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2 years ago

Graph the direct variation y=−1.5x. Using the graph, find the value of y corresponding to the value of x equal to 1; 0; 2; 3.

1 answer:

6 0

X=1
y=-1.5(1)
y=-1.5
(1,-1.5)

x=0
y=-1.5(0)
y=0
(0,0)

x=2
y=-1.5(2)
y=-3
(2,-3)

x=3
y=-1.5(3)
y=-4.5
(3,-4.5)

all you do is substitute the x value in the equation to get y

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What is the slope of the line through (1, -1)and (5,-7) Choose 1 answer:

nalin [4]

Answer:

-3/2

Step-by-step explanation:

the formula for slope is y1-y2/x1-x2

where

y1 is the first point's y coordinate

x1 is the first point's x coordinate

y2 is the second point's y coordinate

x2 is the second point's y coordinate

so now we can plug our points in

-1-(-7)/1-5

6/-4

simplify

-3/2

3 0

3 years ago

Read 2 more answers

What two expressions represent 3/12

lukranit [14]

2/12 + 1/12
3/1 × 1/12

Hope this helped!

4 0

3 years ago

Which of these scales are equivalent to 3 cm to 4 km? select all that apply. recall that 1 inch is 2.54 cm

AlladinOne [14]

Answer:

1. 0.75 cm to 1 km

4. 0.3 mm to 40 m

Step-by-step explanation:

we have the scale

$\frac{3}{4}\frac{cm}{km}=0.75\frac{cm}{km}$

Verify each case

case 1) 0.75 cm to 1 km

$\frac{0.75}{1}\frac{cm}{km}=0.75\frac{cm}{km}$

therefore

The scale is equivalent to the given value

case 2) 1 cm to 12 km

$\frac{1}{12}\frac{cm}{km}=0.08\frac{cm}{km}$

$0.08\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

case 3) 6 mm to 2 km

Remember that

1 cm= 10 mm

1 mm=0.1 cm

we have

$\frac{6}{2}\frac{mm}{km}=\frac{0.6}{2}\frac{cm}{km}=0.30\frac{cm}{km}$

$0.30\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

case 4) 0.3 mm to 40 m

Remember that

1 cm= 10 mm -----> 1 mm=0.1 cm

1 km=1,000 m ----> 1 m=0.001 km

we have

$\frac{0.3}{40}\frac{mm}{m}=\frac{0.03}{0.04}\frac{cm}{km}=0.75\frac{cm}{km}$

$0.75\frac{cm}{km}=0.75\frac{cm}{km}$

therefore

The scale is equivalent to the given value

case 4) 1 inch to 7.62 km

Remember that

1 in= 2.54 cm

we have

$\frac{1}{7.62}\frac{in}{km}=\frac{2.54}{7.62}\frac{cm}{km}=0.33\frac{cm}{km}$

$0.33\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

6 0

3 years ago

A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

jekas [21]

Answer:

The test statistic is z = 1.865.

Step-by-step explanation:

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

H0: p = 0.11

This means that 0.11 is tested at the null hypothesis, and so:

$\mu = 0.11$

$\sigma = \sqrt{0.11*0.89} = 0.3129$

The engineer weighs 94 bags and finds that 16 of them are over-filled.

This means that:

$n = 94, X = \frac{16}{94} = 0.1702$

What is the test statistic?

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.1702 - 0.11}{\frac{0.3129}{\sqrt{94}}}$

$z = 1.865$

The test statistic is z = 1.865.

6 0

2 years ago

Solve the equation 29 - (x+8) = 6x - 7

max2010maxim [7]

First step you should do is simplify both sides of your equation:
29-(x+8)=6x-7
Distribute the Negative Sign:
29+-1(x+8)=6x-7
29+-1x+(-1)(8)=6x-7
29+-x+-8=6x-7
29+-x+-8=6x+-7
Combine Like Terms:
(-x)+(29+-8)=6x-7
-x+21=6x-7
Subtract 6x from both sides:
-x+21-6x=6x-7-6x
-7x+21=-7
Subtract 21 from both sides:
-7x+21-21=-7-21
-7x=-28
Divide both sides by -7:
-7x/-7 = -28/-7
And now your answer should be:
x=4
~~~~~
Good luck~ Sans

6 0

2 years ago