All categories

3 years ago

Solve for x in the equation x^2 + 4x - 4 = 8

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

5 0

x^2+4x-4=8

Subtract 8 from both sides: x^2+4x-4-8=8-8

Simplify: x^2+4x-12=0

Solve with the quadratic formula: For a=1,b=4,c=-12: x1,2= -4+- (4^2-4*1(-12))sqrt over 2*1

x= 2 and x=-6

erik [133]3 years ago

3 0

Subtracting 8 from both sides of the equation gives

x^2 + 4x - 12 = 0

(x + 6)(x - 2)= 0

x = -6, 2 answer

You might be interested in

Suppose that $2000 is invested at a rate of 2.6% , compounded semiannually. Assuming that no withdrawals are made, find the tota

EleoNora [17]

Answer:

$2,589.52

Step-by-step explanation:

$A = P(1 + \dfrac{r}{n})^{nt}$

We start with the compound interest formula above, where

A = future value

P = principal amount invested

r = annual rate of interest written as a decimal

n = number of times interest is compound per year

t = number of years

For this problem, we have

P = 2000

r = 0.026

n = 2

t = 10,

and we find A.

$A = $2000(1 + \dfrac{0.026}{2})^{2 \times 10}$

$A = $2589.52$

8 0

3 years ago

Read 2 more answers

Suppose you do an analysis of the starting salaries of 100 recent Lehman graduates. You find that the average starting salary is

madreJ [45]

Answer:

a) (59180,60820)

b) (59020,60980)

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $60,000

Standard Deviation, σ = $5,000

Sample size, n = 100

a) 90% critical values

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.10} = 1.64$

$60000 \pm 1.64(\frac{5000}{\sqrt{100}} ) = 60000 \pm 820 = (59180,60820)$

b) 95% critical values

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$60000 \pm 1.96(\frac{5000}{\sqrt{100}} ) = 60000 \pm 980= (59020,60980)$

5 0

3 years ago

Which pair shows equivalent expressions?

Murrr4er [49]

Answer:

2(2/5x+2)=4x/5+4

Step-by-step explanation:

2(2/5x+2)=4x/5+4

4x/5 +4=4x/5 +4

7 0

3 years ago

Write the numbers in order from greatest to least. 7.982, 7.981, 8.782, 8.981

ziro4ka [17]

Answer:

Step-by-step explanation:

To order decimals is to subtract, line up, and comparing digits.

Comparing digits is a good way to order decimals for greatest to least.

(Most Understood.)

<h3>Comparing Decimals:</h3><h3 />

We could put numbers in any order to compare digits, but you should look closely:

Numbers can<u> Trick You.</u>
<u>Be wise, look closely.</u>
<u>If the digit is 0 for a number, the other number is greater if it's not 0.</u>

Lastly, <u>you (cannot) multiply, divide, add, or subtract.</u>

__________________________________________

First, we pick 2 numbers to compare, maybe 8.782 and 8.981.

We look at the digits for both numbers.

We see 8's, And 7 and 9, 9 is greater, so 8.<u>9</u>81 is the greatest and 8.<u>7</u>82 is the 2nd greatest.

<h3>8.981, 8.782, ?.???, ?.??? Is Our Order so far.</h3>

Our last 2 numbers are 7.981 and 7.982,

We look at the digits for both numbers.

We see 7's, we see 9's, and we see 8's, but 1 and 2. 2 is greater so 7.98<u>2</u> is the 3rd greatest and 7.98<u>1</u> is the least.

<h3>Our order is: 8.981, 8.782, 7.982, 7.981.</h3><h3>We checked it by comparing wisely. (√ Means Check)</h3>

Best of Luck to you.

If you have any questions, feel free to comment below.

-Also if anything is confusing!!

7 0

3 years ago

Given sin b = .88 find angle b in radians

Rama09 [41]

$sin^{-1}0.88=61.642\ degrees$
There are pi radians in 180 degrees. Therefore to convert degrees to radians we need to divide by 180 and multiply by pi, as follows:
$\frac{61.642}{180}\times \pi=1.076\ radians$

7 0

3 years ago