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My name is Ann [436]
3 years ago
13

Given h(x) = 3x - 3, find h(3).

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Answer:

<h2>h(3) = 6</h2>

Step-by-step explanation:

h(x) = 3x - 3

To find h(3) , substitute the value of x that's 3 into h(x). That is for every x in f (x) replace it with 3

We have

h(3) = 3(3) - 3

= 9 - 3

We have the final answer as

<h3>h(3) = 6</h3>

Hope this helps you

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Brandon and Denny are playing a video game. Brandon has 3 times as many points as Denny l. Brandon has 12 points. How many point
Ann [662]

Answer:

it is 4

Step-by-step explanation:

12 ÷ 3 = 4

3 x 4 = 12

4 x 3 = 12

5 0
3 years ago
Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0
3 years ago
PLEASE HELP ME!! I can’t figure this out
DochEvi [55]
Hello!

The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:

y – y_{1} = m(x – x_{1})

In this case, M represents the slope while X_{1} and Y_{1} represent the corresponding X and Y values of any given point on the line.

We are given that the slope of the line is -\frac{5}{7}. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that X_{1} is equal to 6 and Y_{1} is equal to 2. Now insert all known values into the point-slope formula above:

y – 2 = -\frac{5}{7}(x – 6)

We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.

I hope this helps!

7 0
3 years ago
Factor -1/3 out of -1/3x-12
strojnjashka [21]
-\frac{1}{3}x-12\ \ \ | put\ -\frac{1}{3}\ in\ front\ of\ the\ bracket\\\\&#10;-\frac{1}{3}(x+36)\\\\&#10;Solution\ is\ -\frac{1}{3}(x+36)
5 0
3 years ago
I need to find the area of this
Olegator [25]

The answer is 130 inches squared

7 0
3 years ago
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