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3 years ago

Express the product in simplest form 8/2x+8 * x^2-16/4

1 answer:

3 0

From formula a^2-b^2 = (a-b)(a+b) :
x^2 - 16 = (x-4)(x+4)

In 2x+8 factor out "2", you'll reach 2(x+4). So:

$\frac{8}{2x+8} \cdot \frac{x^2-16}{4}=\frac{8(x-4)(x+4)}{2(x+4) \cdot 4}= \frac{8(x+4)(x-4)}{8(x+4)}= \boxed{x-4}$

(In finish you delete 8(x+4) from nominator and denominator)

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The weight of each cookie in a batch of a certain type of commercially produced cookie follows an approximately normal distribut

melisa1 [442]

Answer:

Around 34.14% of the cookies are between 11.32 and 11.35 grams.

Step-by-step explanation:

In a normal distribution around 68.28% of the values are around minus one to one standard deviation. In this case we want to know the percentage of values that are between zero and one standard deviation, therefore the percentage of values that are in that range is given by 68.28% / 2 , which is equal to 34.14%.

7 0

3 years ago

Please help me ASAP!!! Solve for y. −4.2y+2.1>−2.52

Maru [420]

Answer:

hope it helps you

Step-by-step explanation:

https://mathsolver.microsoft.com/en/solve-problem/-4.2y%2B2.1%20%3E%20%20-2.52

5 0

3 years ago

Read 2 more answers

Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.

Airida [17]

ANSWER:

The slope intercept form of the required line is y = -2x + 20.

SOLUTION:

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line passes through (7,-6).

We need to find the slope intercept form of perpendicular line of given line.

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is $\frac{1}{2}$ , by comparing with the general form of slope intercept form.

$\frac{1}{2} \times$ slope of required line = -1

Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

y – (-6) = -2(x – 7)

y + 6 = -2x + 14

y = -2x + 20

the above equation is in the form of slope intercept form of a line equation

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

6 0

3 years ago

Please help, simplify the polynomial 14x^2+4+3x-12x^2-3+11x

Misha Larkins [42]

When simplifying you want to combine like terms so 14x²-12x² will equal 2x², now we move on to X, where 3x+11x will result in 14x, last we add up numbers without X so 4-3 is 1.
The Answer will end up being 2x²+14x+1 (B)

4 0

3 years ago

The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _

Gelneren [198K]

Answer:

34 and 17

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then y will represent the second number.

b) What is the equation that represents the above situation?

x = 2y
x + y = 51

c) Solve the equation.

Substitute x in the second equation and solve for y:

x + y = 51
2y + y = 51
3y = 51
y = 51/3
y = 17

Then find x

x = 2y = 2*17 = 34

4 0

3 years ago

Read 2 more answers