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3 years ago

Simplify 4x + 8 + 2x - 7

Mathematics

2 answers:

Vikentia [17]3 years ago

8 0

Answer:

6x+1

Step-by-step explanation:

RoseWind [281]3 years ago

7 0

Answer:

6x+1

Step-by-step explanation:

Hi there!

We are given the following expression:
4x + 8 + 2x - 7

And we want to simplify

When we simplify, we want to combine like terms. This means that we want to add terms with the same variables together (like x), and then combine them

If there is no variable, then we add and combine the terms that don't have any variable together as well

Please note that we cannot combine terms with different variables (so if you had x+y, then it would stay as x+y).

In this case, we have 4x + 8 + 2x - 7

4x and 2x are like terms; they have the same variable (x). If we add them together, the result is 6x

8 and -7 are also like terms; they both don't have a variable. If we add (or rather, subtract) these terms, the result is 1.

Now we add 6x and 1 together, which would be 6x+1 (1 doesn't have a variable after it, so we can't combine it with 6x).

6x+1 is our answer.

Hope this helps!

See more on combining like terms here: brainly.com/question/16316741

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PLEASE HELP IF YOU CAN! IM DESPERATE! DUE TODAY!

sukhopar [10]

Answer:

2x+6=-8(x>=-7), 2x+3<9(x<3), 2x-4<=-8(x<=-2), -x-8>=-5(x<=-3), x+-4<=-3(x<=1)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

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

And:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

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

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

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

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

Given f(x)=7x+12 and Domain={3,6,9} find Range

frozen [14]

Answer:

the answer is the 3rd option

range = { 33, 54, 75 }

7 0

3 years ago

A kite is being flown at a 45 angle. The string of the kite is 120 feet long. How high is the kite above the point at which the

MrRissso [65]

Answer: The height of the kite above the point at which the string is held is $120\sqrt{2}$ feet.

Step-by-step explanation:

Given : A kite is being flown at $45^{\circ}$ . The string of the kite is 120 feet long.

Let AB denote the string of kite and AC be the height of the kite above the point at which the string is held.

Now, in right Δ ABC

$\sin45^{\circ}=\frac{AC}{AB}\\\Rightarrow\ \frac{1}{\sqrt{2}}=\frac{AC}{120}\\\Rightarrow\ AC=120\sqrt{2}$

hence, The height of the kite above the point at which the string is held is $120\sqrt{2}$ feet.

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4 years ago

Read 2 more answers

What is the y-intercept of the graph of this function?

ella [17]

Answer:

good question

Step-by-step explanation:

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3 years ago