Select the correct answer.
Consider the function f(t) = 2* and function g.
g(t) = (1) + 6
How will the graph of function g differ from the graph of function f?
ΟΑ.
The graph of function g is the graph of function fshifted 6 units to the left.
B.
The graph of function g is the graph of function fshifted 6 units up.
Ос.
The graph of function g is the graph of function fshifted 6 units to the right.
OD.
The graph of function g is the graph of function fshifted 6 units down.

Answers

Answer 1

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

[tex]f(x) = 2^x[/tex]

[tex]g(x) =2^x + 6[/tex]

Required

Compare g(x) to f(x)

Substitute [tex]f(x) = 2^x[/tex] in [tex]g(x) =2^x + 6[/tex]

[tex]g(x) = f(x) + 6[/tex]

This implies that f(x) is shifted 6 units upward to give g(x)


Related Questions

Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.

how many blue marbles are in the bag?
Select one:

6

30

15

20

Answers

Answer:

20 is it's right answer I think ok

Which number is rational?

Answers

Answer:

D. Square root of 16

Step-by-step explanation:

Rational numbers are numbers that have simple answers. It is also considered as fractions, Integers, and possible square roots.

- If you chose the square root of 2 = 1.41

- Pi has a value of 3.14, It's not a fraction nor an integer so it's an Irrational number

- Square root of 10 is 3.16

- So Square root of 16 is 4 which is a regular number and a possible square root.

Thank you!

Answer:

last option- square root of 16 is a rational number

MULTIPLE CHOICE LaShawn designs websites for local
businesses. He charges $25 an hour to build a website, and
charges $15 an hour to update websites once he builds them.
He wants to earn at least $100 every week, but he does not
want to work more than 6 hours each week. What is a possible
solution to describe how many hours LaShawn can spend
building a website (x) and updating a website (y) in a week?
A (1,4)
B (1,6)
C (2,3)
D (3, 3)

Answers

A is the correct answer I just took the quiz

hii please help me :)

Answers

Answer:

1.) A = (1/2bh) 4 + lxw

= 1/2 x 7 x 13 x 4 + 7 x 7

182 + 49 = 231cm2

l think u can use the formula to find the area of the other pyramids

Nicole works in a sporting goods store
and earns $324 a week and 5% of her
sales. One week Nicole earned $432.
What were her sales that week? Write
and equation and solve.

Answers

Answer:

2,160

Step-by-step explanation:

432-324=108 earnings based on sales

sales x 5%=108

sales=108/.05

sales=2,160

Can y’all help me? :)

Answers

Answer:

Option A: [tex]5\frac{1}{4} *4\frac{1}{5}[/tex]

Step-by-step explanation:

Area of a parallelogram is base times height so in this case it would be 5 1/4 times 4 1/5. 5 1/4 being the base and 4 1/5 being the height.

in a rectangle how many opposite sides are equal​

Answers

Answer and Step-by-step explanation:

This is for your other question in case you don't see it.

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

look at pic 10 pts will mark brainilest

Answers

the answer would be Q
The answer to this question is Q

In a sample of 400 students, 60% of them prefer eBooks.

A.Find 98% Confidence Interval for the proportion of all students that prefer ebooksb.

b. Find the margin of erro

Answers

Answer:

a) The 98% Confidence Interval for the proportion of all students that prefer ebooks is (0.55, 0.65).

b) The margin of error is of 0.05.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In a sample of 400 students, 60% of them prefer eBooks.

This means that [tex]n = 400, \pi = 0.6[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.054[/tex].

Margin of error -> Question b:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 2.054\sqrt{0.6*0.4}{400}}[/tex]

[tex]M = 0.05[/tex]

The margin of error is of 0.05.

A.Find 98% Confidence Interval for the proportion of all students that prefer ebooksb.

Sample proportion plus/minus the margin of error.

0.6 - 0.05 = 0.55

0.6 + 0.05 = 0.65

The 98% Confidence Interval for the proportion of all students that prefer ebooks is (0.55, 0.65).

Does anyone know the answer to this?

Answers

If h = hourly rate and s = service fee
2h + s = 180
3h + s = 230
Subtracting equation 1 from equation 2 gives
h = 50
Substitute for h in equation 1
2 x 50 + s = 180
So s = 80

The cost formula is C(h) = 50h + 80

Given that y varies directly as x when y = 2 and x = -12, find x when y = 5.

Answers

Answer:

x = -30

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 2 as y and -12 as x, and solve for k:

y = kx

2 = k(-12)

-1/6 = k

So, the equation is y = -1/6x

Plug in 5 as y and solve for x:

y = -1/6x

5 = -1/6x

-30 = x

So, when y = 5, x = -30

What is the value of k?

Answers

9514 1404 393

Answer:

  k = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  115° = (4k +5)° +(6k +10)°

  115 = 10k +15 . . . . . . . . . . . divide by °, simplify

  100 = 10k . . . . . . . . . . . . subtract 15

  10 = k . . . . . . . . . . . . . . divide by 10

What is the true solution to In 20+ In 5= 2 In x?
x=5. A
X= 10 b
X=50 c
X= 100 d

Answers

ln(20) + ln(5) = 2 ln(x)

ln(20×5) = ln(x ²)

ln(100) = ln(x ²)

100 = x ²

x = 10

Use a double integral to find the area of the following regions. The region bounded by all leaves of the rose r=2cos3θ

Answers

Answer:

Hence the area of the region bounded by all leaves of the rose is [tex]\pi[/tex].

Step-by-step explanation:

Here,

[tex]2 cos (3\Theta )=0\\\Rightarrow cos(3\Theta)=0\\\Rightarrow cos(3\Theta )=cos\left (\frac{\pi }{2} \right )\\\Rightarrow \Theta =\left (\frac{\pi }{6},-\frac{\pi }{6} \right )[/tex]

Now consider for one leaf of rose:-

[tex]Area = 3\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\frac{r^{2}}{2}d\Theta \\\\ = \frac{3}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}4 cos^{2}\left ( 3\Theta \right ) d\Theta \\\\ = \frac{12}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}} \frac{cos(6\Theta +1)}{2}d\Theta\\\\ =\frac{6}{2}\left [ \frac{sin(6\Theta +\Theta )}{6} \right ]_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\\\\ =3\times \left [ \frac{\pi }{6}+\frac{\pi }{6} \right ]\\\\ =3\times \frac{2\pi }{6}\\\\ = \pi[/tex]

Hi, I need help creating a graph for this math question. Here goes -
It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with and has increased its balance by an average of per week. The Math Club has saved per week after starting out with at the beginning of the semester.

Answer: Science Club y = 10x + 20 and Math Club y = 5x + 50.

Question: Graph both lines on one set of axes. When do the clubs have the same balance?

Answers

Answer:

(6,80)

Step-by-step explanation:

To check

Substitute (6,80) for x & y value

Y = 10x + 20

80 = 10(6) + 20

80 = 60 + 20

80 = 80

Y = 5x + 50

80 = 5(6) + 50

80 = 30 + 50

80 = 80

Answer:

(6.80) is the correct answer

Jake jogs every day in the neighborhood park. He runs 4 miles on Sunday,
3 miles on Monday, and 5 miles on Tuesday. Find the mean distance
covered by Jake.

Answers

4

Hope this helps! :)

______________

Help me ASAP plzzz……

Answers

x = 20

This is an isosceles triangle so third angle is also 2x because of symmetry.
Angle sum = 5x + 2x + 2x = 9x = 180 degrees

Answer:20, 40, 40,100

Step-by-step explanation:

5x+2x+2x=180 9x=180 x=20

Dave and Busters charges 2.50 per game in the arcade plus a one-time entrance fee of $10.


Which equation could be used to find the total.


A) y=2.50x

B) y=12.50x

C) y=2.50x + 10

D) y=2x-10

Answers

Answer:

C) y = 2.50x + 10

Step-by-step explanation:

Equation C is saying:

total cost = 2.50(number of games) + $10 entery fee

Hope this helps :)

Mark brainliest please

Answer is C

As it say to find total cost and y is given as total cost

As x is number of games and charge per game is 2.50 so it’s becomes 2,50x

Plus you have to add one time entrance fee which is $10.

So the equation becomes

y= 2.50x + 10

Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.

Answers

Answer:

area of polygon : 120in²

The area of the polygon is 120in^2

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

To buy a car, you borrow $28,000 with a term of five years at an APR of 5%. What is your monthly payment? (Round your answer to the nearest cent.)
$


How much total interest is paid? (Round your answer to the nearest cent.)
$

Answers

9514 1404 393

Answer:

monthly payment: $528.39interest paid: $3,703.40

Step-by-step explanation:

The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where the annual interest rate is r for t years on loan value P.

Filling in the given information, we find the monthly payment to be ...

  A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39

The monthly payment is $528.39.

__

The total amount repaid is ...

  ($528.39/mo)(60 mo) = $31,703.40

The interest paid is the difference between this and the loan amount:

  interest paid = $31,703.40 -28,000 = $3,703.40

The total interest paid is $3,703.40.

Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smallest of the three numbers? (x + 1) + (x + 2) = 30 x + (x + 1) + (x + 2) = 30 x (x + 1) (x + 2) = 30 3 x (x + 1) (x + 2) = 30

Answers

Answer:

X+(X+1)+X+2)=30

Step-by-step explanation:

what is 2.5 = 75 please help

Answers

Answer: 3.333333333333% as a percent 3.25 as a decimal

The measure of the angle of depression from the top of a 270-meter building to a park bench on the ground is 36°45′. How far away is the park bench from the building? Round to the nearest whole number.

Answers

Answer:

202 m

Step-by-step explanation:

Given :

Angle of depression, θ = 36°45' ; 45/60 = 0.75 = 36 + 0.75 = 36.75°

The height, h = 270

The distance of park bench from the building, d is given by :

Tan θ = opposite / Adjacent

Tan 36.75 = d / 270

d = 270 * Tan 36.75

d = 201.61856

d, distance of Park bench from building is 202 m

Solve for x in the equation x squared + 14 x + 17 = negative 96.

Answers

this is the best i can come up with! i believe the answer is “no real solutions” but it could possibly be the answer on the paper!

The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000npeople in the city. Let t represent the number of years since 2000 and P represent the population. Write an exponential growth function to model

Answers

A = 236,000 (1+ 0.04)^9
335,902 people in 2009

The exponential growth function to model represents as P = 236,000 (1+ 0.04)⁹ and 335,902 people in 2009.

What is the exponential growth function?

The exponential growth function is given by:-

y = A(1 +r)ⁿ

where r is the rate of growth and A is the initial amount and n is the time period.

Let t represent the number of years since 2000 and P represent the population.

The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city.

Put A = 236,000 , r = 0.04 and t = 9, we get

P = 236,000 (1+ 0.04)⁹

P = 335,902

Hence, the exponential growth function to model represents P = 236,000 (1+ 0.04)⁹ and 335,902 people in 2009.

Learn more about exponential growth and decay here:

brainly.com/question/2193820

#SPJ6

plz help i dont know what to do
ANSWER QUICK​

Answers

Answer:

the last one is correct.............

can anyone prove this:
1+1=3

Answers

Answer:

indeed

Step-by-step explanation:

just carry the one when adding

Step-by-step explanation:

1 = 1

41 – 40 = 61 – 60

16 + 25 – 40 = 36 + 25 – 60

4² + 5² – 2 * 4 * 5 = 6² + 5² – 2 * 6 * 5

(4 – 5)² = (6 – 5)²

4 – 5 = 6 – 5

4 = 6

2 = 3

1 + 1 = 3…proved

he graph shows the total number of participants in a town's recreation program at the end of every year since the year 2000.

The line of best fit for the data is given by the equation y=13x+50, where y is the total number of participants x years after the beginning of the year 2000.

Which statement correctly interprets the slope of the line of best fit?

The rate of change is 1 new participant every 13 years.

The rate of change is 13 new participants every 13 years.

The rate of change is 13 new participants every year.

The rate of change is 50 new participants every year.

Answers

Answer:

The rate of change is 13 new participants every year.

Step-by-step explanation:

y=13x+50

This is in the form y = mx+b  where m is the slope and b is the y intercept

x is the number of years so for every year increase we gain 13 new participants

Please help me it is due soon, please no links

Answers

Answer:

The length of the three sides [tex]5, \sqrt{58} , \sqrt{65}[/tex]

The triangle is not a right triangle

Step-by-step explanation:

A = (3, 2) , B = ( 6, 9) , C = (10, 6)

Find the lengths using distance formula.

[tex]distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]AB = \sqrt{(6-3)^2 + (9-2)^2} = \sqrt{9 + 49 } = \sqrt{58}[/tex]

[tex]BC = \sqrt{(10-6)^2 + (6-9)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

[tex]AC = \sqrt{(3-10)^2+(2-6)^2} = \sqrt{49 + 16} = \sqrt{65}[/tex]

Using Pythagoras theorem :

[tex](Longer \ side)^2 = sum \ of \ square \ of \ two \ other \ sides[/tex]

Longest side is AC . So we will check if it satisfies Pythagoras theorem :

[tex]\sqrt{65} = \sqrt{58} + 5^2\\65 = 58 + 25\\[/tex]

65 ≠ 58 + 25

So the sides does not satisfy Pythagoras theorem. Hence the triangle is not a right triangle.

Willl mark brainlest!
help pls​

Answers

Answer:

g(-1)=-1

Step-by-step explanation:

g(-1)=[tex](-1)^{3} + (-1)^{2} - (-1) -2[/tex]=- 1

g(2) = [tex]2^{3} + 2^{2} -2-2=8[/tex]

g(1) =[tex]1^{3} +1^{2} -1-2=-1[/tex]

⇒g(2)+g(1)=8+(-1)=7

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