The function g(x) is graphed on the coordinate grid.
Which statements are true of g(x)? Check all that apply.
Answers
Answer:
the function g(X) is a translation of [tex]f(x) = \sqrt{x}[/tex]
the range is {y|y≥-1}
the function g(x) can be translated 3 units right and 1 unit up to get the function [tex]f(x) = \sqrt{x}[/tex]
Step-by-step explanation:
Given the graph of a function g(x)
g(x) looks like a square root function
So parent function is [tex]f(x) = \sqrt{x}[/tex]
the function g(X) is a translation of [tex]f(x) = \sqrt{x}[/tex]
the domain is {x| x ≥ -3}
the range is {y|y≥-1}
The parent function [tex]f(x) = \sqrt{x}[/tex] starts at (0,0)
so g(x) is translated 3 units left and 1 unit down
the function g(x) can be translated 3 units right and 1 unit up to get the function [tex]f(x) = \sqrt{x}[/tex]
Answer:
The correct options are 1, 3 and 5.
Step-by-step explanation:
The given function is a continuous increasing curve which is increasing at decreasing rate. It means it is the graph of a radical function.
Parent radical function is
[tex]f(x)=\sqrt{x}[/tex]
It means function g(x) is the translation of function [tex]f(x)=\sqrt{x}[/tex]. Option 1 is correct.
Domain is the set of input values.
Function is defined for all x ≥ -3.
Domain = { x | x ≥ -3 }
Option 2 is incorrect.
Range is the set of output values.
The values of the function are always greater than or equal to -1.
Range = { y | y ≥ -1 }
Option 3 is correct.
The graph of parent function [tex]f(x)=\sqrt{x}[/tex] shifts 3 units left and 1 unit down to get the graph of g(x). So the function g(x) is defined as
[tex]f(x)=\sqrt{x+3}-1[/tex]
Option 4 is incorrect.
The function g(x) can be translated right 3 units and up 1 unit to create the function [tex]f(x)=\sqrt{x}[/tex].
Option 5 is correct.
Related Questions
The perimeter of the rectangular state is 42 miles . A ranger estimates that there are 9 deer in each square mile of the park . If this estimates is correct ,how many total deer are in the park ,explain your answer using numbers ,symbols, and words
P.S this questions is important ,so answer it fast
Thank you
Answers
Answer:
990 deers is ONE possible answer.
Step-by-step explanation:
Since we don't know anything else than the perimeter, we don't know the exact dimensions of the park.
For example, it could be 10 x 11 miles, perimeter is 42, but the area is 110 sq miles.
It could also be 9 x 12 miles, perimeter is again 42, but the area is now 110 sq miles.
It could be a 1 x 20 miles park, perimeter is again 42, but the area is just 20 sq miles.
And it could be many other dimensions scenarios. That affect of course the calculation result.
For this answer, I'll assume the park is 10x11 miles, for an area of 110 sq miles.
Since the estimation is that there's 9 deeps for square mile... that means that for a park measuring 10x11 miles, there would be 990 deers (9 * 110).
Consider the equations: y = 3x + 2 and y = 2x + 1.
Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.
Answers
Answer:
(-1,-1)
Step-by-step explanation:
y = 3x + 2x y-1 -10 21 52 83 11y = 2x + 1x y-1 -10 11 32 53 7Sample calculation
y = 3x + 2 y = 2x + 1
x = 2 x = 2
y = ? y = ?
y = 3*2 + 2 y = 2*2 + 1
y = 6 + 2 y = 4 + 1
y = 8 y = 5
The two that give exactly the same answer is
(-1, - 1)
Step-by-step explanation:
Given : Consider the equations [tex]y=3x+2[/tex] and [tex]y=2x+1[/tex]
To find : Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations ?
Solution :
For the equation, [tex]y=3x+2[/tex]
[tex]y(-1)=3(-1)+2=-1[/tex]
[tex]y(0)=3(0)+2=2[/tex]
[tex]y(1)=3(1)+2=5[/tex]
[tex]y(2)=3(2)+2=8[/tex]
[tex]y(3)=3(3)+2=11[/tex]
We create a table,
x y
-1 -1
0 2
1 5
2 8
3 11
For the equation, [tex]y=2x+1[/tex]
[tex]y(-1)=2(-1)+1=-1[/tex]
[tex]y(0)=2(0)+1=1[/tex]
[tex]y(1)=2(1)+1=3[/tex]
[tex]y(2)=2(2)+1=5[/tex]
[tex]y(3)=2(3)+1=7[/tex]
We create a table,
x y
-1 -1
0 1
1 3
2 5
3 7
A shipping box is shown below how many cubic feet will the shipping box hold
Answers
Answer
42
Step-by-step
Answer:
42 cubic feet
Explanation:
Formula for triangular prism(the figure in your picture): Volume=(B)H
B=Base=1/2bh — b=4ft h=3.5 ft
H=Height of prism= 6ft
So substitute formula:
Volume=(1/2(4)(3.5))*(6)
Volume=7*6
Volume=42 cubic feet
Which is an exponential function with a y-intercept of (0, -2)?
Answers
Answer:
f(x) = e^x - 3
Step-by-step explanation:
f(x) = e^x has a y-intercept of (0, 1) so we need to translate the function down 3 units to give:
f(x) = e^x - 3 (answer).
Answer: y=4^x - 3 or f(x) 4^x - 3
Mama Mia restaurant used 1/2 of their mozzarella cheese making pizza, and the remaining 64 ounces making pasta. How many pounds did the restaurant start off with?
(please help I am bad at math)
Answers
Answer:
128 ounces
Step-by-step explanation:
Mama Mia Restaurant used 1/2 of their mozzarella cheese.
Fraction of the cheese left = 1 - 1/2 = 1/2
Remaining Cheese = 64 ounces
1/2 of their cheese = 64 ounces
All of their cheese = 64 x 2 = 128 ounces
Help!!!!!
A and B are independent events . P(A) = 0.80 and P(B) = .10 what is P(A and B) ?
Answers
The probability of A and B is:
[tex]P(A\ and\ B)=0.08[/tex]
Step-by-step explanation:We know that when two events: Event A and event B are independent then if P denote the probability of an event then Probability A and B is equal to the product of probability of the individual events.
i.e.
[tex]P(A\ and\ B)=P(A)\times P(B)[/tex]
Here we have:
P(A) = 0.80 and P(B) = 0.10
Hence,
[tex]P(A\ and\ B)=0.80\times 0.10\\\\P(A\ and\ B)=0.08[/tex]
Answer: 0.08
Step-by-step explanation:
What is the 3rd term in the sequence and how do you set it up
Answers
Answer:
135
Step-by-step explanation:
Using the given recursive rule, then
[tex]a_{2}[/tex] = [tex]a_{1}[/tex] (- 9) = [tex]\frac{5}{3}[/tex] (- 9) = - 15
[tex]a_{3}[/tex] = [tex]a_{2}[/tex] (- 9) = - 15 × - 9 = 135
What is the ratio of 7 nickles to 70 cents
Answers
This ratio can be presented as:
7:70
or
1:7
This graph shows the temperature in city for eight days what was the temperature range for this period 67 73 80 73 76 75 73 67 answers 12,13,15,16
Answers
Answer: The answer is 13
Step-by-step explanation: The range means to find the difference from the largest number and smallest number
1) line all the numbers from biggest to smallest
80,76,75,73,73,73,67,67
2) take the largest number and smallest number
largest=80
smallest=67
3) then subtract the two to find your range
80-67= 13How to fill in the prime factor tree?????? Answer???
Answers
Step-by-step explanation:
On the 8 branch, to the left is 2, and on the right is 4. On the left branch, and on the left, it is 2, and there is a 2 for the 6 branch.
A soup can has a diameter of 8 centimeters and a height of 15 centimeters. About how much soup does the can hold? Use 3.14 for pi. Round to the nearest tenth.
Answers
Answer:
754 cm cubed i believe the answer is
Step-by-step explanation:
umm what please help ? ? ? ? ?
Answers
Answer:
2nd answer choice from the top
Step-by-step explanation:
B is the answer for this question
3x+4(x-8)-14 evaluate for x=11
Answers
Answer:
For X = 11, the expression is equal to 31
Step-by-step explanation:
Hello
For X = 11 you only have to replaced the value into the expression, so:
3(11) + 4(11-8) - 14
33 + 4(3) - 14
33 + 12 - 14
31
Best regards
Hello there!
Plug 11 into the equation, by replacing x with it and simplify.
3x+ 4(x-8) - 14
3(11) + 4(11-8) - 14 -- Remember PEMDAS, start by subtracting 11 - 8.
3(11) + 4(3) - 14 -- Next, multiply 3 by 11.
33 + 4(3) - 14 -- Now, multiply 4 by 3.
33 + 12 - 14 -- Now, add 33 to 12.
45 - 14 -- Now, take 14 away from 45.
31 -- This is your final answer.
I hope this was helpful and have a great rest of your day! ~ saturns
Need contact number for this app!!!
Answers
Answer:
There is no number, I believe, but here:
https://brainly.com/app/contact
hope that helps!
huh I don’t know but hope you find what your looking for
Which would best illustrate the percentage of students that received As, Bs, Cs, Ds, and Fs on recent test ?
A) pie graph
B) histogram
C) data table
D) line graph
Answers
A) pie graph is ur answer
A) pie graph
Pie graphs are best used when comparing percentages, so it would be best to compare values using a pie graph in this situation.
Find the 13th term of the sequence 5, 8, 11, 14, 17...
A 13th term does not exist
41
46
49
Answers
5,8,11,14,17,20,23,26,29,32,35,38,41
Add each number by 3
13th term is 41 ( first choice)
Answer:41
Step-by-step explanation:
The numbers go up by 3
I NEED HELP with edges ans skwe lines HELP ME DUE IN 6 HOURS
Answers
Answer: Figure name: hexagonal pyramid.
bases: 1 base
faces: LRM, LMN, LNO, LOP, LPQ, LQR
edges: LO, LP, LQ, LR, LM, LM, PO, ON, NM, MR, RQ, QP.
vertices: L, O, P, Q, R, M, N.
hope this helps! ;)
A recipe calls for 2/3 cup of sugar for every 2 teaspoons of vanilla. What is the unit rate in cups per teaspoon?
Answers
Answer:
2/3 to 2 or 2/3:2 or two thirds to 2 or (2/3,2)
Step-by-step explanation: hope this helped
if you start on the unit circle at (0,-1) and move 360° in the counterclockwise direction, at what angle measure on the unit circle will you end up? Answer should be the angle measure in degrees.
Answers
Answer:
270°
Step-by-step explanation:
(0, -1) is at the 270° angle. If you do a 360°, you end up back where you started, so the angle is still 270°.
Help please
“What are my chances of drawing a g”
Answers
Answer:
0.1
Step-by-step explanation:
There are a total of 10 tiles, of which 1 is the letter G
P(G) = [tex]\frac{1}{10}[/tex] = 0.1
0.1
Explanation step by step:
There is a total of 10 tiles of which 1 is the letter G
[tex]P(G) = \ \frac{1}{10} = 0.1[/tex]
The regular price of a television set is $1,200. Albert buys the television set at a discount of 35% . How much does he pay for the television set?
Answers
He pays $780 for the television set.
1200*.35=420
1200-420=780
Albert pays $780 for the television set after receiving a 35% discount on the original price of $1,200.
The regular price of a television set is $1,200. To calculate the price Albert would pay after receiving a 35% discount, you need to calculate the discount amount and subtract it from the original price. The discount can be calculated by multiplying the original price by the discount percentage.
Discount = Original Price × Discount Percentage = $1,200 ×0.35 = $420
Now subtract the discount from the original price:
Final Price = Original Price - Discount = $1,200 - $420 = $780
Therefore, Albert pays $780 for the television set.
I NEED HELP ASAP!!!
The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.
Match the equation for how to solve for the side length of a cube to its description.
THANK YOU!!
Answers
Answer:
∛756 In. is the correct answer
Step-by-step explanation:
Here, Volume (V) = 756 in³
V = s³
Now,
756 = s³
s³ = 756
s = ∛756 In.
Thus, ∛756 In. is the correct answer
-TheUnknownScientist
Re-arrange this polynomial so it’s terms are in order from highest to lowest. 4x to the 5th power + 2x to the 3rd power - 15 - 7x to the second power
Answers
Answer:
[tex]4x^5+2x^3-7x^2-15[/tex]
Step-by-step explanation:
Look at the degrees of each term.
[tex]4x^5=5 \\ \\ 2x^3=3 \\ \\ -7x^2 = 2 \\ \\ -15=1[/tex]
Rearrange them from greatest to least.
[tex]4x^5+2x^3-7x^2-15[/tex]
A multiple choice test has five questions each with 5 possible answers. Find the probability of guessing the correct answers to all of the questions
Answers
Answer:
5/25 or 1/5
Step-by-step explanation:
5 questions, each has 5 possible answers, 5x5=25 each question had 1 correct answer so 5 right answers in the whole test. 5/25 but if u need to simplify, 1/5
Answer: Probability of guessing all 5 correctly: 1/3125 = 0.032%
Step-by-step explanation:
Probability of guessing the first question correctly: 1/5
For that 1/5 of the time when the first question has been guessed correctly, the second question could be guessed correctly 1/5 of the time. So the first two questions could be guessed correctly 1/5 × 1/5 = (1/5)^2 of the time.
Similarly the first three questions could be guessed correctly (1/5)^3 of the time.
and the first four, 1/5)^4 of the time;
and all fives,
(1/5)^5 of the time.
(1/5)^5 = 1/3125 = 0.00032 = 0.032%
* Hopefully this helps:) Mark me the brainliest:)!!!
if the mean of a normal distribution is 22, what is the median of the distribution?
Answers
Answer:
22
Step-by-step explanation:
Normal Distributions are the most important in statistics. They are also know as "bell curves".
There are special properties of Normal Distributions. I name 3 of them below:
1. Normal distributions are symmetric about their mean.
2. The area under the normal curve is 1
3. The mean, mode, and median of normal distribution are equal
This question can easily be solved using property #3 in the stated above properties.
The mean and median of normal distribution are equal. Since mean is given as 22, the median will also be 22.
Checking account A charges a monthly service fee of $23 and a wire transfer fee of $7.50, while checking account B charges a monthly service fee of $14 and a wire transfer fee of S9.50. Which checking account is the better deal if 4 wire transfers are made per month?
Answers
Answer:
Checking account B
Step-by-step explanation:
If you do 7.50 times 4 plus 23 you get 53 dollars. With plan B you go 9.50 times 4 plus 14 to get 52 dollars.
Campbell's is designing a new label for their soup cans that covers the entire side of the can The soup can has a height of 8 inches and a radius of 2.5 inches. Determine how much material is needed to create each label.
Answers
Answer:
When π is approximated, 125.68, or 40π
Step-by-step explanation:
Circumference formula is 2πr
This is approx: 15.71
Multiply that by 8 to find the surface area of the side of the can.
The answer is 125.68.
HOWEVER, if you are expressing this without approximating π,
it would be 5(Pi), then multiply by 8, and we would get 40π
So un-simplified is 40π
Final answer:
The amount of material needed to create each label for Campbell's soup cans is 40π square inches.
Explanation:
To determine the amount of material needed to create each label for Campbell's soup cans, we need to find the lateral surface area of the can. The lateral surface area is the area of the curved surface. Assuming the label covers the entire side of the can, we need to find the area of the curved surface which can be calculated using the formula:
Lateral Surface Area = 2 * π * radius * height
Substituting the given values, we have:
Lateral Surface Area = 2 * π * 2.5 * 8 = 40π square inches.
Hobby Shop is selling model cars and model trucks for 50% off this week. At the sale price, you can buy one car and one truck for $13.00. Also at the sale price, you can buy 4 trucks and 2 cars for $42.00. What is the sale price and the original price of the model car and the model truck?
Answers
Answer:
The truck original price is $16.00 and the car price is $5.00.
The truck sale price is $8.00 and the car price is $10.00.
Step-by-step explanation:
We need to find the original price of the truck (T) and car (C)
Sale price of the truck is 50% so that means it is half the original price.
Now let's see the equations we can come up with there:
At sale price:
[tex]T + C = \$13.00\\\\4T + 2C = \$42.00[/tex]
We can solve this through substitution.
Using the first equation, we can come up with an equation for one of the missing variables.
[tex]T + C =\$13.00\\\\C = \$13.00 - T[/tex]
We can use this equation on the second one, to solve for one variable. [tex]4T + 2C = \$42.00\\\\4T + 2(\$13.00-T) = \$42.00\\\\4T + \$26.00 - 2T = \$42.00\\\\4T - 2T = \$42.00 - \$26.00\\\\2T = \$16.00\\\\\dfrac{2T}{2}=\dfrac{\$16.00}{2}\\\\T = \$8.00[/tex]
The sale price of the model truck is $8.00.
Now can use this on the first equation again.
[tex]T + C = \$13.00\\\\\$8.00 + C = \$13.00\\\\C = \$13.00 - \$8.00\\\\C = \$5.00[/tex]
The sale price of the model car is $5.00.
Because it is 50% off on both models, the original price is twice the sale price. So we can solve it by multiplying the sale prices by 2.
Original price of model truck: $8.00 x 2 = $16.00
Original price of model car: $5.00 x 2 = $10.00
Answer:
The truck's original is $16. The sale price is $8. The car's original is $10. It's sale is $5.
Step-by-step explanation:
Please give me five stars, heart, and mark me brainliest! The other guy is incorrect.
Which runner has the fastest pace?
Answers
Answer:
the correct answer is distance 2 and time 18
Step-by-step explanation:
Answer:
answer is distance 2 and time 18
Step-by-step explanation:
solve for x.
9(x - 6) = 8(x + 6)
Answers
Answer:
x=102
Step-by-step explanation:
9x-54=8x+48
subtract 8x from both sides
x-54=48
add 54 to both sides
x=102
Answer:
x = 102
Step-by-step explanation:
9(x + -6) = 8(x + 6)
Reorder the terms:
9(-6 + x) = 8(x + 6)
(-6 * 9 + x * 9) = 8(x + 6)
(-54 + 9x) = 8(x + 6)
Reorder the terms:
-54 + 9x = 8(6 + x)
-54 + 9x = (6 * 8 + x * 8)
-54 + 9x = (48 + 8x)
Solving
-54 + 9x = 48 + 8x
Add '-8x' to each side of the equation.
-54 + 9x + -8x = 48 + 8x + -8x
Combine like terms: 9x + -8x = 1x
-54 + 1x = 48 + 8x + -8x
Combine like terms: 8x + -8x = 0
-54 + 1x = 48 + 0
-54 + 1x = 48
Add '54' to each side of the equation.
-54 + 54 + 1x = 48 + 54
Combine like terms: -54 + 54 = 0
0 + 1x = 48 + 54
1x = 48 + 54
Combine like terms: 48 + 54 = 102
1x = 102
Divide each side by '1'.
x = 102