Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help

Answers

Answer 1

Answer:

equation of g(x) is 3-x

f(x)= -x+6 g(x)=f(x+3)

then,,

f(x+3)=-(x+3)+6 =-x-3+6 = 3-x

ie.. g(x)=3-x


Related Questions

Can someone plz help Me? :(

Answers

the greatest common factor of 48 and 60 is D.) 12

Answer:

Answer: D or 12

Step-by-step explanation:

This one is fairly simple.

The Greatest Common Factor is the largest number that can go into both 48 and 60...

What I did is simply took the largest number from the answer choices: which is 12 and then divided 48 and 60 by 12 each. 12 can go into both of these number whole so 12 is your greatest common factor.

A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line

Answers

Answer:

Step-by-step explanation:

The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Since the slope is (1/2), we can write:

y = (1/2)x + b

We want a value of b such that it forces the line to go through point (-10,9).  Enter that point in the equation and solve for b:

y = (1/2)x + b

9 = (1/2)*(-10) + b

9 = -5 + b

b = 14

The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:

y = (1/2)x + 14

See attachment.

Jan took her brother out to dinner. The cost of Jan’s dinner was $18.50. The cost of her brother’s dinner was $19.00. If they want to add a 15% tip for the waitress, what will be the total bill?

Answers

The total bill that would be paid by Jan is equal to $43.125.

Given the following data:

Cost of Jan’s dinner = $18.50.Cost of brother’s dinner = $19.00.Tip = 15%

To determine the total bill that would be paid by Jan:

First of all, we would calculate the total cost of their dinner as follows:

[tex]Total\;cost = 18.50 + 19.00[/tex]

Total cost = $37.50

Next, we would calculate the tip cost for the total cost of their dinner:

[tex]Tip\;cost = \frac{15}{100} \times 37.5\\\\Tip\;cost =0.15\times 37.5[/tex]

Tip cost = $5.625

For the total bill:

[tex]Total\;bill = Total\;cost + Tip\;cost\\\\Total\;bill = 37.5 + 5.625[/tex]

Total bill = $43.125.

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what is the value of x? 48°(3x + 6)

Answers

Answer:

No clue

Step-by-step explanation:

Helps me please ill give brainliest to the best ! this is supposed to be easy(not for me)

Answers

domain: 0-infinity
range: 1-infinity

Find the slope of the line that passes through the pair of points (-17, – 8) and (0, – 5)

Answers

Answer:

-13/-17

Step-by-step explanation:

y1-y2/x1-x2=-13/-17

Used slope formula y2-y1/x2-x1
-5--8/0--17 =3/17

please help me with this

Answers

Answer: 3Z

Step-by-step explanation:

Need help with properties if dilations homework

Answers

With a dial action, although the dilated image may get smaller or larger the angles/ slope of lines would remain the same.

Slope = change I. Y over the change in X

Slope = (5-4) /(3-2) = 1/1 = 1

Slope = 1

16x2 + 81y2 + 32x + 648y + 16 = 0 write instandard form

Answers

I can’t answer it doesn’t have enough information

Exterior Angles and Isosceles Triangles

Answers

Step-by-step explanation:

this is not an isoceles triangle.

anyway, we need to remember 2 things :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.

so, the internal angle Q is then

180 = 50 + 55 + Q

Q = 180 - 50 - 55 = 180 - 105 = 75°

the exterior angle x at Q is then

180 = Q + x = 75 + x

x = 180 - 75 = 105°

Exterior angles =180-75=105
Interior angles =180_69=111

Write 3.005 as a fraction in the simplest form​

Answers

Answer: 601

              200

Step-by-step explanation: when you reduce 3.005 it is 601/200 and it is in its simpilist form

Answer:

3\frac{1}{200}

Step-by-step explanation:

Find the slope of the line that passes through the points given in the first column and match them with the appropriate result. (10,7) and (1,2)\left(10,7\right)\ and\ \left(1,2\right)(10,7) and (1,2)

Answers

Answer:

                                         

Step-by-step explanation:

1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].

2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].

3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].

4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

From the given table, we have

1) The coordinate points are (10, 7) and (1, 2)

Here, slope [tex]=\frac{(2-7)}{(1-10)}[/tex]

[tex]=\frac{5}{9}[/tex]

2) The coordinate points are (9, 9) and (1, 16)

Here, slope [tex]=\frac{(16-9)}{(1-9)}[/tex]

[tex]=-\frac{7}{8}[/tex]

3) The coordinate points are (9, 3) and (2, 1)

Here, slope [tex]=\frac{(1-3)}{(2-9)}[/tex]

[tex]=\frac{2}{7}[/tex]

4) The coordinate points are (8, 8) and (1, 2)

Here, slope [tex]=\frac{(2-8)}{(1-8)}[/tex]

[tex]=\frac{6}{7}[/tex]

Therefore,

1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].

2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].

3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].

4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].

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the picture is there​

Answers

Answer:

Step-by-step explanation:

Because CB = 6 cm, we can find CD

Use Triangle CDB.

<BCD = <BCA - <ACD

<BCD = ?

<BCA = 90

<ACD = 60

<BCD = 90 - 60

<BCD = 30

Cos 30 = CD / CB

CD = Cos(30) * BC

CD = 5.196 cm

<A = 90 - ACD

<ACD = 60

<A = 90 - 60

<A = 30

Sin(<A) = CB / AB

AB = CB / sin(<A)

AB = 6 / 0.5

AB = 12

Area =1/2 CD * AB

Area = 1/2 * 5.196 * 12

Area = 31.18

A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a
delivery fee of $3 per bushel Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.
Which supplier would cost more if the production company bought 500 bushels of grain each week?
O Supplier B would cost $625 more than supplier A.
O Supplier B would cost $600 more than supplier A
O Supplier A would cost $875 more than supplier B.
O Supplier A would cost $800 more than supplier B.

Answers

Answer:

Supplier B would cost $625 more than supplier A.

Step-by-step explanation:

Find the slope of a line parallel to each given line.
y = x - 1

Answers

Answer:

1

Step-by-step explanation:

First, you should put the equation in slope intercept form (y = mx + b), where m is the slope.  A parallel line will have the same slope so if 1x is your slope for the first equation, 1 should also be the slope for the 2nd equation

Which expression is equivalent to
(5x10^-3+(6x10)^3
2.2x10^4
A. 5 x 10
B. 5 x 101
C. 5 x 10-10
D. 5 x 107

Answers

Answer:b

Step-by-step explanation:

A restaurant chain would like to measure the proportion of customers who are generally satisfied with the service provided by its staff. At the end of the meal, as the check is delivered to the table, the server asks those at the table to rate their satisfaction with the service provided as "Very Satisfied,” "Satisfied,” or "Not Satisfied.” During a one-week period, 147 customers were surveyed and 135 (93%) reported they were either Satisfied or Very Satisfied. How might the results be biased in obtaining an estimate of all customers who are satisfied with service?

Because of response bias, the survey results may overestimate the true proportion of satisfied customers.
Because of response bias, the survey results may underestimate the true proportion of satisfied customers.
Because of voluntary response bias, the survey results may overestimate the true proportion of satisfied customers.
Because customers were surveyed over a one-week period, the results should provide an accurate estimate of satisfied customers.


PLEASE HELP

Answers

Based on the information given regarding the bias, the correct option is A. Because of response bias, the survey results may overestimate the true proportion of satisfied customers.

From the information given, it can be depicted that the type of bias that's present is the response bias because the customers may not respond truthfully to the server.

Therefore, because of response bias, the survey results may overestimate the true proportion of satisfied customers. In this case, the survey will show a higher number of satisfied customers which isn't a true reflection.

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Answer:

a

Step-by-step explanation:

15(x + 3)2
Box the exponent (s)
please help

Answers

Answer:

  "2" is the exponent

Step-by-step explanation:

There is no exponent in your expression.

__

When the expression is typeset, the superscript text is considered to be an exponent:

  [tex]15(x+3){\boxed{^2}}[/tex]

When the expression is written in plain text, the exponent is indicated by a caret (^):

  [tex]\textsf{15(x+3)\^\ \!\!\boxed{\textsf{2}}}[/tex]

Answer:

[tex] {15x}^{2} + 90x + 135 \\ [/tex]

Step-by-step explanation:

[tex]15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\ 15 |(x(x + 3) + 3(x + 3)| \\ 15( {x}^{2} + 3x + 3x + 9) \\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 90x + 135 \\ [/tex]

Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?

Answers

Answer:

Each elf made 85 toys

Step-by-step explanation:

First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.

Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.

46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last mile in 5 minutes, and the other 2 were the same time as each other, what was the average time for the 2 miles in the middle

Answers

Answer:

7 minutes

Step-by-step explanation:

average time = 6 minutes per mile

sum = average * count = 6 minutes / mile * 4 miles = 24 minutes

first + last mile = 5 + 5 = 10 minutes

first + second + third + last mile = sum = 24 minutes

second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes

average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes

57 % of 200 calculate this please

Answers

so percentage is always out of 100

so 57%is upon 100 then it is 200 upon 1 cuz it is a whole

57% of 20057 /100×200/1114 so the ans is 114 i hope u understood it

Hey there!

57% of 200

= 57% * 200

= 57/100 * 200/1

= 0.57 * 200

= 57(200)/100(1)

= 11,400/100

= 114

Therefore, your answer is: 114

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A regular hexagon is rotated 360° about its center. How many times does the image of the hexagon coincide with the pre image during the rotation?
A. 1 time
B. 3 times
C. 12 times
D. 6 times

Answers

The image of the regular hexagon coincides with the pre-image 6 times during rotation.

A regular hexagon is a polygon that has six equal sides and six equal angles.

In a single rotation which is usually the rotation of an object at 360°, the number of times in which the regular hexagon coincides with its pre-image is 6 times, this is because it has 6 equal sides and 6 equal angles.

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Answer:

6

Step-by-step explanation:

I just took the test

Nathan uses ¼ cup of water for every ½ cup of lemon juice to make lemonade. Enter the number of cups of water Nathan uses for 1 cup of lemon juice. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER.

Answers

I think it should be 1/2 cup water. Sorry if I'm wrong

How i can answer this question

Answers

Answer:

B

D

C

Glad I coild help you out.

Answer:

B,C and D

Step-by-step explanation:

They all expand back to 16x + 20.

Sean is drinking a slushy as fast as he can. The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed. How long did it take Sean to finish the slushy?

______ seconds ​

Answers

Answer:

75 seconds

Step-by-step explanation:

The graph intersects the x axis at 75 seconds.  That means y = 0, and y is the amount remaining (in ml).

After 75 seconds the amount of slushy left in the cup becomes zero the answer is 75 seconds.

What is a line graph?

A line graph is a type of graph where the data points are connected by segments of straight lines.

We have a line graph shown in the picture.

Sean is drinking a slushy as fast as he can. The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed.

As we can see the amount of slushy left in the cup is decreasing as the time increases.

At time = 75 seconds

The amount of slushy left in the cup = 0

Thus, after 75 seconds the amount of slushy left in the cup becomes zero the answer is 75 seconds.

Learn more about the line graph here:

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The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh

x=
base=
height=

Answers

Answer:

x=10

base=4inches

height=15inches

Step-by-step explanation:

A=1/2bh

30=1/2(x-6)(x+5)

60= x²+5x-6x-30

x²-x-90=0

x²-10x+9x-90=0

x(x-10) +9(x-10)=0

(x+9)(x-10)=0

x= -9 or 10

x cannot be negative

Therefore x= 10

base= 10-6

=4inches

height=10+5

=15inches

Find the area between f(x) = 3x and f(x) = x2 on the interval (0,3]

Answers

Answer:

[tex]A=4.5[/tex]

Step-by-step explanation:

The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.

Therefore:

[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]

[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]

[tex]A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}][/tex]

[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]

[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]

[tex]A=\frac{9}{2}[/tex]

[tex]A=4.5[/tex]

So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.

a scale model of a building 8 inches tall. if the actual height of the building is 496 feet. what is the scale

Answers

Answer:

8 inches= 62 ft

Step-by-step explanation:

496 divided by 8

I need helppp pleaseee

Answers

Answer:

One solution

Step-by-step explanation:

Start by simplifying the equation.

Distribute 3 to 4 and 2 to get 12x + 6Combine 8x and -2x to get 6x

Then you have 12x + 6 = 6x + 24,

Continue to solve

Subtract 6 from the left and right to get 12x = 6x + 18Subtract 6x from both sides to get 6x = 18Divide both sides by 6 to get x = 18

Because x is equal to one digit and not x = x or 3 = 5, you have one solution

                                                            (Infinite) or (none)

Hope this helps!

What is the equation of the line that passes through the point (-4,-3)(−4,−3) and has a slope of \frac{3}{4}

Answers

Answer:

y = 3/4x

Step-by-step explanation:

Given:

x1 = -4

y1 = -3

slope (m) = 3/4

Solution:

y - y1 = m ( x - x1 )

y - (-3) = 3/4 ( x - (-4) )

y + 3 = 3/4 ( x + 4 )

y + 3 = 3/4x + 3

y = 3/4x + 3 - 3

y = 3/4x

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