Let f(x) = 6x² - 54x+100 and g(x)=-3x² + 19. Identify the solution(s) of f(x) = g(x).

Let F(x) = 6x - 54x+100 And G(x)=-3x + 19. Identify The Solution(s) Of F(x) = G(x).

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

f(x) = g(x)

[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]

9(x - 3)(x - 3) = 0

x = 3


Related Questions

a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio. ​

Answers

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 times

Hence factorize completely the expression
9x³y² - 4xy⁴​

Answers

Step-by-step explanation:

[tex]9 {x}^{3} {y}^{2} - 4x {y}^{4} \\ = x {y}^{2} (9 {x}^{2} - 4 {y}^{2} )[/tex]

Which graph represents the following piecewise defined function?

Answers

Answer: is B

Step-by-step explanation:

on edge 2020

The graph that represents the following piecewise defined function is graph D (Image attached).

What is piecewise defined function?

A piecewise function is known to be a type of function that is known to be formed or created from scratch (pieces) of different functions over different intervals.

An example, a person can make a piecewise function f(x) where f(x) = -9 when -8 < x ≤ -4, f(x) = 5 when -4 < x ≤ -1, and f(x) = -6 when -1 <x ≤ 9. Looking at the graph attached, you can see that it tells us more about  piecewise defined function.

Learn more about  piecewise defined function from

https://brainly.com/question/24313105

The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c . The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc?

Answers

Answer:

I don't recognize this problem, please make sure the input is complete.

Step-by-step explanation:

sry

Write and solve an equation to determine the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

<CED = 180 - (9x-8)

= 180 - 9x +8

= 188 - 9x

Angle sum of triangle is 180

.'. (5x-10) + (50) + (180 - 9x +8) = 180

5x -10 + 50 + 188 -9x = 180

-4x = 180 + 10 - 50 - 188

-4x = -48

4x = 48

x = 12

Cómo saco el volumen de un cilindro?:(

Answers

Step-by-step explanation:

La fórmula para hacer este cálculo es muy sencilla, ya que el cilindro es una forma geométrica simple. Se trata de V = hπr2, lo que significa que hallaremos el volumen al tener la altura (h) y el radio (r). Los dos círculos son del mismo tamaño, así que puedes utilizar cualquiera de ellos como base

3x (7+8)x2+6 = ? HM?

Answers

Answer96

Step-by-step explanation:

3x (7+8)x2+6=96

Answer:

SHORTYYYYYYYYYYYYYYYYYYYYYYYYYYY ANSWER MEH YOU PRECIOUS CHILD

Step-by-step explanation:

It's meh Min you better not have forgotten who I am-

can u plz help me it’s for a test!! PLZ ANSWER 1 &2

Answers

Answer:

Step-by-step explanation:

number one is 10

number two is (c) they have the same median

Answer:

C/B

Step-by-step explanation:

test 1: 90 - 50 = 40

test 2: 100 - 40 = 60

60 - 40 = 20

test 1 is 60 and test 2 is 80

A student has been tracking his progress in French class. He notes each
grade he receives along with the date he received it. At the end of the
semester, he decides to create a data display to illustrate how his grades
have improved over time. What kind of display is his best choice?
O A. Stem-and-leaf plot
O B. Line graph
O C. Bar graph
D. Circle graph

Answers

Line because it will show the gradual increase or decrease

Answer:

B) Line graph


If
the
mean of A and B is 20. The mean of B and c is 24 and the
mean of A,B,C is 18. what is the mean of
A and c?​

Answers

Answer:

Mean of a and c is  a+c/2=6+14/2=10

what is the absolute value of 10?​

Answers

Answer:

10

Step-by-step explanation:

abolute value= distance from zero 10 is 10 away from 0

Answer:

the answer is |10|

Step-by-step explanation:

absolute value is always positive

(2.4 x 10^4)(4.5 x 10^3)

Answers

2.4x104(4.5x103)

Simplifies to:

10.8x11000

=10.8x11000

Your answer will be =1.08 x 10^8

Where is the blue dot on the number line? 0 0 - 5 - 5 5 5 ? ?

Answers

the blue dot is on -15 as each interval is 5

The blue dot is at -15 because the line is counting by fives rather than by ones, twos, threes, etc. So, when you count from the left from 0, it goes by -5, -10, -15 which is where the blue dot is. Hope this helps :)

Which of the following functions have a domain of ( -infinity, infinity) and a range of
(-2, infinity)?
Check all that apply.
A. f(x) = 0.25^x- 2
B. f(x) = 0.25^x+2
c. f(x) = 3^x – 2
D. f(x) = 3^x +2

Answers

Answer:

It would be answers A and C

Step-by-step explanation:

Notice both end in negative 2, matching your range, so you can't get that correct using either B or D

The functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].

What is function?

A function is relationship between two or more variables expressed in equal to form .In a function each value of x must have a corresponding y value. The value of x is known as domain of the function and the value of y is known as range of function.

How to find function?

We have been given four functions and we have to find the functions having domain (-∞,∞) and range (-2,∞).

Taking f(x)=[tex]0.25^{x}-2[/tex]

f(0)=1-2

=-1

f(1)=0.25-2

=-1.75

f(2)=0.50-2

=-1.50

f(-2)=1/0.50-2

=1-1/0.50

=0

So this function has domain (-∞,∞) and range (-2,∞) because the value of function increases from -2 as the value of x increases.

Taking f(x)=[tex]0.25^{x}+2[/tex]

Because the above function is opposite of the first function so it behaves opposite as the function.

Taking f(x)=[tex]3^{x} -2[/tex]

f(0)=1-2

=-1

f(1)=3-2

=1

f(-2)=1/9-2

=(1-18)/9

=-17/9

=-1.8

This function also has domain (-∞,∞) and range  (-2,∞) because the value of increases from -2 as the value of x increases.

Next function is opposite from the third function so it behaves opposite to third function

Hence the functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].

Learn more about function at https://brainly.com/question/10439235

#SPJ2

my lil sis needs help asap

Answers

Answer:

Um... I'm guessing $14? Sorry If I'm wrong....

Step-by-step explanation:

Best of luck!

Have a nice day <3

( Srry I double checked and its acually 14)

Answer:

$14

Step-by-step explanation:

So Paul started off with twenty dollars. After he paid for his hat, he had only six dollars left. If you subtract 20 minus 6 you would get 14. Therefore he paid fourteen dollars for the hat.

A number cube has faces 1 through 6. How many of the number on the cube are composite?


A. 1

B. 2

C. 3

D. 4

Answers

Answer:

B) 2 numbers

Step-by-step explanation:

composite #'s:  4, 6

prime #'s:  2, 3, 5

neither composite nor prime:  1

Help plz if u can i would really like it

Answers

Answer:

you would subtract thoose numbers

Step-by-step explanation:

Yea subtract ajshjaksbdbsjsjsnd jansbsjsj

Hey morning help please thanks

Answers

Answer:

metaphor

Step-by-step explanation:

Answer:

Metaphor!

Step-by-step explanation:

Kites are described as "colorful fishes swimming in the sky".

Metaphors don't use like or as but still compare.

Which expression is equivalent to 1/5(150x - 80y + 50 - 50x - 25y + 20)?

Answers

Answer:

20x - 21y + 14

1/5(150x - 80y + 50 -50x - 25y + 20)

30x -16y + 10 - 10x - 5y + 4

30x -10x -16y - 5y + 10 + 4

20x -21y + 14

Answer:

20x-21y+14

Step-by-step explanation:

add up like terms and divide them by 5

Mother combined 7/4 cups of pancake mix and 3/4 cups of water to make pancake butter if she uses 1/4 of a cup of battte to make each pancake
how many pacakes can johny make

Answers

Answer:

10

Step-by-step explanation:

add the 7/4 and 3/4 which is 2 1/2. then divide 2 1/2 by 1/4

A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle?

Answers

The selling price will be $192

$120 x 60% = $72 markup

$120 + $72 = $192

Answer:

$192

Step-by-step explanation:

HELP ME PLEASE I AM STUCK

Answers

Answer:

-9.8 > -11.3, and -9.8 is located to the right of -11.3.

Step-by-step explanation:

On a number line, the larger value of numbers always increase towards the right side, becoming more positive.

Same, the numbers which have smaller values decrease towards the left.

The larger the negative number, the smaller the value it has.

Suppose there are three routes from North Point to Boulder Creek, four routes from Boulder Creek to Beaver Dam, four routes from Beaver Dam to Star Lake, and two routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can pass through a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam? To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process. Step 1: Choose a route from North Point to Boulder Creek . Step 2: Choose a route from Boulder Creek to Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. There are choices for step 1, choices for step 2, and choices for step 3. Thus, the answer is . (b) How many routes from North Point to Star Lake bypass Beaver Dam?

Answers

Answer:

(a) 36 routes

(b) 6 routes

Step-by-step explanation:

Given

[tex]North\ Point \to Boulder\ Creek = 3[/tex]

[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]

[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]

[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]

Solving (a): From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] through [tex]Beaver\ Dam[/tex]

To do this, we consider the following routes;

[tex]North\ Point \to Boulder\ Creek \to Beaver\ Dam \to Star\ Lake[/tex]

Taking a pair of routes, we have:

[tex]North\ Point \to Boulder\ Creek = 3[/tex]

[tex]Boulder\ Creek \to Beaver\ Dam = 4[/tex]

[tex]Beaver\ Dam \to Star\ Lake= 4[/tex]

By multiplication route, we have:

[tex]Routes = 3 * 4 * 3[/tex]

[tex]Routes = 36[/tex]

(b) From [tex]North\ Point[/tex] to [tex]Star\ Lake[/tex] bypass [tex]Beaver\ Dam[/tex]?

To do this, we consider the following routes

[tex]North\ Point \to Boulder\ Creek \to Star\ Lake[/tex]

Taking a pair of routes, we have:

[tex]North\ Point \to Boulder\ Creek = 3[/tex]

[tex]Boulder\ Creek\to Star\ Lake= 2[/tex]

By multiplication rule, we have:

[tex]Routes = 3 * 2[/tex]

[tex]Routes = 6[/tex]

HELP!!!

Maria, an experienced shipping clerk, can fill a certain order in 14 hours. Jim, a new clerk, needs 17 hours to do the same job. Working together, how long will it take them to fill the order?

Answers

15.5 hours is the answer

Answer:

i need help with this please help me Explain why the crossbreeding of bison and cattle is both a benefit and hindrance to conservation efforts aimed at protecting bison genetic diversity.

Step-by-step explanation:

THIS WORK IS DUE!!! I MARK BRAINLIEST! The following table shows the number of fire hydrants in each neighborhood overseen by Fire District 9. (LOOK AT IMAGE BELOW) If the mean of the data set is 15 fire hydrants, find the number of fire hydrants in Prairie Pass.

Answers

Answer:

10 fire hydrants

Step-by-step explanation:

(15)(5)= 17+15+21+12+x

x= 10

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

hope it helps...

have a great day!!

Answer:

10

Step-by-step explanation:

two angel measures in a triangle are 47 and 43. what type of triangle is it?

Answers

Answer:

Scalene triangle

Step-by-step explanation:

Because 2 angles in a triangle is not equal, so the 3rd angle cannot be equal.

Answer:

Two angle measures in a triangle are 47 and 43 so the remaining angle is 90 .

so it is a right angled triangle.

Step-by-step explanation:

Find $m\angle1$ and $m\angle2$ .

Answers

Answer:

m<1 = 125°

m<2 = 55°

Step-by-step explanation:

Okay, so we're dealing with alternate interior angles and all that sorta stuff, so I'll try to explain it best I can, if I'm too confusing let me know, let's go:

So the angle labeled 125° and angle 1 are alternate interior angles, so they're equal (yes, we're ignoring the fact that that might not me right because the other line isn't straight, I don't have another solution okay) anyways, so that means that:

1 = 125°

Now we know what 1 and 2 are on the same plane or axis or something like that, so basically, 1 and 2 HAVE TO add up to 180°, so that means that:

125 + x = 180

And now we just have to do the inverse operations thing:

180 - 125 = 55

So, m<1 = 125° and m<2 = 55°

tell me if this is wrong so I can fix it

hope this helps:)

Which of the following is the correct order of the polynomial 4x^ 2 -6x^ 4 -x+2x^ 5 +1?

Answers

4x^2-6x^4+2x^5-x+1 is the correct order

Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit

Answers

Answer:

B) -35

Step-by-step explanation:

-35 is the correct answer

6. Simone was timing John, Johnny and
James to see who could hold their breath
the longest. John held his breath for 10
seconds, Johnny held his breath for 15
seconds and James for 25 seconds. For how
much longer than John and Johnny did
James hold his breath?​

Answers

Answer:

hgyjhudhehd

Step-by-step explanation:

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