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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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Which function is graphed?
Alexandra [31]

Hey there! :)

Answer:

C. {x² + 4, x < 2

    {-x + 4   x ≥ 2

Step-by-step explanation:

This is a piecewise function, where the two equations are different. They are:

y = x²+ 4

y = -x + 4

The function x² + 4 is graphed where x < 2. (< is used because the circle is open)

The function -x + 4 is graphed where x ≥ 2. (≥ is used since the endpoint is closed)

Therefore, the correct answer is:

C. x² + 4, x < 2

   -x + 4   x ≥ 2

5 0
3 years ago
Confused ???????????
suter [353]
The last one because its like turning it into a fraction but your putting as a desamile or how ever you spell it
4 0
3 years ago
A potato chip company makes potato chips in two flavors, Regular and Salt &amp; Vinegar. Riley is a production manager for the c
tiny-mole [99]

Answer:

(a) H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.

Step-by-step explanation:

We formulate the

H0: μ1=μ2; null hypothesis that the two means are equal and alternate hypothesis that the two mean are not equal.

Ha:μ1≠μ2 Two tailed test

Test statistic used is

t= x1`-x2` / s√n as the variances are equal and sample size is same

T value for 9 degrees of freedom for two tailed test at α = 0.05 is 2.26

P- value for t test for 9 degrees of freedom is 0.125 from the table.

Hence only a is correct .

4 0
3 years ago
Which exponential function goes through the points (1,8) and (4,64)?
vova2212 [387]
Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4 
64 = 4(16) 
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.


Your answer is B<span>) f(x)=2(4)^x</span>
4 0
3 years ago
7/15 divided by 3/10
Yuliya22 [10]

Answer:

i think thats my answer

Step-by-step explanation:

1 5/8

5 0
3 years ago
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