Let f(x) = x^2 + 6 and g(x) = x+8/x. Find (g ° f)(-7)

Answers

Answer 1

Answer: g(55)= (55+8)/55

Now just simplify the numerator.

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15x+12=45+4x
whats x?

Answers

15x+12=45+4x ⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3

Like terms are when the variable you have are the same. In this case it is x. Therefore, when you have like terms, you should add, or subtract your like terms.

(note: When you move one thing to the other side of the equation, make sure to do the opposite of the sign. i.e. if it is +4 when you move to the other side it will be -4).

15x+12=45+4x
15x+12-12=45+4x-12
15x=45+4x-12
15x-4x=45+4x-4x-12
15x-4x=45-12
11x = 33
this is the same as:
11*x = 33
the opposite of multiply is divide so when we move the 11 it has to be divide
11/11*x=33/11
x=3

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.If the profit is the difference between the revenue and the cost, what expression represents the profit?

3x – 260
3x + 140
5x – 260
5x + 140

Answers

For this case we have the following quadratic functions:

Revenue:

Cost:

Then, we observe that the profit is given by the following mathematical relationship:

Substituting values we have:

Making the corresponding calculations we have:

Answer:

An expression that represents the profit is:

$Profit = 5x - 260$

Answer:

5x – 260

i hope this helps you

A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??

Answers

we know that
scale =measure in the map/measure in the actual
measure in the actual=measure in the map/scale
scale=1 cm/ 80 mi
for
measure in the map=7.5 cm
measure in the actual=?
measure in the actual=7.5 /(1/80)-----> 7.5*80-----> 600 mi

the answer is
the actual distance between the two cities is 600 miles

The sine of a 30 degree angle is equal to the cosine of a 60 degree angle.True
False

Answers

Answer:

The sentence is True

Step-by-step explanation:

In Geometry, there is a theorem that relation the sine angle and the cosine angle. The theorem says: The sine of any acute angle is equal to the cosine of its complement.

So, let β represent an acute angle

sin (β)=cos(90-β)

Given β=30, let it replace in the formule:

sin (30)=cos(90-30)

sin (30)=cos(60)

Done.

The answer is True.........................

Thuy drives 270 miles in 6 hours. How many miles does Thuy drive in 13 hours? 455 miles 585 miles 624 miles 715 miles

Answers

One way you can solve this is with proportions/ratios with multiplication
$(270miles)/(6hours) = (X miles)/(13hours)$

Cross Multiply
$(270 miles)(13 hours)=(X miles)(6 hours)$
$3510=6X$
$(3510)/(6) = (6X)/(6)$
$585 miles=X$

The answer is 585 miles

he drives 270 miles in 6 hours and 6x2= 12 so we are going to divide 270 in 6.
270%6= 45.
Now we multiply: 270x2=540
and we add 45 that equals an hour of driving.
540+45= 585
Now we got 13 hours of driving
Thuy drives 585 miles in 13 hours.

If a letter is chosen at random from the word ARIZONA, what is the probability of choosing an A? A. 1/7 B. 2/7 C. 4/7 D. 5/7 Please select the best answer from the choices provided A B C D

Answers

2/7

There are 2 A's out of 7 letters in total...

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