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3 years ago

Solve for x of (8x+30)°(4x+18)°

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

$(8x+30) ^{o}+(4x+18)^{o} =180^{o}\\ \\ 8x+30 ^{o}+ 4x+18 ^{o} =180^{o}\\ \\12x +48^{o}=180^{o} \ \ |-48^{o}\\ \\12x +48^{o}-48^{o}=180^{o}-48^{o}\\ \\12x= 132^{o}\ \ /:12\\ \\x=\frac{132^{o}}{12}\\ \\x=11^{o} \\ \\ \\ Answer : C. 11$

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Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)

Rom4ik [11]

Answer:

Step-by-step explanation:

Given : $p(x)=x^{3} +6x^{2} -7x-60$

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, $\text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}$

Since constant term = -60

Leading coefficient = 1

$\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}$

$\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}$

Thus the possible roots are $\pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60$

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0. All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is $x^{2} +x-12$

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

$x^{2} +x-12=0$

$x^{2} +4x-3x-12=0$

$x(x+4)-3(x+4)=0$

$(x-3)(x+4)=0$

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)

3 0

3 years ago

Read 2 more answers

Simplify: (3x^3+2x-3)-(4x^3-x^2+x

ad-work [718]

Answer: -x^3 - x^2 + 3x - 3

Glad I could help :D

Step-by-step explanation:

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2 years ago

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NO LINKS PLS

velikii [3]

Answer:

The answer is 15 units.

Step-by-step explanation:

If you count the number of units from point A up to the same Y coordinate as point B, the amount of units is 9.

Then, the number of units from that point over to point B is 12 units.

Using this information, you can use the Pythagorean theorem to find that 9 squared is 81, 12 squared is 144, add 144 and 81 to get 225, and then you can find the square root of 225 which equals the answer of 15 units.

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3 years ago

PLEASE HELP BRAINLEST TO WINNER!!!!!!!

choli [55]

(-1, -5)

x-axis is to flip the y - coordinates

y-axis is to flip the x - coordinates

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2 years ago

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IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identi

riadik2000 [5.3K]

Answer:

IQ scores of at least 130.81 are identified with the upper 2%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that $\mu = 100, \sigma = 15$