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EleoNora [17]
3 years ago
5

SHOW ALL WORK: Graph each lineby plotting its intercepts or by using the y intercept and slope. {2x-y=4 {3y-3x=6

Mathematics
1 answer:
pickupchik [31]3 years ago
5 0

Answer:

x-y=-2

Step-by-step explanation:

Divide both sides if the equations by 3.

(3y-3x)÷3=6÷3

y-3x÷3=2

calculate the quotient

y-x=2

multiply both sides of the equation bub -1

-1x(-x)-1y=-1x2

any expression multiplied by -1

x-1y=-1x2

any expression multiplied by 1 remains the same.

x--y=-1x2

x-y=-2

You might be interested in
B = 54°, b=15, c=<br> c = ? (Round answers to<br> the nearest hundredth.)
zaharov [31]

Answer:

18.54

Step-by-step explanation:

sine is opposite/hypotenuse, and you have opposite (b=15), so use that

sin(54) = 15/c

c = 15/sin54

then use calculator

c = 18.54

8 0
2 years ago
Which of the following expressions is equivalent to (8x)^2/3 ?
miv72 [106K]

Answer:

<h3>4x^2/3</h3>

Step-by-step explanation:

Given the expression (8x)^2/3

This can also be expressed as;

(8x)^2/3

= (2^3x)^2/3

= (2³)^2/3 * x^2/3

= 2^2 * x^2/3

= 4x^2/3

Hence the equivalent expression is 4x^2/3

5 0
3 years ago
25.673 round off to the nearest hundredth​
schepotkina [342]

Answer:

25.67

Step-by-step explanation:

Look at the thousandth place. If it is 5,6,7,8 or 9 then add 1 to hundredth place. If it is less than 5, then write the hundredth place as it is

25.67

8 0
3 years ago
The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.
agasfer [191]

Answer:

a. f(h) = 100 + mh and g(h) = 100 + 2mh

b. The slope of g(h) is double of slope of f(h).

c. f(x) = 100 + mx.

Step-by-step explanation:

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

a. If the hourly rate is $m per hour, then the function f(h) represents the cost of renting the tractor for h hours, then  

f(h) = 100 + mh .......... (1)

If the hourly rate is doubled i.e. 2m, then the function g(h) represents the cost of renting the tractor for h hours, then

g(h) = 100 + 2mh ........... (2)

b. If we graph the function f(h) then the slope of the equation will be m and the y-intercept will be 100.

If we graph the function g(h) then the slope of the equation will be 2m and the y-intercept will be 100.

Therefore, in the case of g(h), the slope will be double the slope of f(h).

c. If the tractor is rented for x hours, then the function f(h) will be  

f(x) = 100 + mx. (Answer)

7 0
3 years ago
1. It is 3/4 h before closing time at the grocery store. It takes about 1/8 h for Jane to find 1 item on her shopping list. How
Tems11 [23]

Answer:

(a) Create a model or write an equation for the situation.

y = 8(3/4)h

(b) Find the solution. Explain what you did.

= 6 items

(c) State the solution as a full sentence. will give brainlyliesst

She can find 6 items before the store closes.

Step-by-step explanation:

(a) Create a model or write an equation for the situation.

Let y represent the number of items we want to find

1/8× y = 3/4h

= y/8 = 3/4h

y = 8(3/4)h

(b) Find the solution. Explain what you did.

It is 3/4 h before closing time at the grocery store. It takes about 1/8 h for Jane to find 1 item on her shopping list.

Step 1

We convert hour to minutes

3/4h

1 hour = 60 minutes

Hence,

3/4 × 60 = 45 minutes

1/8 hour

1 hour = 60 minutes

= 1/8 × 60

= 7.5 minutes

We are told in the question that:

It takes about 1/8 h for Jane to find 1 item on her shopping

Hence:

7.5 minutes = 1 item

45 minutes = y items

Cross Multiply

7.5 × y items = 45 minutes × 1 item

y = 45 minutes /7.5

y = 6 items

(c) State the solution as a full sentence. will give brainlyliesst

She can find 6 items before the store closes.

4 0
3 years ago
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