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3 years ago

What is the interval in which both f (x) and g(x) are positive?

Mathematics

1 answer:

DIA [1.3K]3 years ago

4 0

Answer:

A. (4, ∞)

Step-by-step explanation:

f(x) is positive in the interval:

(-∞, -2) ∪ (1, ∞)

g(x) is positive in the interval:

(4, ∞)

The intersection of the above intervals is:

(4, ∞)

Correct choice is A

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A sailboat travels 3 miles in 1.5 hours. How far can a boat travel in 0.5 hour?

Liono4ka [1.6K]

the answer to that question is 1 mile

4 0

3 years ago

Use the information given in the diagram. Tell why AB≈DC and

Katen [24]

AB=DC because they have the same side lengths

5 0

3 years ago

Read 2 more answers

Find Distance (4,6) (-4,-3)

vampirchik [111]

Answer:

$\sqrt{145}$

Step-by-step explanation:

The distance formula states that the distance between two points $(a,b)$ and $(c,d)$ is $\sqrt{(a-c)^2+(b-d)^2}$ .

The two points we have are $(4,6)$ and $(-4,-3)$ . Plugging these numbers into the distance formula, we have

$\sqrt{(4-(-4))^2+(6-(-3))^2$ .

Simplifying with order of operations, first using the distributive property, gives

$\sqrt{(4+4)^2+(6+3)^2$ .

Squaring and adding gives

$\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},$

which is the answer in simplest form. This also rounds to about 12.04.

7 0

2 years ago

Just runs 11 miles in 67 minutes how many miles does he run per minute

alina1380 [7]

Answer

Just runs 7 minutes per mile

Step by Step explanation

Divide 11 by both numbers which leaves you with

1/6

Because you have to divide 11 by 11 and 67 by 11

when you calculate it you get 6.090909091

so you can round it to 7.

8 0

3 years ago

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

nadezda [96]

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

3 0

3 years ago