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3 years ago

Write the equation of a line in Slope Intercept Form that passes through (−2,3) and has a slope m=4.

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

The slope is already given in the question so we can find the y-intercept.

Slope-intercept form: y = mx + b

3 = 4(-2) + b

3 = -8 + b

3 + 8 = -8 + b + 8

11 = b

Now, we can write the equation.

y = 4x + 11

Best of Luck!

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Allan keeps tropical fish his aquarium is 4 feet long ,1 foot wideand 2 feet tall each fish needs atleast 0.5ft 3 of water what

Alik [6]

Answer: There are 16 fish that he can keep in the aquarium.

Step-by-step explanation:

Since we have given that

Length of aquarium = 4 feet

Width of aquarium = 1 foot

So, it forms a shape of cuboid.

As we know the formula for "Volume of Cuboid":

$Volume=Length\times Breadth\times Height\\\\Volume=4\times 1\times 2\\\\Volume=8\ ft^3$

According to question, Each fish needs atleast 0.5 cubic feet of water.

So, Number of fish that he can keep in the aquarium is given by

$\frac{8}{0.5}=16$

Hence, there are 16 fish that he can keep in the aquarium.

6 0

2 years ago

Use cramer's rule to determine if the system is inconsistent system or contains dependent equations. 2x + 7 = 8 6x + 3y = 24 que

Natali [406]

Answer: In the equations that you have given, we have a dependent system.

2x + y = 8 (I assumed that you meant to type y instead of 7)
6x + 3y = 24

To use Cramer's Rule, we have to take the determinant of 3 different matrices written in the problem. Taking the determinant of the coefficient matrix produces a zero.

2 1 This is the coefficient matrix.
6 3

6 - 6 = 0

Since this is 0, the rest of the work will be undefined meaning the systems are dependent (or they are the versions of the same equation).

8 0

3 years ago

Read 2 more answers

Strawberries at the farmer’s market are packaged in baskets weighing between 3 and 4 pounds. Each basket costs $2.50. Faiz spent

sammy [17]

12 to 16 pounds Im not very good at math but I hope this helps

7 0

2 years ago

Find the area of the blue sector of the circle. Round to the nearest hundredth.

Varvara68 [4.7K]

A diagram must be associated with the question above. Based on what I researched, this is what I got.

The blue sector of the circle is 120 degrees.

area of the blue sector = 1/3 of pi * 2^2
= 4.19cm2

I hope this answer helps.

8 0

3 years ago

In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i

kati45 [8]

Answer:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

4 0

2 years ago