MATHEMATICS HIGH SCHOOL

Find (fog)(x). f(x) = 2x g(x) = x + 6

write your answer as a polynomial in simplest form.
(f•g)(x)=​

Answers

Answer 1
Answer:

Answer: (f•g)(x)=​2x²+12x

Step-by-step explanation:

(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.

(f•g)(x)=​2x(x+6)                [distribute by FOIL]

(f•g)(x)=​2x²+12x              

Now, we know that (f•g)(x)=​2x²+12x.

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Divide r+5/ r^2+5r-14 by r^2+4-21/r-2

Answers

So we want to divide (r+5)/(r^2+5r-14) by (r^2+4r-21)/(r-2).
The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:
- For our first fraction:
r^2+5r-14=(r+7)(r-2)
Now we can rewrite our first fraction: 
(r+5)/(r^2+5r-14) = (r+5)/((r+7)(r-2))
- For our second fraction: 
r^2+4r-21=(r+7)(r-3)
Now we can rewrite our second fraction:
(r^2+4r-21)/(r-2) = ((r+7)(r-3))/(r-2)

Last but not least, we can express our division as a fraction and simplify: 
((r+5)/((r+7)(r-2)))/( ((r+7)(r-3))/(r-2)) = ((r+5)(r-2))/((r+7)(r-2)(r+7)(r-3)) = (r+5)/((r+7)^2(r-3))

We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is: (r+5)/((r+7)^2(r-3))

Which is the same as 6 mph?

Answers

9656,064 m/h 31680 ft/h 965606.4 cm/h 9,6560064 Km/h 10650 yards/h 380160hope that helped

i would assume 9.6 kph

You add two numbers together, and the total is 122. If you triple the smaller number and subtract 34, it will equal the larger number. What are the two numbers?

Answers

Answer: 39 and 83

Step-by-step explanation:

Let's assume the smaller number is represented by 'x' and the larger number is represented by 'y'.

According to the given information, we have two equations:

Equation 1: x + y = 122

Equation 2: 3x - 34 = y

We can solve this system of equations to find the values of 'x' and 'y'.

Substituting Equation 2 into Equation 1, we get:

x + (3x - 34) = 122

Combining like terms:

4x - 34 = 122

Adding 34 to both sides:

4x = 122 + 34

4x = 156

Dividing both sides by 4:

x = 39

Substituting the value of 'x' back into Equation 1:

39 + y = 122

Subtracting 39 from both sides:

y = 122 - 39

y = 83

Therefore, the smaller number is 39 and the larger number is 83.

What is the solution of 3x + y = 9 and 3x − 5y = 15?

Answers

The answer is (10/3, -1)

Find the area of the regular polygon. Give the answer to the nearest tenth.pentagon with a side of 6 m (1 point)
A. 123.9 m²
B. 12.4 m²
C. 61.9 m²
D. 49.5 m²

Answers

The area of the regular pentagon:A=5* (s*a)/(2) where s=6m, and a=3*tg 54°= 3*1.37=4.13 m
Explanation: 54° is a half of the inner angle of the pentagon. The interior angles of a pentagon add up to 540°. Each angle is 108°.
Finally: A=5* (6*4.13)/(2)=61.93 m².
Answer: C) 61.9 m²

Answer:

61.9

Step-by-step explanation:

center center is 72 degree for each triangle

the distance of center to the side h=3/tan 36=4.12,

area=5* (4.12*6)/2=61.94==61.9

Write the ratio in lowest terms.  20:14a. (7/10)
b. (20/14)
c. (14/20)
d. (10/7)

Answers


when putting ratios, fractions, expressions, etc into lowest terms you take out the gcf.

in this case the gcf of both 20 and 14 is 2.

20/2:14/2 = 10:7

the answer is d
to get a ratio in lowest terms, you have to divide both sides by the same number.  what number fits into both?  2 does.  so 20/2=10, and 14/2=7.  this means that (d) is correct.
does that help?
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