Consider the function f(x) =x² - 4
9-x?
For which intervals is f(x) positive? Check all that apply.
(-0, -3)
(-3,-2)
O(-2,2)
(2,3)
(-0,3)

Answers

Answer 1
Answer:

Answer:

(-0,-3)

Step-by-step explanation:


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If 3 1/2 pounds of bananas cost 1.96 how much would one pound cost

What is the common factors of 96 and 144

Answers

Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The common factors of both numbers:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48

GCF = 48

What is 5 x 2 + 3 to the power of 2

Answers

5*2 = 10

3^2 = 3*3 = 9

10 + 9 = 19

Answer: 19

PLEASE ANSWER + BRAINLIEST!!Factor completely.

x^2 - x - 30 =

2m^2 - 2m - 60 =

Answers

Looking at x^2 - x - 30, we see that 5*6=30, so we can immediately conclude that x^2 - x - 30 = (x+5)(x-6).  check this by multiplication.

2m^2 - 2m - 60 can be reduced to 2(m^2 - m - 30), which in turn can be factored as    2(m+5)(m-6).  The trick here is to notice how easily "2" can be factored out of the given equation.


Five times the number of test tubes in a school’s chemistry lab exceeds three times the number of beakers it has by 660. The sum of two times the number of test tubes and five times the number of beakers is 450.If b is the number of beakers and t is the number of test tubes, the system of linear equations representing this situation is .
The number of beakers in the school’s lab is , and the number of test tubes in the school’s lab is .

Answers

\left\{\begin{array}{ccc}5t-3b=660&|multiply\ both\ sides\ by\ 2\n2t+5b=450&|multiply\ both\ sides\ by\ (-5)\end{array}\right\n\n\underline{+\left\{\begin{array}{ccc}10t-6b=1320\n-10t-25b=-2250\end{array}\right}\n.\ \ \ \ \ \ -31b=-930\ \ \ \ |divide\ both\ sides\ by\ (-31)\n.\ \ \ \ \ \ \ \ \ \ \ \boxed{b=30}\n\nsubtitute\ the\ value\ of\ b\ to\ the\ second\ equation:\n\n2t+5\cdot30=450\n2t+150=450\ \ \ \ |subtract\ 150\ from\ both\ sides\n2t=300\ \ \ \ \ |divide\ both\ sides\ by\ 2\n\boxed{t=150}

Answer:
The number of beakers in the school’s lab is 30, and the number of test tubes in the school’s lab is 150.

If the radius of a circle is increased by 50 %, what will be the percent increase in the circumference of the circle? (Circumference 2*pi *r)

Answers

If the radius is increased by 50 per cent,
then R = r+ r/2
= 3r/2 = 1.5r
thus, increase in circumference = 2 pi r = 2 x pi x 1.5 r
= 3 pi r.
Thus initial c = 2 pi r, final c = 3 pi r.
thus increase percent = change in c/ initial c x 100 = 1/2 x 100 = 50 percent.
Thus, the circumference will also increase by 50 % 

How far will a jet travel in 2 hours and 30 minutes if its average speed is 450 miles per hour?

Answers

Distance = rate x time

D = 450 mph x 2.5 h
D = 1,125 miles
Well we know that in 1 hour it goes 450 miles. So to figure out how far it goes in 2.5 hours multiply 450 by 2.5 =1125. The jet will go 1,125 miles in 2.5 hours :)