Question 3
Consider the expression 36+30 .



Which answer correctly shows this expression rewritten using the distributive property?

Answer:

u > 10  or u < -10

Step-by-step explanation:

|u| +11 > 21

Subtract 11 from each side

|u| +11-11 > 21-11

|u| > 10

There are two solutions, one positive and one negative.  Remember to flip the inequality for the negative

u > 10  or u < -10

Answer:

[tex]u<-10\quad \mathrm{or}\quad \:u>10[/tex]

Step-by-step explanation:

[tex]\left|u\right|+11>21\\\\\mathrm{Subtract\:}11\mathrm{\:from\:both\:sides}\\\\\left|u\right|+11-11>21-11\\\\Simplify\\\\\left|u\right|>10\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad \mathrm{or}\quad \:u\:>\:a\\\\u<-10\quad \mathrm{or}\quad \:u>10[/tex]

Answer:

x + 3y - 9 = 0

Step-by-step explanation:

(d): x + 3y = 15 -> (d): x + 3y - 15 =0

if (d')║(d)

-> (d'): x + 3y + c = 0

but (d') passes through the point (6;1) => c = -x-3y = -6-3.1 = -9

=> (d'): x + 3y - 9 =0

The equation of the line that passes through the point (6,1) and is parallel to the line (x + 3y = 15) is 3y +x = 9 and this can be determined by using the one-point slope form of the line.

Given :

The line passes through the point (6,1) and is parallel to the line (x + 3y = 15).

The following steps can be used in order to determine the equation of the line that passes through the point (6,1) and is parallel to the line (x + 3y = 15):

Step 1 - Remember that when two lines are parallel then their slopes are equal.

Step 2 - So, the slope of the line that passes through the point (6,1) is -1/3.

Step 3 - So, using the one-point slope form of a line the equation of a line that passes through the point (6,1) and is parallel to the line (x + 3y = 15) can be determined.

Step 4 - The one-point slope form is given below:

[tex](y-y_1)=m(x-x_1)[/tex]

Step 5 - Substitute the values of the known terms in the above equation.

[tex](y-1)=-\dfrac{1}{3}(x-6)[/tex]

3y - 3 = -x + 6

3y +x = 9

For more information, refer to the link given below:

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Answer:

3 and 4

Step-by-step explanation:

Answer:

3 and 4.

Step-by-step explanation:

3^2 = 9

4^2 = 16

So the square root of 12 will lie between 3 and 4 on the number line.

Answer:

-18/35

Step-by-step explanation:

(-3/5)/(7/6)=

(-3/5)x(6/7)=

(-3x6)/(5x7)=

-18/35

Answer:

x = 45

Step-by-step explanation:

[tex]540 + 6x = 810[/tex]

Step 1 : Collect like terms

[tex]6x = 810 - 540[/tex]

Step 2 : Simplify

[tex]6x = 270[/tex]

Divide both sides of the equation by 6

[tex] \frac{6x}{6} = \frac{270}{6} [/tex]

Step 4 : Simplify

[tex]x = 45[/tex]

I hope it helps :)

Answer:

Well...X=45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:540+6*x-(810)=0

Pull out like factors :-270 + 6x  =   6 • (x - 45)

Solve  :    x-45 = 0::

Add  45  to both sides of the equation:  x = 45

Answer: m=-6

Step-by-step explanation:

Add 7 to the other side

Answer:

= 6.75 × 10^8

Step-by-step explanation:

Answer:

6 thirds

Step-by-step explanation:

Answer:

z = 2

Explanation:

5 /2  z − 8 = − 3

5z − 16 = − 6 /

5z= 10

z = 2

Step-by-step explanation:

Answer:

0.0246...

Step-by-step explanation:

Answer:40.7021276596 or 0.02456874019

Step-by-step explanation:

Answers:

Everything is rational but choice D

=======================================================

Explanation:

A rational number is anything in the form p/q where p and q are integers. The value of q cannot be zero.

So that's why -4/11 is rational. Here we have p = -4 and q = 11.

Any terminating decimal is rational. For choice A, we have 3.14 = 314/100

Choice C is also rational because [tex]\sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}[/tex]

Choice E is rational since 6 = 6/1.

In short, choices A, B, C, and E are rational.

------------------

The only irrational answer is d) 2pi

pi is irrational because we cannot write it as a fraction of two integers. Any number in the form n*pi, where n is any integer, is also irrational.

Answer:

0.1x-16

Step-by-step explanation:

just add all of the xs up and then the numbers up

Answer:

$4837.5

Step-by-step explanation:

Given that,

790 tickets are sold when $2,547.75 is spent on advertising.

We need to find the money to be spent on advertisements to get a sellout crowd of 1500.

It is also mentioned that the number of people who attend a concert varies directly with the amount of money spent on advertising. Let money be x. So,

[tex]\dfrac{790}{2547.75}=\dfrac{1500}{x}\\\\x=\dfrac{2547.75\times 1500}{790}\\\\x=\$4837.5[/tex]

So, $4837.5 is spent on advertisements to get a sellout crowd of 1500

Answer:

x=-5

Step-by-step explanation:

-2x=3+7

or,-2x=10

or,x=-10/2

x=-5

Answer:

x = -5

Step-by-step explanation:

I hope this helps!

Answer:

10%

Step-by-step explanation:

[tex]5 \div 50 = 0.1[/tex]

[tex]0.1 \times 100 = 10[/tex]%

Answer:

130°

Step-by-step explanation:

The interior and exterior angles should be supplementary, meaning they add up to 180°.

180-50=130

Hope this helps :-)

wait nvm

one candy bar costs 0.60 cents

multiply this number by 2 and get $1.20

Answer:

False

Step-by-step explanation:

All the angles in a triangle must add up to 180 degrees. Let's test this with the values given:

[tex]111+28+31[/tex]

[tex]= 170[/tex]

These angles only add up to 170°. Therefore, the answer is false, and these measures do not form a triangle.

Answer:

Step-by-step explanation:

Answer:C->-4<=X<=6

Second answer:A -4<=y<=4

Third answer: yes

According to the given graph, the domain of the function is -4 to 6, So Option C is correct

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

The graph,

Which has values of x in the interval of -4 to 6

And the value of y in the interval of -4 to 4

So, for any function all the values of x for which function is defined

that interval is a domain of a function

And, for input of values of x all the output values of y are known as range of a function

Domain:  -4 ≤ X ≤ 6

Range:   -4 ≤ Y ≤  4

Hence, the domain is -4 ≤ X ≤ 6

To know more about Functions check:

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Answer:

this is true, just count by five four times

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

peepeepoopoo check

Answer:

The Slope Is -3

Step-by-step explanation:

Hope This Helps

Plz Mark Brainliest!

Answer:

hope i helped.

Answer:

Place value allows us to take complicated addition subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value or tens hundreds, and thousands.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Place value allows us to take complicated addition, subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value, or tens, hundreds, and thousands.

Hope this helps!!!

Answer:

yes

Step-by-step explanation: