Simplify the product using FOIL. (2x – 7)(5x 5)

Answers

Answer 1

Answer:
FOIL is an 'acronym'. It helps you remember how to multiply
two binomials ... like (2x-7) and (5x+5) .

FOIL stands for "First, Outside, Inside, Last". Here's how it's used
to multiply these particular two binomials:

   (2x - 7) (5x + 5)

First: (2x) (5x) = 10x²

Outside: (2x) (5) = 10x

Inside:   (-7) (5x) = -35x

Last: (-7) (5) = -35

Add them all together, and you have the product:

   10x² + 10x -35x -35

Simplify the sum: 10x² - 25x -35

   or 5(x² - 5x - 7) .

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Solve x/ x-2 + x+2/ x >2

Answers

$(x)/(x - 2) + (x + 2)/(x) \ \textgreater \ 2$
$(x(x))/(x(x - 2)) + ((x - 2)(x + 2))/(x(x - 2)) \ \textgreater \ 2$
$(x^(2))/(x(x - 2)) + (x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2$
$(x^(2) + x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2$
$(2x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2$
$2x(x - 2) \ \textgreater \ 2x^(2) - 4$
$2x^(2) - 4x \ \textgreater \ 2x^(2) - 4$
$-4x \ \textgreater \ 4$
$x \ \textgreater \ -1$

The world's tallest unsupported flagpole is believed to be a 282-ft-tall steel pole located in Surrey, British Columbia. During the course of a year, the longest shadow cast by the pole is 359 ft. long. Find the angle of depression formed.

Answers

Answer:

As shown in the attached figure we have

$tan(\alpha )=(282)/(359)\n\n\therefore \alpha =tan^(-1)((282)/(359))\n\alpha =37.95^(o)$

Now we have $\alpha =\lambda$

Thus angle of depression is $37.95^(0)$

A random sample of 100 undergraduate students at a university found that 78 of them had used the university library’s website to find resources for a class. What is the margin of error for the true proportion of all undergraduates who had used the library’s website to find resources for a class?

Answers

From the given values, it seems as if the missing key to value here is not the margin of error, but instead, the standard error. The formula for standard error is as follows:

SE = sqrt ( x(n-x)/n^3 )

Substituting the given values:

SE = sqrt ( 78(100-78)/100^3)) = 0.04

the answer is A on plato

One winter the cost of bananas cost $0.80 per lb. The next winter the cost was$1.05 per lb. What was the percentage increase?

Answers

so assume .8=100%
1.05-0.8=iincrease=0.25

find what .25/.8=
.25/.8=2.5/8=(use calculator)=0.3125
percent means parts out of 100
so
0.3125/1 times 10/10=3.125/10 times 10/10=31.25/100
the percentage increase was 31.25%

Well. The percentage increase would be 30%.

Its would have to be rounded. If you time .80 by the decimal of 30 percent, which is .30 you will receive .24, that will equal out to 1.04.

.80 x .30= .24

.80 + .24 = $1.04

What is the value of a in the equation 3a + b = 54, when b = 9?

Answers

If you would like to solve the equation 3 * a + b = 54, when b = 9, you can calculate this using the following steps:

b = 9
3 * a + b = 54
3 * a + 9 = 54
3 * a = 54 - 9
3 * a = 45 /3
a = 45/3
a = 15

The correct result would be 15.

$3a+b=54\n\n Substitute\ b\ =\ 9\ into\ the\ equation.\n\n3a+(9)=54\n\nSubtract\ 9\ on\ both\ sides.\n\n3a=45\n\nDivide\ by\ 3\ on\ both\ sides.\n\n{\boxed{a=15}$