Which of these expressions demonstrates the identity property? 25(0) = 25 25(1) = 25 25 + 0 = 25 25 + 1 = 25

Considering their graphs, the interval in which both functions are positive is:

(0, 2)

A function is positive when it's graph is positioned above the x-axis.

Looking at the graph, the functions are positive for x between 0 and 2, hence the interval in which both functions are positive is stated as follows:

(0, 2)

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Answer:

hdchyf

Step-by-step explanation:

fhyrb ufgfyg hchybgvtct ugh

Answer: is 48 eggs .

Step-by-step explanation:

3 hens gives 3 eggs in 3 days

Therefore , 1 gives 1 egg in 3 days

So

3days = 1egg

After that 12 days\/3 times = 4 eggs (in 12 times )

So 1 hen offers 4 eggs in 12 days after that

12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)

Answer:

third angle measures 24°

Step-by-step explanation:

triangles are 180°

add up the first two angles and subtract the sum from 180°

45° + 111° = 156°

180 - 156 = 24

Answer:

x = 6

Step-by-step explanation:

• the diagonals of a parallelogram bisect each other , then

5x + 11 = 4x + 17 ( subtract 4x from both sides )

x + 11 = 17 ( subtract 11 from both sides )

x = 6

Since it's divided equally diagonally, 4x+17 and 5x+11 are equal.

Let's set them equal to each other and solve.]

[tex]4x+17=5x+11[/tex]

Subtract 4x from both sides to combine like terms.

[tex]17=x+11[/tex]

Now subtract 11 from both sides to isolate the variable and solve for x.

[tex]6=x[/tex]

Flip the equation to put in standard form and now you have x :)

[tex]x=6[/tex]

hope this helped!

Answer:

2/3

Step-by-step explanation:

since they are just two colors of fish inside, since the probability is always 1.. so we have to minus 1/3 from 1,which is 1-1/3=2/3

Step-by-step explanation:

the mean value is the sum of all data points divided by the number of data points.

first we have 7 tests and their mean value :

(t1 + t2 + t3 + t4 + t5 + t6 + t7) / 7 = 54

that means

(t1 + t2 + t3 + t4 + t5 + t6 + t7) = 54 × 7 = 378

in order for the mean value to be at least 60% after 8 tests, we need to add a t8, so that

(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) = 60 × 8 = 480

because only then we have

(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) / 8 = 60

and the student passes.

so,

(t1 + t2 + t3 + t4 + t5 + t6 + t7) + t8 = 480

378 + t8 = 480

t8 = 480 - 378 = 102%

the student would have to achieve 102% on the 8th test.

which would be normally impossible, but maybe the tests involve some bonus points.

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

Each "place" in the decimal, can be represented with a base 10 in the numerator.

For example the "tenths" place can be represented as: [tex]\frac{a}{10^1}[/tex] where a=decimal.

The hundredths place can be represented as: [tex]\frac{a}{10^2}[/tex]

The thousandths place can be represented as: [tex]\frac{a}{10^3}[/tex]

and so on...

In this case, we have a decimal in the hundredths place which can be represented as: [tex]\frac{8}{10^2} = \frac{8}{100}[/tex]. Now to simplify this fraction, you simply divide both sides by 4 (greatest common factor of 8 and 100), or in other words multiply it by 0.25/0.25 which is just 1, so the value is the same. [tex]\frac{8}{100} * \frac{0.25}{0.25} = \frac{2}{25}[/tex]

The average rate of change over the interval is 2/9

The interval is given as:

-4 ≤ x ≤ 5

From the table, we have:

f(5) = 4

f(-4) = 2

The average rate of change is then calculated as:

[tex]m = \frac{f(5) - f(-4)}{5 --4}[/tex]

This gives

[tex]m = \frac{4 - 2}{5 +4}[/tex]

Evaluate

[tex]m = \frac{2}{9}[/tex]

Hence, the average rate of change over the interval is 2/9

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Answer:

-1/3

Step-by-step explanation:

1:make y the subject.

2:slope of line is the coefficient of x

Ebony’s bank balance is $400 was Day 8 and this can be explained below.

Jade cannot be true because for every transaction made during withdraws, a little amount of money is collected and as such the amount will never remain $400.

Note that the scenario for the above to occur is:

On day 4, her balance = $400

On day 5, her balance = $40

On day 6, her balance = $400

On day 7, her balance = $400

On day 8, her balance = $400

Another fact is that since she deposited 400 at first, on day 8, there will be a 0 increase so the amount will still be 400.

Therefore, if the above is the case, one can deduce the fact that her balance will still be $400.

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Answer:

○ [tex]3x + 4y = 7[/tex]

Step-by-step explanation:

The general form of the equation of a straight line is as follows:

[tex]\boxed{y = mx + c}[/tex],

where:

m = slope

c = y-intercept.

This means that m, which is the coefficient of [tex]x[/tex], needs to be [tex]-\frac{3}{4}[/tex].

Therefore we have to rearrange each equation given to make y the subject, and then check if the coefficient of [tex]x[/tex] becomes [tex]-\frac{3}{4}[/tex].

• First option:

[tex]4x - 3y = 7[/tex]

⇒ [tex]-3y = -4x + 7[/tex]

⇒ [tex]y = \frac{4}{3}x -{ \frac{7}{3}[/tex]

∴ 'm' is [tex]\bf \frac{4}{3}[/tex], not  [tex]-\frac{3}{4}[/tex], therefore this option is incorrect.

• Second option:

[tex]4x + 3y = 7[/tex]

⇒ [tex]3y = -4x + 7[/tex]

⇒ [tex]y = -\frac{4}{3}x + \frac{7}{3}[/tex]

∴ 'm' is [tex]\bf -\frac{4}{3}[/tex], not  [tex]-\frac{3}{4}[/tex], therefore this option is incorrect.

• Third option:

[tex]3x + 4y = 7[/tex]

⇒ [tex]4y = -3x + 7[/tex]

⇒ [tex]y = -\frac{3}{4}x + \frac{7}{3}[/tex]

'm' is [tex]\bf -\frac{3}{4}[/tex], therefore this option is correct.

Note:

You can rearrange the equation given in the last option, and see that 'm' comes out to be [tex]\frac{3}{4}[/tex], thereby making it incorrect.

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

[tex]\sf{- \dfrac{3}{4}}[/tex]

First, we take all the given options to their slope-intercept form:

[tex]\longrightarrow \sf{y=m x+b}[/tex]

Taking to each equation to its slope-intercept form, you get:

[tex]\small\longrightarrow \sf{-3y = 7 - 4x}[/tex]

[tex]\small\longrightarrow \sf{- \dfrac{4}{ - 3} x + \dfrac{7}{3} }[/tex]

[tex]\small\longrightarrow \sf{y = \dfrac{4}{ 3} x - \dfrac{7}{3} }[/tex]

[tex]\small\longrightarrow \sf{3y = 7 - 4x}[/tex]

[tex]\small\longrightarrow \sf{y = \dfrac{7}{3} - \dfrac{4}{3} x}[/tex]

[tex]\small\longrightarrow \sf{4y y = = 7- 3x}[/tex]

[tex]\small\longrightarrow \sf{y = \dfrac{7}{4} - \dfrac{3}{4} x}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

◉ [tex] \bm{3x+4y=7}[/tex]

Answer:

1. Given

2. Triangle Interior Angle Sum Theorem

3. Substitution Property of Equality

4. Subtraction Property

5. Definition of Complementary Angles

Answer:

1  i(sqrt5)

2  7i

3  -9i

4  -64i

5  -5i(sqrt2)

6  -4i(sqrt3)

7  10i(sqrt3)

8  2i(sqrt2)

9  3i(sqrt7)

10  -30i(sqrt2)

Step-by-step explanation:

i is the square root of (-1). We can simplify each one as such.

Answer: B

Step-by-step explanation: If it goes through a point, flip that point around and that is the point of the inverse. Do that for multiple points to get your answer, which is B

The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.

Given: 12x + 6y = 24

Here x stands for the input and y stands for the output

Replacing y with f(x)

12x + 6f(x) = 24

6f(x) = 24 - 12x

f(x) = (24 - 12x)/6

Domain = {-4, 0, 5}

Put the elements of the domain, one by one, to estimate the range

f(-4) = (24 - 12((-4))/6

= (72)/6 = 12

f(0) = (24 - 12(0)/6

= (24)/6 = 4

f(5) = (24 - 12(5)/6

= (-36)/6 = -6

The range exists {12, 4, -6}

Therefore, the correct answer is option c. {12, 4, -6}.

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The coefficient of determination, r, is the amount of variation in the observed values of the response variable that is explained by the regression line.

About Coefficient of Determination:

When forecasting the result of an event, the coefficient of determination is a statistical measurement that looks at how variations in one variable may be explained by differences in a second variable.

In other words, the coefficient of determination, r, which is more frequently used to refer to the strength of a linear relationship between two variables, is a crucial tool for researchers when undertaking trend analysis.

For illustration, this coefficient of determination might be used to consider the possibility that a woman would give birth to her child on a specific date in the future if she became pregnant on a specific day. This metric's objective in this situation is to determine the relationship between the connected occurrences of conception and birth.

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Answer:

4[tex]\sqrt{3xy}[/tex]

Step-by-step explanation:

4 is a perfect square.  We can pull 2 out from under the square root symbol.

The prime factor of 12 is 2.2.3.  We can pull another 2 outside of the square root symbol.  2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.

Answer:

48

Step-by-step explanation:

The area of this circle is

[tex]\pi( {4}^{2} ) = 16\pi = 50.27[/tex]

about 50.27 square centimeters. So 48 square centimeters seems reasonable here since 3 is used for π.

Answer:

[tex]f(g(x))[/tex]  = [tex]\sqrt{8x - 4}[/tex]

Step-by-step explanation:

• [tex]f(x) = \sqrt{x + 8}[/tex]

• [tex]g(x) = 8x - 12[/tex]

[tex]f(g(x))[/tex] is the combination of the functions [tex]f(x)[/tex] and [tex]g(x)[/tex] such that [tex]g(x)[/tex] is the input to the function [tex]f(x)[/tex] .

This means, we have to replace the original input of  [tex]f(x)[/tex], which is [tex]x[/tex], with the function  [tex]g(x)[/tex].

∴  [tex]f(g(x))[/tex] = [tex]f(8x - 12)[/tex]

               ⇒ [tex]\sqrt{8x - 12 + 8}[/tex]

               ⇒ [tex]\sqrt{8x - 4}[/tex]

The exponential model that best represents the data is f(x) = 2(3)x

Exponential equations are inverse of logarithmic equation. Exponential equations are written in the form y = ab^x

where

a is the base

x is the exponent

Using the coordinate points (0, 2) and (1, 6)

Substitute

2 = ab^0
6 = ab

Take the ratio
6/2 = ab/a
3 = b

Determine the value of 'a"

Recall that

6 = ab

6 = 3a

Divide both sides by 3

3a/3 = 6/3

a = 2

Hence the exponential model that best represents the data is f(x) = 2(3)x

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The solution to the inequality in discuss involving a rational expression as indicated in the task content is; t (9, infinity).

The inequality given in the task content as evident is; (2t +22)/(2t +2) <= 2.

On this note, the inequality can be solved by cross-multiplication as follows;

2t +22 <= 4t +4

Hence, we have;

-2t <= -18

t >= 9.

Hence, when expressed as an interval notation, we have; t (9, infinity).

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In order to find how many times they will blink at the same time we need to find the common multiple of 4 and 6 between 1 and 60.

The first bulb blinks after every 4 seconds, means it blinks in multiple of 4.

The multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.

The second bulb blinks after every 6 seconds, means it blinks in multiple of 6.

The multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.

The common multiple of 4 and 6 = 12, 24, 36, 48, 60.

∴

in sixty seconds they will blink 5 times at the same time.

The probability that the sample mean will be between  89.17 and 101.05 is: 0.940091407

A sample mean is a data set's average. A data set's central tendency, standard deviation, and variance may all be calculated using the sample mean.

The sample mean may be used to calculate population averages, among other things.

The information given are as follows:
μ = 94,

σ = 18

Where Χ = Sample Mean

hence P (89.17 < X< 101.05) =

P [[tex]\frac{89.17 -94}{18/\sqrt{36} } \leq \frac{X -mu}{sd/\sqrt{xn} } \leq \frac{101.5-94}{18/\sqrt{36} }[/tex]]

= P [ -1.61 ≤ Z ≤ 2.5]

= P (Z ≤ -1.61) - P (Z ≤ 2.5)

= NORMSIDST (-1.61) - NORMSDIST (2.5)

= 0.053698928 - 0.993790335

= -0.940091407

Since probability cannot be negative,

The probability that the sample mean will be  between 89.17 and 101.05 is: 0.940091407

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Answer:

(8,14)

Step-by-step explanation:

3x+2y=52

3x+1y=38 Subtract these equations using elimination method to get y=14

Then substitute y=14 to either equation

the bottom one is easier so

3x+1(14)=38 distribute 1 to 14 and any number times one is 1

3x+14=38 Subtract 14 from both sides

3x=24 Divide by 3

x=8 so check now

3(8)+1(14)=38

24+14=38?

38=38? yes

Answer: 6,760,000

Step-by-Step Explanation:

Answer:

m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131

m∠RST = 2x = 2(14) = 28

m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103

Step-by-step explanation:

m∠RSU = m∠RST + m∠TSU

10x - 9 = 2x + (2x + 75)

10x - 9 = 2x + 2x + 75

10x - 9 = 4x + 75

-4x +9     -4x  +9

      6x = 84

         x = 14

m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131

m∠RST = 2x = 2(14) = 28

m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103

The value of the function (h-g)(2.1) is -3.51

The equations of the functions are given as:

Let g(x)= 2x^2+3x-9 and h(x)=x^2+2x-6

To calculate or find (h-g)(2.1), we start by calculating h(2.1) and g(2.1)

This is calculated as follows:

g(2.1)= 2(2.1)^2+3(2.1)-9

Evaluate

g(2.1)= 6.12

h(2.1)=(2.1)^2+2(2.1)-6

Evaluate

h(2.1)=2.61

The function is then calculated as:

(h-g)(2.1) = h(2.1) - g(2.1)

This gives

(h-g)(2.1) = 2.61 - 6.12

Evaluate the difference

(h-g)(2.1) = -3.51

Hence, the value of the function (h-g)(2.1) is -3.51

As a breakdown

g(x)= 2x^2+3x-9

h(x)=x^2+2x-6

g(2.1)= 2(2.1)^2+3(2.1)-9

g(2.1)= 6.12

h(2.1)=(2.1)^2+2(2.1)-6

h(2.1)=2.61

(h-g)(2.1) = h(2.1) - g(2.1)

(h-g)(2.1) = 2.61 - 6.12

(h-g)(2.1) = -3.51

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