What is the range of function g if g(x) =-2f(x-3)

To solve the problem we must know about the Like terms and expressions.

In mathematics, an expression is a set of numbers, variables, and mathematical operations formed according to rules.

Given ;

[tex]3x(x - 12x) + 3x^2 - 2(x - 2)^2[/tex]

To  solve the algebraic expression,

[tex]3x(x - 12x) + 3x^2 - 2(x - 2)^2\\\\3x(x - 12x) + 3x^2 - 2(x^2 - 4x + 4)\\\\3x(x - 12x) + 3x^2 - 2x^2 + 8x - 8\\\\3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8\\\\-33x^2 + x^2 + 8x - 8\\\\\\-32x^2 + 8x - 8\\[/tex]

To solve the problem we must know about the Like terms and expressions.

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The amount of plywood needed by Trenton = total surface area of the triangular prism-shaped ramp = 21 ft².

Total surface area of a triangular prism = (perimeter of triangular base × length of prism) + 2(area of triangular base) = (s1 + s2 + s3 × L) + 2(1/2 × b ×h).

The amount of plywood needed to cover the ramp = total surface area of the triangular prism-shaped ramp.

We are given the parameters:

Total surface area of the triangular prism-shaped ramp = (s1 + s2 + s3)L + 2(1/2 × b ×h) = (2 + 1.5 + 2.5)3 + 2(1/2 × 2 ×1.5)

= (18) + (3)

Total surface area = 21 ft²

Trenton will need 21 square feet of plywood.

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[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ \sqrt{49}=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}[/tex]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

[tex]f(x) = (x - (7 + i)) (x - (5 - i))[/tex]

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

[tex]f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))[/tex]

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

[tex]f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48[/tex]

Answer:

C on edge 23

Step-by-step explanation:

because i said so

Answer: pass 12 fail 12 passes 15 fail1 3

Step-by-step explanation:

pass 12 fail 12

pass 15 fail 13

Answer:

[tex] x = - 12[/tex]

Step-by-step explanation:

[tex]5x + 6 = 2(2x - 3) \\ 5x + 6 = 4x - 6 \\ 5x - 4x = - 6 - 6 \\ x = - 12[/tex]

To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.

The main purpose of the 14th Amendment is to guarantee and protect the citizenship and rights of African Americans.

The 14th Amendment was ratified in 1868, and it granted citizenship to all the people that born or naturalized in the United States.

This was a particularly significant development for former slaves.

This is to give them equal protection from the laws.

To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.

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Using an exponential function, it is found that her total profit for the first ten years is of $422,426.72.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem, we have that the initial value and the growth rate are given as follows:

A(0) = 31124, r = 0.06.

Hence the profit function is given by:

[tex]P(t) = 31124(1.06)^t[/tex]

Then, the total profit over the first 10 years is given by:

[tex]\int_{0}^{10} P(t) dt[/tex]

[tex]\int_{0}^{10} 31124(1.06)^t dt[/tex]

[tex]\frac{31124}{\ln{1.06}} \times (1.06)^t|_{t = 0}^{t = 10} = 422,426.72[/tex]

Thus, her total profit for the first ten years is of $422,426.72.

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Answer:

(x - 8)(x - 3)=0

x - 8=0 or x - 3=0

x =8 x =3

Answer:

If you are asking if that's correct then yes it is

Step-by-step explanation:

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

[tex]\blue{\rule{50pt}{999999pt}} \purple{\rule{50pt}{999999pt}} \

\green{\rule{27pt}{999999pt}} \blue{\rule{10pt}{999999pt}} \

[/tex]

Answer:

Let b the cost of the manicure

15% of b= 5.10$

15% × b= 5.10$

b= 5.10×100/15

b= 34$

Answer:

answer is c (0,2)

hope it helps

Done!

Based on the function given of y = 2.5x, the true statements are:

The equation y = 2.5x is a proportional relationship because y increases by a certain amount when x increases. That amount is shown by the slope of the line which is 2.5.

For instance, if there is a change of 2 in x, the change in y would be:

= 2.5 × x

= 2.5 x 2

= 5

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Subtraction is a mathematical operation that reflects the removal of things from a collection. The amount by which Rico weighs more than Biscuit is 23.6 kilograms.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given Rico weighed 45.7 kilograms, Mocha weighed 15.5 kilograms, and Biscuit weighed 22.1 kilograms. Therefore, the amount by which Rico weighs more than Biscuit is,

Difference = 45.7 kgs - 22.1 kgs = 23.6 kgs

Hence, the amount by which Rico weighs more than Biscuit is 23.6 kilograms.

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[tex]9-\underline{9\div 9} + 9 - \underline{9 \div 9}\implies 9-\underline{1}+9-\underline{1}\implies 8+9-1\implies 17-1\implies 16\\[/tex]

recall PEMDAS, MD are before AS, and both are performed from left to right.

Answer:

20

Step-by-step explanation:

first lets apply PEMDAS

[tex]9 - (9 \div 9) + 9 - (9 \div 9) [/tex]

9 ÷ 9 = 1

1 × (-) = -1

9-(-1)= 10

( than do the same for other side )

and than you get

[tex]10 + 10[/tex]

the answer is 20

The ball's maximum height is 30.25 feet.

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.

Given:

h= -16t²+36t+10

Differentiate w.r.t. 't',

h' = -32t+36

When h=0, that will be the maximum height

32t= 36

t= 9/8

t= 1.125 sec.

So, The maximum height is

h(1.123)= -16(1.125)² + 36*1.125+10

h(1.125) = 30.25 feet.

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Answer:

C

Step-by-step explanation:

[tex]\frac{25!}{(25-3)!} =13800[/tex]

Answer:

1. Dogs are generally heavier than the cats.

2. The dogs have a much larger variety in their weights and size than cats.

Step-by-step explanation:

The dividend per share of common stock is $1.46.

The first step is to determine the total value of the dividends that was paid to the preferred stock holders.

Total value = 400,000 x $0.70 = $280,000

The total value of the common stock dividends = $4,300,000 - $280,000 = $4,020,000

Dividend per share = 4,020,000 /  2,750,000 = $1.46

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If Frank says that he typically makes about $27 per day because the mode is 27. Yes, Frank's conclusion is appropriate. And mean is 28.

The complete question is given below.

Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.​

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

The data is given below.

25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28.

The measures of center and variability that best summarize Frank's data will be

Mean = (25+30+24+20+20+22.5+75+27+27+22+22+27+22.5+28) / 14

Mean = 392 / 14

Mean = 28

If Frank says that he typically makes about $27 per day because the mode is 27.

Yes, Frank's conclusion is appropriate.

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Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

The true statement is the cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.

In store 1, the cost of 1 pound of steak is $6.75.

Cost of 1 pound of steak in store 2 is 15 /2 = $7.50

Difference in the cost : $7.50 - $6.75 = $0.75

Here is the complete question:

The equation y = 6.75x models the cost, in dollars, to purchase x pounds of steak at grocery store 1. This table shows the cost to buy different weights of steak at grocery store 2.

Cost of Steak at Grocery Store 2

Weight (pounds) Cost

2..........................$15.00

3..........................$22.50

5......................... $37.50

9......................... $67.50

Which statement is true?

answer choices

The cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.75 more per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.50 less per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.50 more per pound than at grocery store 2. R

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Answer:

x=5 and y=7

Step-by-step explanation:

Just substitute in y=x+2 into the equation 5x-4y=-3 to get 5x-4(x+2)=-3 which simplifies to x=5. Substitute x into y=x+2 to find y=7

Answer: Given y=3x-3, find y if x=4

              y=3x-3

              x=4

              y=3(4)-3

              y=12-3

              y=9

Step-by-step explanation: hopes this helps

                                        please mark me as a brainliest

Step-by-step explanation:

all that means is that the radius is 5 meters, and that we are looking for the length of the circle arc that represents 90° of the whole circle (360°).

90/360 = 1/4

so, we need 1/4 of the circle circumference :

2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi × 5/2 =

= 7.853981634... m

therefore, the third answer is correct.