All categories

2 years ago

Which is the graph 3x + 5y=-15

Mathematics

1 answer:

matrenka [14]2 years ago

8 0

It's a linear function. We need only two points to the plotting of the graph.

$3x+5y=-15\qquad\text{subtract 3x from both sides}\\\\5y=-3x-15\qquad\text{divide both sides by 5}\\\\y=-\dfrac{3}{5}x-3\\\\for\ x=0\to y=-\dfrac{3}{5}(0)-3=0-3=-3\to(0,\ -3)\\\\for\ x=-5\to y=-\dfrac{3}{5}(-5)-3=-3+3=0\to(-5,\ 0)$

You might be interested in

What is the slope of the line that passes through the points (8,8) and (20, -2)?

Sindrei [870]

Answer:

-5/6

Step-by-step explanation:

Use slope intercept form: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{-2-8}{20-8}$ = $\frac{-10}{12}$ = -5/6

3 0

3 years ago

In 2008, the average household debt service ratio for homeowners was 13.2. The household debt service ratio is the ratio of debt

ankoles [38]

Answer:

$t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436$

$df=n-1=44-1=43$

$p_v =P(t_{(43)}>1.436)=0.079$

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

Step-by-step explanation:

Information given

$\bar X=13.88$ represent the sample mean

$s=3.14$ represent the sample standard deviation

$n=44$ sample size

$\mu_o =13.2$ represent the value that we want to test

$\alpha=0.05$ represent the significance level

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis to test

We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:

Null hypothesis: $\mu \leq 13.2$

Alternative hypothesis: $\mu > 13.2$

The statistic for this case is:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculating the statistic

Replacing the info given we got:

$t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436$

P-value

The degrees of freedom are:

$df=n-1=44-1=43$

Since is a right tailed test the p value is:

$p_v =P(t_{(43)}>1.436)=0.079$

Decision

8 0

3 years ago

The price of an Item yesterday was $160. Today, the price rose to $248. Find the percent increase.

Tpy6a [65]

Answer:

jguifutrdduturdrfuy

Step-by-step explanation:

8 0

2 years ago

A mini game cube is covered in different colors and has a side length of 1.8 inches. Which of the following would represent the

svet-max [94.6K]

complete question:

A mini game cube is covered in different colors and has a side length of 1.8 inches. Which of the following would represent the amount of space covered in various colors?

A. 116.64 in2

B. 3.24 in2

C. 19.44 in2

D. 10.8 in2

Answer:

C. 19.44 in2

Step-by-step explanation:

A cube is a 3 dimensional figure bounded by 6 square faces. All the sides of a cube are equal in length. The picture below is a cube. The amount of space covered in different colors will be the surface area of the cube.

surface area = 6L²

where

L = length

L = 1.8 inches

surface area = 6 × 1.8²

surface area = 6 × 3.24

surface area = 19.44 inches²

7 0

2 years ago

2100 divided by 55 (show your work) I hate math

leonid [27]

Answer:

1155

Step-by-step explanation:

We need to determine 55% of 2100 now and the procedure explaining it as such

Step 1: In the given case Output Value is 2100.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 2100 = 100%.

Step 4: In the Same way, x = 55%.

Step 5: On dividing the pair of simple equations we got the equation as under

2100 = 100% (1).

x = 55% (2).

(2100%)/(x%) = 100/55

Step 6: Reciprocal of both the sides results in the following equation

x%/2100% = 55/100

Step 7: Simplifying the above obtained equation further will tell what is 55% of 2100

x = 1155%

Therefore, 55% of 2100 is 1155

6 0

2 years ago