All categories

3 years ago

What are the factors of a polynomial with the following zeroes: -1, ⅔, 2 ?

1 answer:

3 0

When a zero of a polynomial is "c", a factor is (x - c).
If the zero is p/q, a factor will be (x - p/q) or (qx - p).

The appropriate choice here is
d (x+1)(3x-2)(x-2)

You might be interested in

In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4

Varvara68 [4.7K]

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

8 0

3 years ago

Find the value of x AND the value of each angle.

guapka [62]

Answer:

x=63

x+15=78

Step-by-step explanation:

180-102=78

78-15=63

x=63

x+15=78

5 0

3 years ago

1 question, 10 POINTS ( no rude answers please )

klemol [59]

I believe the answer is 54%.

Hope this helps!

8 0

4 years ago

Read 2 more answers

Solve<br>3 tan 8 <-1 for 0 5 0521.

BlackZzzverrR [31]

Answer:

Substitute the given value into the function and evaluate.

3 tan ( 8 ) < − 1 = 0.4216225 < − 1

0 = 0.4216225 < − 1

5 = 0.4216225 < − 1

521 = 0.4216225 < − 1

Step-by-step explanation:

3 0

3 years ago

Does anyone know the answer?

motikmotik

Answer:

We conclude that the area of the right triangle is:

$A\:=p^2-2p-3$

Hence, option A is correct.

Step-by-step explanation:

From the given right-angled triangle,

Base = p+1

Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

$=\frac{1}{2}\left(p+1\right)\left(2p-6\right)$

Factor 2p-6: 2(p-3)

$=\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}$

Divide the number: 2/2 = 1

$=\left(p+1\right)\left(p-3\right)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

$=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)$

$=pp-3p+1\cdot \:p-1\cdot \:3$

$=p^2-2p-3$

Therefore, we conclude that the area of the right triangle is:

$A\:=p^2-2p-3$

Hence, option A is correct.

3 0

3 years ago