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3 years ago

Consider the function c(x)=(x+3) (x-5)2 what are the zeros of c(x)

Mathematics

1 answer:

vekshin13 years ago

8 0

Answer:

The zeroes would be -3 and a double root at 5.

Step-by-step explanation:

We can find this by first expanding the function.

c(x) = (x + 3)(x - 5)^2

c(x) = (x + 3)(x - 5)(x - 5)

Then we can solve for the zeroes by setting each parenthesis equal to 0 and solving.

x + 3 = 0

x = -3

x - 5 = 0

x = 5

x - 5 = 0

x = 5

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On Sunday, a local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. The number of cheeseburgers was sol

ipn [44]

Answer:

The number of hamburgers sold was 126.

Step-by-step explanation:

Let h = number of hamburgers sold

let c = cheeseburgers sold

c+h = 378

c = 2h

Substitute c =2h into c+h =278

c+h =378

2h+h = 378

Combine like terms

3h = 378

Divide by 3

3h/3 =378/3

h =126

The number of hamburgers sold was 126.

5 0

3 years ago

The rule of 72 is used to determine how long it will take an investment to ___. For an Investment of $5,000 earning 7% annually,

Gnom [1K]

Answer:

The rule of 72 is used to determine how long it will take an investment to Double

For an Investment of $5,000 earning 7% annually, this will take about ten years

Step-by-step explanation:

The rule of 72 says that to find the number of years required to double your money at a given interest rate, you just divide 72 by the interest rate

Example:

If you want to know how long it will take to double your money at 9% interest, divide 72 by 9 you will get 8 years

The formula of the rule of 72 is Y = $\frac{72}{r}$

Let us complete the missing

The rule of 72 is used to determine how long it will take an investment to Double

The missing word is "Double"

∵ The investment is $5,000

∵ The annual interest is 7%

- By using the rule of 72

∵ Y = $\frac{72}{r}$

∵ r = 7

∴ Y = $\frac{72}{7}$

∴ Y = 10.29

- Round it to the nearest year

∴ Y ≅ 10 years

For an Investment of $5,000 earning 7% annually, this will take about ten years

The missing word is "ten"

5 0

3 years ago

Please answer this question now in two minutes

Igoryamba

Answer: x=6, y=20

Step-by-step explanation:

Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.

y=2y-20 [subtract both sides by 2y]

-y=-20 [divide both sides by -1]

y=20

--------------------------------------------------------------------------------------

3x+32=9x-4 [add both sides by 4, and subtract both sides by 3x]

36=6x [divide both sides by 6]

x=6

7 0

3 years ago

Which of the following lists of ordered pairs is a function?

Eduardwww [97]

To find if one is a function, you must see if the pattern is the same.
Domains (x) can not have two values
I forget what the y value is called, but there can be the same y- value for multiple x - values

A. is not a function, because its ordered pairs are all over the place, and the value 4 in the x - value has two values assigned - 0 and 3, which makes it invalid.

B. may be a linear function. Its ordered pairs aren't jumping all over the place.
Both the x and y go up one for one, so the function could be y = x + 3

C. isn't because the x - value 2 has two values. Again, that makes this invalid.

D. is invalid because there is two x - values for 2.

Therefore, the answer is B.

3 0

3 years ago

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Bacteria entering the human body can cause infections and diseases. The human body must respond to fight the bacteria.

Masja [62]

Answer:

d looks like the best option. sorry if its isn't

7 0

3 years ago