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2 years ago

Determine if x + 2 is a factor of p(x) = x 4 + 3x 3 + 4x 2 - 8 and explain why.

1 answer:

3 0

The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0

so check for p(-2)

= -2^4 +3(-2)^3 + 4(-2)^2 - 8

= 16 - 24 +16 -8

= 0

so (x + 2) is a factor

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The perimeter of a square of side 5 cm is 25 cm.<br>O True<br>O Falsethe perimeter of a circle

larisa [96]

Answer:

false

Step-by-step explanation:

I would assume false as if each of the fours sides of the square are 5 cm, then doing the equation 5×4 (unsing 4 for the each of the congruent sides) would give up 20 cm.

4 0

2 years ago

A balance sheet shows beginning values of $56,300 for current liabilities and$289,200 for long-term debt. The ending values are

Black_prince [1.1K]

Answer:

The amount of net new borrowing is $29,200

Step-by-step explanation:

Net new borrowing =

Long term debt at the end - Long term debt at the start

= $318,400-289,200 = $29,200

7 0

3 years ago

NEED HELP QUICK!!

mrs_skeptik [129]

Answer:

(x - 2)² + (y - 6)² = 49

Step-by-step explanation:

Equation of a circle formula: (x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius

Given, center = (2, 6) and radius = 7

Substitute this information in the equation of a circle formula.

⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49

3 0

2 years ago

2+2 help please I will give brainliest

liberstina [14]

The answer is 4 isn’t it?

3 0

2 years ago

Please help me asap i will give brainiest and all my points

Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

$16^{5}+215$ by 33

$1,048,576 + 215$

$1,048,791$

We now then divide the total amount with 33.

$\dfrac{1,048,576}{33}$

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

$51^{7}-51^{6}$ by 25

$897,410,677,851 - 17,596,287,801$

$879,814,390,050$

We now then divide the total amount with 25.

$\dfrac{879,814,390,050}{25}$

= 35,192,575,602

The total value did NOT return a decimal point, therefore making the equation true. $51^{7}-51^{6}$ IS divisible by 25.

Next on we have:

$5^{5}-5^{4} +5^{3}$ by 7

$3,125 - 625 + 125$

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

$2,500 + 125$