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2 years ago

What is the equation in point slope form of the line that passes through the point ( 2 , -4 ) and has a slope of 4?

Mathematics

2 answers:

lana66690 [7]2 years ago

3 0

Answer:

y+4=4(x-2)

Step-by-step explanation:

point slope form is $y-y_{1} =m(x-x_{1} )$ , where m=slope

Plug it in

y-(-4) = 4(x-2)

y+4=4(x-2)

erica [24]2 years ago

3 0

Y+4=4(x-2).

Point slope form is y-y1=m(x-x1)

We can insert the equation by putting our slope (4) as m. Our y1 (-4) counters the subtraction sign, so that side of the equation will be y+4. Our x1 is positive, so it can be easily inserted into the formula (x-2).

Basically; insert the terms into the point-slope formula :)!

Hope this helped

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A rental car company claims the mean time to rent a car on their website is 60 seconds with a standard deviation of 22 seconds.

Gelneren [198K]

Answer:

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

Step-by-step explanation:

State the null hypothesis

H0: u = 60against the claim

Ha u≠ 60 (this is a two tailed test)

Sample size n= 36

Sample mean=X`= 55

Population mean = u= 60

The significance level α = 0.05

Standard deviation= Sd = 22 seconds

Z= X`- u / Sd /√n

Z= 55- 60 / 22/√6

z= - 5/22/6

Z= -1.3635

The value of z from the table is Z∝/2= ±1.96

The critical region is less than - 1.96 and greater than 1.96.

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

4 0

3 years ago

Antony purchases his Play Station 5 for $1,099 from Best Buy near the Parks Mall. The sales tax is 8.25%. How much does he pay f

hram777 [196]

Answer: $90.67

Step-by-step explanation:

Sales taxes are paid per good purchased to the IRS and are more often than not, collected at the point of sale by the seller.

The sales tax paid on the PlayStation can be calculated by the formula:

= Price of purchase * Sales tax percentage

= 1,099 * 8.25%

= $90.67

6 0

3 years ago

The amount of money Chaz earned for walking dogs is given in the table. Can the relationship be described by a constant rate? Ex

mojhsa [17]

Answer:

Yes, the relationship can be described by a constant rate of $18.75 per dog

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x ----> the number of dogs

y ---> the amount of money earned

we have the points

$(6,112,50), (8,150), (11,206.25)$

step 1

Find the slope with the first and second point

$(6,112,50), (8,150)$

$m=(150-112.50)/(8-6)=18.75$

step 2

Find the slope with the first and third point

$(6,112,50), (11,206.25)$

$m=(206.25-112.50)/(11-6)=18.75$

Compare the slopes

The slopes are the same

That means, that the three points lies on the same line

therefore

Yes, the relationship can be described by a constant rate of $18.75 per dog

7 0

2 years ago

What is (-14-x) squared in polynomial form?

Masteriza [31]

(-x-14)^2 = x^2 +14x+14x+196
which turns into x^2+28x+196.
hope this helps
and give thanks

6 0

3 years ago

Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago