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3 years ago

Which of the following options is a root of the function? f(x) = (3x + 5) (x2 - 6x + 9)2

Mathematics

1 answer:

Alika [10]3 years ago

3 0

Answer:

The roots of the function are x = -5/3 and 3. Select these.

Step-by-step explanation:

The roots of the function are the solutions to the function. They are also called the x-intercepts or zeros. To find them, factor the function completely and solve using the zero product property.

f(x) = (3x+5)(x2-6x+9)2 becomes f(x) = (3x+5)(x-3)^2

Set each factor equal to 0 and solve for x.

(3x+5)=0

3x = -5

x = -5/3

(x-3)^2 = 0

x - 3=0

x = 3

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(17 Leon uses 3/4 cup water to make a serving of iced tea.

Ksivusya [100]

Answer:

A.) 12 3/4 cups

B.) 117 1/3

Step-by-step explanation:

Part A

If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?

To answer this, you must multiply 3/4 and 17

17 is the same as 17/1, so multiply the numerators and denominators

17 x 3 = 51

1 x 4 = 4

51/4 = 12 3/4

So, Leon used 51/4 or 12 3/4 cups of water

Part B

If the cooler has 88 servings of tea, how many cups of water does it have?

To solve this, divide 88 by 3/4

Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.

Again, 88 is the same as 88/1 so multiply the numerators and the denominators.

88 x 4 = 352

1 x 3 = 3

352/3 = 117 1/3

So, there are 352/3 or 117 1/3 cups of water in the cooler

I hope this helps!

4 0

4 years ago

Profit is equal to the revenue obtained from selling items minus the cost of producing those items, i.e. P(x) = R(x) – C(x) wher

DIA [1.3K]

P(x)=R(x)-C(x)
Given that:
R(x)=2.5x and C(x)=0.5x+3
Then,
P(x)=2.5x-(0.5x+3)
P(x)=2x-3
thus for profit of $99, the number of units will be found as follows:
99=2x-3
solving for x we get:
102=2x
x=56 units

7 0

4 years ago

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John has 12 pounds of dog food and is going to separate it into 3/4 pound portions. How many portions of dog food will he have?

NNADVOKAT [17]

16 portions

explanation:

12 / 3/4

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= 4*4 = 16

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3 years ago

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2 years ago

Jake tutors students. He charges $10 for the first session and $5 for each additional session. Let x

SIZIF [17.4K]

Answer: y = 5x + 10

Step-by-step explanation:

y= 5x + 10

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2 years ago

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