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Nonamiya [84]
4 years ago
11

The function f(x) = 4x + 30 represents the length of a rectangle. The function g(x) = x − 1 represents the width of the rectangl

e. Use (f • g)(5) to determine the area of the rectangle.
4
46
50
200
Mathematics
2 answers:
Sonja [21]4 years ago
7 0

Answer:

200

Step-by-step explanation:

area of the rectangle= length* width

the statement tell us area of the rectangle=  (f • g)(5)

(f • g)= (4x + 30)*(x − 1)

(f • g)(5)=(4*(5) + 30)*(5 − 1)

(f • g)(5)= (20+30)*(4)

(f • g)(5)=50*4

(f • g)(5)=200

Natali [406]4 years ago
4 0

Answer:

200

Step-by-step explanation:

got it right on quiz

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SVEN [57.7K]
If x + y = 6, then solve for y to get: y = 6 - x.

Now replace y with 6 - x in both equations.

(5x)/3 + 6 - x = c

2(6 - x) = c - 4x

The upper equation is solved for c.
Now we solve the lower equation for c.

c = 2(6 - x) + 4x

c = 12 - 2x + 4x

c = 2x + 12

Since we have two equations solved for c, we substitute to get

(5x)/3 + 6 - x = 2x + 12

This is an equation in only x, so we can solve for x.

(5x)/3 - 3x = 6

5x - 9x = 18

-4x = 18

x = -9/2

Now we solve for y.

x + y = 6

-9/2 + y = 6

y = 9/2 + 12/2

y = 21/2

Now we solve for c.

c = (5x)/3 + y

c = (5 * (-9/2))/3 + 21/2

c = -45/6 + 21/2

c = -15/2 + 21/2

c = 6/2

c = 3

Answer: c = 3
7 0
3 years ago
What is the solution to the equation 13.7y – 10.6 = 6.2y + 19.4?  
Lyrx [107]

Answer:

4

Step-by-step explanation:

Simplifying

13.7y + -10.6 = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 19.4 + 6.2y

Solving

-10.6 + 13.7y = 19.4 + 6.2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6.2y' to each side of the equation.

-10.6 + 13.7y + -6.2y = 19.4 + 6.2y + -6.2y

Combine like terms: 13.7y + -6.2y = 7.5y

-10.6 + 7.5y = 19.4 + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0

-10.6 + 7.5y = 19.4 + 0.0

-10.6 + 7.5y = 19.4

Add '10.6' to each side of the equation.

-10.6 + 10.6 + 7.5y = 19.4 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0

0.0 + 7.5y = 19.4 + 10.6

7.5y = 19.4 + 10.6

Combine like terms: 19.4 + 10.6 = 30

7.5y = 30

Divide each side by '7.5'.

y = 4

Simplifying

y = 4

4 0
3 years ago
Read 2 more answers
Find the slope between the points (1,18) and(4,12)
Sonbull [250]

Answer:

slope = -2

Step-by-step explanation:

rise/run: y2-y1/x2-x1 .

=12-18/4-1 = -6/3 = -2

6 0
3 years ago
Can someone help me fast plz
Murljashka [212]

Answer:

That looks confusing

Step-by-step explanation:


7 0
3 years ago
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Write the equation for the line that passes through the points (4, 5) and<br> (6,9). *
N76 [4]

Answer:

y = 2x + 1

Step-by-step explanation:

first find slops

(9-5)/(6-4) = 4/2 = 2 = m

y = mx + b

5 = 2(2) + b

1 = b

y = 2x + 1

5 0
3 years ago
Read 2 more answers
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