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astraxan [27]
3 years ago
8

If f(x)=x^3-9x^2+11x+21f(x)=x 3 −9x 2 +11x+21 and x-3x−3 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebra

ically.

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

x = -1, 3, and 7

Step-by-step explanation:

Using grouping:

f(x) = x³ − 9x² + 11x + 21

f(x) = x³ − 9x² + 18x − 7x + 21

f(x) = x (x² − 9x + 18) − 7 (x − 3)

f(x) = x (x − 6) (x − 3) − 7 (x − 3)

f(x) = (x² − 6x) (x − 3) − 7 (x − 3)

f(x) = (x² − 6x − 7) (x − 3)

f(x) = (x + 1) (x − 7) (x − 3)

To use long division, see the picture.

The zeros are x = -1, 3, and 7.

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Which statement makes the open sentence 12+3x=30
Sergio [31]
12 + 3x = 30 // what is x?
3x = 18
x = 6

6 0
3 years ago
The equation is y = -5(3^x)
balandron [24]

Answer:

C

Step-by-step explanation:

Since the number outside of the parentheses is -5, the negative factor means that the line is reflected across the x-axis.

3 0
3 years ago
Read 2 more answers
EASY MATH!!! GIVING BRAINLIEST!!
musickatia [10]

Answer:

55

Step-by-step explanation:

So lets take our 50 dollars.

Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.

Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:

50*1.05

=

52.5

52.5*1.05

=

55.25

So your answer is 55 dollars(rounding down).

Hope this helps!

4 0
2 years ago
Which number is between 6 1/8 and /64?
gayaneshka [121]
I think the answer is D but I’m not sure
6 0
3 years ago
1. If a side started out with a side length of 11 and ended with a side length of 71 what is the dilation's scale factor? Write
jeka57 [31]

Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

6 0
1 year ago
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