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Aleks04 [339]
2 years ago
5

What is the quotient (x3 8) ÷ (x 2)?

Mathematics
2 answers:
Tanya [424]2 years ago
8 0
If you would like to solve (x^3 + 8) / (x + 2), you can do this using the following steps:

x^3 + 8 = (x + 2) * (x^2 - 2x + 4)

(x^3 + 8) / (x + 2) = (x + 2) * (x^2 - 2x + 4) / (x + 2) = <span>x^2 - 2x + 4
</span>
The correct result would be <span>x^2 - 2x + 4.</span>
Musya8 [376]2 years ago
7 0

As the Question is not clear

But there are two possibilities

1. \frac{x^3+8}{x+2}=\frac{(x+2)(x^2-2 x+4)}{x+2}=x^2-2 x+4→→Cancelling x+2 from numerator and denominator

→→ Using the formula (a³ + b³) =(a+b)(a² - ab + b²)

Or if

\frac{x^3-8}{x-2}=\frac{(x-2)(x^2+2x+4)}{x-2}=x^2+ 2 x +4→→Cancelling x-2 from numerator and denominator

Using the formula (a³ - b³) =(a-b)(a² + ab + b²)

Statement (1) appears true.

So, correct option is  x²- 2 x + 4 or x² + 2 x + 4

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Divide rs 350 in ratio 2:5​
mihalych1998 [28]

Answer:

100 : 250

Step-by-step explanation:

Sum the parts of the ratio, 2 + 5 = 7 parts

Divide the quantity by 7 to find the value of one part of the ratio.

350 ÷ 7 = 50 ← value of 1 part of the ratio, thus

2 parts = 2 × 50 = 100

5 parts = 5 × 50 = 250

350 = 100 : 250 in the ratio 2 : 5

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2 years ago
What is the surface area of the regular pyramid below
Alenkinab [10]

S=14\times14+4(\frac{14}{2}\times18) \\S=196+4(7\times18) \\S=196+4\times126 \\S=196+504 \\S=\boxed{700}

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2 years ago
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Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza wit
timurjin [86]

Answer:

Option A. $17.28

Step-by-step explanation:

we have the expression for the cost

0.90(2.25d+1.40t+6)

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substitute the given values in the expression to obtain the cost

0.90(2.25(4)+1.40(3)+6)=\$17.28

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What is the x-intercept of the line with the equation -2x+1/2y=18
Mkey [24]

The x-intercept is a point on the x-axis.
y=0 at every point on the x-axis.

                                       -2x + 1/2(0) = 18

                                       -2x              =  18

Divide each side by  -2 :    x = -9

7 0
2 years ago
Which of the following functions is graphed below?
Butoxors [25]

Answer:

Option (B)

Step-by-step explanation:

Given question is not complete; find the complete question in the attachment.

In the graph attached,

Parent function is an absolute value function,

f(x) = |x|

When this graph is shifted 4 units left, rule for the translation will be,

f(x) → f(x + 4)

Therefore, the new function of above translation will be,

g(x) = f(x + 4) = |x + 4|

Now the graph is shifted 2 units down so the translated function will be,

h(x) = g(x) - 2

h(x) = |x + 4| - 2

If we rewrite the function in the form of an equation, graph will be represented by

⇒ y = |x + 4| - 2

Therefore, Option (B) will be the answer.

8 0
2 years ago
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