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3 years ago

Find an integer value of b that makes x^2 + bx - 81 factorable

Mathematics

1 answer:

m_a_m_a [10]3 years ago

3 0

x² + bx - 81

there are 2 formula that fit this equation :

>> x² - a² = (x+a)(x-a)

>> x² + 2ax² + a² = (x+a)(x+a)

because the last value of our equation is negative value therefore we have to use the first formula >> x² - a² = (x+a)(x-a)

step:

x² + bx - 81

x² + bx - 9²

because we have to follow the first formula x² - a² therefore bx = 0

x² + bx - 9²

bx = 0

b = 0

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What is a prime or composite number?

melomori [17]

-A prime number is a whole numbergreater than 1, whose only two whole-number factors are 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

- A whole number that can be divided evenly by numbers other than 1 or itself. Example: 9 can be divided evenly by 3 (as well as 1 and 9), so 9 is acomposite number. But 7 cannot be divided evenly (except by 1 and 7), so is NOT a composite number (it is a prime number).

6 0

3 years ago

Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premiu

AnnZ [28]

Premium rates are usually for premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

<h3>How to calculate the total annual premium for $x ?</h3>

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

$\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\$

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

$\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun$

Thus, Jade's annual premium for a 10 year policy is given by Option b: $1,202

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3 years ago

Billy received a raise after his first year on the job to $45,000 from his initial salary of $42,400. What was his real raise st

solong [7]

Billy get 5.9% raise after completing first year.

<h3>What is PERCENTAGE?</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Here, Billy's initial salary = $ 42,500

After raise, salary become $ 45,000

Change in salary = Raised salary - Initial salary

= 45000 - 42500

= $ 2500

% Change = change / initial salary X 100

= 2500 / 42500 X 100

= 0.0589 X 100

≈ 5.9 %

Thus, Billy get 5.9% raise after completing first year.

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7 0

2 years ago

2<br> Find the slope from the 2 points.<br> (-12,-9) and ( 18, 6)<br> -2<br> -1/2<br> 2<br> 1/2

lawyer [7]

Step-by-step explanation:

the slope of a line is the ratio y/x.

that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.

so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).

therefore, the slope is

15/30 = 1/2

8 0

3 years ago

Please help me quickly

hichkok12 [17]

Answer:

Convenience sampling

Step-by-step explanation:

5 0

3 years ago

Find an integer value of b that makes x^2 + bx - 81 factorable​

Find an integer value of b that makes x^2 + bx - 81 factorable