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3 years ago

Solve this quadratic equation by completing the square. (2x^2 = -8x + 45)

1 answer:

8 0

$(2x^2 = -8x + 45) \\ \\ 2x^2 + 8x - 45 = 0 \\ \\ x = \frac{-8+2 \sqrt{106} }{4} , \frac{-8-2 \sqrt{106} }{4} \\ \\ x = - \frac{4- \sqrt{106} }{2} , - \frac{4+ \sqrt{106} }{2} \\ \\ Answer: x = - \frac{4- \sqrt{106} }{2} , - \frac{4+ \sqrt{106} }{2}$

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Which number line shows the solution set for |p-3|=9?

Mademuasel [1]

Answer:

Option b

$p = -6$ or $p = 12$

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function $f(x) = |x|$ x> 0 for all real numbers.

Then the equation:

$|p-3| = 9$ has two cases

$(p-3) = 9$ if $h > 3$ (i)

$-(p-3) = 9$ if $h < 3$ (ii)

We solve the case (i)

$p = 9 + 3\\p = 12$

We solve the case (ii)

$-p +3 = 9\\p = 3-9\\p = -6$

Then the solution is:

$p = -6$ or $p = 12$

3 0

3 years ago

Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p

vredina [299]

The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

Beginning Interest Payment Ending Balance

1st month sh. 100,000 sh. 1,000 sh. 10,000 sh. 91,000

2nd month sh. 91,000 sh. 910 sh. 10,000 sh. 81,910

3rd month sh. 81,910 sh.819 sh. 10,000 sh. 72,729

4th month sh. 72,729 sh. 727 sh. 10,000 sh. 63,456

5th month sh. 63,456 sh. 636 sh. 10,000 sh. 54,092

6th month sh. 54,092 sh. 541 sh. 10,000 sh. 44,633

7th month sh. 44,633 sh. 446 sh. 10,000 sh. 35,079

8th month sh. 35,079 sh. 351 sh. 10,000 sh. 25,430

9th month sh. 25,430 sh. 254 sh. 10,000 sh. 15,684

10th month sh. 15,684 sh. 157 sh. 10,000 sh. 5,841

11th month sh. 5,841 sh. 58 sh. 5,899 sh. 0

Total interest paid = sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

#SPJ1

8 0

2 years ago

Find the measure of angle A (please help!!!)

mel-nik [20]

Answer: 41 degrees

Step-by-step explanation:

so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:

i rewrote it and removed the parentheses.

4x + 1 + 4x + 19 = 100

then, i collected like terms and calculated it.

8x + 20 = 100

then, i moved the constant to the right.

8x = 100 - 20

then, i simply calculated it.

8x = 10

solution: x = 10

so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A

40 + 1 = angle A, hence angle A = 41 degrees.

7 0

2 years ago

The rectangle below is enlarged using a scale factor of 1.5. What will be the new length and width of the rectangle?

Likurg_2 [28]

Answer: length = 4.5 m, width = 3 m

Step-by-step explanation:

When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.

length = 3 * 1.5 = 4.5 m

width = 2 * 1.5 = 3 m

5 0

3 years ago

Which equation is not equivalent to the formula r = st?

maksim [4K]

We are given the formula r = st. We evaluate each option to know the correct answer.

A.) S = r/t
r = st

B.) t = r/s
r = st

C.) s = t/r
r = t/s

<span>D.) r = ts
</span>r = st

Therefore, the correct answer among the choice given is option C. It is not equivalent to the formula.

5 0

3 years ago

Read 2 more answers