Where is f(x)=g(x)? Justify your answer algebraically.

Where Is F(x)=g(x)? Justify Your Answer Algebraically.

Answers

Answer 1
54x^2+208x-308=-2x-8
54x^2+208x-308+2x+8=0
54x^2+210x-300=0
9x^2+35x-50=0 (divided both sides by 6)
9x^2+45x-10x-50=0 (wrote the 35x as a difference)
9x(x+5)-10(x+5)=0
(9x-10)(x+5)=0
Now solve the equations:
9x-10=0
x=10/9
x+5=0
x=-5

Therefore, x has two solutions, 10/9 and -5!!




Related Questions

simplify-3 divided by (-2/5)

Answers

Decimal form: 7.5

Fraction form: 15/2

Improper fraction: 7  1/2

Hope this is enough! :D

find the sum of the first 8 terms of the geometric sequence 2,4,8,16,..
(with solution)

PA HELP PO THANKYOUU

Answers

Answer:

I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256  

256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.  

2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510

Find the value of the variable(s) in each figure explain your reasoning.

Answers

Answer:

...............................

What is the scale factor from ABC to XYZ?
A 1/5
B 1/6
C 5
D 6​

Answers

The scale factor is 6

Answer:

Is 6

Step-by-step explanation:

5X6=30

3X6=18

4X6=24

In an attempt to predict a single response variable y, three models are estimated. The standard error of the estimate for Model 1 equals 10, for Model 2 equals 100, and for Model 3 equals 1000. According to the standard error of the estimate, which model provides the best fit

Answers

Ummm 133/2 it the square root of 69 so the absolute value is 42. 0

Hard cover book lenght in cm

Answers

Answer:

f

Step-by-step explanation:

17. A store is advertising the following sale:

[Tomato Soup-- 4cans for $0.98]

To the nearest cent, how much would five cans of tomato soup cost? (show work to prove answer)

(A)- $0.25

(B)- $1.23

(C)- $2.45

(D)- $4.90​

Answers

Answer:

Step-by-step explanation:

Answer:

(B)

Step-by-step explanation:

4 cans - $0.98

1. $0.98/4 = $0.245 will cost 1 can

2. $0.245 × 5 = $1.225 will cost 5 cans

so $1.225 = $1.23

so the answer is B

How do you know it is positive or negative in exponents.

Answers

When using exponents there will be a negative sign before the exponent. If the exponent is positive it will not have any sign it will just be the number

Is this a function? I don’t think it is but I’m not sure.

Answers

Answer:

no

Step-by-step explanation:

If Lucy runs 1 mile in 6
minutes, how many miles
will she run in 23 minutes?

Answers

3 and 1/8 of a mile

use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____​

Answers

Given: x=6

By substituting value of x as 6 in the given expression, we get:

[tex]f(6) = {x}^{3} - 6x + 1[/tex]

[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]

[tex]→f(6) = 216 - 36 + 1[/tex]

Now, using integer sign property,

[tex]→f(6) = 216 - 35[/tex]

[tex]→f(6) = 181[/tex]

Therefore, f(6)=181

Olivia has blue, pink and orange counters in a bag.
The ratio of blue to pink to orange counters is 4:5:2
(a) What fraction of the counters are blue?
(b) What fraction of the counters are orange?

Answers

Answer:

A. 4/11

B. 2/11

Step-by-step explanation:

Use the given values to find the fractions (4+5+2=11)

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Why are various creative works split up into different types under copyright law?


Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?


What kinds of artists benefit the most from creative commons licenses? Explain your answer.


Why is it useful for students to practice the MLA and APA citation methods?


What kinds of art works can be considered remixes or mashups? Explain your answer.

Answers

Answer:

1. The nature of creative work is that it can take almost any form, so the scope of the copyright law was drafted in such a way to take that into account. The categories that works can potentially be protected in are so wide that it’s difficult to imagine what types of creative work are not protected.

2.Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?

3.The Benefits of Using a Creative Commons License Numerous high-profile authors (including futurist Cory Doctorow), artists, musicians (such as the rock band Nine Inch Nails), and even government agencies and entities (including the White House) use Creative Commons licenses. You’ll find many more case studies on the Creative Commons site.

Step-by-step explanation:

Answer:

What kinds of artists benefit the most from creative commons licenses? Explain your answer.

Every license helps creators, they are called licensors if they use our tools  retain copyright while allowing others to copy, distribute, and make some uses of their work  at least non-commercially. Every Creative Commons license also ensures licensors get the credit for their work they deserve.

What is a trend line in math.

Answers

Answer:

Determining if a set of points exhibits a positive trend, a negative trend, or no trend at all.

A trend line, often referred to as a line of best fit, is a line that is used to represent the behavior of a set of data to determine if there is a certain pattern.

What is the slope of the line for this question?

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

we have 2 points marked on the chart :

(6, -1) and (9, 3)

x changes by +3 (from 6 to 9)

y changes by +4 (from -1 to 3)

the slope is therefore +4/+3 = 4/3

Select the correct answer.
Which equation has a unit rate greater than the unit rate of the relationship shown in the graph?
7
5
3
3
9

Answers

The correct answer is gonna be 9

Please help I don’t understand this

Answers

Answer:

The area is 24

Step-by-step explanation:

Divide the quadrilateral into 4 triangles (two identical at the top and two identical at the bottom).

Then find the area of each triangle and add it all together

Area of Triangle= (base x height)/2

(3 x 3)/2  +  (3 x 3)/2  + (5 x 3)/2  + (5 x 3)/2

this equation gives us 24 as the area

If y + 6 = 45, then y = 39

Answers

Answer:

True!

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve

Answers

Answer:

7

Step-by-step explanation:

I used keep change flip, and repeated the process and got the answer.

Hope this helps! :)

Answer:

1/72

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2

1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1

1/72

Mrs.bowlin Organise the markers and two sets of staff were nine markers in each is that how many sets of markers did Mrs. Bowlin create

Answers

Answer:

18 sets of markers

BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.

Answers

The answer is x= -1.2

C=pi/2 what is the area?

Answers

Answer:

A=1

Step-by-step explanation:

The formula to find the area of a circle is πr^2, meaning that you divide the diameter in half which is 1. So 1^1 is one. The area would be one.

Hope this helps :)

The area would be one, is, A=1.

What is area of circle?

The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately  3.142

here, we have,

C=pi/2

The formula to find the area of a circle is πr^2,

meaning that you divide the diameter in half which is 1.

So 1^1 is one.

The area would be one.

To learn more on area of circle click:

brainly.com/question/22964077

#SPJ2

A bakery can make 4 cheesecakes for every 5 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses?

Answers

Answer:

where is the picture of the tables?

Step-by-step explanation:

We gonna need the picture of the table

Pleaaaaaaaaaaaaaaaaaaaaaaase help me

Answers

Ruler 1 and Ruler 2 show 2.5 cm in length

Answer:

It would be the first one

Step-by-step explanation:

Start at 0 and the end shows 2.5

what is the answer for k=6x+100

Answers

Answer:

x = k/6 - 50/3

Step-by-step explanation:

K=6x+100

--> Swap sides so that all variable terms are on the left hand side.

6x+100=k

--> Subtract 100 from both sides.

6x=k−100

--> Divide both sides by 6.

6x/6 = k-100/6

--> Dividing by 6 undoes the multiplication by 6.

x = k-100/6

--> Divide k−100 by 6.

Answer : x = k/6 - 50/3

Hope this helps you!

Patrick makes chocolate chip cookies. The recipe calls for 1 3/4 cups of flour. If Patrick triples the recipe, how much flour will he need?
A. 3 9/12 cups
B. 4 1/4 cups
C. 3 3/4 cups
D. 5 1/4 cups

Answers

Answer: 21/4 or 5 1/4

Step-by-step explanation: sorry for the 21/4 if this is wroNG IM SOOO SORRy if it is..

How to synthetically divide polynomials.

Answers

Answer:

Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.

Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.

Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.

Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.

Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:

-2| 1  2  -4  8

   ↓

   1

Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:

-2| 1  2  -4  8

       -2

   1

Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:

-2| 1  2  -4  8

       -2

   1   0

Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:

-2| 1  2  -4  8

       -2  0  

   1  

Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:

-2| 1  2  -4  8

       -2   0  

   1   0   -4

Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

   x2   + 0x    - 4    R 16

x2 - 4 R16

Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).

Step-by-step explanation:

That was quite long, but those are the steps to synthetically divide polynomials.

What fraction of an hour is 15 minutes?
Give your answer in its simplest form.

Answers

Answer:

1/4

Step-by-step explanation:

15/60 = 1/4

Hello there! :)

15 minutes is 1/4 of an hour.

An hour is 60 minutes:

[tex]\frac{}{60}[/tex]

We have 15 minutes:

[tex]\frac{15}{60}[/tex]

Reduce your answer by dividing 15 and 60 by 15:

[tex]\frac{1}{4}[/tex]

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest!!

[tex]Mysterious Nature[/tex]

Solve. −6.6x=−4 What is the solution to the equation? Enter your answer as a simplified fraction in the box. x =

Answers

Answer:

20/33

Step-by-step explanation:

i took the test

Answer:

x = 20/33

Step-by-step explanation:

−6.6x = −4

Divide both sides by -6.6

x = -4/(-6.6)

x = 40/66

x = 20/33

Answer: x = 20/33

Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?

Answers

Answer:

Dan had $104

Paul had $40

Step-by-step explanation:

13x-32=5x+32

8x=64

x=8

8*5=40

13*8=104

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Each partner is allowed to withdraw up to $25,000 cash per year.Assuming that the net income is $115,000 and that each partner withdraws the maximum amountallowed, what is the balance in Colomas capital account at the end of the year?a. $143,000b. $135,000c. $168,000d. $164,000 what organelle of a cell connect the nucleus and cell membrane of the cell? 3Select the correct answer.Which statement describes how the 1945 vice-presidential change from Wallace to Truman influenced the Cold War?OA.It discouraged diplomacy because Wallace believed in using atomic weapons.OB.It increased tensions because Truman distrusted the Soviets..It resulted in Truman's appeasement of Josef Stalin.OD.It reversed Wallace's support for containment.ResetNext When an alpha particle is emitted from an unstable nucleus, what happens to the atomic number of the nucleus y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither What was the stated purpose of the Constitutional Convention?a) the revision of the Declaration of Independenceb) to write to the British Conventionc) write the words to the national anthemd) to vote on statehoode) the revision of the Articles of Confederation Write a short description in Spanish of what you and a family member do and why. 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