If f(x) = 3x+ 2 and g(x) = 2x-2, what is (f-8)(x)?

Answers

Answer 1

Answer: x + 4

Step-by-step explanation:

    If it is asking us for (f - g)x, then we will subtract the function g from function f. Why? The x distributes creating f(x) - g(x), so we use this to solve.

   Given:

g(x) = 2x - 2

f(x) = 3x + 2

   Set up:

f(x) - g(x)

(3x + 2) - (2x - 2)

   Distribute the negatie:

3x + 2 - 2x + 2

   Reorder to combine like terms:

3x - 2x + 2 + 2

   Combine like terms:

x + 4

    (f - g)(x) = x + 4


Related Questions

Line a is parallel to line b. If the measure of <7 is 114 , what is the measure of <1

Answers

Answer:

66

Step-by-step explanation:

A parallelogram is a four-sided figure
with two pairs of parallel lines. Find the
sum of the four angles of a parallelogram.

Answers

The sum of the parallelogram is 22 because I did the test

draw the line 3y-4x=12 for values of x from -3 to 3

Answers

Answer:

Step-by-step explanation:

Explanation:

Notice that the terms are linear or constant, so this equation represents a straight line.

We can find the intersections with the

x

and

y

axes by setting

y

or

x

equal to zero, or equivalently covering up the corresponding term and solving the resultant equation.

So putting

x

=

0

we get:

3

y

=

12

Dividing both sides by

3

, we find:

y

=

4

So the line intercepts the

y

axis (which has equation

x

=

0

) at the point

(

0

,

4

)

If we instead put

y

=

0

then we get:

4

x

=

12

What number comes
next in the pattern? The rule is "Multiply
the position number by itself." Describe a
feature of the pattern.
1,4,9,16,

Answers

Answer:

25 comes next

Step-by-step explanation:

okay so when it says "position" it means the numbers place in the order, for example "4" in this case would be the in the second position and "16" in the fourth position.

to get 1 you do: 1*1 because 1 is the first number and it is in the first (1) position.

To get the second number (4) you do: 2*2 because two is the second number (it comes after 1) and it is in the second position.

For 9, you do 3*3; the pattern here is squares, 1^2=1 2^2=4, 3^2=9, 4^2=16.

If we follow that pattern we will get 5^2=25

Multiplying by which number is equivalent to finding 80%?

Answers

Answer:

80% is equivalent to 80/100 which is the same as 0.8 and we can just take a number, for example 10, and we can multiply it by 0.8 and we would get 8 which is 80% of the original value.

10) A rhombus has a
diagonal 8.6 mm long
and an area of 81.7 mm. what is the
perimeter?


Answers

Answer:

P=41.72

Step-by-step explanation:

S=ACxDB/2

81.7=8.6xDB/2

81.7=4.3xDB|:4.3

19(mm)=DB

DO=19/2=9.5

OC=8.6/2=4.3

(O is the center of the rhombus, where two diagonals meet)

a²+b²=c² (DO²+OC²=DC²)

9.5²+4.3²=c²

90.25+18,49=c²

√108,74=√c²

c≈10.43

P=4c

P=4x10.43

P=41.72

Hope it helps:)

i need an answer quicklyy

Answers

Answer:

by Translation.

Using the photo it is (5/-8)

The solution to the problem

Answers

there so many question possibilities and the do many possibilities for answers

What are all the rational roots of the polynomial f(x) = 20x4 x3 8x2 x – 12? negative four-fifths and three-fourths negative four-fifths and negative three-fourths –1, negative four-fifths, three-fourths, and 1 –1, negative four-fifths, negative three-fourths, and 1

Answers

The root of the polynomial f(x) = 20x⁴ + x³ + 8x² + x - 12 is at the point -4/5 and 3/4

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the polynomial:

f(x) = 20x⁴ + x³ + 8x² + x - 12

The root of the polynomials is at the point the graph of f(x) intersects with the x axis. This is at -4/5 and 3/4

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Answer:

A

Step-by-step explanation:

Did it on edge :)))

The cost of hot drinks in a café is shown:
Cappuccino £2.40
Latte £2.60
Hot Chocolate £3.00
Coffee £2.00
Tea £1.80
adam buys a latte, 2 hot chocalates and a tea.
how much will the drinks cost in total?

Answers

Answer:

£10.40

Step-by-step explanation:

Latte = £2.60
2 Hot Chocolates = £6.00
Tea = £1.80
Total = £2.60 + £6.00 + £1.80 = £10.40

Answer:

£10.40

Step-by-step explanation:

Add the cost of the drinks together to find the total cost:

[tex]\begin{tabular}{r r}Latte & \£2.60\\Hot Choc & \£3.00\\ Hot Choc & \£3.00\\Tea & \£1.80\\\cline{1-2} Total & \£10.40\\\cline{1-2}\end{tabular}[/tex]

Stacy recorded the number of minutes she used her
smartphone each day for one week before using an
app that awards points for decreased phone usage,
and for one week after using the app. Stacy's
alternative hypothesis is Ha:X< 114.6.
Before 103 127 87 12495 136 130
After 83 94 1201057598 96
Stacy used a simulation to randomize her data 200
times. She found that the difference between sample
means over 200 trials is approximately normally-
distributed, with a mean of -0.2 and a standard
deviation of 9.1. Which of the following conclusions
is most appropriate?
Phone use did not change.
Phone use increased and then decreased.
Phone use increased.
Phone use decreased.

Answers

Using the t-distribution, it is found that the most appropriate conclusion for the hypotesis test is given by:

Phone use did not change.

What are the hypothesis tested?

At the null hypothesis, we test if the mean has not changed, that is:

[tex]H_0: \mu = 0[/tex]

At the alternative hypothesis, we test if it has changed, that is:

[tex]H_1: \mu \neq 0[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

In this problem, the values of those parameters are as follows:

[tex]\overline{x} = -0.2, \mu = 0, s = 9.1, s = 200[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{-0.2 - 0}{\frac{9.1}{\sqrt{200}}}[/tex]

t = 0.31.

What is the conclusion?

Considering a two-tailed test, as we are testing if the mean is different of a value, with a standard significance level of 0.05 and 200 - 1 = 199 df, the critical value is of [tex]|t^{\ast}| = 1.972[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:

Phone use did not change.

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Select all the rational numbers

Answers

Answer:

B. 3.14

C. .33

E. 3.46

remember rational number are can be measured from decimals and even fractions.

Please help me with this it's algebra WILL GIVE BRAINLIEST and 40 points

Answers

Answer:

y≥3x-2

Step-by-step explanation:

The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.

Answers

The accompanying table and the range rule of thumb show that 1 girl is a significantly low number of girls because 1 girl is less than the minimum value that is not significant.

How to depict the information?

x.        p(x).      xp(x).

0 0.002   0         0.0516

1 0.016 0.016 0.2665

2 0.039 0.078 0.3702

3 0.113 0.339 0.4894

4 0.205  0.82 0.2396

5 0.241 1.205 0.0016

6 0.196  1.176 0.1655

7 0.113 0.791 0.4161

8 0.041 0.328 0.3493

9 0.012  0.108 0.1843

10 0.022 0.22 0.5323

Total = 1   5.1         3.066

Maximum value of range will be:

= 5.1 + [2*1.75]

= 5.1 + 3.5

= 8.6

Minimum value of range will be:

= 5.1 - [2*1.75]

= 5.1 - 3.5

=1.6

Therefore, 1 girl is a significantly low number of girls, because 1 girl is less than the minimum value that is not significant.

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Carolina, with the intention of investing money in real estate, acquired a plot of land for R$ 350,000.00. Over four years, the asset underwent changes in its commercial value, as follows variations:

First year: 12% appreciation
Second year: 10% appreciation
Third year: 8% devaluation
Fourth year: 6% appreciation

Having this information as a reference, it is correct to say that at the end of the analyzed period this plot of land
will have the value of:

(A) BRL 329,000.00.
(B) BRL 372,901.76.
(C) BRL 420,000.00.
(D) BRL 420,506.24.
(E) BRL 437,754.24.

Answers

At the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24

What is appreciation and deprecation?

Deprecation, also called devaluation, is the decrement in price of an asset. Appreciation is opposite of deprecation. This indicates increment in the price of the considered thing.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

It is given that:

Initial price of the plot of land = $350,000First year: 12% appreciationSecond year: 10% appreciationThird year: 8% devaluationFourth year: 6% appreciation

Now, consider appreciation of an amount A by P%.

Then, we have:

Increased price = Initial price + P% of initial price

Increased price = [tex]A + \dfrac{A}{100} \times P = A \times \left(1 + \dfrac{P}{100} \right)[/tex]

Similarly, depreciated price by P% of an amount A is:

Decreased price = [tex]A - \dfrac{A}{100} \times P = A \times \left(1 - \dfrac{P}{100} \right)[/tex]

We've got: A = 350,000

After 1st year, which had 12% appreciation, we get:

[tex]A_1 =A(1 + 12/100) = A(1.12)\\[/tex]
After 2nd year, 10% appreciation we get:

[tex]A_2 =A_1(1 + 10/100) = A_1(1.1) = A(1.12)(1.1)\\[/tex]

After 3rd year, which had 8% devaluation effect on the price, we get:

[tex]A_3 = A_2(1 - 8/100) = A_2(1-0.08) = A_2(0.92) = A(1.12)(1.1)(0.92)[/tex]

After 4th year,  which had 6% appreciation effect on the price, we get:[tex]A_4 = A_3(1 + 6/100) = A_4(1+0.06) = A_3(1.06) = A(1.12)(1.1)(0.92)(1.06)[/tex]

Thus, the final effect on A is:

[tex]A \rightarrow A(1.12)(1.1)(0.92)(1.06) = A(1.2014464)\\\$350,000 \rightarrow 350000(1.2014464) = 420506.24\: \rm dollars[/tex]

Thus, at the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24

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If Madison had 10 apple and gave 3 away to Zack how many apples does she have

Answers

Answer:

7 i think because 10-3 =7

also 3+7 =10

Step-by-step explanation:

Answer:

Its 7 because it you do 10-3 it would equal up to 7

Step-by-step explanation:

Can some one please help me ?

Answers

Answer:

B. 13.5 in ^2

Just use the formula : 1/2 h ( a + b )

If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!

Mr. conner is placing stone tiles to make a patio. each tile is 1 square foot. the drawing shows the dimensions of his patio. a quadrilateral is broken into a triangle and rectangle. the triangle has a base of 20 feet and a height of 6 feet. the rectangle has a base of 20 feet and a height of 12 feet. how many total stone tiles will mr. connor need for the patio? 240 stone tiles 300 stone tiles 360 stone tiles 480 stone tiles

Answers

300 stone tiles would be needed to make a patio that has a total area of 300 ft²

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Area of triangle = (1/2) * base * height = 0.5 * 20 ft * 6 ft = 60 ft²

Area of rectangle = base * height = 20 ft * 12 ft = 240 ft²

Total area of patio = 60 ft² + 240 ft² = 300 ft²

Number of stone tiles needed = 300 ft² / 1 ft² = 300

300 stone tiles would be needed to make a patio that has a total area of 300 ft²

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Answer:

300

Step-by-step explanation:

B

Guys I need this really quickly please !!

Whats this as a ordinary number?

5x10-2

Answers

Answer:

0.035 3.5×10-²

Step-by-step explanation:

im sorry that is my answer thank you

What is the trigonometric ratio for sin Z?
Enter your answer, as a simplified fraction, in the boxes.

Answers

Answer:

[tex] \large { \purple{ \sf {The \: value \: of \: sin \: Z \: is} \sf \frac{3}{5} }}[/tex]

Step-by-step explanation:

[tex] \large{\underline{\underline{\pink{\sf{To \: \: find :-}}}}}[/tex]

[tex] \textsf{The value of Sin Z}[/tex]

[tex]\large{\red{\underline{\textsf{Given :-}}}}[/tex]

YZ (B) = 32 (which the base of the triangle)

XZ (H) = 40 (which is the hypotenuse of the triangle)

[tex] \textsf{ \huge { \underline{ \orange{Solution :-}}}}[/tex]

[tex] \sf{The \: formula \: to \: find} \sin Z = \frac{P}{H} \\ \textsf{which \: means} \\ \sf \rightarrow \frac{perpendicular}{hypotenuse} [/tex]

But here we don't have perpendicular so we use Pythagoras theorem to find perpendicular

[tex]{ \sf {(perpendicular)}^{2} + \sf{(base)}^{2} = \sf {(hypotenuse)}^{2} } \\ \sf {(P)}^{2} + \sf {(B)}^{2} = \sf {(H)}^{2} [/tex]

let here P = P

[tex] \sf {(P)}^{2} + {(32)}^{2} = {(40)}^{2} \\ \sf {P}^{2} + 1024 = 1600 \\ \sf {P}^{2} = 1600 - 1024 \\ \sf {P}^{2} = 576 \\ \sf P = \sqrt{576} \\ \sf P = 24[/tex]

Now we to find Sin ZPH

[tex] \sf \ \sin Z = \frac{P}{H} \\ \implies \frac{24}{40} \\ \implies \frac{6}{10} \\ \implies \frac{3}{5} [/tex]

b) 7 of these cuboids of side 3 cm are put together to make this shape. Find the surface area of this shape. (3) Total marks: 5

Answers

Answer:  504 cm^2

The surface area of the shape is:

3 3 * 3=9

9 * 7=63

63+9=72 * 7

=504cm^2

A square based pyramid has a surface area of 111.6 in2. The sides of the base
of the pyramid measure 4 inches. What is the slant height of the figure?

Answers

Answer:

  11.95 in

Step-by-step explanation:

We can find the slant height of a square-based pyramid by solving the area formula for the unknown value.

__

The formula for the area of a square-based pyramid can be written ...

  A = s(s +2h)

where s is the side of the square base, and h is the slant height.

Filling in the given values, we can solve for h:

  111.6 = 4(4 +2h)

  27.9 = 4 +2h . . . . . divide by 4

  13.95 = 2 +h . . . . . divide by 2

  11.95 = h . . . . . . . . subtract 2

The slant height of the figure is 11.95 inches.

The radius of a circle is 14 ft. Find its circumference in terms of \piπ.

Answers

Answer:

Circumference of circle : 2πr

= 2 × π × 14

= 28 π ft

If you need any other help , please let me know ! ,[ you'll have to pay ]

Please help

The table shows the results of his first 20 rolls of a dice.

Number

1

2

3

4

5

6

Frequency

3

3

5

2

4

3


a) Write down its mode.

…………………………

b) Calculate:


i) Mean


…………………………

ii) Median


…………………………

iii) Range

…………………………

Answers

Answer:

Mode=. 3,4

Mean= 21/6=3,5

Median= 3+4/2=5

Range=6-4=2

Step-by-step explanation:

1. Mode are numbers in between.

2. Mean add all number devide with the highest value.

3. Median are 2 middle number add them and divide them by 2.

4. Highest value subtract lowest value.

-2-3(a)=-23
Please answer this with how you got the answer.

Answers

Answer:

a = 7

Step-by-step explanation:

» Solution

Step 1: Add 2 to both sides.

[tex]-3a-2+2=-23+2[/tex] [tex]-3a=-21[/tex]

Step 2: Divide both sides by -3.

[tex]-3a/-3=-21/-3[/tex] [tex]a=7[/tex]

Therefore, a = 7.

what’s the area and the perimeter and of the triangle?

Answers

Answer:

i hope it helps

Step-by-step explanation:

area= inside of figure

area of triangle= 1/2 base*height

perimeter= sum of all sides

perimeter of triangle= a+b+c

Answer:

A= 8.25 m  P≈ 16.2 m

Step-by-step explanation:

Which figure has two bases and one lateral face that is rectangular?

Answers

a prism

Step-by-step explanation:

it has two parallel, congruent bases that are connected by a lateral face

Solve for v in terms of w, x, y, and z.
ZW = -yxv
V=

Answers

Answer:

V= -WZ/xy

Step-by-step explanation:

-yxV=ZW

V=-ZW/yx

V=-ZW/yx

V=-WZ/xy

Apply green’s theorem to evaluate the integral 3ydx 2xdy

Answers

The value of the integral 3ydx+2xdy using Green's theorem be - xy

The value of    [tex]\int\limits_c 3ydx+2xdy[/tex]  be -xy

What is Green's theorem?

Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.

If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then

[tex]\int\limits_c Mdx+Ndy[/tex] = [tex]\int\int\〖(N_{x}-M_{y}) \;dxdy[/tex]

Using green's theorem, we have

[tex]\int\limits_c Mdx+Ndy[/tex] = [tex]\int\int\〖(N_{x}-M_{y}) \;dxdy[/tex] ............................... (1)

Here [tex]N_{x}[/tex] = differentiation of function N w.r.t. x

          [tex]M_{y}[/tex]= differentiation of function M w.r.t. y

Given function is: 3ydx + 2xdy

On comparing with equation (1), we get

M = 3y, N = 2x

Now, [tex]N_{x}[/tex] = [tex]\Luge\frac{dN}{dx}[/tex]

               = [tex]\frac{d}{dx} (2x)[/tex]

              = 2

and, [tex]M_{y}[/tex] = [tex]\Huge\frac{dM}{dy}[/tex]

             = [tex]\frac{d}{dy} (3y)[/tex]

             = 3

Now using Green's theorem

= [tex]\int\int\〖(2 -3) dx dy[/tex]

= [tex]\int\int\ -dxdy[/tex]

= [tex]-\int\ x dy[/tex]

=[tex]-xy[/tex]

The value of  [tex]\int\limits_c 3ydx+2xdy[/tex]  be -xy.

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find the values of x and y. then find the measures of the interior angles of the polygon​

Answers

The value of x and y are 9 and 6. Then the measure of the angles ∠A, ∠B, ∠C, and ∠D will be 54°, 36°, 126°, and 144°.

What is a cyclic quadrilateral?

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

We know the sum of the opposite angle of the cyclic quadrilateral is 180°.

Then we have

14x + 9y = 180 ...1

4x + 24y = 180 ...2

By solving the equations 1 and 2, we have

x = 9 and y = 6

Then the measure of the angle will be

∠A = 9y = 9 × 6 = 54°

∠B = 4x = 4 × 9 = 36°

∠C = 14x = 14 × 9 = 126°

∠D = 24y = 24 × 6 = 144°

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