How many zero pairs must be added to the functionf(x) = x2 – 10x – 4 in order to begin writing the function in vertex form?

A.4
B.10
C.21
D.25

Answers

Answer 1
Answer: f(x) = x² - 10x - 4
f(x) + 4 = x² - 10x

- 10x / 2 = - 5x

- 5² = 25

f(x) + 4 + 25 = (x² - 10x + 25)
f(x) + 29 = (x-5)² 
f(x) = (x-5)² - 29

D. 25

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How many terms are there in the expression 2x - 5y + 3 + x?

Answers

Answer:

There are three terms on the expression(3x, -5y, 3)

Step-by-step explanation:

The first step to solve this question is adding or subtracting all the common factors.

After that, each value that is added or subtracted is a term. So

2x - 5y + 3 + x = 3x - 5y + 3

There are three terms on the expression(3x, -5y, 3)

Hi there, it's really not 4 terms it actually 3 terms, I will explain why. If you combine the 2x with the x that would give you 3 terms, not 4 terms. So, there are 3 terms in it, you have to make sure to simplify it.

Haddie wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has $122.66 in her checking account. Haddie has opted in to the standard overdraft practices at her bank. How many fees is Haddie likely to pay for writing the check?

Answers

Haddie wrote a check to the grocery store for $156.00. And turns out to only become 122.66 dollars the time she checked it later that night.Now, when she checked it in her banks, I believe there are fees charged to her written check. Now, let's find out how much will that be:=> 156 dollarss to 122.66 dollars=> 33.34 dollars=> 33.34 / 156 =0.21=> 0.21 * 100% = 21%Thus, the bank opted 21% of her written check

Final answer:

Haddie is likely to pay one overdraft fee due to her account being overdrawn by the check she wrote to the grocery store.

Explanation:

Haddie has written a check for $156.00 but she only has $122.66 in her checking account. Because she has opted into the standard overdraft practices at her bank, she will likely have to pay a fee. The exact number of fees can depend on the individual bank's policies. Generally, when you overdraw on your checking account, banks will charge an overdraft fee - usually around $35. So, in this scenario, Haddie is likely to pay one overdraft fee. However, it should be noted that some banks may charge additional fees if the account remains overdrawn for a certain number of consecutive days.

Learn more about Overdraft Practices here:

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For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at x = 5. What is definitely true about x = 5?

Answers

Answer:

At x= 5 the value of both function are equal.

Step-by-step explanation:

Given that two function f(x) and g(x)

And at  x=5  

f(x)=g(x)

It means when we put x=5 in the function f(x) then we get some value and when we put x= 5 in the function g(x) then we get the same value .

Hence , the value of both function at x=5 are equal and we can say that both function intersect at the point (5,0).For example,

Let we take f(x)=x-5

and g(x)=5-x

Put  x=5 in the function f(x) then we get

f(x)=5-5=0

Now we put x=5 in the function g(x) then we get

g(x)=5-5=0

Hence, we get same value for both function .

When x = 5 then the function f(x) and g(x) are equal so when you insert 5 into the two functions, you will get the same answers for both of the functions. 

A whole theater has the capacity to hold 1,000 people. On the opening night, the theater was 95% full. What part of the theater was filled on opening night?

Answers

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

How do I do a,b,c, and d?

Answers

the probability is 25% of each and it depends which part was ripped off

Explain your answerSimplify the difference.

(4w2 - 7w - 6) - (8w2 + 2w - 3)
Choose one answer.
a. -4w2 - 9w - 3
b. 12w2 + 9w + 3
c. -4w2 - 5w - 9
d. 12w2 - 5w - 9

Answers

(4w^2-7w-6)-(8w^2+2w-3)\n -(a\pm b)=-1(a\pm b)\ \ \ \ |use\ a\ distributive\ property: a(b\pm c)=ab\pm ac\n\n\=4w^2-7w-6-8w^2-2w-(-3)\n\n = 4w^2-7w-6-8w^2-2w-(-3)\n\n=(4w^2-8w^2)+(-7w-2w)+(-6+3)\n\n=\boxed{-4w^2-9w-3}
(4w² - 7w - 6) - (8w² + 2w - 3)
(4w² - 8w²) + (-7w - 2w) + (-6 + 3)
-4w² - 9w - 3
The answer is A.