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labwork [276]
4 years ago
13

Solve for x. 8x^2 - 5 = 11

Mathematics
2 answers:
Mrrafil [7]4 years ago
7 0
X = 1

8x^2 turns to 16x
Add five on each side of the equation, totaling 16.
16x = 16
x = 1
GenaCL600 [577]4 years ago
5 0

Answer:

x =  ±sqrt(2)

Step-by-step explanation:

8x^2 - 5 = 11

Add 5 to each side

8x^2 - 5+5 = 11+5

8x^2 = 16

Divide each side by 8

8x^2 = 16/8

x^2 = 2

Take the square root of each side

sqrt(x^2) = ±sqrt(2)

x =  ±sqrt(2)

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the perimeter of a parallelogram is 72 meter. the width of the parallelogram is 4 meters less than its length. find the length a
xz_007 [3.2K]
"<span>Start by setting up the standard equation for perimeter of a parallelogram, P=2w+2h (these variables of course being width and height). </span>
Now, substitute in what you know...

<span>The problem tells us that width is equal to height minus four. This means that, in order to keep only one variable in this problem, we will write width as h-4. </span>
<span>The problem also tells us that 72 is the perimeter, so we substitute that for P. </span>

72=2(h-4)+2h
<span>Now solve from here. </span>
<span>(Distribute first) </span>
72=2h-8+2h
(Combine like terms)
72=4h-8
80=4h
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6 0
3 years ago
3=m+5 show algebra steps
Ipatiy [6.2K]

Answer:

m=-2

Step-by-step explanation:

3=m+5

Switch sides:

m+5=3

Subtract 5 from both sides:

m+5-5=3-5

m=-2

8 0
3 years ago
Read 2 more answers
Plzzzz HELP ASAP <br><br> IMAGE ABOVE THXXXX^^
romanna [79]

Answer:

9

Step-by-step explanation:

3*6 would be 18 for a rectangle.

the triangle is basically a rectangle cut in half diagonally, so it's (3*6)/2

8 0
3 years ago
9. The formula V=lwh is the volume formula for a rectangular prism. Find the length (l) of a prism with volume (V) 1200 cm³, wid
IgorC [24]

Answer:

C. 10cm

Step-by-step explanation:

First we can rearrange the equation to solve for length (l):

V = lwh

Divide both sides by wh:

l = V/(wh)

Substitute in known values:

l = 1200/(15x8)

l = 1200/120

l = 10cm

Hope this helped!

3 0
3 years ago
According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h
shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 mortgages

            r = number of success = exactly one

           p = probability of success which in our question is % of U.S.

                  mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ Binom(n=8, p=0.08)

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

                 P(X = 1)  = \binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}

                               = 8 \times 0.08 \times 0.92^{7}

                               = 0.357

<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

4 0
3 years ago
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