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igor_vitrenko [27]
3 years ago
15

The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct?

Mathematics
2 answers:
MAVERICK [17]3 years ago
5 0

The correct answer is

C) The initial value is 32, and the rate of change is 1.

I just took the quiz on edge

sukhopar [10]3 years ago
4 0

Answer:

B) The initial value is 22, and the rate of change is 15.

Step-by-step explanation:

The first point is located at (22, 54).  This means the initial value is 22.

The rate of change is found using the formula

m=\frac{y_2-y_1}{x_2-x_1}

Using the first two points, we have

m=\frac{69-54}{37-22}\\\\=\frac{15}{15}=1

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X+y=5<br> x×y=6<br> Solve simultaneously with steps
igor_vitrenko [27]

Answer:

(3, 2), (2, 3)

Step-by-step explanation:

x + y = 5

xy = 6

Solve the first equation for x.

x = 5 - y

Substitute 5 - y for x in the second equation.

xy = 6

(5 - y)y = 6

5y - y² = 6

y² - 5y + 6 = 0

Factor.

(y - 2)(y - 3) = 0

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y = 2  or y = 3

Now substitute 2 for y in the first equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

One solution is x = 3; y = 2, or (3, 2).

Now substitute 3 for y in the first equation and solve for x.

x + y = 5

x + 3 = 5

x = 2

Another solution is x = 2; y = 3, or (3, 2).

Answer: (3, 2), (2, 3)

7 0
2 years ago
What's the area of this shape?
Aliun [14]

Answer:

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Step-by-step explanation:

7 0
3 years ago
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base
kirill115 [55]

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

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For the original chamber;

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Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

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In the new design, the chamber is scaled by a factor of 1.5.

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r_new = 2.85 × 1.5 = 4.275 inches

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V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

6 0
2 years ago
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