Simplify completely x2 + 4x - 45/x2 +10x+9 and find the restrictions on the variable.

Answers

Answer 1

Answer:

The correct answer is,

[tex] {x}^{2} + 14x - \frac{45}{ {x}^{2} } + 9[/tex]


Related Questions

Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.

Answers

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]

FAST PLEASE A school assembly had 98 students in attendance, and 50% of them were first-graders. How
many first-graders were at the assembly?

Answers

Answer:

49

Step-by-step explanation:

50% is basically half so divide 98 by 2

Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.

Answers

Answer: There is a strong association between age and weight.

Step-by-step explanation:

The correlation coefficient (r) is used to describe the relationship between two variables.

[tex]-1\leq r\leq1[/tex]

If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.

Here,  Variables: Age and weight.

correlation coefficient = 0.512

That means, there is a strong association between age and weight.

help ASAP
10 POINTS
find surface area and volume​

Answers

Cylinder (A):
-Surface area: adding all areas of all faces of the shape.

*10 x 6= 60m^3
*3.14 x 3^2 = 28.274 m^2. Then We times it by 2 since we have 2 circles. Which equals to 56.55m^2

Total surface area: 60 + 56.55 = 116.55m^2

-Volume: 3.14 x r^2 x h, then substitute.

*3.14 x 3^2 x 10 = 282.74m^3

(B):
-surface area:

*7 x 11= 77
*5 x 11 = 55
*11 x 11 = 121
*7 x 5 = 35/2 = 17.5 > then again we times it by 2 cuz we have 2 triangles. Which equals to 35.

Total surface area: 77 + 55 + 121 + 35 = 288 cm^2

-Volume:
*7 x 5 x 11 = 385 cm^3

Make sure to check the units!!!
Hope this helped :)

The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
a. 3x - 4
b. 4 - 3x
c. 4x - 3
d. 3x + 4
e. 3 - 4x

Answers

a) 3x - 4

Yada yada yada

At Manning's favorite ice cream shop, a customer can have a cake or sugar cone, vanilla, chocolate, or strawberry ice cream, and chocolate or rainbow sprinkles. How many different ice cream cones can be ordered if the customer chooses 1 cone, 1 type of ice cream, and 1 type of sprinkles?

Answers

Answer:

12

Step-by-step explanation:

2-cones

3-ice cream flavors

2-sprinkles

2 x 3 x 2 = 12

plz mark brainliest :)

When the following fraction is reduced, what will be the exponent on the n?

Answers

The answer will be 4

help plz///////...............
\

Answers

Answer:

3/4

Step-by-step explanation:

any thing in the form of y=mx+x,

mx is the slope

Write the equation in slope-intercept form. y=7(x+2)+3x
A. y=10x+14
B. y=−10x+14
C. y=9x+15
D. y=−9x+15

Answers

Answer: y = 10x+14  (choice A)

===================================

Work Shown:

y = 7(x+2)+3x

y = 7x+7*2+3x ..... distribute

y = 7x+14+3x

y = (7x+3x)+14

y = 10x+14

This is in y = mx+b form with m = 10 as the slope and b = 14 as the y intercept.

Answer: The answer is A (y=10x+14)

11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles

Answers

Answer: B

Step-by-step explanation:

It will be B-70 because 14x5=70 hope this helps

The system of equations y = negative 3 x + one-half and y = one-fifth x minus 1 and four-fifths is shown on the graph below.

What is a reasonable estimate for the solution?
(0.7, –1.7)
(–1.7, 0.7)
(1.4, –3.3)
(–3.3, 1.4)

Answers

Answer:

the -1,17,0.7 but if i get it wrong i can give u free points

Step-by-step explanation:

Answer:

-1,17,0.7

Step-by-step explanation:

A square is defined to be a quadrilateral with four congruent sides and four right
angles. Additionally, squares have two pairs of parallel sides,
Choose all of the quadrilaterals that accurately complete the following statement:
A square is a special

Answers

Answer:

Step-by-step explanation:

a square is a special rectangle and a parallelogram , and a rhombus

Please help! I will give you points!

Answers

Answer:

the slope line that passes through the point is 4/5

it’s e, three over two

In Steven's grade, 12 students are enrolled in health and 48 students are not. What percentage of the students in the school are enrolled in health?​

Answers

Answer:

20%

step-by-step way

If the angle tis 42 and RS is 9 find QS. Round to the nearest tenth.
Q
R

Answers

Answer:

QS is 12.1

Step-by-step explanation:

9 / sin 48 = QS / sin 90

QS = 9 / sin 48 = 12.1

Romeo will roll a 6 sided number cube numbered 1-6 what is the probablility of rolling an odd number on the first roll and then number 4 on the second roll. a 1/12. b 1/6. c 1/4 d 1/3​

Answers

Answer:

D

Step-by-step explanation:

Answer:

[tex]a.\: \frac{1}{12}[/tex]

Step-by-step explanation:

The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.

The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.

Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].

y - 6 + x; use x = 6, and y = -2

Answers

Answer:

If you want y-6+x solved, it's -2

Step-by-step explanation:

Substitute 6 for x and -2 for y and you get (-2 - 6 + 6 =?). -2 - 6 = -8. -8 +6 = -2.

Simple way to do this is the given -6 and the 6 cancel out and that leaves the -2 from the y.

can someone please teach me how to find the value of x ?

Answers

Answer:

The value of x is approximately 13.58

Step-by-step explanation:

Pls hlp<3 Given ΔBCD ~ ΔEFG. Find the length of BC.

Answers

Answer:

120

Step-by-step explanation:

180-35-25=120

or

35+25=60

180-60=120

Answer:

BC = 200/7 ≈ 28.57

Step-by-step explanation:

Set up a proportion to solve for the missing side length.

BC/CD = FE/EG

BC/25 = 16/14

BC = 16/14 · 25

BC = 200/7 ≈ 28.57

Distance around an unmarked circle can be measured (always, sometimes, never)

Answers

Answer:

never

Step-by-step explanation:

:))

Answer:

i think answer is never

Step-by-step explanation:

never

if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180

Answers

Answer:

The answer is 80 :)

Step-by-step explanation:

Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15​

Answers

Answer:

b.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Roger biked 30 miles in 2 hours. Write this rate as a unit rate.​

Answers

Answer:

15 miles an hr or 15miles/1 hour

Please help me I will mark you BRAINLIST

Answers

Answer:

probably 300

Step-by-step explanation:

I have no idea I'm in 6 grade sorry

The following dot plot shows the number of
players at each table in Bill's Bingo Hall. Each
dot represents a different table.
.
:
0 1 2 3 4 5 6 7 8
Number of players
What is the highest number of players at a
table?
players

Answers

Answer:

0

Step-by-step explanation:

Please help ASAP !!

Answers

Answer: surface area is 215.27; volume is 297.1

Step-by-step explanation:

you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3

What is the approximate length of the missing side in the triangle below?

13.9 mi.
19.0 mi.
21.3 mi
25.4 mi

Answers

Answer:

[tex]21.3\:\mathrm{mi}[/tex]

Step-by-step explanation:

The Law of Cosines is given as the following:

[tex]c^2=a^2+b^2-2ab\cos C[/tex].

Plugging in given values and solving, we get:

[tex]c^2=15^2+18^2-2\cdot 15\cdot 18\cdot \cos 80^{\circ},\\c\approx \fbox{$21.3\:\mathrm{mi}$}[/tex]

Answer:

C: 21.3

Step-by-step explanation:

b = √a2 + c2 - 2ac·cos(B) = 21.33612

Which of the following describes a simple event?

A. Rolling a die and tossing a coin

B. drawing a card from a deck of cards and rolling a die

C. spinning a spinner

D. tossing a coin 3 times

Answers

c. spinning a spinner

Option D is correct, tossing a coin 3 times is a simple event.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

A simple event is a single outcome or result of an experiment or probability experiment.

In option D, the simple event is tossing a coin once and getting either a heads or a tails.

Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).

However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.

In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.

Hence, Option D is correct, tossing a coin 3 times is a simple event.

To learn more on probability click:

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Anna is selling boxes of cookies and tubs of popcorn for a Student Council fundraiser. On Monday, she made $40 selling 4 boxes of cookies and 2 tubs of popcorn. On Tuesday, she made $35 selling 1 box of cookies and 3 tubs of popcorn.

Write a system of equations to represent the cost of a box of cookies, x, and the cost of a tub of popcorn, y.

Answers

Answer:

5 boxes of cookies and 5 tubs of popcorn = $75

Step-by-step explanation:

To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.

The solution is

The cost of box of cookies x = $ 5

The cost of tub of popcorn y = $ 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of cookies be = x

Let the cost of popcorn be = y

And ,

On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn

Substituting the values in the equation , we get

4x + 2y = 40   be equation (1)

And ,

On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn

Substituting the values in the equation , we get

x + 3y = 35   be equation (2)

On simplifying both equations , we get

Multiply equation (2) by 4 , we get

4x + 12y = 140   be equation (3)

Subtracting equation (1) from equation (3) , we get

10y = 140 - 40

10y = 100

Divide by 10 on both sides of the equation , we get

y = $ 10

So , the cost of tub of popcorn is $ 10

Substituting the value of y in equation (2) , we get

x + 3y =  35

x + 30 = 35

Subtracting 30 on both sides of the equation , we get

x = $ 5

So , the cost of box of cookies is $ 5

Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10

To learn more about equations click :

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Find the solution of these two equations. Y=1/5x-7 and y=-x-1

Answers

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

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