Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =
Answer: it’s c
Step-by-step explanation:
Just took it and it’s correct
The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) = x²
Let the second function be g ( x )
Now , the vertex of the function is at A ( -4 , -3 )
When the function is shifted left by 4 units and down by 3 units , we get
g ( x ) = ( x + 4 )² - 3
Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted
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Mayne is 28 years old. She is 12 years older than 2/3 of Laurels age. Which equation can be used to find Laurels age, a?
Answer:
B. ⅔a + 12 = 28
Step-by-step explanation:
Here are the options to this question
) ⅔ + 12a = 28
b) ⅔a + 12 = 28
c) ⅔a + 12a = 28
d) -⅔a + 12 = 28
Mayne's age can be represented with this equation =
28 = 12 + 2/3a
where a = laurels age
a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?
Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava from the balloon
Answer:
17
Step-by-step explanation:
Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.
I'm pretty sure thats right, Hope this helps.
i need help can someone help me
the mode is $6.00
thats the number there is the most of
HELPPPP FASTTTTTT no links or bad answers.
Answer:
The first answer is Surface Area and the second answer is Volume.
Step-by-step explanation:
Remember that Surface Area is the sum of ALL surfaces on a 3D shape. Volume is the amount of space of a three dimensional figure, which is measured in cubic units.
My Explanation:
The first one is surface area because the cube is a 3D shape and it is measured by 5in. The second one is volume because it has three dimensions: 15 inches by 12 inches by 3 inches and it is measured in cubic units.
I hope this answers your question! :)
Answer: Surface area, Volume
Step-by-step explanation:
convert five whole five over eight from fraction to decimals
Answer:
5.625 is the correct answer to convert five whole five over eight from fraction to decimals.
Step-by-step explanation:
=5/8+5
=0.625+5
=5.625#
plzzzzz help i really need it guys thxxxxxxxx!
Answer:
11. m=-1/4 b=5 equation is y=-1/4x+5
12.m=4/3 b=0 equation is y=4/3x
Step-by-step explanation:
If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.
The exact value of the cotangent of theta in simplest radical form is -21/20.
What is the simplest radical form?
The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.
To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.
Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:
[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]
Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:
cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)
sin(theta) = opposite/hypotenuse = -20/sqrt(1241)
Now we can find the value of cotangent of theta:
cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))
= -21/20
Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.
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need help!!!!!!!!!!!!!!!!!!!
Answer:Table 3 i think
Step-by-step explanation:
an astronaut drops a rock off the edge of a cliff on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average speed, in meters per second, of the rock between 5 & 10 seconds after it was dropped?
Answer:
The average speed between the times given is 12 m/s
Step-by-step explanation:
Here, we want to calculate rate of change between the times given
Mathematically , we can get the average rate of change using the formula
f(b)-f(a)/b-a
in this case, b = 10 s and a = 5 s
f(b) is d(10) = 0.8(10)^2 = 80
f(a) is d(5) = 0.8(5)^2 = 20
Rate of change is thus;
(80-20)/(10-5) = 60/5 = 12 m/s
Question 3 of 10
What is the formula for finding the break-even point?
A. Break even point =
(0.125)(# of points)
monthly savings
B. Break even point =
(0.01)(# of points) (P)
monthly savings
C. Break even point =
(0.125)(# of points) (P)
monthly savings
D. Break even point =
(0.01) (# of points)
monthly savings
SUB
Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings
Step-by-step explanation: took the quiz.
The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).
What is break-even point?The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.
The formula for finding the break-even point is:
Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)
Where:
Fixed costs: the costs that do not change with the level of production or salesUnit price: the selling price of one unit of the product or serviceVariable costs per unit: the costs that vary with the level of production or sales, such as materials, labor, and shipping costs.Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.
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Help
Write an equation in slope-intercept form of the line that passes through the given points.
Answer:
y = 1/2x+1
Step-by-step explanation:
Slope = Δy/Δx
The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.
Slope-intercept form: y=mx+b
We take point (0,1) and input into this equation.
1= 1/2×0 +b
1 = b
Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is
If a triangle has sides with lengths of 10 inches 12 inches and 14 inches is a right triangle?
Answer:
not a right triangle
Step-by-step explanation:
right triangles are those that prove out to be true when you square the two smaller sides and the sum is equal to the square of the longest side
true or false?
10² + 12² = 14²
100 + 144 = 196
False, ∴ not a right triangle
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.36 and event B occurs with probability 0.31. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that A does not occur or B does not occur (or both). 0. x 5 ? (b) Compute the probability that either A occurs without B occurring or A and B both occur. 0.36
Answer:
Events A and B are dependent
Step-by-step explanation:
If A and B are two events such as A and B are dependent then
P(A∩B) P(A) P(B)
An event A will occur with probability 0.4 that is
An event B will occur with probability 0.6 that is
The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20
Therefore,
P(A∩B) P(A) P(B)
So,
events A and B are dependent
Find the area of the parallelogram. 9 m 2 m A = b.h • 9 m?
Answer:
2.9
18 [tex]m^{2}[/tex]
Step-by-step explanation:
What is the diameter of a circle go through
Answer:
The diameter of a circle passes through the center of the circle and has its endpoints on the circle itself. The diameter of any circle is two times the length of that circle's radius.
Step-by-step explanation:
To find the diameter of a circle, you need to know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.
Sara invested a total of $1,014 by purchasing shares of two types of stock, stock A and stock B. she purchased 52 shares of stock A and 65 shares of stock B. if the combined cost for one share of stock A and one share of stock B is $17.18 find the cost per share of stock B
Answer: I think the answer might be 9.28.
Step-by-step explanation:
I was also confused with this question so I might be wrong.
Using the information provided above I was able to conclude that two possible equations you can form is A+B=17.18, where there is only 1 stock from company A and 1 stock from company B. The other equation is 52A+65B=1,014 since this is the total amount she spend on the stocks.
You can use Desmos to graph both of the equations or solve it by hand. If solving it by hand chose which method you wanna use wether it is elimination or substitution. (I would explain the process, but I am lazy)
ANYWAYS HOPED THIS HELPED :)
Nick used his credit card to make several large purchases, and now owes the credit card company $4,273 plus 32% interest. His mother gave him $500 for his birthday. Which is the most responsible choice he can make regarding his birthday money?
A.
He can use all the money to pay down his credit card debt.
B.
He can invest $200 in the stock market and pay down his credit card debt with the rest.
C.
He can put $250 into a savings account that pays 3.8% interest and pay down his credit card debt with the rest.
D.
He can put all the birthday money in the 3.8% savings account.
Answer:
Step-by-step explanation:
A, because more debt would build up for your credit card if you added money to a savings account since you would have to wait a whole year to get interest back. And it wouldn't be B because it simply would not be worth it to invest in stocks while in debt. Also, I just took the test and got it right!
The 819 runners in a race are divided into 6 different groups as equally as possible. How many extra runners are in the last group
Answer:
3 runners will be in the last group
Step-by-step explanation:
So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.
I hope this helps you!!!
❗❗❗PLS I NEED HELP ON THIS I DON'T UNDERSTAND PLS HELP❗❗❗❗❗❗
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if y=27 when x= 8 find y when x =11
Answer:
37 1/8
Step-by-step explanation:
The problem probably assumes direct variation
y=kx
IF so, then plug in the values and solve for k
27=k(8)
k = 27/8
y= (27/8)x. Now let x = 11
y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8
y = 37 1/8
the problem is making some assumption about the relation between x and y. The simplest assumption that's likely is direct variation, that x and y are linearly related. The graph is a straight line through the origin with slope = 27/8
I'll give you a brainiest, but please help me with this question. I need help.
Hope it helps you!.......
Answer:
Angle B would be 56 degrees.
PLZZ HELP!!!! ASAP PLZ!!!!
XTRA POINTS!!!
Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²
Grade low in math help if you can :) Geometry
Lauren wants to build a model airplane using a scale where 2 inches represents 15 feet. If the airplane is 75 feet long, how long should the model be?
A.
5 inches
B.
7.5 inches
C.
10 inches
D.
15 inches
Answer:
C) 10 inches
Step-by-step explanation:
I think the simplest way to do this is as follows:
divide 75 by 15 to get how many times you need to multiply 2in by
75/15=5
since 15(5)=75 or the actual size of the airplane,
2(5)=10 which is the size of the model airplane
You save $1400 from a summer job. You decide to put it into an account that earns simple annual interest. After 9 months, your balance is $1421. Find the annual interest rate.
Answer:
2%
Step-by-step explanation:
Calculate annual interest amount first:
annual interest x 9/12=21
Annual interest =21x12/9
annual interest amount=$28
calculate annual interest rate
1400 x interest rate = annual interest
$1400 x interest rate = $28
interest rate =$28/1400
interest rate=.02 or 2%
When you exercise, your target heart rate r at 70% can be determined by the formula r = 0.7(220 − a) where a represents your age in years. Solve the formula for a.
PLEASE HELP
6. Samuel runs 100 yards in 16 seconds. Jake runs 150 yards in 30 seconds. Who had the greater
speed while running? Justify your answer.
Answer:
samuel runs 200 yards in 32 seconds, while jake runs 15o yards in 30 seconds. samuel has greater speed than jake
Step-by-step explanation:
Suppose that the path of a newly discovered comet could be modeled by using one branch of the equation x2/4 - y2/9=1, where distances are measured in astronomical units. Name the vertices of the hyperbola and then graph the hyperbola.
Answer:
the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers
1.A
2.B
3.D
4.A
5.B
6.D
7.A
hopes this helps everyone
The hyperbola has two vertices at (-2,0) and (2,0)
We have given that the equation
[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]
What is the equation of the hyperbola?[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]
Compare the above equation of the hyperbola with given equation
therefore a=2
vertices are (-a,0) and (a,0)
Therefore the vertices are (-2,0) and (2,0)
See the graph of the hyperbola in link given below.
The hyperbola has two vertices at (-2,0) and (2,0)
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