F(x)=5x-2 & g(x) =1-2x find f/g(c)


Answer these 2 questions please

F(x)=5x-2 & G(x) =1-2x Find F/g(c)Answer These 2 Questions Please

Answers

Answer 1

9514 1404 393

Answer:

(a)  9x -10x^2 -2(c)  25

Step-by-step explanation:

1) (fg)(x) = f(x)·g(x) = (5x -2)·(1 -2x)

  = (5x)(1) -(2)(1) +(5x)(-2x) +(-2)(-2x)

  = 5x -2 -10x^2 +4x

  = 9x -10x^2 -2 . . . . matches A

__

2) (f+g)(-2) = f(-2) +g(-2) = (-5(-2) +1) +(-6(-2) +2)

  = 10+1 +12 +2 = 25 . . . . matches C


Related Questions

Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.

Answers

[tex]\\ \sf\longmapsto tan40=\dfrac{P}{430}[/tex]

[tex]\\ \sf\longmapsto 0.83=\dfrac{P}{430}[/tex]

[tex]\\ \sf\longmapsto P=430(0.83)[/tex]

[tex]\\ \sf\longmapsto P\approx361m[/tex]

P=Height of tower

The freshman class is planning a picnic. The cost of a permit to use the park is
$250. To pay for the permit, there is a fee of $.75 for each freshman and $1.25 for
each guest who is not a freshman. Two hundred freshman plan to attend. How many
guests must attend in order to at least pay for the permit? Let g represent the number
of guest attending.

Answers

Answer:

80

Step-by-step explanation:

Permit : $250
Fee for freshies : $0.75
Fee for non-freshies: 1.25

If you have 200 freshman coming , you would multiply 0.75 X 200= $150

Now how many non-freshies need to show up to meet the $250 permit?

250(permit) - 150= $100

$100 divided by $1.25 = 80 non-freshies would need to show up , enabling to pay the full of the $250 permit fee

HELP FAST A vertical slice through a three-dimensional solid produces a two-dimensional shape. (shape is a triangle)

Answers

Answer:

the surface of "C" would be a triangle if sliced vertically

Step-by-step explanation:

If  vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism, option C is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

If a vertical slice through a three-dimensional solid produces a two-dimensional shape which is a triangle, it means that the solid has a triangular cross-section.

In other words, the cross-section of the solid that is perpendicular to its base is in the shape of a triangle.

A triangular prism is a solid shape that has a triangular cross-section. If you were to take a vertical slice through the prism, the resulting two-dimensional shape would be a triangle.

Hence, if  vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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three times the difference of a number cubed and 10 in algebraic expression

Answers

Answer:

3 × x³ - 10

Step-by-step explanation:

three times = 3×

difference = -

number cubed (unknown so we use x) = x³

10 = 10

Hope this helps!

I'm sorry if wrong :(

can somebody please explain how to do this:)​

Answers

[tex]\\ \sf\longmapsto \dfrac{sin40.sin120}{sin110-sin340}[/tex]

[tex]\\ \sf\longmapsto \dfrac{sin(90-50).sin(90+30)}{sin(90+20).sin(360-20)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{cos50.cos30}{cos20.(-sin20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{cos50cos30}{-sin20cos20}[/tex]

[tex]\\ \sf\longmapsto -\dfrac{cos30cos50}{sin20cos20}[/tex]

express 2/3 of a straight angle into radian?

Answers

Straight angle=180°

[tex]\\ \sf\longmapsto \dfrac{2}{3}\:of\:180[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}\times 180[/tex]

[tex]\\ \sf\longmapsto 2(60)[/tex]

[tex]\\ \sf\longmapsto 120[/tex]

Convert to radians

[tex]\\ \sf\longmapsto 120\times \dfrac{\pi}{180}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2\pi}{3}rad[/tex]

Please help explanation if possible

Answers

Answer:

r/2 = w

Step-by-step explanation:

r = 2w

Divide each side by 2

r/2 = 2w/2

r/2 = w

V = (pi r^2 h/3)...solve for h​

Answers

Answer:

h = (3×V)/ (pi×r²)

Step-by-step explanation:

[tex]v = \frac{\pi {r}^{2} h}{3} [/tex]

[tex]3 \times v = \pi {r}^{2} h[/tex]

[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]

If x≠0, which expression is equivalent to this expression?

Answers

Answer: [tex]x^{2/3}[/tex]

Step-by-step explanation:

Here radical rule is that [tex]\sqrt[n]{x^{m} } = x^{m/n}[/tex]  ;  [tex]x\neq 0[/tex] so

[tex]\sqrt[4]{x^3} = x^{3/4}[/tex]

>>[tex](x^{3/4})/x^{1/12}[/tex]

>>[tex]x^{2/3}[/tex]


Which number comes first when the numbers are listed from least tò greatest?

Answers

Answer:

the least

Step-by-step explanation:

Answer:

-∞

Step-by-step explanation:

Negative numbers are the smallest on the number line. Since the number range is not specified -∞ would be a preferred answer.

The graph of f (x) is shown which is the axis of symmetry of the graph f (x)

Answers

Answer:

B) x = 3

Step-by-step explanation:

This is the axis of symmetry because the graph is symmetric in this line

1. 3x + y = -3
What is the x intercept

Answers

Answer:

Step-by-step explanation:

When calculating x-intercept, always think: y=0.

Putting this into the formula creates:

3x+0 = -3

3x = -3

x = -1

A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of
the car (assume uniform acceleration).

Answers

Answer:

57.12 m

Step-by-step explanation:

velocity= distance/time

distance= velocity×time

=22.4×2.55

=57.12 m

Answer:

d = 28.6 m

Step-by-step explanation:

Given:

vi = 22.4 m/s

vf = 0 m/s

t = 2.55 s

Find:

d = ??

d = (vi + vf)/2 *t

d = (22.4 m/s + 0 m/s)/2 *2.55 s

d = (11.2 m/s)*2.55 s

d = 28.6 m

Help with the length of the third side?

Answers

Answer:

C. c = 10

Step-by-step explanation:

You have to use the Pythagorean theorem:

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10

Answer:

c = 10

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 + 8^2 = c^2

36+64= c^2

100 = c^2

Take the square root of each side

sqrt(100) = sqrt(c^2)

10 -c

!!I’LL GIVE BRAINLIEST!! What additional information would you need to conclude that DE is the perpendicular bisector of AC?

Answers

Answer:

I believe that the answer is NONE the right angle at B should be enough information to prove that DE is ⊥ to AC

Step-by-step explanation:

By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If two triangles are congruent, then the ratio of the corresponding sides will be ONE.

The line DE is the perpendicular bisector of AC. Then we have

In triangles ΔABD and ΔCBD,

DB = DB (Common side)

∠ABD = ∠CBD = 90°

AB = BC (Bisector length)

By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

4 - 2(x-4)/ 3= 3(2x+5)/2
linear equation in one variable
no spamms❌❌❌❌​

Answers

Step-by-step explanation:

4-2x+8/3 = 6x+15/2

12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)

20-2x/3=6x+15/2

Do cross multiplication

2(20-2x) = 3(6x+15)

40-4x=18x+45

-4x-18x=45+40

-22x= 85

-x= 85/22

x= - 3.86..

hope it helps

What is the sum of 9.8 and 12.05 please i need help

Answers

The answer is 21.85.
The answer would be 21.85

n÷102=0.123
What is the value of n

Answers

Answer:

n = 12.546

Step-by-step explanation:

to find the value of n we need to transpose

n ÷ 102 = 0.123

n = 0.123 × 102

n = 12.546

It is 12.546. You multiply 0.123 times 102

In a series of three numbers, the second number is 3 less than the first, and the third is three times the second. If the first number is
x,
how much greater than the second number is the third number
third number?

Answers

2x - 6 using basic algebra

The manager of a theater wants to know whether majority of his patrons are adults or children. One day, 5400 tickets were sold and the receipts totaled $41,616. The adults admission is $9.50, and the children's admission is $6.50. How many adults patrons were there? ​

Answers

Answer:

2,172 adults

Step-by-step explanation:

Let adults = x

children = y

x + y = 5400

9.5x + 6.5y = 41,616

Let's use the elimination method to solve this.

Multiply the top equation by -6.5

(x + y = 5400)-6.5

-6.5x - 6.5y = -35100

This will allow us to eliminate the y and add up the other terms

9.5x + 6.5y = 41,616

-6.5x - 6.5y = -35100

3x = 6516

Divide both sides by the coefficient, 3, to isolate the variable, x

3x/3 = 6516/3

x = 2172

if f(X+4) =3x+2 ,then find the value of f(4) please explain our answer in a clear way​

Answers

[tex]\\ \sf\longmapsto f(x+4)=3x+2[/tex]

Taking y=x+4 so x=y-4

[tex]\\ \sf\longmapsto f(y)=3(y-4)+2[/tex]

[tex]\\ \sf\longmapsto f(y)=3y-12+2[/tex]

[tex]\\ \sf\longmapsto f(y)=3y-10[/tex]

Hence

[tex]\\ \sf\longmapsto f(x)=3x-10[/tex]

So

[tex]\\ \sf\longmapsto f(4)=3(4)-10[/tex]

[tex]\\ \sf\longmapsto f(4)=12-10[/tex]

[tex]\\ \sf\longmapsto f(4)=2[/tex]

Answer: 2

hi,

Step-by-step explanation:

[tex]f(x+4)=3x+2\\\\Let\ say\ y=x+4\ or\ x=y-4\\\\f(y)=3*(y-4)+2=3y-12+2=3y-10\\\\so\ f(x)=3x-10\\\\and\ f(4)=3*4-10=12-10=2\\[/tex]

g(r) = -1 - 77
g(6)=

Answers

Answer:

g(6) = -1 -77

because the expression doesn't have r

Step-by-step explanation:

I need helppppp plus!!!!

Answers

1. Italy
2.-4
3. Italy

Solve: XXVI - IV. Show your answer in standard form. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V x L lulolz A) 22 B) 20 C) 19​

Answers

Answer:

22

Step-by-step explanation:

these i can do keep sendin em in

Answer:

22

b/c XXVI - IV

(26 - 4 )

=22

factor of -2800 and -2

Answers

Step-by-step explanation:

factors of -2 = -1 and -2

factors of -2800 = -1 -2 -4 -5 -7 -8 -10 -14 -16 -20 -25 -28 -35 -40 -56 -70 -80 -100 -112 -140 -175 -200 -280 -350 -400 -560 -700 -1400 -2800

MARK AS BRAINLIST IF IT IS USEFUL

-2/3y - 3/4 = 5? with work please!

Answers

Answer:

-69/8

Step-by-step explanation:

-2/3y - 3/4 = 5

-2/3y = 23/4

y = -69/8

If hexagon ABCDEF is similar to hexagon KLMNOP, which of the following must be true?

Answers

Step-by-step explanation: Similar figures have the same shape, but not necessarily the size. If two figures are similar, then their corresponding angles are congruent so <E ≅ <O because these are the corresponding angles in the similarity statement.

Answer: <E ≅ <O

Step-by-step explanation:

The insects, birds, snakes, and plants that live in a local wetland make up a
A. molecule
B. organism
C. population
D. community

Answers

The answer is D because it’s a community of different animals and plants. It’s not C because population is only for one type of animals or plants

How do I write 5,248,663,711 in expanded form

Answers

Answer:

5,000,000,000+200,000,000+40,000,000+8,000,000+600,000+60,000+3,000+700+10+1

Step-by-step explanation:

5,000,000,000 + 200,000,000+ 40,000,000+ 8,000,000+ 600,000+ 60,000+ 3,000

+ 700 + 10 + 1

DF is the altitude to the hypotenuse EC. What is the length of DE?

Select the best answer from the choices provided.
A. 3
B. 6
C.12
D. 24

Answers

Answer:

D

Step-by-step explanation:

Using the Altitude- on- hypotenuse theorem

DF² = CD × DE , substitute values

12² = 6 DE

144 = 6 DE ( divide both sides by 6 )

24 = DE → D

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