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2 years ago

Which of the following trinomials can be factored using the square of the difference?

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

8 0

Answer:

d) 16x² -56x +49

Step-by-step explanation:

The square of a binomial difference will have the form ...

(ax -b)² = a²x² -2abx +b²

The sign of the linear term will be negative, which eliminates choices A and C.

The linear term will be double the product of the roots of the other two terms.

In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.

Choice D factors as ...

16x² -56x +49 = (4x -7)² . . . . the square of a difference

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Part A). Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are d

rosijanka [135]

Answer

A. -30 points

B. 60 points

Step-by-step explanation:

20 points for correct answer and 10 points deducted for wrong answer

Each deduction is -10 while each correct answer gives + 20

4 questions correctly and 11 incorrectly

= 4(20) + 11(-10)

= 80-110 = -30 points

Second round

7 correct, 8 incorrect

= 7(20) - 8(10)

= 140-80 = 60 points

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2 years ago

Justin needs to earn a score of more than 80 on his next math test to earn a B for the semester. Which inequality shows the grad

zvonat [6]

Answer:

Step-by-step explanation:

Justin's score has to be greater than 80. the appropriate inequality sign is >

Note that

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

On the number line, since the score has to be greater than 80, the line would start from 80 and end on 95

> or < is represented by unfilled circle

≤ or ≥ is represented by filled circle

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3 years ago

Alexandra and Stephanie are sisters, and they're saving their money to buy a used car. Together they have more than $2,500, and

Vilka [71]

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns: a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

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2 years ago

What is the circumference of the circle? (use 3.14 for pi)

Alina [70]

Step-by-step explanation:

$Circumference = d\pi$

$Circumference = (18) \pi$

$Circumference = 56.52$

The circumference of the circle is 56.52 km which is letter choice B.

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3 years ago

Read 2 more answers

Find f(5). f(x) = x2 + 2x A)15 B)20 C)30 D)35

inysia [295]

f(5) means to replace x in the equation with 5 then solve.

f(x) = x^2 +2x

f(5) = 5^2 + 2(5)

f(5) = 25 +10

f(5) = 35

The answer is D)35

7 0

2 years ago