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VLD [36.1K]
3 years ago
8

There are twelve inches in one foot, creating the equation y = 12x. If a door

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

78 inches.

Step-by-step explanation:

By definition, a foot is equal to 12 inches. That is modeled by the equation you wrote, y = 12x, where x is the amount of feet.

Substitute 6.5 for x. y = 12*6.5 = 78 inches.

I hope this helps!

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Let f(x) = 3x^2 – 8x + 5 and let g(x) = 2x – 8. Find
fenix001 [56]

Answer:

B. 3x² – 10x + 13

Step-by-step explanation:

given:

f(x) = 3x² – 8x + 5

g(x) = 2x – 8

f(x) - g(x)

= (3x² – 8x + 5) - (2x – 8)

= 3x² – 8x + 5 - 2x + 8

= 3x² – 10x + 13

3 0
3 years ago
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Step-by-step explanation:

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Anya’s team won 5 out of every 7 games this season.
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Answer:

They won 15 games

Step-by-step explanation:

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3 years ago
Read 2 more answers
Given the function g(x) = 4(3)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Rudik [331]
The question is defective, or at least is trying to lead you down the primrose path.
The function is linear, so the rate of change is the same no matter what interval (section) of it you're looking at.
The "rate of change" is just the slope of the function in the section.  That's
         (change in f(x) ) / (change in 'x') between the ends of the section.
In Section A:Length of the section = (1 - 0) = 1f(1) = 5f(0) = 0change in the value of the function = (5 - 0) = 5Rate of change =            (change in the value of the function) / (size of the section) = 5/1  =  5
In Section B:Length of the section = (3 - 2) = 1 f(3) = 15f(2) = 10change in the value of the function = (15 - 10) = 5Rate of change =           (change in the value of the function) / (size of the section) = 5/1  =  5
Part A:The average rate of change of each section is 5.
Part B:The average rate of change of Section B is equal to the average rate of change of Section A.
Explanation:The average rates of change in every section are equalbecause the function is linear, its graph is a straight line,and the rate of change is just the slope of the graph.

4 0
3 years ago
Evaluate the expression (-4+4i)(1+4i)(1+4i) and write the result in the form a+bi
allsm [11]

Answer:

Step-by-step explanation:

Since 2 of the 3 binomials are identical I would start the distribution there.

(1 + 4i)(1 + 4i) = 1+8i+16i^2

I'm sure you have learned in class by now that i-squared is = to -1, so we can make that substitution:

1 + 8i + 16(-1) which simpifies to

1 + 8i - 16 which simplifies further to

-15 + 8i.  Now we need to FOIL in the last binomial:

(-15 + 8i)(-4 + 4i) = 60-60i-32i+32i^2

Combine like terms to get

60-92i+32i^2

Again make the substitution of i-squared = -1:

60 - 92i + 32(-1) which simplifies to

60 - 92i - 32 which simpifies, finally, to a solution of:

28 - 92i

8 0
3 years ago
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