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xxTIMURxx [149]
3 years ago
10

Solve for x: 3|x - 3| + 2 = 14

Mathematics
2 answers:
astra-53 [7]3 years ago
3 0
D) is the correct one
dexar [7]3 years ago
3 0
I hope this helps you

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What is the function equation for the input/output table?
klio [65]

Answer:

3

Step-by-step explanation

Your problem statement tells you  

f(x) passes through point (3, negative 1)

g(x) passes through point (3, negative 1)

This tells you the input value that produces the same output value for the two functions is 3, and that output value is -1.

8 0
3 years ago
The length of a rectangle is 5 more than the width. Find the length and width of a rectangle if the area of the rectangle is 36
harkovskaia [24]

Answer:

width = 4 in

length = 9 in

Step-by-step explanation:

To solve this problem, write an expression for the length and use the area of a rectangle formula.

The formula for area of a triangle is A = lw

"A" is the area.

"l" is the length.

"w" is the width.

"The length of a rectangle is 5 more than the width". It is represented in an expression:

l = w + 5     The width plus 5 is the length.

We also know the area is 36 in². Using information we know, replace variables in the formula for area of a rectangle.

Substitute l = w + 5 and A = 36

A = lw

36 = (w + 5)w     Expand by multiplying w by the terms in the brackets.

36 = w² + 5w      Since the equation is quadratic, make it equate to 0.

36 - 36 = w² + 5w - 36   Subtract 36 from both sides

0 = w² + 5w - 36      Factor this. Use group factoring, which is when you replace the middle term (5w) with two terms that add to make 5w, and multiply to get the last term (-36).

0 = w² + 9w - 4w - 36      9w times -4w is -36. They also add to get 5w.

0 = (w² + 9w) + (-4w - 36)  Group the factors

0 = w(w + 9) + -4(w + 9)   Take out the common factor in each group.

0 = w(w + 9) + -4(w + 9)   Take out the new common factor binomial w+9

0 = (w + 9) (w - 4)    Fully factored equation.

w + 9 = 0       w - 4 = 0    Set each binomial to equal 0.

     w = -9            w = 4   Chose what makes sense to be the width.

The width cannot be a negative number, so the width is 4.

Since we know the width, we can find the length because the length is 5 more than the width.

l = w + 5

l = 4 + 5

l = 9      Length of the rectangle

Don't forget to include the units, inches.

Therefore the length is 9 inches and the width is 4 inches.

8 0
3 years ago
Which is the equation of a circle with its center at (-4,2) and a radius of 4?
Snowcat [4.5K]

Answer:

(x +4)^2 + (y-2)^2 = 16

Step-by-step explanation:

We can write the equation for a circle with the formula

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

We know the center is at (-4,2) and the radius is 4

(x- -4)^2 + (y-2)^2 = 4^2

(x +4)^2 + (y-2)^2 = 16

4 0
3 years ago
1-07 What is the length of the marked portion of each line segment? Copy the
VikaD [51]

Answer:

A. 25 B. 45 C. 30

Step-by-step explanation:

A.

75 ÷ 3 = 25

25 × 1 = 25

B.

75 ÷ 5 = 15

15 × 3 = 45

C.

50 ÷ 5 = 10

10 × 3 = 30

5 0
2 years ago
PLEASE HELP ME RN<br> NO LINKS !!!
salantis [7]

Answer:

blank #1 is $588.00

blank #2 is approximately 870 bananas

4 0
2 years ago
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