what is
[tex]f(x) = 2x - 3[/tex]
And
[tex]g(x) = 6 - x[/tex]

Answers

Answer 1

Answer:

Solution

Correct option is C)

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)


Related Questions

i need help with this math question

Answers

Answer:

  D.  f(x) = -6x^3 -5x^2 +21x

Step-by-step explanation:

The given zeros mean the function has factors ...

  (x -(-7/3))(x -3/2)(x -0)

Multiplying by 6, we can write this as ...

  (3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x

And multiplying by -1 gives ...

  -6x^3 -5x^2 +21x . . . . . matches choice D

__

Additional comment

The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).

David got $130 for his birthday. He spent 20% of that on a pair of shorts. He wants to save ¼ of what he has left. How much does he want to save

Answers

Answer:

26

Step-by-step explanation:

130-20%=104

25% of 104 is=26

lines y = -x+2 and y=x+1
point of intersection of the linear equations is

(0,2)
(0.5, 1.5)
(-1,0)
(2,0)

Answers

[tex]\\ \sf\Rrightarrow y=-x+2[/tex](1)

[tex]\\ \sf\Rrightarrow y=x+1[/tex](2)

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

ill give a braineist if answered... CORRECTLY

Answers

0.5x+0.3y>=3
sorry I don't know how to make the less
than or equal to sign
Step-by-step explanation:
he can buy X amount of gumballs if he
buys Y amount of jawbreakers and that will
be less than or equal to $3
to graph, you must plug the number O into
the X spot and solve.
0.5(0) +0.3y>=3
next plug in for Y
0.5x+0.3(0) >=3
plot these two points on the graph and
draw a line through them

Grayson is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 26


. If the string from the kite to his hand is 145 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The position of the kite with the point directly beneath the kite at the same

level with the hand and the hand for a right triangle.

The height of the kite above the is approximately 66.314 feet.

Reasons:

The height of his hands above the ground, h = 2.75 feet

Angle of elevation of the string (above the horizontal), θ = 26°

Length of the string, l = 145 feet

Required:

The height of the kite above the ground.

Solution:

The height of the kite above the ground is given by trigonometric ratios as follows;

[tex]\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}[/tex]

Therefore;

[tex]\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}[/tex]

The height of the kite above the, [tex]k_h[/tex] ≈ 66.314 feet

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Convert 34/8 to a decimal using long division

Answers

Answer:  Using a calculator, if you typed in 34 divided by 8, you'd get 4.25. You could also express 34/8 as a mixed fraction: 4 2/8.

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

is using a cancalator duh

Initial value of 100 increasing at a rate of 5%

Answers

Step-by-step explanation:

105 is now total final value

Answer:

105..................

1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?

Answers

Answer:

The expected value is -$126- you should not buy the warranty.

Step-by-step explanation:

You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.

E(x)= (2800-350)(.8)+(-350)(.92)= -126

Please help i've been stuck on this for awhile now-

Answers

Answer:

 3²

Step-by-step explanation:

The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.

  [tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]

_____

Additional comment

The exception is that 0 divided by itself is indeterminate.

what does it mean when the will says tomorrow it's ashes will be scattered to the four winds in the westing game

Answers

Answer:

In the document, Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance

Step-by-step explanation:

 

Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance.

What are the main events in The Westing Game?

The main events in the Westing Game include moving into Sunset Towers, the Halloween dare, the reading of Samuel Westing's will, and the pairing of teams. Finally, the solving of clues and ultimately solving the puzzle.

Who Wins The Westing Game?

Several years after that, Turtle stays with Sandy/Westing (as Eastman) while he really dies. She finally wins the prize and goes to play chess with her niece Alice.

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Write the equation of the line that passes through the points (-7,7) and (-6,-5)

Answers

Answer:

y= -12x - 77

Step-by-step explanation:

HOPE THIS HELPS

Can someone help me out?

Answers

Answer:

d

Step-by-step explanation:

Jack deposited a check into his account for $227.11. Then, he withdrew $227.11 in cash in the same transaction. What is the net amount of Jack's transaction? A. $454.22 B. $227.11 C. $0 D. -$227.11

Answers

Answer:

None because he took out all of the money he had

Step-by-step explanation:

(I made the same mistake once......)

The net amount of Jack's transaction is: $0.

So, the correct answer is C. $0.

The net amount of Jack's transaction can be calculated by subtracting the amount he withdrew from the amount he deposited.

Given:

Deposit amount = $227.11

Withdrawal amount = $227.11

Net amount = Deposit amount - Withdrawal amount

Net amount = $227.11 - $227.11

Net amount = $0

Hence, the net amount of Jack's transaction is: $0.

So, the correct answer is C. $0.

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Factors that are greater than 1/2 but less than one

Answers

6/8

Step-by-step explanation:

1/2 = 0.5

6/8 = 0.75

therefore, 0.75 > 0.5

what is the answer of 3125 ÷ 25 and show how you got the answer

Answers

Answer:

125

Step-by-step explanation:

because 3125 divided 25 equals 125.

how do you want me to show you how i divided?

Answer:

125 is the answer, you can check this by simply multiplying 125 by 25, which will give you 3125.

Step-by-step explanation:

Juan used 2/3 of his can of paint to paint his garage and 1/6 of his can
of paint to touch up things around the house. If he used 58 ounces of paint, how
much paint was in the can to start with? Round to nearest whole number. PLS HELP WILL DO ANYTHING

Answers

Answer:

the can contained a total of 69.6 oz

Step-by-step explanation:

First, we find the total amount he used.

2/3 + 1/6 = 4/6 + 1/6 = 5/6

He used 5/6 of the can.

He used 58 oz.

That means that 5/6 of the can equals 58 oz.

We don't know the size of the can, so let x = original number of ounces in can.

5/6 of can = 58

5/6x = 58

Multiply both sides of the equation by 6/5 to find x.

6/5 × 5/6x = 6/5 × 58

x = 69.6

Answer: the can contained a total of 69.6 oz

over the course of 12 hours the temperature changes a total of -16 Celsius what is the average change in the temperature in 1 hour​

Answers

Answer:

-1.33 degrees Celsius

Step-by-step explanation:

Divide -16 by 12.

Solve 7,030 ÷ 3 using the division algorithm ?????????????????

Answers

Answer: 2,343.3333 repeating, or just 2,343 1/3

Step-by-step explanation:

If you divide, your answer comes out to be 2,343.3333 repeating or 2,343 1/3.

Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​ lemon/crash data, where lemon imports are in metric tons and the fatality rates are per​ 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction​ worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15

Answers

The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.

Reasons:

First part;

The given data is presented as follows;

[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]

The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]

Where;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

[tex]\overline y[/tex] = The mean crash fatality = 15.52

[tex]\overline x[/tex] = The mean lemon import = 373.6

Therefore;

[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]

c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]

Second part;

When the imports is 425 metric tons of lemon, we have;

[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

The prediction is worthwhile

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3х + 9 = 2х + 5

is it no solutions, all real numbers, or does x equal something?

Answers

Answer:

x = -4

Step-by-step explanation:

Given Equation:3x + 9 = 2x + 5

Question:Whether x has one solution or infinite solutions or no solutions?

Solution:

=> 3x + 9 = 2x + 5

(On shifting like terms to one side we get)

=> 3x - 2x = 5 - 9

(On subtracting)

=> x = - 4

Result:

Hence, x has only one solution that is, x = -4 (Ans)

Topic : Linear equations in one variable

Given :

3х + 9 = 2х + 5

Solution :

[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]

Transposing variables on one side and constant terms on the other side, we get :

[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]

Hence, the x is equal to something which is (– 4)

Write 90 as a product of primes. Use index notation when giving your answer.​

Answers

Answer:

90 =3 × 3 × 5 × 2.

Step-by-step explanation:

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

90/2= 45
45/3= 15
15/3=5
5/5=1

90= 2*3*3*5 = 2*3 (raised to the power of 2) *5

6 Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75 SO
far and plans to save an additional $10.50 each week. For how many weeks will Petra need to
save $10.50 to have enough money to buy the electronic reader

Answers

Answer:

Petra would need to save for 12 weeks to get 126

126+34.75=160.75

Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.

Here, So far and plans to save an additional $10.50 each week.

Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x

So, We can formulate;

⇒ 10.50x + 34.75 = 160.75

Solve for x;

⇒ 10.50x = 160.75 - 34.75

⇒ 10.50x = 126

⇒ x = 126/10.50

⇒ x = 12

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What is 40% of 40 Million?A. 28,000,000B. 5,000,000C. 16,000,000D. 38,000,000

Answers

Answer: It is C 16,000,000

Step-by-step explanation: I am 100% sure.

Please help look at the picture below

Answers

Answer:

I’m sorry I don’t know

Step-by-step explanation:

☹️☹️☹️☹️☹️

please help me and NOOO LINKS

Answers

Answer:

whats the shape

Step-by-step explanation:

What is the value of 2^2n ?​

Answers

Answer:

2^2n = 4n

hope it helps you :)

Answer:

4n

Step-by-step explanation:

2^2n = 4n

hope u liked this answer :)


Troy assembles wooden toya at Tindall's Toy Shoppe. He is paid $1.46 for each snake, $1.11 ab each fan, and $1.74 for each teddy bear. Troy assembled 515 snakes, 982
fans and 669 teddy bears. What Is Troy's gross pay for this week? Round to the nearest cent.

Answers

Answer:

$3005.98

Step-by-step explanation:

did the math with calculator

What is the measure of <1?



What is the measure of <2?

Answers

Answer:

1) 98°

2) 65°

Step-by-step explanation:

Sum of the angles in any triangle = 180°

in first triangle the third inner angle =  180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°

The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°

1. Simplify 3(2x - y) + 6y.
5x + 7y
6x + 3y
2x + 3y
6x - 7y

Answers

Answer:

6x + 3y

Step-by-step explanation:

3(2x - y) + 6y ← distribute parenthesis by 3

= 6x - 3y + 6y ← collect like terms

= 6x + 3y

[tex]\huge\boxed{Hi\: there!}[/tex]

Here, we use the Distributive Property:

[tex]a(b+c)=ab+ac[/tex]

3(2x-y)+6y=6x-3y+6y

Combine like terms:

6x+3y

[tex]\huge\boxed{Therefore,\: our \:equation\: is:6x+3y}[/tex]

[tex]\huge\bf{Good \:luck \:with \:your \: studies! :)\\~Unknown Dreamer}[/tex]



find the values of x and y ????

show step plz​

Answers

Answer:

x= 90 degrees

y= 47 degrees

Step-by-step explanation:

Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.

So with this information, you know that the angle at the bottom left is also 47 degrees.

x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).

A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.

90+47+y=180

y= 43

[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]

First we can say [tex]x=90[/tex]°, since x is located at the right angle part.

Now we can make an equation

[tex]90+47+y=180[/tex]

subtract 137 from sides.

[tex]y=43[/tex]

_________________________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

[tex]x=90[/tex]° [tex]y=43[/tex]°

_________________________________

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