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3 years ago

1+4=5 2+5=12 3+6=21 8+11=?

1 answer:

3 0

The first eqaution is multiplying the first number by 5 then the next is multiplying the first number by 6 then 7 i believe the last one would be 8x8 which is 64

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Which statement best explains whether the table represents a linear or nonlinear function?

Marta_Voda [28]

Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.

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Explanation:

Note how x is decreasing by 3 each time

-2-3 = -5
-5-3 = -8
-8-3 = -11

At the same time, y is also decreasing by 3 each time

7-3 = 4
4-3 = 1
1-3 = -2

This means we have a linear function. We have,

slope = (change in y)/(change in x)

slope = (-3)/(-3)

slope = 1

Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.

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Another way to find the slope is to pick any two points from the table and use the slope formula

m = (y2 - y1)/(x2 - x1)

You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.

7 0

3 years ago

If 5 less than double a number is between -7 and 13

RideAnS [48]

Firstly, we will let this mystery number we are finding be labelled as x. Double this number can be written as 2x. 5 less than double this number is written as 2x - 5. And because this number is between -7 and 13, we have the full inequality, -7 < 2x - 5 < 13.

To solve this inequality, we want to isolate x, so we add 5 to all 3 parts of the inequality. Doing so cancels out the - 5 in the middle, so our new inequality is -2 < 2x < 18. Now we want to divide all 3 parts of the inequality by 2 to isolate x, so now our final inequality is -1 < x < 9. Thus, we can say that x is between -1 and 9.

3 0

3 years ago

If 1/2 +2/5s =s-3/4, what is the value of s?

jeyben [28]

Answer:

s= 25/12 or 2.0833333

Step-by-step explanation:

explanation in pictures

8 0

3 years ago

Read 2 more answers

What is the graph of a quadratic equation known as?

Arte-miy333 [17]

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola.

Step-by-step explanation:

4 0

4 years ago

A local improvement store sells different sized of storage sheds. The most expensive shed has a footprint that is 15 feet wide b

Mekhanik [1.2K]

Answer:

Question 1: Are the footprints of the two sheds similar?

Yes, the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

It is a reduction

Question 3: Find the scale factor from the most expensive shed to the least expensive shed

The scale factor is 3/2

Explanation:

Question 1: Are the footprints of the two sheds similar?

The footprints of the two sheds will be similar if their measures are proportional.

The ratio of the measures of the footprint of the most expensive shed is:

width/length = 15 feet / 21 feet = 5 / 7

The ratio of the measures of the footprint of the least expensive shed is:

width/length = 10 feet / 14 feet = 5 / 7

Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A reduction is a similar transformation (the image and the preimage are similar) that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the scale factor from the most expensive shed to the least expensive shed, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get:

width of the foot print of the most expensive shed / width of the foot print of the least expensive transformation

15 feet / 10 feet = 3/2.

That means that the scale factor from the most expensive shed to the least expensive shed is 3/2.

Using the lenghts, you should obtain the same scale factor:

length of the foot print of the most expensive shed / length of the foot print of the least expensive transformation

21 feet / 14 feet = 3/2. Such as expected.

6 0

3 years ago