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3 years ago

Determine which polynomial is a perfect square trinomial. Explain your answer.

Mathematics

1 answer:

kupik [55]3 years ago

5 0

Answer:

The answer is B. 9a2-30a+25

Step-by-step explanation:

First of all, the second sign is going to be +, so you can toss out C and D without checking.

Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.

sqrt(49) * sqrt(16) = 7 * 4 = 28

28 * 2 = 56

56 <> 28

So toss A.

sqrt(9) * sqrt(25) = 3 * 5 = 15

15 * 2 = 30

So the answer is B

(3a - 5)^2 = 9a^2 - 30a + 25

By the way, use ^ to indicate an exponent.

You might be interested in

Let f be a linear function. When f x( ) is divided by x − 3, the remainder is 5. When f x( ) is divided by x − 4, the remainder

goldfiish [28.3K]

Answer:

f(0)=11

Step-by-step explanation:

f(x) is a linear function, hence it is of the form f(x)=ax+b for some constants a,b.

When we divide f(x) by x-3 the remainder is 5. Moreover, using the division algorith we have that

$f(x)=a(x-3)+(b+3a)$

hence 5=b+3a.

On the other hand, when we divide f(x) by x-4 the reminder is 3. Also, using the division algorithm, we have that

$f(x)=a(x-4)+(b+4a)$

hence 3=b+4a.

Therefore, to find f(x), we have to solve the linear sistem

$b+3a=5\\\\b+4a=3$

If we substract the first and the second equation, we get

$3a-4a=5-3 \quad \Rightarrow \quad -a = 2 \quad \Rightarrow \quad a=-2$

and using the last result we get that

$5=b+3a=b+3(-2)=b-6 \quad \Rightarrow \quad b=11$

Hence, f(x)=-2x+11, and so f(0)=11.

3 0

3 years ago

Write each number in scientific notation. 0.00916 {blank} x10 {blank}

Luda [366]

Answer:

9.16 x 10^ -3

4 0

3 years ago

Write each percent as a fraction and as a mixed number or fraction 325% 480% 0.6%

ExtremeBDS [4]

325%=3.25 which is $\frac{325}{100}$ or $3\frac{25}{100}$ which can be reduced to $3\frac{1}{4}$

480%=4.80 which is $\frac{480}{100}$ or $4\frac{80}{100}$ which can be reduced to $4\frac{4}{5}$

0.6%=0.006 which is $\frac{3}{500}$

I hope this helps.

3 0

3 years ago

96 16 81 = x 11 15 18 = y what is the value of y-2x?

qwelly [4]

Hey, im not really sure but i think it is that 1. x=96 y=11 2. x=16 y=15 3.x=81 y=18
Then you just substitute the numbers into the letters. For example,

11-96(2)= -181

15-16(2)= -17

18-81(2)= -144

3 0

3 years ago

An astronaut is returning to earth in a spacecraft. If the spcecraft is descending at a rate of 13.81 kilometers per minute, wha

aalyn [17]

Answer:

-75.955 kilometers

Step-by-step explanation:

multiply the speed by the time to get distance

the spacecraft is descending, so change in height will most likely be answered as a negative number

13.81 × 5.5 = 75.955

5 0

3 years ago