f(x) = 2x³ + 6x² - 5x - 3
H
g(x) = 3x - 4
Find (f - g)(x).
A. (f - g)(x) = 2x³ + 6x² − 8x +1
B. (f- g)(x) = 2x³ + 6x² - 2x + 1
O c. (f-g)(x) = 2x³ + 6x² − 2x - 7
OD. (f- g)(x) = 2x³ + 6x² − 8x - 7
-

The table of values that could be used to graph g(x), a reflection of f(x) across the x-axis is table (c)

From the question, we have the following equation that can be used in our computation:

f(x) = One-third(6)x

When this statement is represented as an equation, we have the following representation

f(x)= 1/3(6)ˣ

The transformation is given as

A reflection of f(x) across the x-axis

This means that

g(x) = -f(x)

So, we have

g(x) = -1/3(6)ˣ

What this means is that the values of f(x) are negated to get g(x)

The table that represents this is table (c)

Hence, the table of values is table (c)

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Answer: C

Step-by-step explanation:

Using the given function, the income for day 31 is

the total Income for working 31 days is

Using the given function an = a1 (r)^n-1

where

a1 = first day = 1

r = common ratio = 2

The income on day 31, n = 31

= 1 * 2^(31 - 1)

= 2^30

= 1,073,741,824 cents

= $10,737,418.24

Total Income for working 31 days n = 31

Using Sn= a1 (1-r^n) / 1 - r

Sn = (1 * (1 - 2^31)) / (1 - 2)

Sn = (1 - 2^31)) / - 1

Sn = (1 - 2147483648) /-1

Sn = 2147483647

Sn = 2,147,483,647 cents

Sn = $21 474 836.47

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Answer:

D x = 3 y = 4

(3.4)

Step-by-step explanation:

See below

The discount percentage offered on the new video game as of a sale is 75%.

For the stated question-

The listed price on the video game = $46.

price paid exclusive of tax = $34.50.

Let 'x' be the percentage discount of the listed price.

Then,

x% of 46 = 34.50

x = 34.50 x 100 / 46

x = 75%

Thus, the discount percentage offered on the new video game as of a sale is 75%.

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The equation of the line with y - intercept (0, 6) is [tex]y = -\frac{3}{2}x + 6[/tex].

What is tangent?

The straight line that "just touches" the curve at a given point is referred to as the tangent line to a plane curve in geometry. It was defined by Leibniz as the path connecting two points on a curve that are infinitely close together.

Given:

Graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6.

That is there are two points (4, 0) and (0, 6).

From these two points we have to find the slope of the line.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-6}{4-0} = -\frac{6}{4} = -\frac{3}{2}[/tex]

Now to use point slope form of the line.

[tex]y-y_1 = m(x-x_1)\\ y - 6 = -\frac{3}{2}(x-0)\\ y - 6 = -\frac{3}{2}x\\ y = -\frac{3}{2}x + 6[/tex]

Hence, the equation of line is, [tex]y = -\frac{3}{2}x + 6[/tex].

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The amount you have after 18 months is $ 1143.96 .

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

[tex]A=P {(1 +\frac{r}{n})^{nt} }[/tex]

Given:

P = 1000 , r in decimal  = 0.09 ,

n = 12 ,  t = 1.5 ( 18 months = one and a half years).

Substituting the values into the formula:

A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]          

  ≈ 1000 ( 1.143960 )          

  = 1143.960

Rounding to the nearest cent, we get $ 1143.96 .

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Hence, the solution is [tex]-11[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

[tex]5(2x - 1) - 11x[/tex]

When [tex]x=6[/tex]

[tex]5(2x-1)-11x=5(2(6)-1)-11(6)\\=5(12-1)-66\\=5(11)-66\\=55-66\\=-11[/tex]

Hence, the solution is [tex]-11[/tex].

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The extra amount that the store would have to pay for buying 2 hardcover and 4 paperback books instead of her original plan is $1.51

The paper back books have a discount of 25%

hence we what would be paid for in such category would be 1 - 25% charge = 75 %

price of hardcover = 17.95

price of paperback = 9.95 dollars

Isa bought 2 hardcover and 4 paper back

we are to find the cost of these items

2 x 17.95 + (4 x 9.95 x 75%)

= 35.9 + 29.85

= 65.75

We have to find the cost of the initial plan of  2 hardcover and 3 paperback books.

2 x 17.95 + 3 x 9.95 x 0.75

35.9 + 22.3875

= 58.29

This is less than 59 dollars, she would have to pay the shipping fee.

58.29 +  $5.95

= 64.23

The extra amount that she has had to pay for going with  2 hardcover and 4 paperback books is:

65.75 - 64.23

= 1.51 dollars

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Answer:

A.

Step-by-step explanation:

the symbol means "congruent".

that means that both shapes have the same angles and the custodian same side lengths (even if the shape is turned in sine way, to you can reorient in a way, so that it will cover the other shape 1:1).

the only triangle with the same measurements everywhere is A. triangle EFG.

B and C (RST and XYZ) are similar triangles with ABC. the angles are the same, and all side lengths have the same scaling factor to the other shape.

D (KLM) is nothing at all to ABC.

The natural logarithms of the given questions are f(e⁴) = 4, f(e ㏑ 5) = 5, and f(e³ ㏑ 5) = -0.5108.

What is the natural logarithm?

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given,

f(x) = ln x,

a) f(e⁴)

f(e⁴) = In(e⁴)

= 4In(e)

= 4 * 1

f(e⁴) = 4

b) f(e ㏑ 5)

= f(e⁻⁵)

= [tex]f(e^{\frac{1}{5} })[/tex]

= In(1) - In(e⁵)

= 0 - 5In(e)

= 5*1

f(e ㏑ 5) = 5

c) f(e³ ㏑ 5)

[tex]= f(e^{\frac{3}{5} })[/tex]

=  In(3) - In(e⁵)

= ln(3) - ln(5)

f(e³ ㏑ 5) = -0.5108

Hence, The natural logarithms of the given questions are f(e⁴) = 4, f(e ㏑ 5) = 5, and f(e³ ㏑ 5) = -0.5108.

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The answer you are looking for would be 44.

Here,

The number lies between 41 and 46 are 42, 43, 44, and 45

From the straightforward observation and according to the condition that must be divisible by 2 and 11 there is only one number that is divisible by both 2 and 11 is 44.

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I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Supplementary angles are angles that have a sum of 180 degrees. They are formed on a straight line.

Looking at the given diagram, we can notice how angle SUV and SUT are supplementary angles. We know this because they form the straight line, VT.

We are given angle SUT, which is 58 degrees.

Because angles SUV and SUT have a sum of 180 degrees, we can solve for angle SUV by subtracting 58 from 180:

180 - 58 = 122

Therefore, angle SUV is 122 degrees.

122 degrees

Answer:

Angle SUV = 180 - 58

= 122° (adjacent angles on a straight line)

Answer:

8.35

A company orders 25 boxed lunches from a deli for $208.75

Given:

[tex]25\\208.75[/tex]

We need to find the cost.

Therefore, we need to work on the numbers we are given:

Therefore, the unit cost is 8.35

Answer:

Step-by-step explanation:

30,248.35

The predicted number of coffee sales, in hundreds of dollars, for an average daily temperature of 32 degrees is of:

63.34.

The definition of the line of best fit in this problem is given as follows:

y = -0.68x + 85.1.

The variables in the context of this problem are defined as follows:

Hence, for an average daily temperature of 32 degrees, the estimate of the number of coffee sales is given as follows:

y = -0.68(32) + 85.1 = 63.34 thousand dollars.

The problem is incomplete and is given by the image at the end of the answer.

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Answer: 47

Step-by-step explanation: Let's call the number of chairs Liam has x. We can set up the following equations to represent the problem:

7r = x - 5

5r = x - 17

Where r is the length of each row.

To solve for x, we can set the two equations equal to each other:

7r = x - 5

5r = x - 17

Then we can solve for x by combining like terms and solving for the value of x:

7r - 5r = x - 5 - x + 17

2r = 12

r = 6

We can substitute the value of r back into either of the original equations to solve for x:

7r = x - 5

7 * 6 = x - 5

x = 47

Therefore, Liam has 47 chairs.

Answer: The answer is y=10.

Step-by-step explanation:

4y + 10 = -10 + 6y First subtract 4y from both sides.

10 = -10 + 2y Then, add 10 to both sides.

20 = 2y Finally, divide both sides by 2.

y = 10.

Answer:

A peace sign has one line of symmetry.

The one line is up and down in the center.

Hope this helps! :D

Step-by-step explanation:

As per the question, the solution to the equation f(x) = a(x-h)2+k is y = 3(x+5)2 -1.

Equations are mathematical expressions with two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be similar to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a simple fundamental equation.

As per the given values mentioned in the question,

a=3, b=30, c=74.

To fix this issue, employ the Vertex Formula,

(-b/(2a)) , f(-b/(2a))

-b/(2a)

= -(30)/(2 × 3)

h = -5.

f(-b/(2a))

= 3(-5)² + 30(-5) + 74

k = 75 +-150 +74

k = -1.

Vertex, V = (h,k)

V = (-5,-1).

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Answer:

He saved $121

Step-by-step explanation:

All you have to do is divide $726/6 which gives you $121.

The largest possible area will be 14400 meters², the pen's length should be 120 meters, and the width should be 120 meters.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

Let's assume that the length of the pen would be x.

We have been given the perimeter as 480 meters.

Let w be the width of the rectangle  and l be the length of the rectangle

The perimeter of a rectangle = 2(l+w)

So, 480= 2(x + w)

240 = x + w

w = 240 - x

Length = x and width = (240 – x)

Area = x(240 - x) = 240x - x²

To get the maximum area, we equate the first derivative of the area to zero.

A = 240x - x²dA/dx = 240 - 2x = 0

2x = 240

x = 120

So, width = 240 – x = 240 – 120 = 120.

Maximum area = length × width

Maximum area = 120 × 120 = 14400 meters²

Thus, the pen should be 120 meters long and 120 meters wide, with a maximum possible area of 14400 meters².

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Answer:

B. y > 4x + 2

Step-by-step explanation:

The area of the graph above the dotted line is shaded; therefore, this inequality is greater than. The dotted line's slope is 4, hence x is multiplied by 4, and its y-intercept is at 2, hence + 2 on the right side.

Answer:

t = 60

t/4+5=20

Step 1:

multiply both sides of equation by 4 to separate t from the fraction t/4.

t + 20 = 80

Step 2:

Subtract 20 from both sides of the equation ( you have to put constant values on the same side)

t= 80 - 20

Step 3:

Do the math

80-20=60 so t=60

Step-by-step explanation:

hope this helps! please give brainiest ^^^

Answer: 1001000

Step-by-step explanation:

IF A= 65

   H=72

   BINARY OF H= 72 = 1001000

Step-by-step explanation:

Firstly we determine how many people clara will reach in 40 phone calls.

6 people=12 calls

X people=40 calls.

make X the subject of the formula.

X=(6×40)÷12=20

So clara will reach 20 people in 40 phone calls.

Now lets determine how many people Toby will reach in 40 phone calls.

7 people=13 calls

Y people=40 calls.

Therefore making Y the subject of the formula we have,

Y=(7×40)÷13=21 people.

So toby will reach more people in 40 calls

well, the decrease is really 30000 - 24500 = 5500.

now, if we take the 30000 to be the 100%, what is 5500 off of it in percentage?

[tex]\begin{array}{ccll} a&b\\ \cline{1-2} 30000 & 100\\ 5500& x \end{array} \implies \cfrac{30000}{5500}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 60 }{ 11 } ~~=~~ \cfrac{ 100 }{ x }\implies 60x=1100\implies x=\cfrac{1100}{60}\implies x=\cfrac{55}{3}\implies x=18\frac{1}{3}[/tex]

Answer:

$4.84 per pound

Step-by-step explanation:

divide 12.10 by 2.5 and you get 4.84, which is the price per pound

Answer:

12.1 × 2.5 = 30.25

Step-by-step explanation:

12.1 × 2.5

12.1 has 1 decimal place

2.5 has 1 decimal place

Therefore, the answer has 2 decimal places

= 30.25