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2 years ago

Analyze the graph of the function f(x) to complete the statement.

Mathematics

1 answer:

Burka [1]2 years ago

6 0

The function f(x) is less than 0 at x < -1.8

<h3>How to analyze the graph?</h3>

The missing graph is added as an attachment

The interval where f(x) < 0 are the intervals where the y value of the function is less than 0.

This in other words, represent the negative y-axis

From the attached graph, the function f(x) is less than 0 at x < -1.8.

This extends till x = infinity

Hence, the function f(x) is less than 0 at x < -1.8

Read more about function interval at:

brainly.com/question/27831985

#SPJ1

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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

$y=-2x+56$

7 0

3 years ago

Read 2 more answers

Graph the line with slope 1/4 and y intercept -2

andrey2020 [161]

Answer:

y= 1/4x -2

Step-by-step explanation:

Y=mx+b

m is the slope

b is the y intercept

8 0

3 years ago

Read 2 more answers

Solve the system by the substitution method.<br> x-2y = -2<br> y = - 3x + 8

aliina [53]

x-2y = -2

x-2(-3x+8)=-2

mutiply the bracket by -2

(-2)(-3x)=6x

(-2)(8)=-16

x+6x-16=-2

7x-16=-2

move -16 to the other side

sign changes from -16 to +16

7x-16+16=-2+16

7x= -2+16

7x= 14

divide both sides by 7

7x/7=14/7

x=2

Find y by using the substitution method

y=-3x+8

y=-3(2)+8

-6+8

Answer:(2,2)

6 0

3 years ago

Alex has a piece of fabric that is 56 inches long and 3 inches wide. He cuts it into pieces that are each 7 inches long and 1 in

mezya [45]

You take 56 and divide it by 7 leaving you with 8 than you times it by 3 because the fabric is 3 inches wide leaving you with 24

the answer to your question is
D. 24

8 0

3 years ago

The square root of 8 to the 3rd power

zlopas [31]

It’s might b 24 hopefully this helps u

7 0

3 years ago