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

What is the slope of this graph?

a: 1/3
b: 3
c: -3
d: -1/3​

Answers

Answer:

-3

remember, slope is rise over run. It's negative because the line is declining.

Convert 6 fluid ounces into cups.

Answers

Answer:

0.75 cups

Step-by-step explanation:

.75 cups is the answer

Can anyone help me with this question please I really need help please I’ll mark as brainliest

Answers

Answer:

[tex]f(x)=-11\times(7^x^-^1)[/tex]

Step-by-step explanation:

Stare at the numbers. Especially the first two. First one is -11. Second is [tex]-11\times 7[/tex]. Let's guess you keep multiplying. [tex]-77\times 7=-539[/tex]. Smells correct, let's confirm with the last one: [tex]-539\times7 = -3773[/tex]. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:

[tex]f(1) = 1=7^0; f(2)=7; f(3)=7^2; f(4)=7^3[/tex]. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following

[tex]f(x)=-11\times(7^x^-^1)[/tex]

please answer fats i need it hurry

Answers

Answer:

78 in

Step-by-step explanation:

26 * 3 = 78 in

y = 7 - 3x x=4 what is the ordered pair

Answers

Answer:

(4, -5)

Step-by-step explanation:

[tex]y=7-3x\\y=7-3(4)\\y=7-12\\y=-5[/tex]

Find the value of X ​

Answers

[tex]x + 3x + 80 = 180 \\ 4x = 180 - 8 0 \\ 4x = 100 \\ x = \frac{100}{4} \\ x = 25 \: \: \: [/tex]

find the length of segment AB

Answers

Answer:

35

hope this helps you!!

euler formula find the number of edges of a polyhedron of 6 faces and 4 verticies

Answers

Euler's polyhedron formula, V − E + F = 2

[tex] = 4 - E + 6 = 2 \\ = E - 10 = 2 \\ = E = 2 + 10 \\ = E = 12[/tex]

hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
a.3m[tex]2^{2}[/tex]
b.
c.
d.
e.
f.
g.
h.
i.

Answers

Answer:

No factorizable, está en su forma más simple

Step-by-step explanation:

Find the common factor by grouping the terms of the following exercises

3m[tex]2^{2}[/tex] --> Not factorable, is in simplest form.

Hallar el factor comun por agrupacion de terminos de los siguientes ejercicios

3m[tex]2^{2}[/tex] --> No factorizable, está en su forma más simple.

--------------------------------------------------------------------

Explicación: Solo puede factorizar, o simplificar, una ecuación o solo variables, si la variable que tiene un exponente tiene la misma base que otra variable, como x ^ 2 y x ^ 3, puede simplificarla ax ^ 5. Ahora, en este problema tenemos un 3, y 2 ^ 2, en el 2 ^ 2, 2 es la base y el otro número es 3, que definitivamente no es la misma base, por lo que no puede factorizarlo más, y deje la variable a lo largo.

How to find if a triangle is obtuse acute or right.

Answers

Right triangles will always have a 90 degree angle in them. If your unsure of what a 90 degree angle is; try imagining a square, the corners of the square will all be 90 degrees resembling an L shape.
Example of possible angles(right): 90, 70, 20

Referring back to right angles, Obtuse triangles will always consist of one angle wider than 90 degrees.
Example of possible angles(obtuse): 120, 30, 30

And finally for acute triangles all angles in the triangle will be less than 90 degrees.
Example of possible angles(acute): 50, 70, 60

As far as differentiating the triangles, you should be able to tell by looking at them, if they are right they’ll have 1 L shape, if they are obtuse they will have one wide angle, and if they are acute all angles will be smaller than the L shape. If it’s not clear by looking at the triangles, you could always use a tool such as a protractor.

Hope this helps- S

Randall purchased a flat screen tv for $1089.the tax rate was 8.75%

Answers

Answer:

9528.75

Step-by-step explanation:

1089x8.75, or 1089x8 and 3/4 which is 9528.75


(03.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) – 11?
A: The graph of y=f(x) will shift up 11 units.
B: The graph of y=f(x) will shift right 11 units.
C: The graph of y=f(x) will shift left 11 units.
D: The graph of y=f(x) will shift down 11 units.

Answers

Answer:

its letter C

Step-by-step explanation:

yan Ang answer for me

what is the least common factor for 1,000 and 150

Answers

Answer:

least common multiple: 1000

greatest common factor is 50

least common factor would be 1, but that isn't really a common thing to calculate

Step-by-step explanation:

answer the three questions pls

Answers

If you divide the cost by the ounces, that will be the unit rate.
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents

graph the following features: slope= -3/2 y intercept = 2

Answers

Using the given information the equation of the line is y = -3/2x + 2

Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:

Using X = 0:

y = -3/2(0) + 2, y = 2

First point is (0,2)

Now X = 4:

y = -3/2(4) + 2 = -6 + 2 = -4

Second point = (4,-4)

See attached image with plotted line:

find the measure of angle y, 38,41,19

Answers

If this is DMS then the answer is 38.68861111 degrees

Find the missing value given the points and slope.
(9,7) and (x,4)
m=3/7




Answers

Answer:

Step-by-step explanation:

Factor the polynomial 49n^2+168n+144

Answers

Answer:

(7n+12)^2 or (7n+12)(7n+12)

Step-by-step explanation:

Answer:

(7n+12)^2    or     (7n+12) (7n+12)

Step-by-step explanation:

Both answers are the same thing it's just shortened with the first equation.

Rob is making a square pen for his dog to play in. Each
a
side of the pen is 30 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and sis the length of one side.
What is the area of the pen?
A. 900 square feet
B. 60 square feet / guys help
C. 30 square feet
D. 120 square feet

Answers

Answer:

A.900 square feet

Step-by-step explanation:

s×s=A

30×30=900

Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6}

Answers

hope this helps! here is the answer!

a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week

Answers

Answer:

382.85

Step-by-step explanation:

hours. amount

8. 80.60

38. ??

=382.85

A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball to hit. She continues this procedure until all 80 of the golf balls are hit.


Has the principle of comparison been addressed in this experimental design?


Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball.

Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared.

No, because a placebo ball was

Answers

The design of the experiment is such that the knowledge of the type of

ball being hit does nit influence the outcome of the experiment.

The correct option is; Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.

Reasons:

The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.

The design of the experiment is as follows;

Number of the previous golf ball in the experiment = 40

Number of the new type of golf ball used in the experiment = 40

The order in which the ball are selected from the bag = Randomly

The subject of the experiment = A golf pro

The sample size of each sample is larger than 30, and therefore, the

distribution can be taken as approximately normal.

The principle of comparison has been addressed in the experiment

because the golf pro that is subject to the treatment will react more

accurately to the change in the variable, given that, the previous golf ball

serves as a placebo in the study and after all the balls are hit, the distance

travelled by each set can be determined.

The correct option is therefore;

Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.

Learn more experimental design here:

https://brainly.com/question/15549600

https://brainly.com/question/17246426

What is the quotient?
-3/8 divided by -1/4

Answers

Answer: D. 1 1/2.

Step-by-step explanation: -3/8÷-1/4                                                                 (-3/8)(-4/1)                                                                                                           -3/8/-4/1                                                                                                             Cancel out the terms of 8 and -4.                                                                       8/4                                                                                                                               (-3)(-1)/2                                                                                                                   3/2                                                                                                                             D. 1 1/2                                                                                                                                                                            

The length of perpendicular drawn from the opposite vertex to any side is a) altitude b) median c) perpendicular d) angle bisector

Answers

Answer:

Step-by-step explanation:

Altitude or height

Answer

It is known as altitude

There are three such altitudes and the point of intersection of these altitudes

is called as orthocentre

need helps plsssssssssssssss

Answers

Answer:

64

Step-by-step explanation:

4^3 is just 4*4*4

so 4*4=16

and 16*4=64

TADAAAAAAAAAA

Answer
The value of 4^3 is 64




………………

How to lnow the numberof turning points in a function.

Answers

Answer:

The maximum number of turning points of a polynomial function is always one less than the degree of the function. A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).

Directions: Transform the following equations into standard form.
1. x2 + 2x = -1
2. 4 + x2 = 7x
3. x2 - x = 1
4. x2 + 9x = 10
5. 4x + 3 = x2
6. x2 + 5x +5
7. 2x5 + 7x = 3x
8. x2 = 3x + 8
9. x(x + 3) = 1
10. x2 - 3x = -2
11. y2 - 7y = -6
12. z2 - 5z = -4

Answers

The standard form is:

ax² + bx + c = 0

Convert each equation:

1. x² + 2x = -1                        add 1 to both sides

⇒ x² + 2x + 1 = 0

2. 4 + x² = 7x                        add - 7x to both sides and rearrange

⇒ x² - 7x + 4 = 0

3. x² - x = 1                            add - 1 to both sides

⇒ x² - x - 1 = 0

4. x² + 9x = 10                       add - 10 to both sides

⇒ x² + 9x - 10 = 0

5. 4x + 3 = x²                        add -4x - 3 to both sides

⇒ x² - 4x - 3 = 0

6. x² + 5x = 5                        add -5 to both sides

⇒ x² + 5x - 5 = 0

7. 2x² + 7x = 3                      add -3 to both sides

⇒ 2x² + 7x - 3 = 0

8. x² = 3x + 8                        add -3x - 8 to both sides

⇒ x² - 3x - 8 = 0

9. x(x + 3) = 1                         distribute and add - 1 to both sides

⇒ x² + 3x - 1 = 0

10. x² - 3x = -2                       add 2 to both sides

⇒ x² - 3x + 2 = 0

11. y² - 7y = -6                        add 6 to both sides

⇒ y² - 7y + 6 = 0

12. z² - 5z = -4                       add 4 to both sides

⇒ z² - 5z + 4 = 0

Answer: ^^

1. x2 + 2x + 1 = 0

2. x^2 - 7x + 4 = 0

3. x^2 - x - 1 = 0

4. x^2 + 9x - 10 = 0

5. -x^2 + 4x + 3 = 0

6. x^2 + 5x - 5 = 0

7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0

8. x^2 - 3x - 8 = 0

9. x^2 + 3x - 1 = 0

10. x^2 - 3x + 2 = 0

11. y^2 - 7y + 6 = 0

12. z^2 - 5z + 4 = 0

Step-by-step explanation:

:)

How do I factor this expression
2xy-x^2y-6+3x

Answers

Answer: (-x+2) (xy-3)
Steps:
I did the math on paper but my phone camera is broken so I can’t add it here. If you need the steps I can provide a picture of an online calculator because it’s too complicated to type it out here. Just comment if you need the steps!

I hope this helps!

.−3(4x + 3) + 4(6x + 1) = 43
What is the solution?

Answers

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

Check

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

Melanie buys a carrying case for her new laptop, which costs 125% as much as her old laptop case. The price of her new laptop carrying case is $65. If n represents the cost of her old laptop carrying case, which proportion can be used to find n?

Answers

Answer:

C

Step-by-step explanation:

Because don't know old laptop cost.

So 65 dollars represent 100% and n(old case) represents 125%.

Other Questions
true or false: the difference in the sun, earth, and moons syzygy is why there are different types of eclipses. How many different types of tissue cells are there in humans?A. 2,000B. 20,000C. 20D. 200 Identify which equations have one solution, infinitely many solutions, or no solution. If a source is biased, it meansthe source is vulgar.the source is dated, but still usefulit is a great source of trustworthy informationit is unfairly prejudiced for or against someone or something Can someone help? anyone? 0.9627281873+783,840,183=??!!plzzz help Simplify the expression.14.5 3(-7.9+ 4.4 - 2.9) = 14.5 3 Phosphorus reacts with oxygen to form diphosphorus pentoxide: 4 P(s) 5 O 2(g) ---> 2 P 2O 5(s) If 0.97 moles of phosphorus are reacted how many moles of P 2O 5 are produced plz answer properly i need mt grades to be up What evidence does Tze-Yo-Tzuh show the Monkey King to prove that hisfingers were the five pillars of gold?A. He gives the Monkey King one of the golden pillars.B. He shows the Monkey King a picture of the pillars.C. He has the Monkey King's name carved into his finger.D. He has one of the Monkey King's shoes in his hand. 10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit! a.2xb.2x+2c.x^2d.2x^2 what is the main reason scientist do experiments?A) to find out if a hypothesis is correctB) to provide jobs for scientistsC) to find different ways to use lab equipmentD) to educate science students Which country wasa member of the Central Powers?RussiaO SerbiaItalyOttoman Empire Choose the right family member:Le frre de ma sur Mon neveu Mon frre Mon cousin Mon oncle classify the materials that undergo decay. write decay and non-decay in the space provided for 1. fish2.stick 1. Why should teachers consider practicing the 14 learner-centered principles?help me a plate boundary where two plates move away from each other Which word means "whenever" in German?wannalswenn Oil does not dissolve in water because Your body's 2nd choice of food group to break down for energy?