MATHEMATICS HIGH SCHOOL

What are the square roots of 256? A.
15 and –15

B.
16 and –16

C.
25 and –25

D.
128 and –128

Answers

Answer 1
Answer: the square root of 256 is 16 and -16
Answer 2
Answer: I think... 
B
not sure

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Which represents the inverse of the function f(x) = 4x?

Answers

f(x)=1/4x should be your answer

Answer:-1/4

Step-by-step explanation:

i dont know how to step by step

Compare the numbers √11 and 3.7. Use the symbols <,>,or=.

Answers

Answer: Hi! here we want to compare the numbers √(11) and 3.7

and we need to use <,> or =

So the first thing i would look is the square root.

we know that 3^(2) = 9, 4^(2)  = 16

so 3< √(11) <4

now we can see 3.7^(2)  = (3 + 0.7)*(3 + 0.7) = (3*3 + 2*0.7*3 + 0.7*0.7) =(9 + 6*0.7 + 0.7*0.7)

is easy to see that 0.7*6 \geq 0.5*6=3

then 3.7^(2)  = (9 + 0.7*6 + 0.7*0.7)  > (9 + 3 + 0.7*0.7) > 9 +3 = 12

so 3.7^2 > 12, and 12>11

then:  3.7 > √(11)

You also can use a calculator, but i think this is not the idea of the problem.
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Factor the equation x^2-3x-18

Answers

Answer:

This is a Non-Perfect Square Trinomial. To factor this type of trinomial, you have to remember this pattern:

(x+b)(x+b)=x^2+(a+b)x+ab

So you need to find two numbers a \ and \ b such that the product is ab and the middle  term is the sum (a+b). From our polynomial:

x^2-3x-18

Those numbers are:

a=-6 \n \n b=3

Because:

ab=(-6)(3)=-18 \n \n a+b=-6+3=-3

So:

\boxed{x^2-3x-18=(x-6)(x+3)}

-x + 2 + 5x= 10 (x - 4) solve for x

Answers

Answer:

7

Step-by-step explanation:

-x+2+5x=10(x-4)

4x+2=10x-40

2+40=10x-4x

42=6x

42/6=6x/6

7=x

Answer:

x = 7

Step-by-step explanation:

-x + 2 + 5x = 10 (x - 4)

=> 4x + 2 = 10x - 40

=> 4x - 10x = -40 - 2

=> -6x = -42

=> 6x = 42

=> x = 42/6

=> x = 7

Divide 12 x²y²z by 6xyz​

Answers

Answer:

2xy is the answer
The answer to this question is 2xy

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups

Answers

The correct answer is:

t ≥ 158.33, or rounded, t ≥ 160.

Explanation:

The equation we're given is 
W = -0.414t + 129.549, which an be written as
-0.414t + 129.549 = W.

We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups.  Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549

Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)
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