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3 years ago

Distributive property 18(26) then simplify

Mathematics

1 answer:

solmaris [256]3 years ago

5 0

ANSWER: 18(26) = 468

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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.

MakcuM [25]

Answer:

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

Step-by-step explanation:

Solving Quadratic Equations

Sometimes it's preferred to solve quadratic equations without the use of the known quadratic formula solver. One of the most-used methods consists of completing squares and solving for x.

We have the equation

$\displaystyle 8x^2+16x+3=0$

We separate variables from constants

$\displaystyle 8x^2+16x=-3$

Taking the common factor 8

$\displaystyle 8(x^2+2x)=-3$

Completing squares in the brackets and balancing the equation in the right side

$\displaystyle 8(x^2+2x+1)=-3+8$

Factoring the perfect square

$\displaystyle 8(x+1)^2=5$

Isolating x

$\displaystyle (x+1)^2=\frac{5}{8}$

$\displaystyle (x+1)=\pm \sqrt{\frac{5}{8}}$

$\displaystyle x=-1\pm \sqrt{\frac{5}{8}}$

We can clearly see the steps used to solve the quadratic equation are (in order and written like in the question)

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

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3 years ago

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Olivia uses the work below to determine 55% of 720.

Anna11 [10]

Answer:

396

Step-by-step explanation:

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2 years ago

Hunter did not want to spend more than 150$ for a flight from Reno to Los Angeles. Write the inequality that models this situati

Jobisdone [24]

Answer:

$(a)\ x < 150$

$(b)\ x = 149; x = 148$

Step-by-step explanation:

Given

$Amount = 150$ --- not more than

$x \to$ spending

Solving (a): Represent as an inequality

Not more than means <

So, the inequality is:

$Spending < Amount$

$x < 150$

Solving (b): The first two possible solutions

These are the numbers closest to 150 i.e. 149 and 148

Hence, $x = 149; x = 148$

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2 years ago

If the volume of a cube is 1728cm^3 find its length of its side

Shalnov [3]

Answer:

it's a very easy one and it's answer is 1728

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PLEASE HELP!!!

4vir4ik [10]

v=πr^2(r+7) in my opinion is the correct expression

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3 years ago