7y ^3 −7x^3 +4−5+6−3x^3 +6x^3
Combine Like Terms

[tex]\text {Hey! To solve this problem you must...}[/tex]

[tex]\text {Simplify the Equation:}[/tex]

[tex]\text {Multiply (x+8) by 2.}[/tex]

[tex]\text {x becomes 2x. 8 becomes 16}[/tex]

[tex]2x+16>x+14 \text { will be your answer once you simplify it.}[/tex]

[tex]\text {The Next Step is to Subtract x:}[/tex]

[tex]\text {Q: Why Subtract x instead of adding x?}[/tex]

[tex]\text {A: We need x to cancel out. So x-x will cancel out each other.}[/tex]

[tex]\text {Note: In equations like these x-x is another way of saying 1-1.}[/tex]

[tex]2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}[/tex]

[tex]\text {The Final Step is to Subtract 16.}[/tex]

[tex]\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}[/tex] [tex]\text {That's what we are working towards.}[/tex]

[tex]x+16-16>14-16\\x>-2 \text { would be your final answer.}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

Hey there!

[tex]2(x+8)>18+x-4[/tex]

In our first step, we will need to simplify the inequality.

[tex]2x+16>x+14[/tex]

Now we have to subtract x from both sides of the inequality.

[tex]2x+16-x>x+14-x=x+16>14\\x+16>14[/tex]

In our last step, we will need to subtract 16 from both sides of the inequality.

[tex]x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}[/tex]

Hope this helps!

[tex]\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}[/tex]

Step-by-step explanation:

Let x be the number.

Then the algebraic expression will be x^2 + 11x.

The algebraic expression in x will be : x² + 11x

Given,

Variable x,

The sum of the square of a number and eleven times the number.​

Now,

Let the variable be x .

Square of variable : x²

Eleven times of the variable x : 11x

Now combine the term to get the algebraic expression,

Alegbraic expression : x² + 11x

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Answer:

length = [tex]8\frac{1}{6}[/tex] inches

Step-by-step explanation:

A rectangle is a quadrilateral which has opposite sides to be equal.

Area of a rectangle = length × width

Given that: Area = [tex]36\frac{3}{4}[/tex] square inches, width = [tex]4\frac{1}{2}[/tex] inches, length = l. Thus;

[tex]36\frac{3}{4}[/tex] = l × [tex]4\frac{1}{2}[/tex]

[tex]\frac{147}{4}[/tex]  = l × [tex]\frac{9}{2}[/tex]

divide both sides by [tex]\frac{9}{2}[/tex],

l = [tex]\frac{147}{4}[/tex]  ÷  [tex]\frac{9}{2}[/tex]

 = [tex]\frac{147}{4}[/tex]   x [tex]\frac{2}{9}[/tex]

 = [tex]\frac{49}{6}[/tex]

l  = [tex]8\frac{1}{6}[/tex]

Therefore, the length of the rectangle is [tex]8\frac{1}{6}[/tex] inches.

Answer:

Step-by-step explanation:

32(4x - 1) - 3x = 54 - (x+2) : Do 32 times 4 and -1 as well as -1 times x and 2

128x - 32 - 3x = 54 - x - 2 : Combine like terms

125x - 32 = 52 - x : Add x to both sides

126x - 32 = 52 : Add 32 to both sides

126x = 84 : Divide both sides by 126

x = 0.666666667 : Round to the tenth

x = 0.67 : Final answer

Answer:

the mid point is ( 3, -1 )

Step-by-step explanation:

the x axis it's 3 and for the y axis is -1

Answer: 2.2 miles.

Step-by-step explanation:

I guess that we want to find the distance between Lori's and Andrea's houses.

First, we have the locations:

L = (-3, 7)

A = (-3. -4)

To find the distance (in units) between two coordinate points (a1, a2) and (b1 b2) we can use the formula:

Distance = I (a1, a2) - (b1, b2)I = √( (a1 - b1)^2 + (a2 - b2)^2)

Then in this case we have that:

Distance = √( ( -3 -(-3))^2 + (7 - (-4))^2) = √( 0 + 11^2) = 11

The distance between their houses is 11 units.

And we know that each unit represents 0.2 miles, then 11 units represent 11 times that amount, the distance in miles will be:

D = 11*0.2 miles = 2.2 miles.

Answer:

Step-by-step explanation:

what are we supposed to check.......and by the way you have written the answer at below too

Answer:

part 2 is A: yes

Step-by-step explanation:

Option B is correct.

We have the two following equations -

A.   5 = -2(x - 1)

B.   5 = -2x + 2

We have to find out how can we get Equation B from Equation A?

According to the distributive property -

a(y + z) = (a x y) + (a x z)

According to the question -

We have -

-5 = -2(x - 1)

Using the distributive property, we can rewrite the right hand side as follows -

-5 = -2(x - 1) = ( -2x ) + (2) = -2x + 2

Hence, option B is correct.

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Answer:

147

Step-by-step explanation:

82+9(12÷3×2)-7

82+9(4×2)-7

82+9(8)-7

82+72-7

154-7

147

Follow PEMDAS

The simplified values of the expression is 97.

First we will solve what is inside the brackets that too in 1st 2nd and 3rd bracket order then we will divide after that we will multiply then we will add then subtract.

The given equation is

82 + 9 (12 ÷ 3×2) - 7

Here we will follow BODMAS rule

BODMAS stands for Brackets of order division multiplication addition and substraction. In this order we will solve our expression

82 + 9 (12 ÷ 3×2) - 7

= 82 + 9(12 ÷ 6) - 7

= 82 + 9(2) - 7

=82 + 18 - 7

=100 - 7

= 97

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Answer:

y = -1.50x + 15, Domain is from 0 to 10

Step-by-step explanation:

First, look at the question carefully and highlight all the words that are important. We know that the 15 dollar giftcard is important, and we know that each song costs 1 dollar and 50 cents is important. We will make an equation out of this information. Since she is spending money, the value of X will be negated. She starts out with 15 dollars, so that will be our y-intercept. From this, the equation is y = -1.50x + 15. Next, let's look at the domain. We can see that the question asks for a suitable domain, not the domain of the function. Since she didn't have more than 15 dollars from her gift card, any domain from negative infinity until 0 will be crossed out. The x-intercept of this equation is 10, so any value above 10 will be crossed out since you cannot spend more money than you were given. The domain would now be from 1 to 10.

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Domain is the furthest X value while Range is the furthest Y value.

Answer:

ye s1.8x10-4 is greater than 7.2x10-1

Step-by-step explanation:

The number 1.8*10⁻⁴ is smaller, not larger than 7.2*10⁻¹

We have two numbers in scientific notation, these are:

1.8*10⁻⁴

7.2*10⁻¹

We want to see if the first one is larger than the second one. This is trivial to notices, because the exponent in the first number is 3 orders of magnitude smaller than the other exponent, then the first number is smaller than the second, not larger.

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Answer:

The answer is C.

Step-by-step explanation:

Given that ∠I and ∠K have the same angles so we can assume that this is an Isoceles Triangle where 2 sides are equal. So we can compare the expressions of JI and JK to get the value of x :

[tex]JI = 5x + 4[/tex]

[tex]JK = 2x + 7[/tex]

[tex]JI = JK[/tex]

[tex]5x + 4 = 2x + 7[/tex]

[tex]5x - 2x = 7 - 4[/tex]

[tex]3x = 3[/tex]

[tex]x = 1[/tex]

Next, we have to substitute the x value into the expression of JK :

[tex]JK = 2(1) + 7[/tex]

[tex]JK = 2 + 7[/tex]

[tex]JK = 9[/tex]

(Correct me if I am wrong)

Answer:

8x^2-44x-24

Step-by-step explanation:

(2x + 12)(4x-2)

=>8x^2+48x-4x-24

=>8x^2-44x-24

Answer:

"They organize data and can reveal relationships, making it easier to write equations that describe the patterns."

Step-by-step explanation:

Answer:

Step-by-step explanation:

27x -50 + 3x - 2 = 38

30x - 52 = 38

30x = 90

x = 3

27(3) - 50 = 81 - 50 = 31 = FG

Answer:

Y=75 bring a linear angle

Answer:

Y is 75 by linear pair

hope it's help h

Answer:

Using the quadratic formula:

x = [--44 +- sqr rt (-44^2 -4*24*12)] / 4*12

x = [44 +- sqr rt (1,936 -1,152)] / 48

x = [44 +- SQR RT (784)] / 48

x = (44 +- 28) / 48

x1 = 72 / 48 = 1.5

x2 = 16 / 48 = 1 / 3 = .3333333333...

Step-by-step explanation:

Answer:

1x

Step-by-step explanation:

Answer:

-20x

Step-by-step explanation:

Answer:

  4000

Step-by-step explanation:

40% of the number is 15% more of the number than 15% of the number is. So, 600 is 15% of the number.

  600 = 0.15n

  600/0.15 = n = 4000

The number is 4000.

__

Check

40% of 4000 is 1600. 25% of 4000 is 1000. 1600 is 600 more than 1000.

Answer:

5 I think because don't you divide

Answer 150β

10 times 15

Answer: The answer is B

Step-by-step explanation:

Answer:

absolute value

Step-by-step explanation:

Answer:

26

Step-by-step explanation: I'm pretty sure its 26 because if k = 7 then 4 times 7 equals 28. Then you subtract 2. That's how I got 26.

Answer:

Step-by-step explanation:

[tex]4k-2\\k= 7\\[/tex]

Substitute 7 for k into the given equation

[tex]4(7)-2\\\\=28-2\\\\=26[/tex]

Answer: Consider these numbers, ordered from least to greatest.

Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent

A number line going from negative 2 to positive 1.

Which values could correctly fill in the blank?

Select all that apply.

Step-by-step explanation:

The values that will correctly fill the blank when ordered from least to greatest on a number line are: 10%, -0.1, and ¼.

The number line given showing different positions of the numbers is shown in the image attached below.

The blank space that was left can only be filled with numbers that are above -0.2 and below 0.5.

From the options given:

Therefore the values that will correctly fill the blank when ordered from least to greatest on a number line are: 10%, -0.1, and ¼.

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Answer:

0

Step-by-step explanation:

The original amount of dimes Marcy had before sharing with Jaunita is 52.

Let's break down the given information step by step to determine the original number of dimes Marcy had.

Marcy gave Juanita as many dimes as Juanita had.

After this transaction, Juanita now has 26 dimes, and Marcy has x - 26 dimes, where x is the original number of dimes Marcy had.

Juanita gave Marcy as many dimes as Marcy had left.

After this transaction, Marcy now has 20 dimes, and Juanita has 26 - 20 = 6 dimes remaining.

From the above information, we can set up the following equation:

x - 26 = 20 + 6

Simplifying the equation:

x - 26 = 26

Adding 26 to both sides:

x = 52

Therefore, the original amount of dimes Marcy had is 52 dimes.

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Answer:

x[tex]\geq[/tex]-3 and x<4

Step-by-step explanation:

5x[tex]\geq[/tex] -15 and 3x<12

x[tex]\geq[/tex] -3 and x<4

Now you just need to graph it :)

Answer:

(2x-5)feet

Step-by-step explanation:

The area of the rectangular garden A = Length × Width

Given the area A(x) = 2x² - 21x + 40

And the width =x-8 feet

To get the length, we will simply factorise the area function as shown;

You will just factorise the area

Factorizing 2x² - 21x+40

2x² − 21x + 40

2x² -16x - 5x + 40

2x(x - 8) -5(x - 8)

=(2x−5)(x−8)

Hence the length of the garden is

(2x-5)feet