Consider the equation 1.5x+4.5y=18. For each question, explain or show your reasoning.




Where does the graph intersect the y-axis (answer should be an ordered pair)?

Answers

Answer 1

Given:

The equation is

[tex]1.5x+4.5y=18[/tex]

To find:

The y-intercept (in ordered pair).

Solution:

We have,

[tex]1.5x+4.5y=18[/tex]

Putting x=0, we get

[tex]1.5(0)+4.5y=18[/tex]

[tex]0+4.5y=18[/tex]

[tex]4.5y=18[/tex]

Divide both sides by 4.5.

[tex]y=\dfrac{18}{4.5}[/tex]

[tex]y=4[/tex]

So, y-intercept is 4.

Therefore, the graph intersect the y-axis at (0,4).


Related Questions

Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours, what equation could be used to determine how long it will take bonnie to do the job alone

Answers

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

That looks like interior angle to me

x = 47 (since interior angles are congruent)

Step-by-step explanation:

I am really sleepy... :/

write as an algebraic expression: Two less than two times a number (y).

Answers

Answer: 2y-2

Step-by-step explanation:

Y represents the number

If you were to solve this you would have to do 2 times a number which is shown by 2y.

Then, you need to subtract 2 from 2y.

Therefore, the answer is 2y-2

The expression for the given verbal expression is 2y-2.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is a verbal expression, Two less than two times a number.

We need to convert it into mathematical expression,

Let the number be y,

Therefore, two times a number = 2y

And Two less than = -2

Therefore,

Two less than two times a number = 2y-2

Hence, the expression for the given verbal expression is 2y-2.

Learn more about expression, click;

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if y = 4 when x = -4 find y when x = 7

Answers

Answer:

-7

Step-by-step explanation:

Assuming y and x are the opposites of each other, when x = 7 y must be -7.

You purchased a computer for your business for $800 using straight line depreciation, the amount of depreciation allowed for each year after the purchase is given by the function f(x)= 800-114.29X what type of function can you used to model the data?

Answers

Answer:

this is a linear function

Step-by-step explanation:

y = a + bx

in this case:

y = 800 - 114.29x

where:

y = accumulated depreciation

x = number of years

year     accumulated          

(x)         depreciation (y)      

0          0                      

1          114.29              

2          228.58                  

3          342.87                

4          457.16                  

5          571.45                  

6          685.74                  

7          800                

Solve for x: 8(3x-6)=6(4x+8)

Answers

Answer: there are no values of x that make the equation true .

So the answer is there is: No solution

Step-by-step explanation:

Please help helpppppppppp it’s 7to10

Answers

Answer:

whats the question? 7to10 is not enough info for me

Step-by-step explanation:

Answer:

what's the question...

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

-12

Step-by-step explanation:

Each dash is +-4

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
0.7 cm and 2 cm
O 8 cm and 9 cm

Answers

Answer:

8cm and 9cm

Step-by-step explanation:

8 + 4a I need an answer pronto this was the one part of math I was taught the least.
a=1/2

Answers

Answer:

Q.1 - 10

Q.2 - −54

Step-by-step explanation:

which of the following quadrilaterals are always parallelogram? select all that apply

Answers

Answer: square, rectangle and rhombus

Step-by-step explanation:

If a florist uses 100 roses to make 5 identical flower arrangements, how many roses would the florist use to create 4 identical arrangements

Answers

Answer:

80 roses

Step-by-step explanation:

Divide 100 by 5 to find the unit rate, which is 20 roses for every flower arrangement. Multiply 20 by 4 to find how many roses the florist would use for 4 arrangements.

ANSWER PLEASE FOR ME

Answers

They made a mistake in step 2 because it should had been (x+6) = 0, and (x-2) =0

In a certain​ chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 286 of copper. How many grams of zinc does it​ contain?

Answers

Answer: It contains 88 g of zinc.

Step-by-step explanation:

Given: The ratio of zinc to copper is 4 to 13.

Ratio can be written as [tex]\dfrac4{13}[/tex]

A jar of the chemical contains 286 g of copper.

Let the quantity of zinc be x.

By using the direct proportion rule:[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{x}{286}=\dfrac{4}{13}\\\\ x=\dfrac{286\times4}{13}\\\\\Rightarrow\ x=88[/tex]

Hence,  It contains 88 g of zinc.

what is the answer?​

Answers

A=43 degrees.
a triangle equals 180 degrees, 2 angles are given 47 degrees and the 90 degree angle that makes a right square. 90+47=137. 180-37=43.

Which values represent solutions to the equation?
Tan(3Pi/4-2x)=-1, where x = [0,pi]

Answers

0 is the a answer definately

The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan (3π/4 - 2x) = - 1

We know that the value of tan 3π / 3 is negative one. Then the equation will be

tan (3π/4 - 2x) = tan 3π/4

Apply inverse of tangent on both sides, then the equation will be

(3π/4 - 2x) = 3π/4, -π / 4

         - 2x = 0, -π

           2x = 0, π

             x = 0, π/2

Then the value of the variable x will be {0, pi/2, pi}.

Then the correct option is B.

The question was incomplete, but the complete question is given below.

Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]

A) {0, pi}

B) {0, pi/2, pi}

C) {0, pi, 2pi}

D) {0, pi/2, pi ⋅ 3pi/2}

More about the trigonometry link is given below.

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Triangle has side lengths 2, 3, and 4.
Triangle has side lengths 4, 5, and 6.
Is Triangle similar to Triangle?

Answers

Answer:

I think no

Step-by-step explanation:

I would say no because they would all have to be the same. 2/4= 1/2 so all the side lengths would have to divide into one half, and they don't

Colton bounces a ball 3.268 feet infront of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by

Answers

here is the complete and correct question. Colton bounces a ball 3.268 feet in front of his feet. The path of

the ball from the time it hits the ground until it lands on the floor is represented by

f(x) =-4(x - 5)2 + 12

Assuming that Colton's feet are located at the origin, (0, 0), what is the maximum height of the ball (in feet)?

Answer:

12ft

step by step explanation:

This equation has been written in vertex form, and it has its vertex at (5, 12). Because the scale factor is not positive, it has a negative value, the graph for the question is going to open downward, such that the vertex,

that is the maximum height is 12 ft.

we have The equation of a parabola with vertex (h, k) to be

f(x) = a(x -h)² + k

when put in Comparison to your question function, we get that

a=-4

h=5

k=12

so the vertex (h, k) = (5, 12).

30 POINTS What is the answer????

Answers

Answer:

Step-by-step explanation:

the third i think

Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (–x, –y)?

Answers

C

Image for proof, dude above got it first.

the first answer gets brainliest whether it's right or wrong :)

Answers

Answer:

1 :)

Step-by-step explanation:

8 x 7=56

7 x 1=7

Gabriel is deciding between two different movie streaming sites to subscribe to. Plan A costs $8 per month plus $2.50 per movie watched. Plan B costs $24 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Gabriel watches xx per month, and let BB represent the monthly cost of Plan B if Gabriel watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if Gabriel plans on watching 6 movies each month

Answers

Answer:

A= 2.50x+82.50x+8

B= 0.50x+240.50x+24

Step-by-step explanation:

Plan A is $4 cheaper than Plan B when watching 6 movies.

In the ordered pair (2, 3), 3 is the

Answers

3=y and 2=x



Pretty sure that’s right

Write an equation in the form that makes the most sense for the information given. Since the beginning of fall, the little tree in front of Mrs. Wenger's house loses 12 more leaves everyday. After 5 days, it had only 208 leaves remaining.

Answers

Answer:

0 = 208 - 12x

Step-by-step explanation:

Since after 5 days the tree only had 208 leaves remaining, assuming that the rate of decay is constant, we can use the following equation to calculate the total number of days (starting at the 5-day mark as 0) until the tree loses all of its leaves. In this equation, the total number of days is represented by the variable x.

0 = 208 - 12x

Now that we have the equation we can solve it...

0 = 208 - 12x ... subtract 208 on both sides

-208 =  -12x   ... divide both sides by -12

17.33 = x

Finally, we can see that after 18 days (not 17.33 because we are counting full days) the tree will have lost all of its leaves.

Find the value of each variable

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{c^2 + c^2 }[/tex] = 9√2

c√2 = 9√2 ⇒ c = 9

b = 2c ⇒ b = 18

d = [tex]\sqrt{18^2 - 9^2 }[/tex] = [tex]\sqrt{(18 - 9)(18+9)}[/tex] = √243 = 9√3

a = c = 9

b = 18

d = 9√3

A 5-foot piece of aluminium wire costs $21.00. What is the price per inch?

Answers

The answer would be .35 cent.

Answer:

The price per inch is $0.35

Step-by-step explanation:

First you have to convert 5 feet into inches.

5·12= 60.

Then, divide the 21 by 60.

21/60 = 0.35

In conclusion, it costs $0.35 per inch.

Estimate to the nearest integer.
21
O 3
O 4
O 5

Answers

Answer:

5

Step-by-step explanation:

So the square root of 21 is 4.582...

If you round 4.582.. it is 5

Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.

Hope this helps ya!!

Which descriptions match the given transformations?

Drag and drop the answer into the boxes.

Answers

Answer:

f(z) is translated 3.5 units left.

Is a quadrilateral a square?

Answers

Answer:

No but a square is a quadrilateral

Step-by-step explanation:

hope this helps :)

Answer:

If I were to be honest no Edit: yes it is

Step-by-step explanation:

No because a square has straight parrallel corners. But a quadrilateral has slanted parallel corners.

Hope that helped. But maybe wait for sumone else to answer too. : )

Edit: nvm my bad I was wrong

Solve |x| < 12
I’m so lost with this stuff.

Answers

Answer: (-12,12)

Step-by-step explanation: hope it helps!

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