Help, please :)<br> another one solve for x

#3 only timed test!!

Pani-rosa [81]

Answer:

It's the second option

Step-by-step explanation:

When inputting each of those numbers given in the question into the equation, you get the numbers in the second option.

5 0

3 years ago

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.

IRINA_888 [86]

Answer:

$3x-4y=-40$

Step-by-step explanation:

The standard form of a linear equation is $ax+by=c$ .

The given line has equation:

$y-4=\frac{3}{4}(x+8)$

This is the point-slope form of the given line.

To find the standard form, we clear the fraction

$4y-16=3(x+8)$

We expand the parenthesis now to get:

$4y-16=3x+24$

We group the variables on the LHS and the constants on the RHS.

$4y-3x=24+16$

$-3x+4y=40$

Multiply through by -1

$3x-4y=-40$

This is of the form: $ax+by=c$ .

3 0

3 years ago

PLSSS I NEED THE ANSWER

BabaBlast [244]

Answer:

1. 6.4 meters of streamers left to make pompoms

2. He will be able to make 8 pompoms

Step-by-step explanation:

1.

4 x 1.6 = 5.6 meters were used to make decorations.

Then we do 12 - 5.6 = 6.4

2.

per one pompom it takes 0.8 meters of streamers.

6.4 is the left over so we do

6.4 divided by 0.8 = 8 pompoms you can make

6 0

2 years ago

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

3 years ago

This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberr

murzikaleks [220]

Answer:

Yes.

Step-by-step explanation:

4 0

2 years ago

Help, please :) another one solve for x