Is the function y = -x5 - 5 linear or nonlinear?

A function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4. what is the output for th

Harman [31]

Answer:

when the input = 4

Then the output = 6

Step-by-step explanation:

It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.

Let 'x' be the number

Decreasing twice the number 'x' by 4 = 2x-4

Now,

Given the input x = 5

As the output will decrease twice the input (x=5) by 4

Thus, the output = 2(5)-4 = 10-4 = 6

Therefore,

when the input = 4

Then the output = 6

3 0

2 years ago

The function LaTeX: f\left(x\right)=2\cdot5^xf ( x ) = 2 ⋅ 5 x can be used to represent an exponential growth curve. Which of th

masha68 [24]

Answer:

(2,20)

Step-by-step explanation:

The given function is

$f(x) = 2 \cdot \: {5}^{x}$

To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;

For the first point we substitute x=3 and f(x)=250

$250= 2 \cdot \: {5}^{3} \: \\ 250 = 2 \times 125 \\ 250 = 250$

This is true.

For the second point (2,20), we put x=2 and y=20 to get:

$20= 2 \cdot \: {5}^{2} \\ 20 = 2 \times 25 \\ 20 = 50$

This is false, hence (2,20) does not lie on this curve.

For (1,10), we have:

$10= 2 \cdot \: {5}^{1} \\ 10 = 10$

This is also true

Finally for (2,50), we have;

$50= 2 \cdot \: {5}^{2} \\ 50 = 2 \times 25 \\ 50 = 50$

This is also true.

4 0

3 years ago

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Tasya [4]

Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

$x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}$

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

$2=\frac{1+x_{2} }{2}\\ 4=1+x_{2}\\ 4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7$

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

$5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0$

So (12,0) it is the other endpoint.

Take a look at the graph below:

8 0

3 years ago

What is the solution of the system? y=9x-2 y=7x+3

Sonja [21]

<span>What is the solution of the system? y=9x-2 y=7x+3

b.(5/2,41/2)

The table below shows the height (in inches) and weight (in pounds)of eight basketball players.
Height=67, 69, 70, 72, 74, 78, 79 Weight=183, 201, 206, 240, 253, 255 what is the correlation of the set of data? Round your answer to the nearest thousandth.

d.0.981

3.The table below shows the average height of a species of tree (in feet) after a certain number of years.
Years=1, 2, 3, 4, 5, 6, 7, 8 Height=2.1, 3.2, 6.8, 7.3, 11.2, 12.6, 13.4, 15.9 about how tall would you expect one of these trees to be after 22 years?

c.44.25ft

4.You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.984. How confident can you be that your predicted value will be reasonably close to the actual value?

c.I can be very confident; it will be close, but it probably won't be exact.

</span>

5 0

3 years ago

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

alexgriva [62]

Answer:

96.512 °F < x < 591.242 °F

Step-by-step explanation:

We are given;

Melting point = 35.84 °C

Boiling point = 310.69 °C

Now, we are given that formula to convert °C to °F is;

°C = (5/9)°F

Thus if the temperature in Fahrenheit is x, then;

Melting point is; 35.84 °C = (5/9)x°F - "32"

x = ((9 × 35.84)/5) + 32

x = 96.512 °F

Similarly, for Boiling point;

Boiling point is;

310.69 °C = (5/9)x°F - "32"

x = ((9 × 310.69)/5) + 32

x = 591.242 °F

Now, we are told that matter is in its liquid form when it is between melting and boiling point.

Thus, range of x in inequality form is;

96.512 °F < x < 591.242 °F

6 0

3 years ago