Use the given information to find f(x + 1)
g(x) − f(x) = −2x + 5, g(x) = 5x − 3

Answers

Answer 1

Answer:

[tex]\mathbf{ f(x+1)=7x-1}[/tex]

Step-by-step explanation:

We need to find f(x+1)

We are given:

[tex]g(x) - f(x) = -2x + 5\:and\:g(x) = 5x -3[/tex]

First we need to find f(x)

By putting value of g(x) into g(x)-f(x)

[tex]g(x) - f(x) = -2x + 5\\\Put\:value\:of\:g(x) = 5x -3\\5x-3-f(x)=-2x+5\\-f(x)=-2x+5-5x+3\\-f(x)=-2x-5x+5+3\\-f(x)=-7x+8\\f(x)=-(-7x+8)\\f(x)=7x-8\\[/tex]

We have, [tex]f(x)=7x-8[/tex]

Now finding f(x+1) by putting x=x+1

[tex]f(x)=7x-8\\Put\:x=x+1\\f(x+1)=7(x+1)-8\\f(x+1)=7x+7-8\\f(x+1)=7x-1[/tex]

So, [tex]\mathbf{ f(x+1)=7x-1}[/tex]


Related Questions

An order of beef nachos is $2.00 more than an order of
chicken nachos. You and your friends order 2 orders of chicken nachos and
one order of beef nachos for a total of $21.50. Determine the price of a
single order of chicken nachos.

Answers

Answer:

8.75

Step-by-step explanation:

(21.50/2)-2

Answer:

a single order of chicken nachos is $6.50

Step-by-step explanation:

Because 2 orders of chicken nachos is $13.00($6.50 times 2) and one order of beef nachos is $8.50, add the $13.00 and $8.50 and you get $21.50.

Have a great day!

Here is the problem
Plz help
My brain hurts????????????????

Answers

Answer:

im pretty sure its 144.5

A pyramid is made above a cuboid with measure 90cm×50cm×225cm. If the height of the pyramid including cuboid is 240cm, find the total volume.​

Answers

Answer: whatever do I care

Step-by-step explanation: I don’t care

The required volume of the pyramid is, 22500 cubic cm.

What is volume?

Volume is referred to as the area occupied within an object's three-dimensional space.

Given that,

The length of cuboid = 90 cm

Width of cuboid = 50 cm

And height of cuboid = 225 cm

Let the height of the pyramid is x cm

Since the height of cuboid and pyramid = 240 cm

⇒ 225 + x = 240

⇒ x = 15 cm

Since the base of pyramid will be the same as the base of cuboid,

The volume of pyramid = 1/3 x base area x height

                                       = 1/3 x 90 x 50 x 15

                                       = 22500

The volume of the pyramid is 22500 cubic cm.

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what is 90% round to the thousandth place

Answers

Answer:

0.09

Step-by-step explanation:

Move the decimal 3 points over :)

**please mark brainliest!!

15.31 x 0.7
10.717
11.717
107.17
1.0717

Answers

Answer:

10.717

Step-by-step explanation:

15.31×0.7 = 10.717

Can someone explain what I'm supposed to do here? I have to have this in by tonight, as well.

Answers

Answer:

5-6y+7b

Step-by-step explanation:

ok boii 32ed32d d d 3 . 2 2 22 2

the answer to the very first equation is -10, they get that answer by subtracting two numbers, so instead you have to get that answer by adding two numbers (like, -15+5=-10) for each of them

Which fractions are less than 1/2

Answers

Answer:

1/4, 4/10, 3/7, 24/50 are all less than 1/2.

Step-by-step explanation:

If point A is located at (5, -7),
and there are 8 points between
A and B, what could be the
possible coordinates for point
B?

Answers

The possible points of B are:

B: (5,1)

B: (5,-15)

B: (13,-7)

B: (-3,-7)

The price of Nintendo Switch was reduced from $300 to $240 during a
Black
Friday sale. By what percentage was the price of the gaming system
reduced?

Answers

Answer:

20% or .2

Step-by-step explanation:

First divide 240 by 300

240/300

this gives you .8, you would then subtract that from 1 to get .2

You can check your answer by multiplying 300 by .2

300*.2

this gives you 60 which is the difference between the 2 numbers

Hope this helps

helppp finals are tomorrow

Answers

Answer:

Step-by-step explanation:

y = -5x

When x = -2 ; y = -5* (-2) = 10   ;  (-2 , 10)

When x = -1   ;   y = -5 *(-1) = 5   ;    (-1 , 5)

When x = 0  ,     y = 0               ;     (0 , 0)

When  x = 1  ;     y = -5 *1 = -5    ;     (1 , -5)

When x = 2 ;     y = -5 *2 = -10   ;     (2 , -10)

Mark these points (-2 , 10) ,  (-1 , 5) , (0 , 0) , (1 , -5) , (2 , -10) and join them.

The difference of a number x and 3 is at most -2

Answers

Answer:

x is a number "the difference of" means subtract

therefore the "difference between 3 and a number " would be 3-x=-2

3-5= -2

Step-by-step explanation:

A 15% tip on a $14.95 lunch bill is about

Answers

17.1925 that’s the answer enjoy

What is the scale factor of ARST to A UVW?

NEED HELP!

Answers

Answer:

B:1

Step-by-step explanation:

the values are the same, so we know the scale is 1:1

hope this helps

Answer:

b)1

Step-by-step explanation:

A book has a font and a back and 400 pages. The front and back cover are each 0.9mm thick, measured to 1 decimal place. Each page is 0.13mm thick measured to 2 decimal places calculate the minimum thickness of the book

Answers

Answer:

53.8 mm

Step-by-step explanation:

Front page and a back page + 400 pages.

The front and back cover are each 0.9mm thick, measured to 1 decimal place.

Total thickness of front and back page = 0.9mm × 2

= 1.8 mm

Each page is 0.13mm thick measured to 2 decimal places

Total number of pages = 400

Total thickness of the pages = Thickness of each page × Total number of pages

= 0.13mm × 400

= 52 mm

minimum thickness of the book = Total thickness of front and back page + Total thickness of the pages

= 1.8mm + 52mm

= 53.8 mm

The minimum thickness of the book is 53.8 mm

which of these is a simplified form of the equation 6y + 4 = 8 + 2y + 2y?​

Answers

6y + 4 I guess is the answer for the question

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AD=3AD=3 and AC=12,AC=12, what is the length of \overline{AB}? AB ? (Note: the figure is not drawn to scale.)

Answers

Answer:

The answer is "6"

Step-by-step explanation:

[tex]\to x^2 = 3 \times 12 \\\\\to \sqrt{6^2 +3^2} = \sqrt{45} =\sqrt{9} \sqrt{5} = 3\sqrt{5} \\\\\to x= 6[/tex]

The value of [tex]\overline{AB} =6[/tex]

√4x-4=√5x-1−1.
there's 2 answers apparently

Answers

Answer:

x=−8.472135

Step-by-step explanation:

Point B is in quadrant __________ and Point D is in quadrant __________.
A. I, II
B. IV, I
C. II,I
D.IV,III

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

solve the following
U A room id 48 m long, 3:6 M cared and om hight.
And the cast of dayng tiles on the floor
its 4 walls at the crate of Ro loome
anol​

Answers

Answer:

is there a  picture

Step-by-step explanation:

The weight in pounds of seven packages are 25, 10, 20, 4, 6, 3, and 9. The weight of an eighth package is added to the list. The mean weight of the eight packages is 12 pounds. What is the weight in pounds of the eight package?

Answers

Answer:

7 because to get the mean it has to be in the middle which comes down to the Number 9 package so that means the the 8th package has to be 7 pounds

Step-by-step explanation:

The Eiffel Tower in Paris, France. Lizbeth is 5.5 feet tall. She looks up at an angle of elevation of 72° to see the top from 318 feet away. Based on her measurements, calculate the height of the Eiffel Tower. Round to the nearest hundredth of a foot.

Answers

Answer:

The height of the Eiffel Tower will be 318 feet.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that Lizbeth is 5.5 ft tall, seeing the top from 318 feet away, making an angle of elevation to be 72⁰.

The diagram makes a right-angled triangle.

Given the angle = Ф = 72⁰ Adjacent = a = 5.5 ft Opposite = b = 318 ft Hypotenuse = the height of the Eiffel Tower = c ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

[tex]a=5.5[/tex][tex]b=318[/tex]

[tex]c=\sqrt{5.5^2+318^2}[/tex]

[tex]c=318[/tex] feet

Therefore, the height of the Eiffel Tower will be 318 feet.

During an online sale, you buy three sweatshirts and two pairs of sweatpants for $85.50. Later you buy three more sweatshirts and four more pairs of sweatpants for $123. (You can never have too many sweats during a pandemic). What is the sale price of each sweatshirt and each pair of sweatpants?

Answers

Answer:

Step-by-step explanation:

let

x = price of a sweatshirt

y = trice of sweatpants

three sweatshirts and two pairs of sweatpants for $85.50

3x + 2y = 85.50

three more sweatshirts and four more pairs of sweatpants for $123

3x + 4y = 123

by solving the system of equations

3x + 2y = 85.50

3x + 4y = 123

we find

x = $16

y = $18.75

4x−2y=14 y=12x−1 solve by substitution

Answers

Answer:

x= -3/5

Step-by-step explanation:

4x-2y=14

y=12x-1

4x-2(12x-1)=14

4x-24x+2=14

4x-24x=12

-20x=12

×= -12/20

x= -3/5

I need some answers be quick pls. If you get it right I will give you brainliest

Answers

Step-by-step explanation:

multiple the power and real number

Answers;

a) Multiply 2 by 3: 6ab.

b) Multiply [tex]c^{5}[/tex] by c by adding the exponents: c^6 or [tex]c^{6}[/tex].

c) Simplify the expression. 10y^7 or [tex]10y^{7}[/tex].

d) Simplify the expression. 12g^4h^5 or [tex]12g^{4}h^{5}[/tex].

Reena bought a jacket for £45 . six months later ,she sold it for £34.65.What was her percentage loss?

Answers

When Reena bought a jacket for $45 and after six months later she sold it for $34.65, then the percentage loss is 25%

Given,

Reena bought a jacket for = $45

Selling price of jacket = $34.65

Here, selling price is lower than cost price, so we can consider it as loss

We know,

Loss percentage = (Loss / Initial cost)×100

Loss = Initial cost - Selling price

Loss = 45 -34.65= $10.35

Loss percentage =[tex](\frac{10.35}{45}) 100[/tex]

=0.25×100

=25%

Hence, when Reena bought a jacket for $45 and after six months later she sold it for $34.65, then the percentage loss is 25%

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Solve the system of equations.
​ 7x−3y=20
y=5x−4
x=
y=

Answers

Answer:

Step-by-step explanation:

substitute the value of y in the first equation.

7x-3(5x-4)=20

7x-15x+12=20

-8x=20-12

x=8/-8

x= -1

then you substitute the value of x on the y equation to find y

y=5×-1 -4

y= -5-4

y= -9

Answer:

x = -1, and y = -9

Step-by-step explanation:

This is done by solving one of the two equations for x or y, then substituting it in place of that variable in the other equation.

Since y is already clearly defined in the second equation let's go with that:

[tex]Given\ 7x - 3y = 20,\ and\ y = 5x - 4[/tex]

[tex]7x - 3(5x - 4) = 20[/tex]

[tex]7x - 15x + 12 = 20[/tex]

[tex]7x - 15x = 20 - 12[/tex]

[tex]-8x = 8[/tex]

[tex]x = -1[/tex]

Now we can replace x in the equation for y with -1:

[tex]y = 5(-1) - 4[/tex]

[tex]y = -5 - 4[/tex]

[tex]y = -9[/tex]

To make sure our answers are correct, let's substitute them into the original equations:

[tex](-9) = 5(-1) - 4\\-9 = -5 - 4\\-9 = -9[/tex]

Good, let's test the other equation

[tex]7(-1) - 3(-9) = 20\\-7 - (-27) = 20\\-7 + 27 = 20\\20 = 20[/tex]

So we know that our answer is correct.

what is 50% of 180 ?

Answers

Answer:

90

Step-by-step explanation:

Answer:

The answer is 90.

Step-by-step explanation:

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

the opposite of -2.25​

Answers

Answer:

2.25

Step-by-step explanation:

That's the opposite.

Answer:

Step-by-step explanation:

2.25

Pls be right will give brainliest

Answers

Answer

15

Step-by-step explain

6+9=15

Find the x-intercept and y-intercept
from the following linear equation:
-3x + 11y = 66
x - intercept (-22, [?])
y - intercept ([],[])

Answers

Answer:

x - intercept:  (-22, 0)

y - intercept: (0, 11)

Step-by-step explanation:

Given the linear equation

-3x + 11y = 66

Determining the x-intercept

We know that the x-intercept can be computed by setting the value y=0 and solving for x.

substitute y = 0

-3x + 11y = 66

-3x + 11(0) = 66

-3x + 0 = 66

-3x = 66

Divide both sides by -3

-3x/-3 = 66/-3

x = -22

Thus, the ordered pair representing the x-intercept : (-22, 0)

Determining the y-intercept

We know that the y-intercept can be computed by setting the value x=0 and solving for y.

substitute x = 0

-3x + 11y = 66

-3(0) + 11y = 66

0 + 11y = 66

11y = 66

Divide both sides by 11

11y/11 = 66/6

y = 11

Thus, the ordered pair representing the y-intercept : (0, 11)

Therefore, we conclude that:

x - intercept:  (-22, 0)

y - intercept: (0, 11)

Answer:

X=(-22,0)

Y=(0,6)

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