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3 years ago

Which of the following is a factor of 6x2 + 2x − 21?

1 answer:

6 0

ANSWER

None of the above

EXPLANATION

The quadratic expression given to us is

$6 {x}^{2} + 2x - 21$

If the discriminant of this quadratic expression is a perfect square, then it has rational factors,

If we compare the above expression to the general quadratic expression,

$a {x}^{2} + bx + c$
We have,
$a=6,b=2,c=-21$

The discriminant is given by,

$D = {b}^{2} - 4ac$

Thus

$D = {2}^{2} - 4(6)( - 21)$

$D = 4 + 504 = 508$

Since 508 is not a perfect square, the expression

$6 {x}^{2} + 2x - 21$
has no rational factors.

Therefore D is the correct answer.

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Find the value of x and y in the parallelogram below.

Delicious77 [7]

In a parallelogram, the opposite angles are equal and the sum of the angles is 360 degrees.

W = Z and Y = X
3y = 3x
Y = X = y
3y + y + 3x + x = 360
3x + x + 3x + x = 360
8x = 360
x = 360/8 = 45

Therefore, x = 45; y = 45

7 0

3 years ago

75=6·w the solution is w=?

Ber [7]

I think answer should be 450 please give me brainlest let me know if it’s correct or not okay thanks bye

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2 years ago

Read 2 more answers

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

Let $\hat p$ = sample proportion

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = true proportion = 0.04

n = sample size = 469

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be less than 0.03 is given by = P( $\hat p$ < 0.03)

P( $\hat p$ < 0.03) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } }$ ) = P(Z < -1.27) = 1 - P(Z $\leq$ 1.27)

= 1 - 0.89796 = 0.10204

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

5 0

3 years ago

A triangle has two side of length 3 and 7. The third side of this triangle must not be shorter than (blank) or longer than (blan

Marina86 [1]

Answer:

The sum of two side lengths of a triangle must be greater than the length of the third.

So, if two side lengths are 3 and 7, the length of the third side must be less than 10 units.

However, it cannot be shorter than 4 units, as 3 + 4 = 7.

So your answer is: The third side of this triangle must not be shorter than 4 or longer than 10

Let me know if this helps!

5 0

2 years ago

Polynomials!?!? What is the product of -2x^3+x-5 and x^3-3x-4... Is the product of -2x^3+x-5 and x^3-3x-4 equal to the product o

zaharov [31]

The product of -2x^3+x-5 and x^3-3x-4 would look like this before simplification:

-2x^6 + 6x^4 - 8x^3 + x^4 - 3x^2 - 4x - 5x^3 + 15 x^2 + 20

Now combine all the like terms. For example, 6x^4 + x^4 = 7x^4.

Write the product in the simplest possible form, which involves combining like terms and arranging them in descending order by power of x.

5 0

2 years ago