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Mrrafil [7]
3 years ago
7

Which equation describes how the parent function y=x^3, is vertically streched by a factor of 4

Mathematics
1 answer:
Murljashka [212]3 years ago
8 0

Answer:

y=4x^{3}

Step-by-step explanation:

It is known that,

<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>

The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.

As, we have the function y=x^{3} which is stretched by a factor of 4.

Thus, the new function will be y=4x^{3}.

Hence, the equation for the vertical stretch is y=4x^{3}.

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Which graph represents an exponential function?
Anettt [7]
An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate. The only graph that fits these characteristics is the first one.
3 0
3 years ago
Determine whether each quadrilateral is a parallelogram. Justify your answer.
Lina20 [59]

Answer:

4. Parallelogram

5. Parallelogram

6. Parallelogram

Step-by-step explanation:

  • 4. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.
  • 5. This is a parallelogram because it's angles are the same to the opposite angles. Hence, this is a parallelogram.
  • 6. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.

Hoped this helped.

4 0
2 years ago
What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10
lana [24]

Answer:

<em>2,300,000pages  report.</em>

Step-by-step explanation:

Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.

We must first understand that 1 page of a document uses up approximately 2kB of the storage.

Since 2kB = 1page

4.6*10⁶KB = x page

Cross multiply

2kB * x = 4.6*10⁶KB * 1

2x =  4.6*10⁶

x =  4.6*10⁶/2

x =  2.3*10⁶

x = 2,300,000

<em>Hence the maximum number of pages that the report can have so that it can be completely stored on a USB drive that holds 4.6*10⁶KB is approximately 2,300,000pages  report.</em>

4 0
3 years ago
Which could NOT be a view of one face of a triangular prism
allochka39001 [22]

Answer:

D (or the last one) it has multiple faces upon one face do it doesn't count. it also isn't a triangle it's a pentagon.

Step-by-step explanation:

big brain time

7 0
2 years ago
Answer for number 12
aalyn [17]

Answer:

12 a. 4605 feet 12 b. 1,459,063 square feet

Step-by-step explanation:

For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).

P = 5(921)

P = 4605 feet

For the area, we will use composition...add the area of the triangle to the area of the trapezoid.

For the area of the triangle, the formula is

A=\frac{1}{2}bh.

Filling in our values gives us

A=\frac{1}{2}(1490)(541) and

A = 403,045 square feet.

Now for the trapezoid.  The formula for a trapezoid is

A=\frac{1}{2}(b_{1}+b_{2})(h)

where the b's represent the bases and the h represents the height.  Filling in our values gives us

A=\frac{1}{2}(921+1490)(876)

Work inside the parenthesis first:

A=\frac{1}{2}(2411)(876) and

A = 1,056,018

Now we add those together to get that area of the Pentagon is 1,459,063 square feet

4 0
3 years ago
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