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2 years ago

Write an equation in slope intercept form for the line that has a slope of 1/4 and passes through the point (0, -2)

Mathematics

1 answer:

Harrizon [31]2 years ago

7 0

Step-by-step explanation:

the general slope intercept formula is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-2 = (1/4)×0 + b

b = -2 (as expected)

the full line equation is

y = (1/4)x - 2

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Rewrite the equation below as a function of x.

Mrrafil [7]

Answer:

the correct answer is last option d

7 0

2 years ago

What’s the volume of 8 1/2 long 2 1/2 width 3 tall rectangular prism

myrzilka [38]

A is the answer to your question

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2 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the

klio [65]

Solution :

The test is distributed normally with mean of 72.8 and the standard deviation of 7.3

Finding numerical limits for the D grade.

D grade : Scores below the top 80% and above the bottom 10%.

Let the bottom limit for D grade be $D_1$ and the top limit for D grade be $D_2$ .

First find the bottom numerical limit for a D grade is :

$$P(X$

$P(X\leq D_1)= 0.10$

$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_1-\mu}{\sigma}\right) = 0.10$

$P\left(Z \leq \frac{D_1-72.8}{7.3}\right) = 0.10$ ..........(1)

From (1)

$\frac{D_1 - 72.8}{7.3} = -1.28$

$D_1 = -1.28(7.3)+72.8$

= 63.45

≈ 64

Now the top numerical limit for D grade :

$P(X>D_2)= 0.80$

$1-P(X\leq D_2)= 0.80$

$P(X\leq D_2)= 1-0.80$

$P(X\leq D_2)= 0.20$

$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_2-\mu}{\sigma}\right) = 0.20$

$P\left(Z \leq \frac{D_2-72.8}{7.3}\right) = 0.20$ ..........(2)

From (2)

$\frac{D_2- 72.8}{7.3} = -0.84$

$D_12= -0.84(7.3)+72.8$

= 66.668

≈ 67

Therefore, the numerical limit for a D grade is 64 to 67.

7 0

3 years ago

Two school buses leave the same school at the same time, but are headed in opposite directions. One bus traveled 45 miles per ho

Art [367]

Answer:

2 hours

Step-by-step explanation:

45x + 40x = 170

85x = 170

x = 2

6 0

3 years ago

Read 2 more answers

A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, whic

Reptile [31]

Answer:

D.) The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150

Step-by-step explanation:

The given information says that the <em>total</em> amount of lunch bought should equal $150 when both options cost $5:

$5r+5t=150$

It also says that the food should feed <em>all</em> 20 employees:

$r+t=20$

This is now a system. Solve by substitution.

Solve the second equation for r. Use inverse operations to isolate the variable by subtracting t from both sides:

$r+t-t=20-t\\\\r=20-t$

Now insert this value of r into the first equation:

$5(20-t)+5t=150$

Simplify the equation. Use the distributive property:

$5(20)+5(-t)+5t=150\\\\100-5t+5t=150$

Cancel the terms:

$100\neq 150$

100 does not equal 150, so there is no solution to the system.

:Done

3 0

2 years ago