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2 years ago

Hey can you please help me posted picture of question:)

Mathematics

2 answers:

polet [3.4K]2 years ago

4 0

The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B

MaRussiya [10]2 years ago

4 0

Your answer will be choice B: to prove this we can multiply the two binomials:
(x - 6)(x + 4) = x² + 4x - 6x - 24 = x² - 2x - 24

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megans insurance company pays for 90% of her knee surgery after she pays an $800 deductible how much will Megan pay for surgery

algol [13]

Answer:

Megan will have to pay $2, 260 for surgery.

Step-by-step explanation:

1. Translate percent into decimal:

90% -> 0.9

2. Multiply (to find out how much the insurance company pays):

(0.9)(14, 600) = 13, 140

3. Subtract:

14, 600 - 13, 140 = 1, 460

4. Add (to find out how much Megan pays):

1, 460 + 800 = 2, 260

3 0

2 years ago

Read 2 more answers

A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that ar

zhenek [66]

Question:

If a sample of 2 hammer is selected

(a) find the probability that all in the sample are defective.

(b) find the probability that none in the sample are defective.

Answer:

a $Pr = \frac{2}{110}$

b $Pr = \frac{72}{110}$

Step-by-step explanation:

Given

$n = 11$ --- hammers

$r = 2$ --- selection

This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities

Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

$Pr = P(D) * P(D)$

$Pr = \frac{2}{11} * \frac{2-1}{11-1}$

$Pr = \frac{2}{11} * \frac{1}{10}$

$Pr = \frac{2}{110}$

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

$P(D') = \frac{9}{11}$

For two selections, the probability that all are not defective is:

$Pr = P(D') * P(D')$

$Pr = \frac{9}{11} * \frac{9-1}{11-1}$

$Pr = \frac{9}{11} * \frac{8}{10}$

$Pr = \frac{72}{110}$

8 0

2 years ago

when asked to factor the x^2 - 100, a student gives the answer (x -10) (x-10). what is wrong with this answer?

aalyn [17]

$x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}$

3 0

1 year ago

Justin‘s gas tank is 3/10 full after he buys 14 gallons of gas it is 4/5 full how many gallons can Justin‘s tank hold

dangina [55]

Answer:
I can help, its 45

6 0

1 year ago

DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?

Amanda [17]

Answer:

The area of DBE = 27 square units

Step-by-step explanation:

Area of ABC = 3 square units

In the figure, we can see that ABC was enlarged so that BDE is formed where side BD = 6 and AB was = 2

Hence ABC was enlarged 3 times its size.

We know by formula that:

Area of ABC = 1/2(base x perpendicular)

3 = 1/2(2 x p)

=> p = 3

As ABC was enlarged 3 times its size, the perpendicular of BDE must be 3*p

= 3*3 = 9

AREA OF DBE = 1/2(base*perp)

= 1/2(6*9)

= 27 square units

8 0

3 years ago