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3 years ago

Graph a line that contains the point (-5,-3) and has a slope of -2

Mathematics

1 answer:

nikitadnepr [17]3 years ago

6 0

Given:

The line contains the point (-5,-3) and has a slope of -2.

To find:

The graph of the line.

Solution:

The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope.

$y-(-3)=-2(x-(-5))$

$y+3=-2(x+5)$

$y+3=-2x-10$

Subtracting 3 from both sides, we get

$y=-2x-10-3$

$y=-2x-13$

So, the equation of line is $y=-2x-13$ .

Putting x=0, we get

$y=-2(0)-13$

$y=0-13$

$y=-13$

It means, the line also passes through (0,-13).

Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.

Therefore, the graph of given line is shown below.

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Jimmy borrowed $450 to start a lawn-mowing business. He charges $35 per lawn and it costs him $8 in operating costs per lawn.

Akimi4 [234]

Answer: $450

Step-by-step explanation:

Given that:

Amount borrowed = $450

Amount charged per lawn = $35

Operating cost per lawn = $8

Jimmy's cost (C(x)) :

Amount borrowed + operating cost

If x lawns are mowed :

$450 + $8 per lawn

$450 + $8x

C(x) = 450 + 8x

Intercept (value of y when x = 0

Value of C(x) ; when x = 0

C(x) = 450 + 8(0)

C(x) = 450 + 0

C(x) = 450

3 0

3 years ago

ANSWER ASAP I'M GIVING 30 POINTS! WILL ALSO GIVE BRAINLIEST IF CORRECT!

laiz [17]

Answer:

154

Step-by-step explanation:

5 0

3 years ago

Find the measures of

Hatshy [7]

X= 26 y=26

As 130+88=308
360-308=52
52/2=26
The two sides are equal so they would be both 26

5 0

3 years ago

An art teacher had 2/3 gallon of paint to pour into containers .If he poured 1/8 gallon of paint into each container until he ra

frutty [35]

An art teacher had 2/3 gallon of paint to pour into containers .If he poured 1/8 gallon of paint into each container until he ran out of paint how many containers can he fill.

5/8 is less than 2/3, and 6/8 (3/4) is more than 2/3. So, it would take 5 cans at 1/8 gal per can. Therefore, 6 cans.

4 0

4 years ago

Suppose a national survey conducted among a simple random sample of 1475 adults shows that 54% of Americans think the Civil War

Lorico [155]

Answer:

(1) $H_0$ : p = 0.5, $H_A$ : p > 0.5

(2) Test statistic = 3.08

(3) P-value = 0.00104

Step-by-step explanation:

We are given that a simple random sample of 1475 adults shows that 54% of Americans think the Civil War is still relevant to American politics and political life.

We have to test the hypothesis to determine if there is a strong evidence that the majority of the Americans think the Civil War is still relevant.

(1) Let Null Hypothesis, $H_0$ : p = 0.50 {means that 50% of the Americans think that the Civil War is still relevant}

Alternate Hypothesis, $H_a$ : p > 0.50 {means that majority of the Americans think that the Civil War is still relevant,i.e; more than 50%}

The test statistics that will be used here is One-sample proportion test;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = % of Americans who think that the Civil War is still relevant in a sample of 1475 adults = 54%

p = population proportion

n = sample of american adults = 1475

(2) So, <u>test statistics</u> = $\frac{0.54-0.50}{\sqrt{\frac{0.54(1-0.54)}{1475} } }$

= 3.08

The value of test statistic for this hypothesis test is 3.08.

(3) P-value is given by the following situation;

P(Z > 3.08) = 1 - P(Z $\leq$ 3.08) {using z table}

= 1 - 0.99896 = 0.00104

So, the p-value for this hypothesis test is 0.00104.

8 0

3 years ago