Find the x-intercept and y-intercept for 8x-9y=15

Answers

Answer 1

The  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

What are the x and y-intercept?

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

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Related Questions

Admission into an amusement park for 4 children
and 2 adults is $116.90. For 6 children and 3 adults,
the admission is $175.35. Assuming a different price
for children and adults, what is the price of the child's
ticket and the price of the adult ticket?

Answers

Answer:

A child ticket costs $16.50 and an adult ticket costs $25.45.

It is found that the child ticket costs $16.50 and an adult ticket costs $25.45.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that  4 children and 2 adults are $116.90. For 6 children and 3 adults, the admission is $175.35.

Assuming a different price for children and adults,

Let the children are x and the adult is y.

Therefore,

4x + 2y = 116.90

6x + 3y = 175.35

Hence, the child ticket costs $16.50 and an adult ticket costs $25.45.

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219. There is a local maximum at x = 2, local minimum at x = 1, and the graph is neither concave up nor concave down.

Answers

Gsvshsnskwkkeksbsnsjsjs

Solve the system of equations algebraically and create a graphical model.
[tex]3x + 2y = 8 \\ x + 2y = 4[/tex]

Answers

Answer: [tex]x=2, y=1[/tex]

Step-by-step explanation:

Subtracting the second equation from the first yields [tex]2x=4 \longrightarrow x=2[/tex].

This means that [tex]y=1[/tex].

So, the solution is [tex]x=2, y=1[/tex]

3,480

A)348 hundreds
B)3,480 ones
C)3 x 1,000+ 4 x 100 + 8 x 80
D)3 thousands and 80 tens
C)3 thousands and 48 tens

Answers

Answer

B

explanation

3480ones = 3480x1=3480

Heyy i just need some help with questions 29 if anyone could help me and show the work that would be amazing thank you!!

Answers

Step-by-step explanation:

if we are taking in terms of domain.. is d set of number that we can put to the function with get division by zero .. squaroot of negative number,log of zero e.t.c

A) p(x)/m(x)= 1/squaroot(x) ÷ x²-4 which we know that x²-4 must not be equal to zero

because if is equal to zero we will have division by zero, which have contradicted the hypothesis of law of domain

x²-4 =! 0

(x-2)(x+2)=!0

x=!2 or x=!-2 because if is equal to that it's has contradicted d hypothesis

the answer is all real number except -2 and -

2

B)p(m(x))=p(x²-4) =1/squaroot of x²-4

note they are two things involve we must not get division by zero and root of negative number

we have all real number expect from -2 to 2

C)m(p(x))=m(1/root of (x))=(1/root of (x))²_4)

we have 1/x-4

so the answer is all real number expect zero

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as
y
=

10.51
x
+
15.05

and the
r
=

0.45
.

Answers

The proportion of the variation in y that can be explained by the variation in the values of x is 0.2025

How to determine the proportion of the variation in y that can be explained by the variation in the values of x?

The complete question requires that we calculate the proportion of the variation in y that can be explained by the variation in the values of x

The given parameters in the question are:

The regression equation is reported as

y = − 10.51x + 15.05

r = − 0.45

Take the square of both sides in the equation r = − 0.45

r^2 = − 0.45^2

Evaluate the squares

r^2 = 0.2025

This represents the proportion of the variation in y that can be explained by the variation in the values of x

Hence, the proportion of the variation in y that can be explained by the variation in the values of x is 0.2025

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Information about a play took up 1/3 of the pages in the program. Information about the actors took up 1/4 of the remaining pages. Information about the director, the producer, and the designer took up 2 pages, the same number of pages devoted to the actors. How many pages were there in the program? help pls​

Answers

Answer: 4

Step-by-step explanation:

x - (1/3)x - (1/6)x = 2

(6x - 2x - x)/6 = 2

3x/6 = 2

x=4

what is the answer for this question? i really need it

Answers

Answer:

a = 3

b = -9

c = -3

d = 22

e = 49 - 9

f = a^2 -3

Step-by-step explanation:

Please no more questions :(


Lisa is cutting a 14-inch piece of paper into 0.4-inch strips. How many strips of paper will she have when she is finished?

5.6
35
30
28

Answers

35. 0.4 can go into 14 35 times if you divide it

Answer:

take 14/0.4the multiply by ten both the denominator and .numerator then simplify by two your final answer will be 35

Complete each statement describing the transformations you observed for the graph of y = 2x + k.


When the value of k increases, the graph of the function:

When the value of k decreases, the graph of the function:

.

Answers

Using translation concepts, it is found that:

When the value of k increases, the graph of the function shifts up.When the value of k decreases, the graph of the function shifts down.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The translation y -> y + k represents:

A shift up if k > 0.A shift down if k < 0.

Hence:

When the value of k increases, the graph of the function shifts up.When the value of k decreases, the graph of the function shifts down.

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Which expression has a conflict of 10 and a constant of5

Answers

The expression that has a coefficient of 10 and constant of 5 is 10x + 5.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

A coefficient is a number or any symbol representing a constant value that is multiplied by a variable. A constant is a value or number that never changes in expression.

The expression that has a coefficient of 10 and constant of 5 is 10x + 5.

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what is the range of the function f(x) = lxl + 5 ?

Answers

Answer:

All real numbers greater than or equal to 5

Step-by-step explanation:

The range of y=|x| is all real numbers greater than or equal to 0. Adding 5 to this makes the range all real numbers greater than or equal to 5.

Need help please...

Answers

Step-by-step explanation:

Here! ●□●□●□●□● THIS IS THE ANSWER BRO

How many pairs of two digit natural numbers have a difference equal to 50

Answers

The number exists 99, then 99 - 49 = 50

Therefore, the pair of two-digit numbers exist between 99 and 49.

What is the difference?

In math, the word difference exists as the outcome of subtracting one number from another.

Let the first pair of two-digit numbers be xy and the second pair of numbers be yx.

we want a two-digit number, a two-digit number begins from 10 and ends with a two-digit number that exists 99.

Let the difference of 50 exists possible when we take the biggest two-digit number

Therefore, the number exists 99

99 - 49 = 50

Therefore, the pair of two-digit number exists 99 and 49.

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What is the length of CG?

Answers

Answer:

19

Step-by-step explanation:

63÷21=3

21 was multiplied by 3 to get 63

CG by 3 should give 57

Definition of economic costs Gilberto lives in San Diego and runs a business that sells pianos. In an average year, he receives $701,000 from selling pianos. Of this sales revenue, he must pay the manufacturer a wholesale cost of $420,000; he also pays wages and utility bills totaling $247,000. He owns his showroom; if he chooses to rent it out, he will receive $9,000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Gilberto does not operate this piano business, he can work as a financial advisor, receive an annual salary of $32,000 with no additional monetary costs, and rent out his showroom at the $9,000 per year rate. No other costs are incurred in running this piano business.

Answers

The wholesale cost for the pianos that Tim pays the manufacturer, wages and utility bills that Tim pays are counted as explicit cost. On the other hand, the salary that Tim could earn if he worked as an accountant and the rental income that Tim could earn from renting his showroom fall under implicit cost.

Difference between Implicit Cost and Explicit Cost:

These two expenses, implicit cost and explicit cost, both represent company activity. The connection between cost and business is what distinguishes these two.

An explicit cost is one that the owner bears directly; an implicit cost is one that the owner bears indirectly without paying or utilizing its own resources. However, the organization or corporation takes into account both expenses while making management decisions.

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6n−8(n+4)= what? Please help me

Answers

Answer:

-2n -32

Step-by-step explanation:

Acc. to BODMAS

we multiply first

⇒-6n - -8 x [(+4) (n)]

⇒ 6n  - 8n x -32

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{6n - 8(n + 4)}[/tex]


[tex]\huge\textbf{Solve: }[/tex]

[tex]\mathsf{6n - 8(n + 4)}[/tex]


[tex]\huge\textbf{Distribute \boxed{\bf -8} within the parenthesis:}[/tex]

[tex]\mathsf{= 6n - 8(n) - 8(4)}[/tex]

[tex]\mathsf{= 6n - 8n - 32}[/tex]


[tex]\huge\textbf{Combine the like terms: }[/tex]

[tex]\mathsf{= (6n - 8n) - (32)}[/tex]

[tex]\mathsf{= 6n - 8n - 32}[/tex]

[tex]\mathsf{= -2n - 32}[/tex]


[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{{ -2n - 32}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}}[/tex]

4. Find the value of x & y from the following equation 4x+5y=90, x+y=20 a. 10, 15 b. 10, 5 c. 10, 8 d. 10, 10​

Answers

Answer:

d. 10, 10

Step-by-step explanation:

4(10)+5(10) = 40 + 50 = 90

10 + 10 = 20

Hope this helps

An equation is formed of two equal expressions. In the two of the given equations, the value of x and y are 10 and 10, respectively. The correct option is D.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two of the equation, which can be named as,

4x+5y=90   ...... equation 1

x+y=20   ............ equation 2

Solve the second equation for x,

x + y = 20

x = 20 - y ................ equation 3

In the first equation substitute the value of x from the third equation,

4x + 5y = 90

4(20 - y) + 5y = 90

Solving the equation for y,

80 - 4y + 5y = 90

y = 90 - 80

y = 10

Substitute the value of y in the second equation, to get the value of x,

x + y = 20

x + 10 = 20

x = 20 - 10

x = 10

Hence, In the two of the given equations, the value of x and y are 10 and 10, respectively.

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Please help i cant seem to figure this out

Answers

Answer:

A

Step-by-step explanation:

First we need to solve the inequality: -3b-15>-24

-3b-15>-24

-3b>-9

b<3 (we divided by a negative so we flip the sign)

This means that we have an empty circle and the arrow pointing left

[tex]\boldsymbol{\sf{-3b-15 > -24 }}[/tex]

Add 15 to both sides.

      [tex]\boldsymbol{\sf{-3b > -24+15 \ \longmapsto \ \ \ [Add \ -24+15] }}[/tex]

               [tex]\boldsymbol{\sf{ -3b > -9}}[/tex]

Divide both sides by −3. Since −3 is < 0, the inequality direction is changed.

               [tex]\boldsymbol{\sf{b < \dfrac{-9}{-3} \ \ \longmapsto \ \ [Split] }}[/tex]

                    [tex]\red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ b < 3}}}}[/tex]

Alternative "A"

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Copy the proof, mark the givens in the diagram and fill in the blanks to complete the proof

Answers

Answer:

Step-by-step explanation:

Draw UT                         Construction

UT = UT                         Reflexive Property

BT = EU                           Given

BU = ET                           Given

ΔUBT = ΔEUT                SSS = SSS

<B = <E                             CPCTC

The bolded parts are the blanks you need to fill in.

Answer:

Draw UT                         construction

UT = UT                         reflexive property

BT = EU                           given

BU = ET                           given

ΔUBT = ΔEUT                SSS = SSS

<B = <E                             CPCTC

hope this helps!

Choose the number (X) that should come next in this series (1, 2, 6, 15, X, 56, 92)

Answers

Answer:

31

Step-by-step explanation:

The numbers in the sequence increase by (n+1)^2. So the sequence is (1, 1+1^2 (which is 2), 2+2^2 , 6+3^2, 15+4^2, 31+5^2, 56+6^2) and the fifth term of that sequence is 15+4^2, which is 31

The unknown number(x) in the series is 31.

The given series 1, 2, 6, 15, x, 56, 92.

We need to find the value of x.

What is a series?

In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, and mathematical analysis.

The numbers in the series increase by (n+1)².

So the sequence is 1, 1+1² (which is 2), 2+2², 6+3², 15+4², 31+5², 56+6² and the fifth term of that sequence is x=15+4²=31.

Therefore, the unknown number(x) in the series is 31.

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which graph represents -5x+3y is equal to or greater than 9

Answers

Answer:

First, transform the given equation into the slope intercept form.

-5x + 3y >= 9

3y >= 5x + 9

y >= 5/3x + 3


Then graph the line y = 5/3x + 3. Draw a solid line with y intercept 3 and slope of 5/3.

Finally, shade everything that is above the line.

pleaseee helpp
which of the following enequalities would produce the region indicated on the graph below

Answers

Answer: C

Step-by-step explanation:

The line [tex]y=x+2[/tex] is shaded below and is solid.

This eliminates all the options except for C.

Sodas cost $1.75 each. Write a direct
proportional equation using (s) for sodas and
(t) for total cost.

Answers

Answer:

t = 1.75(s)

Step-by-step explanation:

I gotchu

Pls answer these questions ASAP

Answers

From the given descriptions and dimensions, we have;

6. 2000 cm²

7. 81 m²

8. a. 138 m²

b. 538 m²

c. 62 cm²

9. $107.25

Which method can be used to calculate the surface areas and cost?

6. Type of box = Open box with no lid

Side length of the box = 20 cm

Therefore;

Number of faces of the box, painted = 5

Area of a face of the box = 20² = 400

Area of the surface painted, A = 5 × 400 cm² = 2000 cm²

7. Area of the plastic to cover one book, A, is found as follows;

A = 2 × 20 × 15 + 2 × 3 × 15 + 2 × 20 × 3

Which gives;

A = 600 + 90 + 120 = 810

The area of plastic needed to cover 1000 books is therefore;

Total area = 1,000 × 810 cm² = 810,000 cm²

Conversion of cm² to gives;

1 m² = 10,000 cm²

Therefore;

A = 810,000 cm² = 810,000 cm² × 1/10,000 m²/cm² = 81 m²

The area of plastic needed to cover 1000 books is A = 81 m²

8. The surface areas are;

a. A = 2 × 3 × 6 + 5 × 6 + 7 × 6 + 2×3×(3+7)/2 = 138

The surface area is 138 m²

b. A = 2 × 15 × 5 + 2×(10×5 + (6×8)/2) + 2×8×15 = 538

A = 150 + 148 + 240 = 538

The surface area is 538 m²

c. From the congruent marks, we have;

A = 5 × 3 × 3 + 5×1×3 + 2×1×1 = 62

The surface area is 62 cm²

9. From the congruent markings, we have;

A = 2 × (1.5 × 1.5 + (1.5 × 1.3)/2) + 5×2×1.5

A = 6.45 + 15 = 21.45

Surface area of a the canvas, A = 21.45 m²

Cost per unit area of the canvas, c = $5

Cost of the canvas for the tent, C, is therefore;

C = $5/m² × 21.45 m² = $107.25

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Simplify. ‒36 ÷ (27 ÷ 3 ∙ 2)

Answers

The simplified value  of expression -36/(27/3*2) is -8.

Given an expression -36/(27/3*2).

We are required to find the simplified value of given expression. To simplify the expression we need to use addition,subtraction,multiplication, division, brackets, etc. We can say that we have to use BODMAS in order to find the simplified value of expression.

Expression is combination of numbers, symbols, coefficients, determinants, indeterminants, fraction,algebraic operations,etc.  usually not found in equal to form.

The given expression :

=-36/(27/3*2)     (Multiplying 3 and 2 first)

=-36/(27/6)

=(-36*2)/9   (Invert the fraction given in denominator)

=-72/9          (Multiplying -36 to 2)

=-8

Hence the simplified value of expression -36/(27/3*2) is -8.

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What's the Value of X in 1/2 + X = 5/6

Answers

Answer:

x = 1/3

Step-by-step explanation:

1/2 + X = 5/6

collecting the like terms

X = 5/6 - 1/2

making one fraction on the left side by taking the common denominator

X = (5 - 3)/6

X = 2/6

devide the numerator and denominator by 2, you get

X = 1/3

an employee at a factory is paid $9.25 per hour plus a $8.00 bonus for every 20 transformers assemble.

Answers

Answer:

Step-by-step explanation

Answer:

$13.47 per hour

Step-by-step explanation:

Total earnings = 9.25 (h) + 8 (t/20)

Where h is the number of hours and t is the number of transformers.

Since he worked for 36 hours and assembled 380 transformers:

Total earnings = 9.25 (36) + 8 (380/20)

Total earnings = 333+152 = $485

Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):

485/36 = $13.47 per hour.

Find the area of the rhombus 12 5

Answers

30 units

I also attached here the solution of area of rhombus

Rebecca drew a graph with these key features:

The function is decreasing.
The left end is approaching a constant.
Which function could be represented by Rebecca’s graph?


Answer that was correct for me was: f(x) =-2(5/4)^x+3

Answers

The function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3

How to determine the function that could be represented by Rebecca’s graph?

The properties are given as:

The function is decreasing.The left end is approaching a constant.

For an exponential function to keep decreasing, one or more the following must be true:

The rate is less than 1The leading factor is negative and the rate is greater than 1

For the left end of an exponential function to approach a constant, the following must be true:

The leading factor is negative and the rate is greater than 1

The equation that has the above properties is f(x) =-2(5/4)^x+3

Hence, the function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3

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