Which angle is the angle of depression for the man looking at his dog?
A
B
C
D
Answers
Answer:
D
Step-by-step explanation:
An angle of depression is measured from the horizontal downwards.
this is angle D in the diagram
Related Questions
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic function with its respective graph. Graph Functions Graph of quadratic functions on a coordinate plane. Upward parabola vertex is at (2, 1) in quadrant 1. Left slope at (1, 2), (0, 5) enters quadrant 3. Right slope is at (3, 2), (4, 5) in quadrant 1. arrow Both Graph shows downward parabola plotted on a coordinate plane. The parabola has vertex at (minus 1, 4). The parabola has left slope at (minus 3, 0) and right slope at (1, 0). arrowBoth Graph shows upward parabola plotted on a coordinate plane. The parabola has vertex at (3, minus 4). The parabola has left slope at (1, 0) and right slope at (5, 0). arrowBoth
Answers
The correctly matched quadratic functions are given as follows:
Part A) The function of the First graph is f(x) = (x-3) (x + 1) Part B) The function of the Second graph is f(x) = -2 (x - 1) ( x + 3) Part C) The function of the Third graph is f(x) = 0.5(x - 6) (x + 2) What is a Quadratic Function?Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term.
Quadratic equations are another name for it. The quadratic equation has the following general form: ax2 + bx + c = 0.
How do we correctly match the graphs?Recall that:
f(x) - a (x -c) (x - d)
where
a is the leading coefficientc and d are the roots or zeros of the function.Part A) First graph
We are given to know
The solutions or zeros of the first graph are
x=-1 and x=3
The parabola open up, so the leading coefficient a is positive, the function therefore, is equal to
f(x) = (x-3) (x + 1); Find the value of the coefficient a.The vertex is equal to the point (1, -4)
Substitute and solve for a
-4 = a(1-3)(1+1)
-4 = a(-2)(2)
a = 1
Hence, the function is equal to f(x) = (x-3) (x + 1)
Part B) Second Graph
We are also given to know that
The solutions or zeros of the first graph are
x=-3 and x=1
The parabola open down, so the leading coefficient a is negative
The function is equal to f(x) = a (x-1)(x+3)
Find the value of the coefficient a
The vertex is equal to the point (-1,8)
to solve for a, we must substitute:
8 = a(-1-1) (-1+3)
8 = a(-2)(2)
a = -2
Hence, the function is equal to: f(x) = -2 (x - 1) ( x + 3)
Part C)
We are given to know that the solutions or zeros of the first graph are
x=-2 and x=6
The parabola open up, so the leading coefficient a is positive
The function is equal to f(x) = a(x-6) (x+2).
Find the value of the coefficient a
The vertex is equal to the point (2,-8)
We substitute and solve for a:
-8 = a(2-6) (2+2)
-8 = a(-4)(4)
a = 0.5
Hence, the function is equal to f(x) = 0.5(x - 6) (x + 2)
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Let x = a bi and y = c di and z = f gi. which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x × (y × z) x – y = y – x (x y) z = x (y z) (x – y) – z = x – (y – z)
Answers
The first one , the second one ,the fourth one are true.
What is a commutative property in math?
This law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.
1) x + y = y + x = a + c (b + d ) i true
2) ( xy )z = x (yz) = (a + bi)(c + di)( f + gi) true
3) x - y = a + bi - ( c - di ) = a - c + ( b- d )i
y - x = c + di - ( a+bi) = c-a +(d-b)i false
4) (x + y ) + z = x + ( y + z ) = a + c +f + (b +d + g)i true
5) (x - y ) - z = a + bi - ( c + di) - ( f + gi)
= a - c . f + ( b- d - g) i
x - ( y - z ) = a + bi - ( c + di - f - gi )
= a - c + f + ( b - d + g ) i
{ put the hypothesis into the equation and get the proof }
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Which of the following shows the simplified function of csc x sin(pi/2 -x)?
Answers
Answer:
cot x
Step-by-step explanation:
using the identities
csc x = [tex]\frac{1}{sinx}[/tex]
sin([tex]\frac{\pi }{2}[/tex] - x) = cos x
then
csc x × sin ([tex]\frac{\pi }{2}[/tex] - x)
= [tex]\frac{1}{sinx}[/tex] × cosx
= [tex]\frac{cosx}{sinx}[/tex]
= cot x
4ln x -8=12 its giving me other equations
Answers
The solution of the given logarithmic equation is x = 28.1
How to solve the logarithmic equation?
Here we have the logarithmic equation:
4*ln(x - 8) = 12
And we want to solve this for x.
Remember the relations:
[tex]ln(e^x) = x\\e^{ln(x)} = x[/tex]
First, we divide both sides by 4:
[tex]ln(x - 8) = 12/4 = 3[/tex]
Then, if we apply the exponential equation to both sides of our equation, we get:
[tex]e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1[/tex]
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use the diagram to answer the question. what is the value of x
Answers
Answer:
2√(133)
Step-by-step explanation:
Triangle 1 = 8, 12, ?
triangle 2 = 18, x, ?
we have to find value of x which is a hypotenuse
a² + b² = c²
8² + 12² = 64 + 144 = √208 = 14.4222051019
x = 14.4222051019² + 18²
= 208 + 324
= 532
x = √532 = 2√(133)
Michael is constructing a circle circumscribed about a triangle. he has partially completed the construction. what should be his next step in the construction?
Answers
Answer:
Connect the arcs to make a perpendicular bisector
Daniela recorded the low temperatures during the school day last week and this week. Her results are shown in the table below.
Low Temperatures during the School Day This Week and Last Week
Low Temperatures
This Week (Degrees Fahrenheit)
42
38
45
46
39
Low Temperatures
Last Week (Degrees Fahrenheit)
56
58
52
62
62
Daniela used the steps below to find a relationship between the difference in the mean temperatures and the mean absolute deviations of the data sets.
This Week Last Week
Step 1
Find the mean.
StartFraction 42 + 38 + 45 + 46 + 39 over 5 EndFraction = 42
Find the mean.
StartFraction 56 + 58 + 52 + 62 + 62 over 5 EndFraction = 58
Step 2
Find the mean absolute deviation.
StartFraction StartAbsoluteValue 42 minus 42 EndAbsoluteValue + StartAbsoluteValue 38 minus 42 EndAbsoluteValue + StartFraction StartAbsoluteValue 45 minus 42 EndAbsoluteValue + StartFraction StartAbsoluteValue 46 minus 42 EndAbsoluteValue + StartFraction StartAbsoluteValue 39 minus 42 EndAbsoluteValue over 5 EndFraction = 2.8
Find the mean absolute deviation.
StartFraction StartAbsoluteValue 56 minus 58 EndAbsoluteValue + StartAbsoluteValue 58 minus 58 EndAbsoluteValue + StartFraction StartAbsoluteValue 52 minus 58 EndAbsoluteValue + StartFraction StartAbsoluteValue 62 minus 58 EndAbsoluteValue + StartFraction StartAbsoluteValue 62 minus 58 EndAbsoluteValue over 5 EndFraction = 3.2
Step 3 Find the ratio of the differences of the means compared to the mean absolute deviation.
StartFraction 42 over 2.8 EndFraction = 15 Find the ratio of the differences of the means compared to the mean absolute deviation.
StartFraction 58 over 3.2 EndFraction = 18.125
Step 4 The difference in the means is about StartFraction 15 + 18 over 2 EndFraction = 16.5 times the mean absolute deviations.
In which step did Daniela make the first error?
Answers
Based on the information given about the temperature, Daniela made her error on step 3 because it says: "Find the ratio of the differences of the means compared to the mean absolute deviation.
How to illustrate the error?From the information given, it van be seen that Daniela recorded the low temperatures during the school day last week and this week and her results are shown in the table.
Here, she didn't find the difference between the today and last week means. She just put the mean as a whole.
Therefore, Daniela made her error on step 3 because it says: "Find the ratio of the differences of the means compared to the mean absolute deviation. This was the error.
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solve the following system {y=x^2-3 and {y=3x-3 graphically and algebraicallyPLEASE HELP ME IM BEGGING
Answers
Answer:
There are two solutions:
x = 0, y = -3 Point (0, -3)
x = 3, y = -6 Point (3, 6)
The solutions are at the intersections of the two individual graphs corresponding to each of the two equations (see attached figure)
Step-by-step explanation:
Use a graphing calculator or tool to plot each equation. The point of intersection of the two is the solution to the system of equations. See attached image
Algebraically
The first equation must be equal to the second equation for a unique value of y and x
[tex]y = x^2 - 3 = 3x -3\\x^2 - 3 = 3x - 3[/tex]
Subtract 3x - 3 from both sides giving
[tex]x^2 - 3 - (3x -3) = 0\\x^2 -3 -3x + 3 = 0\\x^2 - 3x = 0\\[/tex]
Factoring out x we get
[tex]x(x-3) = 0[/tex]
This means that x = 0 and also
x -3 = 0, or x = 3
Substituting for x = 0 in y = 3x-3 gives
y = 3.0 - 3 = -3
So x= 0, y = -3 is one solution (0,-3)
Substituting for x = 3 in the same equation gives
y = 3(3) - 3 = 6
So x = 3, y = 6 is another solution (3, 6)
how many lengths of strings measuring 0.8meters long can be cut from a piece of string measuring 0.5kilometers
Answers
0.0016
reduce expression if possible by canceling the common factors
If $1= rs 115.4 ( buying rate ) and $1=rs116.20(selling rate). find the profit while selling and buying $6000.
Answers
The profit is Rs.4800.
What is profit?When, in a transaction, the selling price is greater than the cost price, it means we earn a profit. It is calculated with the help of the formula: Profit = Selling price - Cost price.
Given that,
S.P =$6000
C.P = $6000
If, 1$ = Rs.115.4 (in cost price)
1$ = Rs.116.20 (in selling price)
Then,
C.P = Rs. 115.40×6000
S.P = Rs. 116.20×6000
Then,
Profit = S.P-C.P
= 116.20×6000 -115.40×6000
= (116.20-115.40)×6000
= 0.80×6000
= Rs.4800
Hence, The profit is Rs.4800.
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Identify the two tables which represent quadratic relationships. x 0 1 2 3 y -4 -8 -10 -10 x 0 1 2 3 y 4 -4 -4 4 x 0 1 2 3 y -2 0 2 4 x 0 1 2 3 y 1 2 4 8 x 0 1 2 3 y -2 -4 -8 -16 x 0 1 2 3 y 3 4 5 6
Answers
To estimate that table given in Option (4) will define the quadratic relationship.
Therefore, the table of Option (5) will describe the quadratic relationship.
How to estimate the quadratic relationships between two tables?By estimating the second difference, if the second difference in a table exists equivalent, the table will define the quadratic relationship.
In the given option, we estimate that table given in Option (4) will define the quadratic relationship.
x y I st difference II nd difference
0 4 - -
1 -4 -4 - (4) = -8 -
2 -4 -4 - (-4) = 0 0 - (-8) = 8
3 4 4 - (-4) = 8 8 - 0 = 8
The second difference between the terms in y exists exactly as 8.
Therefore, the table of Option (4) means the quadratic relationship.
Similarly, in Option (5) we will estimate the second distinction of y terms.
x y I st difference II nd difference
0 -4 - -
1 -8 -8 - (-4) = -4 -
2 -10 -10 - (-8) = -2 -2 - (-4) = 2
3 -10 -10 - (-10) = 0 0 - (-2) = 2
Here the second difference exists identical to 2.
Therefore, the table of Option (5) will describe the quadratic relationship.
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What is the value of y?
Z
Y
60 degrees
70 degrees
50 degrees
Answers
Using proportions, the value of y is of 100º.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In a circle, the measure of an arc is twice the measure of it's equivalent internal angle. The internal angle is of 50º, hence the measure of the arc, given by y, is found as follows:
y = 2 x 50º = 100º.
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400 people were surveyed for this grab how many more people prefer vanilla than do strawberry
Answers
Using proportions, it is found that 68 more people prefer vanilla than do strawberry.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching this problem on the internet, it is found that, out of 400 people:
35% preferred vanilla.18% preferred strawberry.Hence the amounts are:
V = 0.35 x 400 = 140.S = 0.18 x 400 = 72.The difference is:
140 - 72 = 68.
68 more people prefer vanilla than do strawberry.
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does someone mind helping me with this question? Thank you!
Answers
Answer:
4/9
Step-by-step explanation:
.44444.. = 4/9
0.nnnnnnnn.... = n/9
0.mnmnmnmnmn.... = mn/99
and so on
If the mean on a test is 83 and the standard deviation is 6: What % has:
At least a 70% (passing with a C)
An 80 or above (a B)
Answers
Using the normal distribution, it is found that:
98.5% of students have at least a 70.69.15% of students have an 80 or above.Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation for this problem are given, respectively, by:
[tex]\mu = 83, \sigma = 6[/tex]
The proportion of students, with a grade of at least 70 is one subtracted by the p-value of Z when X = 70, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 83}{6}[/tex]
Z = -2.17
Z = -2.17 has a p-value of 0.015.
1 - 0.015 = 0.985 = 98.5% of students have at least a 70.
The proportion of students, with a grade of at least 80 is one subtracted by the p-value of Z when X = 80, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 83}{6}[/tex]
Z = -0.5
Z = -0.5 has a p-value of 0.3085.
1 - 0.3085 = 0.6915 = 69.15% of students have an 80 or above.
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If h(x) = 5 x and k (x) = startfraction 1 over x endfraction, which expression is equivalent to (k circle h) (x)?
Answers
The equivalent expression to [tex](k o h)(x)[/tex]is [tex]\frac{1}{5 + x}[/tex]
Therefore [tex](k o h)(x) = \frac{1}{5 + x}[/tex]
Given that the functions h is defined by h(x)=5+x
and k is defined by k (x) = [tex]\frac{1}{x}[/tex]
To find the composition of k and h that is: (k o h) (x)
Therefore
k (h(x)) = k (5+x)
k (h(x)) = [tex]\frac{1}{5+ x}[/tex]
The equivalent expression to is [tex]\frac{1}{5+ x}[/tex]
What is expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.Expressions are syntactic devices. It must be properly constituted, which means that the permissible operators must have the right amount of inputs in the right places, legal characters for these inputs, a clearly defined order of operations, etc.The syntax requirements must be followed for a string of symbols to be considered a valid mathematical expression.To learn more about Expression with the given link
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The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
Question 6 options:
A)
G
B)
F
C)
H
D)
E
Answers
Answer: H
Step-by-step explanation:
[tex]9(-3)=-27[/tex], which is an integer.
The chart below shows conversion between gallons and fluid ounces.
Conversion Chart
Gallons
Fluid Ounces
2
256
3
384
4
512
6
?
What is the missing value in the table?
Answers
======================================================
Explanation:
To go from gallons to fluid ounces (abbreviation fl oz), we multiply by 128
For example, 2 gallons becomes 2*128 = 256 fl oz as shown in the table.
Another example: 3 gallons = 3*128 = 384 fl oz.
Therefore, 6 gallons would be 6*128 = 768 fl oz.
To go in reverse, from fl oz to gallons, we divide by 128.
Urve revolves around the x-axis. if you cannot evaluate the integral exactly, use your calculator to approximate it. (round your answer to four decimal places. ) y = 16 − x2 from x = −1 to x = 1
Answers
The value of integration of y=16-[tex]x^{2}[/tex] from x=-1 to x=1 is 94/3.
Given the equation y=16-[tex]x^{2}[/tex] and the limit of the integral be x=-1,x=1.
We are required to find the value of integration of y=16-[tex]x^{2}[/tex] from x=-1 to x=1.
Equation is relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c.It may be linear equation, quadratic equation, or many more depending on the power of variable.
Integration is basically opposite of differentiation.
y=16-[tex]x^{2}[/tex]
Find the integration of 16-[tex]x^{2}[/tex].
=16x-[tex]x^{3}/3[/tex]
Now find the value of integration from x=-1 to x=1.
=16(1)-[tex](1)^{3}/3[/tex]-16(-1)-[tex](-1)^{3}/3[/tex]
=16(1)-1/3+16-1/3
=32-2/3
=(96-2)/3
=94/3
Hence the value of integration of y=16-[tex]x^{2}[/tex] from x=-1 to x=1 is 94/3.
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Solve the system of equations by substitution.
3 /8 x +1/3y =17/24
x + 7y = 8
Answers
By substitution, the value of x and y are 1 and 1 respectively.
How to solve system of equation?3 / 8 x + 1 /3 y = 17 / 24
x + 7y = 8
x = 8 - 7y
Let's substitute the value of x in equation(ii)
3 / 8(8 - 7y) + 1 / 3 y = 17 / 24
3 - 21 / 8 y + 1 / 3 y = 17 / 24
1 / 3 y - 21 / 8 y = 17 / 24 - 3
8y - 63y/24 = 17 - 72/ 24
-55y / 24 = -55 / 24
cross multiply
-1320y = -1320
divide both sides by -1320
y = -1320 / -1320
y = 1
Hence,
x + 7(1) = 8
x = 8 - 7
x = 1
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Bob's favorite restaurant were salmon filet and filet mignon. The restaurant served 70 specials in all, 80% of which were salmon filets. How many salmon filets did the restaurant serve?
Answers
By working with percentages, we will see that they served 56 salmon filets.
How many salmon filets did the restaurant serve?
Here we know that the restaurant served 70 specials in total, such that 80% of these were salmon filets.
So we just need to calculate what is the 80% of 70.
This is just given by:
70*(80%/100%) = 70*0.8 = 56
This means that they served 56 salmons filet.
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algebra 2: help please
a scuba diver enters the water 1m away from her boat. She dives down and then resurfaces 12m away from her boat. Her diving path id in the shape of a quadratic function, where x is the distance away from the boat and y is the distance away from the surface of the water, and negative values of y are below the water. She reaches a maximum depth of 30.25m below the surface of the water.
Her diving partner wants to estimate the diver’s depths at different points away from the boat. What is the diver’s depth when she is 4m away from the boat?
Answers
Answer:
24 m depth
Step-by-step explanation:
The quadratic function modeling depth will have zeros at x=1 and x=12, the distances in meters from the boat where the diver is at the surface.
Quadratic functionThe factored form of a quadratic function can be written as ...
y = a(x -p)(x -q)
where p and q are zeros of the function. The value 'a' is a vertical scale factor.
Here, we are given y=0 at the surface, at points where x=1 and x=12. This means the function can be written as ...
y = a(x -1)(x -12)
Scale factorTo find the value of 'a', we can use the maximum depth value. That depth will be halfway between the function zeros, at x = (1+12)/2 = 6.5
-30.25 = a(6.5 -1)(6.5 -12)
30.25 = 5.5²·a = 30.25a ⇒ a=1
Model of depthThen the function modeling the diver's depth in meters is ...
y = (x -1)(x -12)
And the depth at x=4 will be ...
y = (4 -1)(4 -12) = 3(-8) = -24 . . . . meters
The diver's depth is 24 meters when she is 4 m away from the boat.
You are on a jungle expedition and come to a raging river. You need to build a bridge across the river. You spot a tall tree directly across from you on the opposite bank (point ). You place a pole in the ground to mark the position directly across from the tree. From the spot you are standing, you walk directly downstream 16 feet and place another pole (point ). You keep walking down stream and mark a third spot with a pole that is 7 feet from your last pole (point ). Turning perpendicular from the last pole, you walk away from the river 9 feet to another position and place a fourth pole (point ).
a. Determine if the two triangles are similar. Explain which similarity theorem you used and why.
b. Use proportions to calculate the distance across the river.
A large tree is close to point and we could chop it down at an angle to reach point and safely cross the river.
c. How tall does the tree need to be to span the river from point to ?
Answers
Graduate management aptitude test (gmat) scores are widely used by graduate schools of business as an entrance requirement. suppose that in one particular year, the mean score for the gmat was 473, with a standard deviation of 104. what values are three standard deviations within the mean?
Answers
The values that exist two standard deviations above and below the mean are 681 and 265.
How to determine the values?The given parameters exist:
Mean = 473
Standard deviation =104
The values above and below the mean exist calculated utilizing:
[tex]$x=\bar{x} \pm n \sigma$[/tex]
In this case n = 2.
So, we have, [tex]$x=\bar{x} \pm 2 \sigma$[/tex]
The value above is:
x = 473 + 2 [tex]*[/tex] 104 = 681
The value below is:
x = 473 - 2 [tex]*[/tex] 104 = 265
Therefore, the values that exist two standard deviations above and below the mean are 681 and 265.
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JUST NEED A BIT OF HELP PLS
Answers
Step-by-step explanation:
1st : Vector translation.
a vector -8j ( 0 , -8 ) helped translate (x , y) => (x , y - 8)
2nd : rotation.
The only rotation that results in (-x , -y) is pi rotation.
formula : (x , y -8) => ( xcos(pi) - ysin(pi) , xsin(pi) + ycos(pi) )
substitute x & y-8 into x & y respectively of the formula above.
90 times 2.5 divided by 3 +200,000?
Answers
Answer:
200,075
Step-by-step explanation:
90 times 2.5 = 225
225 divided by 3 = 75
75 + 200,000 = 200,075
Answer: 200075
Step-by-step explanation:
90 * 2.5 = 225
225 / 3 = 75
75 + 200,000 = 200,075
How many lbs of peanuts must mike add to 9 lbs of mixed nuts containing 40% peanuts to make a mixture with 73% peanuts
Answers
The new mixture exists 56.5% peanuts.
How to estimate the total number of peanuts required for the mixture?The first batch of 9 lb of mixed nuts possesses 40% peanuts.
This means the quantity of peanuts exists:
9 [tex]*[/tex] 40/100 = 3.6 lb
The second batch of 9 lb of mixed nuts possesses 73% peanuts.
This means the quantity of peanuts exists:
9 [tex]*[/tex] 73/100 = 6.57 lb
The total quantity of peanuts in the mix exists
3.6 lb + 6.57 lb = 10.17 lb
There exist 9 lb + 9 lb = 18 lb of mix.
Therefore, the percent of peanuts in the mix exists:
10.17 / 18 [tex]*[/tex] 100 = 56.5%
The new mixture exists 56.5% peanuts.
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Erin has developed a new lotion that will help children with sensitive skin. she invests $15,225 in equipment to manufacture and package her lotion. each bottle costs $3.25 to manufacture and sells for $12. how many bottles of lotion must she make and sell before her business breaks even? a. 998 bottles b. 1740 bottles c. 174 bottles d. 1269 bottles
Answers
Her business will break even when she contains sold 1740 bottles of her lotion.
How many bottles of lotion must she make and sell before her business breaks even?Given: She invests $15,225 in equipment to manufacture and package her lotion each bottle costs $3.25 to manufacture and sells for $12.
"Break even" occurs when Revenue = Costs.
($12/bottle)x = $15225 + ($3.25)x
Simplifying the above equation, we get
$8.75x = $15225
Diving both sides of the equation by 8.75, we get
$8.75x/8.75 = $15225/8.75
x = 1740 bottles
Therefore, the value of x = 1740 bottles.
Her business will break even when she contains sold 1740 bottles of her lotion.
Therefore, the correct answer is option b. 1740 bottles.
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The graph f(x) = (x + 2) ^ 2 - 7 is translated 3 units up, resulting in the graph g(x) . Which equation represents the new function, g(x) ?
Answers
Step-by-step explanation:
x^2 +4x +4 -7 is
y=x^2+4x-3
Answer: g(x)=(x+2)²-4.
Step-by-step explanation:
g(x)=f(x)+3
g(x)=(x+2)²-7+3
g(x)=(x+2)²-4.
Students in Ms. Valendra’s science class planted 13 in different places around the school yard. After one month, they measured the heights of the conifers. They rounded each measurement to the nearest 1/4
Answers
Considering the dot plot, it is found that the tallest conifer is 3.25 inches taller than the shortest conifer.
What does a dot plot shows?It shows, with dots, the number of times that each of the measures appears in a data-set.
Researching this problem on the internet, and finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4 = 6.25 inches.The tallest conifer measures 9.5 inches.The difference is:
9.5 - 6.25 = 3.25 inches.
Hence the tallest conifer is 3.25 inches taller than the shortest conifer.
More can be learned about a dot plot at https://brainly.com/question/24912483
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