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3 years ago

According to the synthetic division below, which of the following statements are true

Mathematics

1 answer:

Hunter-Best [27]3 years ago

7 0

Answer:

B and D

Step-by-step explanation:

The polynomial x² + 6x - 8 ( from values in first row )

is being evaluated at x = - 5 thus the factor is (x + 5)

If (x + 5) is a factor the remainder = 0

Hence (x + 5) is not a factor since remainder = 12 ≠ 0

When the polynomial is evaluated at x = 5 it's value is 12

The remainder theorem states that f(h) = remainder, hence

f(- 5) = 12 ← remainder

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Can anyone pleasse help me this is due tmorrow please i beg

Elis [28]

Answer:

What is the question

Step-by-step explanation:

idk the question so, idk the answer

6 0

2 years ago

Loretta invested $1000 in a simple interest account yielding 5% paid annually. In 2 years, she will have $1100 in her account. F

Vlad1618 [11]

Answer: $1100 will represent the amount after 2 years at the rate of 5%.

Step-by-step explanation:

Since we have given that

Principal amount = $1000

Rate of interest = 5%

Time period = 2 years

As we know the formula for "Simple Interest ":

$Interest=\frac{P\times R\times T}{100}\\\\Interest=\frac{1000\times 5\times 2}{100}\\\\Interest=\$10$

And we know that

$Amount=Principal+Interest\\\\Amount=1000+100\\\\Amount=\$1100$

So, $1100 will represent the amount after 2 years at the rate of 5%.

4 0

2 years ago

Read 2 more answers

525% as a fraction or mixed nember

Mkey [24]

As a fraction, the answer is 21/4

6 0

3 years ago

Please solve and show work.

loris [4]

Answer:

63.16 in approx.

Step-by-step explanation:

Let the shorter leg be S. Then the longer leg is L = 3S + 3.

The formula for the area of a triangle is A = (1/2)(base)(height). Here, that works out to A = 84 in^2 = (1/2)(S)(3S + 3).

Simplifying, we get 168 in^2 = S(3S + 3), or

3S^2 + 3S - 168 = 0, or

S^2 + S - 56 = 0. This factors as follows: (S - 8)(S + 7) = 0, so the positive root is S = 8. We discard the negative root.

Thus, the shorter leg length is 8 and the longer leg length is 3(8) + 3, or 27.

According to the Pythagorean Theorem, the hypotenuse length is given by

L^2 = 8^2 + 27^2, or

L^2 = 64 + 729 = 793.

L = hypotenuse length = √793, or approx. 28.2 in.

Then the perimeter of the triangle is 8 + 27 + 28.2 in, or approx. 63.16 in

4 0

2 years ago

A) A rectangular prism 10 m 10 m 50 m Volume: Surface Area:

Rama09 [41]

Answer:

$\huge\boxed{V=5,000m^3}\\\boxed{SA=2,200m^2}$

Step-by-step explanation:

The formula of a volume of a rectangular prism $a\times b\times c$ :

$V=abc$

The formula of a surface area of a rectangular prism $a\times b\times c$ :

$SA=2(ab+ac+bc)$

We have

$a=10m;\ b=10m;\ c=50m$

Subtitute:

$V=(10)(10)(50)=5,000(m^3)\\\\SA=2\bigg((10)(10)+(10)(50)+(10)(50)\bigg)\\=2(100+500+500)=2(1100)=2,200(m^2)$

3 0

2 years ago