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Mariana [72]
3 years ago
7

Simplify the expression: 3(3 + 7b)

Mathematics
2 answers:
Stels [109]3 years ago
8 0

Answer:

9 + 21b

Step-by-step explanation:

I) Distribute the terms:

3(3 + 7b) = 3(3) + 3(7b)

II) Solve:

3(3) = 9

3(7b) = 21b

9 + 21b

cupoosta [38]3 years ago
4 0

Answer:

The answer is 9 + 21b

Step-by-step explanation:

Simplify the expression.

~Hoped this helped~

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Given the list of numbers, 3, 2, 6, 3, 9, 5, 12, 7, if the pattern continues, what is the sum of the ninth and tenth numbers?
LekaFEV [45]

Answer:

Step-by-step explanation:

Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.

So the odd positions go up 3 6 9 12

And the next odd position is 15 which is the nineth term.

It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.

The sum of 9 and 15 = 24

If someone gives you a more consistent answer, take it.

4 0
3 years ago
Find the indicated function values for the function f(x) = 3x² + 2x - 6.
Mariulka [41]

The function values for the function f(x) = 3x² + 2x - 6, for the values are:

a. f(0) = -6

b. f(2) = 10

c. f(-4) = 34

d. f(b) = 3b² + 2b - 6

e. f(4a) = 48a² + 8a - 6

<h3>How are function values calculated?</h3>

To calculate function value f(k) for a function f(x), we substitute variable x = k, in the function f(x).

<h3>How to solve the question?</h3>

In the question, we are asked to find the function value for the function f(x) = 3x² + 2x - 6 for:

a. f(0)

b. f(2)

c. f(-4)

d. f(b)

e. f(4a).

We calculate these in the following ways:-

a. f(0):

We substitute the value of x = 0 in the function f(x).

Therefore f(0) = 3(0)² + 2(0) - 6,

or, f(0) = 0 + 0 - 6 = -6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>-6</u>.

b. f(2):

We substitute the value of x = 2 in the function f(x).

Therefore f(2) = 3(2)² + 2(2) - 6,

or, f(2) = 12 + 4 - 6 = 10.

Therefore, the function value f(2) for the function f(x) = 3x² + 2x - 6 is <u>10</u>.

c. f(-4):

We substitute the value of x = -4 in the function f(x).

Therefore f(-4) = 3(-4)² + 2(-4) - 6,

or, f(-4) = 48 - 8 - 6 = 34.

Therefore, the function value f(-4) for the function f(x) = 3x² + 2x - 6 is <u>34</u>.

d. f(b):

We substitute the value of x = b in the function f(x).

Therefore f(b) = 3(b)² + 2(b) - 6,

or, f(b) = 3b² + 2b - 6.

Therefore, the function value f(b) for the function f(x) = 3x² + 2x - 6 is <u>3b² + 2b - 6</u>.

e. f(4a):

We substitute the value of x = 4a in the function f(x).

Therefore f(4a) = 3(4a)² + 2(4a) - 6,

or, f(0) = 48a² + 8a - 6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>48a² + 8a - 6</u>.

Learn more about finding function values at

brainly.com/question/27943419

#SPJ2

4 0
2 years ago
Read 2 more answers
Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed
alexira [117]
Rate x time = distance

8r = 460  Divide both sides by 8

rate = 57.5 miles per hour

At that speed (57.5mph) and the distance of 661.25miles we should divide

661.25 miles ÷ 57.5 mph = 11.5 hours

4 0
3 years ago
Read 2 more answers
Determine the volume of the rectangular prism. <br> height:12ft<br> width:6ft<br> length:3ft
oksian1 [2.3K]

Answer:

216 ft³

Step-by-step explanation:

h*w*l=v

12 \times 6 \times 3 = 216

5 0
3 years ago
Find the greatest common factor of the terms in the following expression 18x+12xy​
Anarel [89]
<h3>Answer:   6x</h3>

=============================================

Explanation:

Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values

  • 18 = 6*3
  • 12 = 6*2

Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.

Note how

18x + 12xy = 6x*3+6x*2y = 6x(3+2y)

Showing we can factor out the GCF using the distributive property.

8 0
3 years ago
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