Which graph shows the solution set of the inequality x^2+10+16/x-3 >0

Answers

Answer 1

Answer:

$x < - 1.647221 \n x > 0$

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How do you convert a negative fraction into a decimal

Answers

Answer:

You would still divide numerator by denominator, but keep the negative, even as a decimal

Step-by-step explanation:

-5/8 = -0.625

Or another way to think about it (in that case) is dividing -5 by 8. you would end with a negative. Hope this helps!

Just divide the top number of the fraction by the lower number and put a negative symbol in front of the decimal figure.

Example:

-1/4 =. 1divided by 4 = .25 = -.25

What are the factors of 65. Like a factor tree.

Answers

Find the factor of the given number.
Given number = 65
=> 65 * 1
=> 5 x 13
Now, that we have the factors of 65. Let’s create the factor tree:
Factor tree shows the level of division:
Let show how:
=> 65 / 5 = 13
=> 65 / 13 = 5
=> the sum of the prime factors would be:
=> 13 + 5 = 18
The prime divisor of the factor tree 65 is 5 and 13
And the sum divisor of the factor tree 65 is 18
65

5 13

Find the factor of the given number.

Given number = 65

=> 65 * 1

=> 5 x 13

Now, that we have the factors of 65. Let’s create the factor tree:

Factor tree shows the level of division:

Let show how:

=> 65 / 5 = 13

=> 65 / 13 = 5

=> the sum of the prime factors would be:

=> 13 + 5 = 18

The prime divisor of the factor tree 65 is 5 and 13

And the sum divisor of the factor tree 65 is 18

5 13

5( q + 27 ) - -30=95

Answers

STEPS:

First distribute the 5 through the parentheses to get 5q + 135. So the problem now reads 5q + 135 - (-30) = 95.

Now, minus a negative can be changed to plus a positive so - (-30) can be changed to +30 so our equation now reads 5q + 135 + 30 = 95.

Before adding or subtracting anything from both sides of the equation, make sure you simplify the left side as much as possible. Notice that we can add 135 and 30 to get 165 so the left side simplifies to 5q + 165 = 95.

Now we can simply subtract 165 from both sides of the equation to get 5q = -70.

Now simply divide both sides of the equation by 5 to get q = -14.

Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator

Answers

For this case we have the following expression:

$\frac {3} {\sqrt {17} - \sqrt {2}}$

We must rationalize the expression, so we multiply by:

$\frac {\sqrt {17} + \sqrt {2}} {\sqrt {17} + \sqrt {2}}$

So, we have:

$\frac {3} {\sqrt {17} - \sqrt {2}} * \frac {\sqrt {17} + \sqrt {2}} {\sqrt {17} + \sqrt {2}} =\n\frac {3 (\sqrt {17} + \sqrt {2}} {17- \sqrt {17} * \sqrt {2} + \sqrt {17} * \sqrt {2} -2} =\n\frac {3 (\sqrt {17} + \sqrt {2}} {15}$

Thus, the correct option is option B.

Answer:

OPTION B

Answer:

Step-by-step explanation:

To simplify something that looks like $\frac{\text{whatever}}{√(a)-√(b)}$ you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

$√(a)+√(b)$ .

If you had $\frac{\text{whatever}}{√(a)+√(b)}$ , then you would multiply top and bottom the conjugate of $√(a)+√(b)$ which is $√(a)-√(b)$ .

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First: a(a)=a^2

Outer: a(-b)=-ab

Inner: b(a)=ab

Last: b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of $√(17)-√(2)$ is

$√(17)+√(2)$ .

This is the thing we are multiplying and top and bottom.

How do you write
.5
.66
.7
as a fraction?

Answers

ok remember
1st decimal place=tenths=x/10
2nd=hundreths=x/100
3rd=thoustands=x/1000
each place adds a zero

0.5
5 is in tenths place so 5 tenths aka 5/10=1/2

0.66 goes to hundreths so 66/100=33/50

0.7 is also in tenths so 7/10

Please help with these quick

Answers

To determine whether 10a-10c are true or false, you first need to know how to find the volume of the shoebox and the volume of the crate.

The equation for volume is l × w × h where l is the length, w is the width, and h is the height.

So, the volume of the shoebox is

V = l × w × h
V = 12 × 6 × 4
V = 288 cubic inches.

To find the volume of the crate, we simply multiply the volume of one shoebox by 20, as the crate holds 20 shoeboxes.

228 × 20 = 4560 cubic inches.

10a. Each shoebox has a volume of 22 cubic inches. False. The volume is 228 cubic inches.

10b. Each crate has a volume of about 440 cubic inches. False. The volume of each crate is 4560 cubic inches.

10c. If the crate could hold 27 shoeboxes, the volume of the crate would be about 7,776 cubic inches.

For this one, let's do some more math. Since we figured out the volume of a crate holding 20 shoeboxes is 4560 cubic inches, let's do the same thing to find the volume of a crate holding 27 shoeboxes.

228 × 27 = 6156 cubic inches.

False. The volume of a crate holding 27 shoeboxes would be 6156 cubic inches.

11 part A:

Each term above describes the term below, but the term below doesn't necessarily describe the term above.

The choice of terms is :trapezoid, triangle, rhombus, parallelogram

Before we do anything else, let's define our terms, as well as the ones used in the diagram.

Trapezoid - A four sided shape with a pair opposite parallel sides.
Triangle - A shape with three sides.
Rhombus - A shape with four equal straight sides.
Parallelogram - A quadrilateral with two sets of parallel sides.
Quadrilateral - A four-sided shape with four angles.
Square - A four-sided shape with all four sides the same length, and all four angles are the same size.

The first term is quadrilateral. From this, we can determine that the term triangle won't be used at all, as it's a three-sided figure, whereas a quadrilateralis a four-sided figure. This leaves trapezoid, rhombus, and parallelogramas our terms.

Atrapezoid is a quadrilateral, because it has four sides, but it can't be arhombusor parallelogram, so it goes in the first open box.

A parallelogram is a trapezoid, because it has a pair of opposite parallel sides, but it can't be a rhombus, because it doesn't necessarily have all equal sides, so it goes in the second open box.

A rhombus is a parallelogram, because it has two sets of parallel sides, and goes in the third open box.

So, from top box to bottom box, the order the term go is
Quadrilateral
Trapezoid
Parallelogram
Rhombus
Square

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