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zhenek [66]
4 years ago
7

What is the slope and y-intercept for the graph of the equation Y= 4/5 x - 3 ?

Mathematics
1 answer:
vichka [17]4 years ago
5 0
So,

The slope-intercept form is as follows:
y = mx + b

"m" is the slope, and "b" is the y-intercept.  The y-intercept for this equation is (0,b).

Our equation is y= \frac{4}{5} x-3

That means that \frac{4}{5} is the slope, and -3 is the y-intercept.
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a map has a scale of 1.5 inches = 9 miles. On the map, two towns are 4 inches apart. What is the distance, in miles between the
Oksanka [162]

Answer:

36

Step-by-step explanation:

i multpliy 9x4=36

7 0
3 years ago
Solve the system by graphing.
nlexa [21]

When solving a system by graphing you need to see where the lines intersect.

Below is a picture of these lines graphed. The green line is y = x +4 and the blue line is y = 4x - 1

The red dot represents the intersection is about (1, 5)

The original point is: (1.667, 5.667)

Hope this helped!

4 0
4 years ago
Solve each system by substitution<br><br> 2x - 3y = -1<br> X + 4y = -6
lord [1]

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 1 → (1)

x + 4y = - 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = - 6 - 4y → (3)

Substitute x = - 6 - 4y into (1)

2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side

- 12 - 8y - 3y = - 1

- 12 - 11y = - 1 ( add 12 to both sides )

- 11y = 11 ( divide both sides by - 11 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4(- 1) = - 6 + 4 = - 2

Solution is (- 2, - 1 )

3 0
3 years ago
Natalie Albert deposited checks totaling $1,735,97 into her savings account. She withdrew $100.00 while
givi [52]
Anything withdrawn you subtract. Then, you know the total and you know what you had. Subtract total from what you had and you will see the change.

1735.97-100=1635.97

1668.71-1635.97=32.74



7 0
2 years ago
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
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