Explain how to simplify the rational expression x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8. (be sure to include the simplified rational expression)

Answers

Answer 1

Answer:

267x2 -8x -8 where

x=- 4± 2√ 538/267

Step-by-step explanation:

x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8

= x2  -89x2 - 16x2 - 163x2  - 2x+ 10 x + 8

= -267x2+8x +8

= 267x2 -8x -8

First the like terms are arranged and then added . All the co efficients of x2 are added and x are added separately.

Using the quadratic equation to find the value of x

a= 267 , b= -8 and c= -8

x= -b±√b²- 4ac/ 2a

x= -8±√64 +8544/534

x= -8±√8608/534

x=-8±√ 2 x 2 x 2 x 2 x 2 x 269/534

x=-8± 4√ 2 x 269/534

x=- 4± 2√ 2 x 269/267

x=- 4± 2√ 538/267


Related Questions

help with number 4 plz i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

the square root of 89 is about 9.4 and, on this graph, 9.4 is at about C

Hope this helps you :)

help plz :<<<<<<<<<<<<

Answers

Answer:

can you make the question more clear please

find the length of the unknown side round your answer to the nearest whole number 18 and 4

16.5

17.5

18.5

22.0

Answers

Answer:

17.5

Step-by-step explanation:

90% sure

Find the value of y that makes the equation y = 8 – 2x true, when x = 3. A. 2 B. 5 C. 6 D. 8

Answers

Answer:

so first you would find out the whole equation after you plug in x and it would be

y=8-6

y=2

so the answer is A. 2

The value of y is 2.

The correct option is (A).

What is equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given equation is: y = 8 – 2x.

So, when x=3

y= 8-2*3

 =8-6

 = 2.

Hence, the answer is A. 2

Learn more about equation here:

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Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?

Answers

Answer:

5.25 or 5 and 1/4

Step-by-step explanation:

7 pieces of wood * 3/4 yards each piece of wood is = 5.25 or 5 and 1/4 which represents the total length of the 7 pieces of wood.

5.25 or you can do 5 1/4

You were given 10 math problems for homework. You completed 6/10 of them at school. Which equation shows how to find the fraction of the problems you still need to do to complete your homework?

Answers

Answer:

Step-by-step explanation:

1 10

The equation would be 1/20


Two sides of a parallelogram are 44 feet and 50 feet. The measure of the angle
between these sides is 97º. Find the area of the parallelogram to the nearest square foot.

Answers

Answer:

Step-by-step explanation:

area=base(one side )×h

[tex]\frac{h}{44} =sin 97\\h=44 ~ sin~ 97\\area=50 \times~44~sin~97 \approx 2183.60~sq. ~ft.[/tex]

Pls help me with dis question

Answers

Answer:

3 1/15

Step-by-step explanation:

Product means multiply

I think the answer is 2/3, but I’m not too sure.

Can I pls have a brainliest??

A sandwich shop gives you the choice of 6 meats, 5 types of bread, 3 types of cheese, and 2 types of relish. How many different sandwiches can be made if you pick one choice from each option?

Answers

Answer:

180

Step-by-step explanation:

6(5)(3)(2) = 180

180 I think you multiply

A restaurant worker was told to make every ham sandwich with 2 tomato slices and 3 pickle slices.
Select all the true statements

A. A worker makes 3 ham sandwiches. Taken together, the sandwiches will have a ratio of total number of tomato slices to total number of pickle slices of 6 : 9.
B . For every ham sandwich, the ratio of tomato slices to pickle slices is 3 : 2.
C . A worker makes 5 sandwiches. The ratio of total number of tomato slices to total number of pickle slices is 7 : 8.
D . On every ham sandwich the ratio of tomato slices to pickle slices is 2 : 3.
E. Once a ham sandwich is made, there will be a ratio of 2 tomato slices to 1 ham sandwich.

Answers

The answer to this question I believe is a and d

Answer:

Its A and D

Step-by-step explanation:

Trust me ;)

what is the solution to the inequality 3x-42>3

Answers

Answer:

x > 15

Step-by-step explanation:

Try to get x on a side by itself...

3x - 42 > 3

3x > 45

x > 15

WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!! GIVE EXPLANATION + ANSWER FOR BRAINLIEST
Scalene triangle EFG is reflected to form Δ MNP. Which statement is true?
A. EF≅NP
B. FG≅NP
C. ∠EFG≅∠NMP
D. ∠FGE≅∠NMP
IF YOU PUT RANDOM NONSENSE ANSWERS OR A LINK I WILL REPORT YOU AND EMAIL BRAINLY.

Answers

The correct answer is:

D. ∠FGE≅∠NMP

Explanation:

The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).  

This means since EFG is congruent to HJK, then HJK is congruent to EFG.

7th grade math help me pleaseeee

Answers

3(4+n)

Step-by-step explanation:

3(4+n)=12+3n

For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler

1. (1, 1) and (7, 5)

2. (1, 1) and (5, 7)

3. (2, 5) and (-1, 2)

4. (2, 5) and (-7, -4)

Answers

The answer for this question is number 4

Which table represents a linear function? (will give brainliest)

Answers

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]

Linear function :The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Linear functions are related to linear equations.

Step-by-step explanation:

We have

y=mx+c

for 1st

not satisfied.

for

2nd

not satisfied

3rd

3rd satisfied

4th

[note : substitute value of x to get value of y from table]

so

third table represents a linear function.

Answer:

The third option is the answer

Step-by-step explanation:

its like the only one which fits the question

The measure of c is _____

3 squared 5
9 squared 5
3 squared 13
5 squared 3

Answers

Answer:

3 squared 13 took the test

Step-by-step explanation:

Answer:

3 squared 13

reason:

you should know this if you tooktn notes

find the area of the circle. ​

Answers

Answer:

78.5 cm^2

Step-by-step explanation:

1, find the radius (half a diameter) R = 5

3.14 * 5^2

3.14 * 25 = 78.5

Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?

Answers

Answer:

The t-score to be used to find the 95% confidence interval for the population mean is;

[tex]t_{(0.025, \, 25)} = 2.06[/tex]

Step-by-step explanation:

The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom  from the Student's T-distribution is a standard test statistic obtained by applying a T-test

Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;

The number of degrees of freedom = n - k

The confidence level in the confidence interval

The parameters given in the question are;

The number of pizza orders in the sample, n = The sample size = 26

The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza

The level of confidence (the probability) that the interval contains the population mean = 95%

Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05

∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long

The degrees of freedom, df = n - k

∴ For the estimation, DF = 26 - 1 = 25

The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;

[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]

Hi! I need some help on my hw! Feel free to attach a picture explaining it if that’s easier tysm!

Answers

Simple mathematics.

2+3 1/10==5 1/10-4==1 1/10 -9 == -8 1/10 == -8.1

-10-4 1/2== -14 1/2 +2 +9 == -3 1/2 == -3.5

1. NASA has computer scientists and engineers working on-site for their programs every
day. On the day described, find how many scientists were working and how many engineers
were working.
---
A.
One day there were 11 total engineers and scientists working. Write an
equation that represents this relationship.
B.
Each engineer is paid $144 per day and each scientist is paid $66 per day. On
the same day as in part A, earnings for scientists and engineers totaled
$1038. Write an equation that represents this relationship.

Answers

Answer:

Step-by-step explanation:

Ok there are some working areas here that I am working out but I do know that if you break down the total amount paid out to the scientists and engineers, there would be 7 scientists and 4 engineers

$1038 so if you take $66 multiplied by 7 you get $462. Multiply $144 by the remaining 4 and you get $576. The total will equal $1038. This should all help you put together the right equation because the answers are correct.

I hope this helps!!!

Computers depreciate rapidly. If a new computer that costs $1200 loses 40% of its value every year, what is its worth 5 years from now?

Answers

Answer:

$96

Step-by-step explanation:

 [tex]f(x)= a(1-r)^x[/tex]

a= initial amount

x= time in years

r= decay rate

[tex]f(x)= 1,200(1-0.4)^5[/tex] ≈

[tex]f(x)= 96[/tex]

can someone please help

find rate of change or slope

a. 1
b. 2
c. 1/2
d. 64​​

Answers

the answer is rate 1 dont believe me though

Answer:

I believe you're right good luck

What is the area of this figure? 2m 4m 8m 9m 5m​

Answers

Answer:

is there a picture of the figure?

Step-by-step explanation:

maybe 98 is an answer.

What is the area of the following trapezoid

Answers

Answer:

d. 130

Step-by-step explanation:

What type of linear equation is the following?

x + 2y = 200

1) Standard Form
2) Slope-Intercept Form
3) Point-Slope Form
4) Horizontal Form

Answers

2) slope-intercept form
The second one 2 I think

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x=7

Step-by-step explanation:

a triangles Angel's should add up to 180 all together

So, 71+64=135

180-135= 45

now that you have found the missing angle, you need to find x.

set the equation equal to 45:

8x-11=45

now solve:

8x-11 =45

add 11 to both sides to cancel out the negative 11 and try to get x alone:

8x=56

divide 8x by 8 and 56 by 8 to get x alone:

x=7

5 What is the range of
y = -x?- 2x + 3?


A X54
B X > -4
Cy 54
Dy >-4

Answers

The answer is d
Yes the answer is d

a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?​

Answers

Step-by-step explanation:

tan3 = 200/x

x = 200/tan3

The question is incomplete. The right question is:

A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?​

The distance between the fire and the base of the tower is 3816.2 feet.

What is the concept of height and distances?

Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.

How do we solve the given question?

We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.

We are asked to find the distance between the fire and the base of the tower.

We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.

We let the distance between the fire and the foot of the tower be x foot.

∠BCA = ∠DAC = 3° (alternate angles).

Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)

In ΔABC,

tan ∠BAC = BC/AB (tan θ = perpendicular/base)

or, tan 87° = x/200

or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).

∴ The distance between the fire and the base of the tower is 3816.2 feet.

Learn more about Heights and Distances at

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if the measure of angle 1=105 degrees what is the measure of angle 3

Answers

Step-by-step explanation:

Since it is a parallelogram,

opposite angles are equal, hence,

angle 1 = angle 3 = 105°

They are both 105 since the whole is a parallelogram and opposites are are the same

Can some please help me immediately

Answers

Answer:

Step-by-step explanation:

6x+4=52

    -4   -4

6x/6=48/6

x=8

Answer:

-4 -4

6x=48

Explanation

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