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castortr0y [4]
3 years ago
11

Question 5 (5 points)

Mathematics
2 answers:
den301095 [7]3 years ago
7 0

Answer:

The answer is prime.

Step-by-step explanation:

x2 – 8x – 12

We need two numbers which are factors of 12 such that their product is -12 and their sum is -8. The factors are 1, 2, 3, 4 and 6 but no two numbers satisfy the requirements of summing up to -8 and product of -12.

Therefore the equation is a prime as it has no factor

We can also check if the equation has a factor using the formula for general quadratic equation of ax² + bx + c = 0, the formula is;

(b² - 4ac)

If the answer is a perfect square only then we can factorize the equation.

In the given equation x² - 8x - 12

b = -8 and c = -12

b²- 4ac = (-8)² - 4(1)(-12) = 64 + 48 = 112

Since 112 is not a perfect square number, we can say there is no factors for the given equation.

vivado [14]3 years ago
5 0

Answer:

(x-9.291)\cdot (x + 1.292)

Step-by-step explanation:

The factors of the given polynomial (x^{2}-8\cdot x - 12) are derived from the General Formula for Second-Order Polynomials:

x = \frac{8 \pm \sqrt{64 - 4\cdot (1)\cdot (-12)}}{2\cdot (1)}

x_{1} \approx 9.291 and x_{2} \approx -1.292

The factors of the polynomial are:

(x-9.291)\cdot (x + 1.292)

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A van drove 241. 92 miles on 10. 8 gallons of gas. How far could the van drive on a full tank of 16. 2 gallons of gas? Drag and
mrs_skeptik [129]

You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

<h3>How to find the distance the van can travel per gallon of gas?</h3>

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \:  gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we  get

\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons  = 16.2 \times 22.4 \: miles = 362.88 \: miles

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

Learn more about division here:

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allochka39001 [22]

Answer:

4a2−4ab+b2

Step-by-step explanation:

(2a−b)2 =(2a+−b)(2a+−b)

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 Sooo our equation =4a2−2ab−2ab+b2

Hoped I helped -

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If angle a measures 64 then what does angle b measure?
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Answer:

b = 26°

Step-by-step explanation:

a ; b = complementary =>

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a = 64°

8 0
3 years ago
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