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4 years ago

1. Choose the best definition for the term: factor (1 point)

Mathematics

2 answers:

Anettt [7]4 years ago

7 0

First option is correct

IRISSAK [1]4 years ago

4 0

The first one is correct because a factor is two numbers that you can multiply together to get your answer.

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Find all the zeros of 2x4+x3-14x2-19x-6 two of its zeros are -2 and -1

GalinKa [24]

Answer:

$-2,\ -1,\ -\dfrac{1}{2},\ 3.$

Step-by-step explanation:

Consider polynomial $2x^4+x^3-14x^2-19x-6.$

If x=-2 is its zero, then you can divide the polynomial $2x^4+x^3-14x^2-19x-6$ by $x+2$ and get

$2x^4+x^3-14x^2-19x-6=(x+2)(2x^3-3x^2-8x-3).$

If x=-1, then the polynomial $2x^4+x^3-14x^2-19x-6$ can be rewritten as

$2x^4+x^3-14x^2-19x-6=(x+2)(x+1)(2x^2-5x-3).$

The quadratic polynomial has roots

$x_{1,2}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot2\cdot(-3)}}{2\cdot 2}=\dfrac{5\pm \sqrt{25+24}}{4}=\dfrac{5\pm \sqrt{49}}{4}=3,-\dfrac{1}{2}.$

Then the polynomial $2x^4+x^3-14x^2-19x-6$ has zeros $-2,\ -1,\ -\dfrac{1}{2},\ 3.$

7 0

3 years ago

A sample of 900900 computer chips revealed that 49%49% of the chips do not fail in the first 10001000 hours of their use. The co

dedylja [7]

Answer:

The proportion of chips that do not fail in the first 1000 hours of their use is 52%.

Step-by-step explanation:

The claim made by the company is that 52% of the chips do not fail in the first 1000 hours of their use.

A quality control manager wants to test the claim.

A one-proportion z-test can be used to determine whether the proportion of chips do not fail in the first 1000 hours of their use is 52% or not.

The hypothesis can be defined as:

H₀: The proportion of chips do not fail in the first 1000 hours of their use is 52%, i.e. p = 0.52.

Hₐ: The proportion of chips do not fail in the first 1000 hours of their use is different from 52%, i.e. p ≠ 0.52.

The information provided is:

$\hat p=0.49\\n=900\\\alpha =0.02$

The test statistic value is:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.49-0.52}{\sqrt{\frac{0.52(1-0.52)}{900}}}=-1.80$

The test statistic value is -1.80.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value as follows:

$p-value=2\times P(Z$

*Use a z-table.

The p-value = 0.07186 > α = 0.02.

The null hypothesis was failed to be rejected at 2% level of significance.

Conclusion:

The proportion of chips that do not fail in the first 1000 hours of their use is 52%.

8 0

3 years ago

10^2+12^2+14^2+......+26^2=??

Kazeer [188]

Answer:

3156

Step-by-step explanation:

Used formula:
(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)

--------

10²+12²+14²+......+26² =
(2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
4*(5²+6²+7²+...+13²) =
4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
4*(1/6*13*14*27- 30) =
4*(819 - 30) =
4*789 =
3156

3 0

4 years ago

Amir and Anna started driving from the same location. Amir 18 miles north and 18 miles west. Anna drove east and 18 miles north.

omeli [17]

They both drive 18 miles north, so if amir goes 18 miles west and Anna goes East, it is just 32 minus 18: she drove 12 miles east.

4 0

4 years ago

LOOK AT THE PICTURE BELOW

Katyanochek1 [597]

Answer:

The area of the rectangle is 40 and the area is the triangle is 20 therefore, the area of the shape is 60

Step-by-step explanation:

Rectangle:

8cm x 5cm = 40cm

Triangle (1/2bxh)

The base of the triangle would be 8 cm as the top and the bottom of the rectangle is the same width. The height was given to be 5 cm (note the height is the dotted line) Therefore the area of the triangle is half the base which is (8×1/2 = 4) times the height (5); which is 20.

8 0

2 years ago

Read 2 more answers