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Alenkinab [10]
3 years ago
9

What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ?

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer: (x³ - 2x² - 11x + 12)

Step-by-step explanation:

Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)

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Need help in solving this area of the shape attached
dybincka [34]

Answer:

105 cm squared

First find the area of the rectangle

length x width = area

6 x 15 =90

Now find area of triangle

subtract 11-6 and 15-9 to get the dimensions for the triangle

5 and 6 are the dimensions

Length x height / 2 = area of triangle

5 x 6 = 30

30 / 2 = 15

add the areas together

90 + 15 = 105

105 cm squared

hope this helps

Step-by-step explanation:

7 0
2 years ago
What is the name of the place value of 9 in 199
Sliva [168]

The name of place value of 9 in 199 is ones.

The second 9 has a value of tens.

The number 1 has a place value of hundreds.

8 0
3 years ago
Read 2 more answers
Simplify the expression -3 divided by -2/5.
Romashka [77]
You can either convert -3 into a fraction, or convert -2/5 into a decimal so you can solve this.
If you decide to convert -3, into a fraction, it would be -3/1, and you'd have to multiply that by the reciprocal of -2/5.
So, you'd have -3/1(-5/2)=15/2, which can be simplified to 7 1/2.
If you decide to convert -2/5 into a decimal, you would get -0.4. You would then divide -3 by -0.4, which is equal to 7.5.
Both 7.5 and 7 1/2 are correct answers, and if you were to convert 7.5 into a fraction and 7 1/2 into a decimal, you would notice that they are the same number, but in different forms.
5 0
3 years ago
In a sample of 150 cars, 18 cars failed a safety inspection. The sampling method had a margin of error of 0.02
mestny [16]

Answer:  

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

Step-by-step explanation:  

Total number of cars = 150

Cars that failed the safety inspection = 18

The proportion is given by

p = 18/150

p = 0.12

p = 12%

The confidence interval is given by

p ± margin of error

Where margin of error is 0.02

0.12 ± 0.02

Lower limit = 0.12 - 0.02

Lower limit = 0.10

Lower limit = 10%

Upper limit = 0.12 + 0.02

Upper limit = 0.14

Upper limit = 14%

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

7 0
2 years ago
State whether the number is a solution to the given inequality.
Andrej [43]

Answer:

no, it is not a solution to the given inequality

Step-by-step explanation:

4 0
3 years ago
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