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max2010maxim [7]
3 years ago
12

What is equivalent to (b+6)3?​

Mathematics
1 answer:
arlik [135]3 years ago
5 0

3(b+6) = 3*b + 3*6 = 3b + 18

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The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of
kap26 [50]

Answer:

The elevation of Lucas Oil Field is of 715 feet.

Step-by-step explanation:

Elevation of Sports Authority Field:

Of 5280 ft.

Compared to Lucas Oil Field:

275ft than seven times the Lucas Oil Field elevation of x.

Equation:

275 + 7x = 5280

What is the elevation of Lucas Oil Field?

Solving the above equation:

7x = 5280 - 275

7x = 5005

x = \frac{5005}{7}

x = 715

The elevation of Lucas Oil Field is of 715 feet.

8 0
3 years ago
In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

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

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

3 0
3 years ago
A line has a slope of -2/3and passes through the point (-3, 8). What is the equation of the line?
Pie

Answer:

y = -2/3 + 6

Step-by-step explanation:

Slope = -2/3

Point (- 3, 8)

b = 8 - (-2/3)(-3)

= 8 - 2

= 6

4 0
2 years ago
CAN SOMEONE HELP WITH THIS HELP ME PUT IT IN ORDER
Nataly_w [17]

Answer:

A then B then C (smallest)

Step-by-step explanation:

Bigger side bigger angle across from it

7 0
3 years ago
Tom has a piece of rope that is 105 feet long. He wants to cut the rope into 5 equal pieces. How long will each piece be?
goblinko [34]

Hey there!

\large\boxed{21 ft}

If he is going to cut it into 5 equal pieces then we need to divide 105 by 5.

105 ÷ 5 = 21

So, each piece will be 21 feet long.

Hope this helps!

6 0
3 years ago
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