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2 years ago

Help find the missing number for x

Mathematics

1 answer:

elena55 [62]2 years ago

3 0

Answer:

Step-by-step explanation:

x² = 40²+9²

= 1600+81

= 1681

x= √1681 = 41

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Determine if the table shows a linear or an exponential function

____ [38]

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0

2 years ago

Read 2 more answers

Please Help!! Emergency!! I will make you brainiest and give you 15 points!!!!!

bonufazy [111]

Answer:

see explanation

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x ), thus

A(2, 2 ) → A'(- 2, 2 )

B(2, 4 ) → B'(- 4, 2 )

C(4, 6 ) → C'(- 6, 4 )

D(6, 4 ) → D'(- 4, 6 )

E(6, 2 ) → E'(- 2, 6 )

6 0

2 years ago

At the honda dealership,45% of all cars sold include a sunroof. If this sold 247 cars last week, about how many would you expect

sertanlavr [38]

It is 45% of 247 move the the decimal on the 45% two places to the right, then you should get .45. Of means multiply so .45*247 should get you the answer of 111.15 that's how you find the percent of this number. If you round the answer you would get 111 so about 111cars had a sunroof

7 0

3 years ago

Please help!!! Imagine is attached

Paul [167]

Answer:

They're both parabolas.

One is a parabola opening up (blue), the other one is opening down.

Step-by-step explanation:

In dutch, we call them what can be translated as mountain-parabolas and valley-parabolas.

I also saw the terms "concave up" and "concave down".

8 0

3 years ago

Use 1-2 complete sentences to explain why the following statement is false:

Liono4ka [1.6K]

Answer:

See the diagram for understanding

Step-by-step explanation:

Suppose the woman at point A and moves towards east . But the point A is at the south and she is moving upwards towards east according to the compass. That is why this statement is incorrect .

In the compass it would be east but she has to move north to reach east. There's a difference between the actual position the direction of movement of the person to reach that position.

This is better explained by the following diagram.

Now we can see she will move along line B , C and D to reach east which are actually to the north of her position. So the given statement is false.

8 0

3 years ago