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lana [24]
2 years ago
11

The graph of fx) = 7^X is stretched vertically by a factor of five.

Mathematics
1 answer:
Strike441 [17]2 years ago
4 0

Answer:

  • g(x) = 5*7ˣ

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = 7ˣ

<u>The vertical stretch is the function with:</u>

  • g(x) = a*f(x), where a is the stretch factor

<u>With a = 5 the function becomes:</u>

  • g(x) = 5 f(x) = 5*7ˣ
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A car used 1/ 64 of a gallon of gas to drive 1 4of a mile. At this rate, how many miles can the car travel using 1 gallon of gas
Dovator [93]

Answer: 16 miles

Step-by-step explanation:

The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:

1/64 gallons            :              1/4 miles

1 gallon                   :                  x miles

Cross multiply:

1/64x = 1/4

x = 1/4 ÷ 1/64

= 1/4 * 64/1

= 16 miles

On one gallon of gas, the car can travel 16 miles.

5 0
3 years ago
Graph the solution set of this inequality: 5x − 4y &gt; 20.
Yanka [14]

Answer:

Step-by-step explanation:

Solve the inequality 5x − 4y > 20 for y, as follows:  Subtract 5x from both sides, obtaining:

-4y > 20 - 5x;

Then divide all terms by -4:

y    < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.

Temporarily replace the < symbol with =     obtaining    y = -5 +(5/4)x.  Now choose at least three x values and find the corresponding y values.  For example:

 x      y = -5 +(5/4)x  

 0          -5

 4            0

 -8         -15

Now plot these three points (0, -5), (4, 0) and (-8, -15).  Draw a dashed line through them.  Because of the < symbol in y    < -5 +(5/4)x, shade the area underneath the dashed line.

3 0
3 years ago
Write in word form 10x10
Arada [10]

Answer:

ten times time

Step-by-step explanation:

ten time ten or ten multiple by ten

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6 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to line AB when point A is (3,-4) point B is (-5,1).
Veronika [31]
Slope = (1 + 4) / (-5 -3) = 5/-8 = -5/8

answer
-5/8
5 0
3 years ago
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2(m∠Y) − 60°. Find m∠Y.
hodyreva [135]

Answer:

m∠Y=50°

Step-by-step explanation:

So, we know that ∠S+∠Y=90 and that m∠S=2(m∠Y)-60.

If you plug those things into the equation, you get (2[m∠Y]-60)+m∠Y=90.

Then you multiply 2 and m∠Y: 2m∠Y-60+m∠Y=90.

Combine like terms: 3m∠Y-60=90.

Then you add 60 to both sides: 3m∠Y=150

Divide 3 on both sides: 3∠Y=50

7 0
3 years ago
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