The transformation of a function may involve any change. The correct option is D.
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 horizontal axis is input axis and 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) - dStretching:
Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)The given function f(x)=x² is transformed to h(x)=(1/8)x^2-13, therefore, the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right.
Hence, the correct option is D.
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Answer:
A.the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right
I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”
Answer:
Radius, r = 2.80 cm
Step-by-step explanation:
Given the following data;
Volume of cylinder = 207 cm³
Height = 8.4 cm
Pie, π = 3.14
To find the radius of the water bottle;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a cylinder.
r represents the radius of the cylinder.
h represents the height of the cylinder.
Substituting into the formula, we have;
207 = 3.14 * r² * 8.4
207 = 26.376r²
r² = 207/26.376
r² = 7.85
r = √7.85
Radius, r = 2.80 cm
12 divided by 1 1/5 plz hurry asap
Answer:
10
Step-by-step explanation:
Answer:
10 :)
Step-by-step explanation:
12 divided by 1 1/5 is the same as:
It is always easier to convert the fraction into a decimal:
like we converted 1/5 into .20.
[tex]\frac{12}{1.2}[/tex]=10
A question you can ask yourself is:
How many times can you multiply 1.2 to get 12?
1.2*10=12.
Hope it helps! :))
The table below show the approximate population of Virginia for 5 years. What is the
equation of the line of best fit?
Answer:
Y = 0.09X1 - 167.40
Step-by-step explanation:
Year (X) : 2000, 2004, 2006, 2007, 20008
Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77
Using technology, the regression model obtained is :
Y = 0.09X1 - 167.40
With a slope of 0.09 and intercept of - 167.40
Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his ... How much does Craig earn each month, in dollars?.
Which of the following represents the inequality for the sum of 11 and y is greater than -33? O11-y> -33 O 11+ y -33 11 + y 2-33
Answer:
11 + y > - 33
Step-by-step explanation:
To represent the expression :
Sum of 11 and y ; greater than - 33
Sum of 11 and y ; 11 + y
Greater Than - 33; > - 33
Hence ;
11 + y > - 33
Find the volume of the composite solid.
Answer:
2960 ft³
Step-by-step explanation:
Rectangular prism = 12x20x10=2400
Rectangular pyramid = 1/3x12x20x7=560
2400+560=2960
What is the correct answer???
PLEASE HE L P IT WOULD mean the world to me<3..............................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.
Answer:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal
Step-by-step explanation:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Find the value of x and y
x = 45° , y = 45°
x = 117° , y = 117°
x = 27° , y = 63°
x = 63° , y = 27°
Step-by-step explanation:
X=63 and Y=27 is the correct answer.
Find the whole number equal to the fraction below. Enter your answer in the space provided. 21 /3
Answer:
the answer is 7
Step-by-step explanation:
divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
A red pebble is equal to 3 yellow pebbles a blue pebble is equal to a red and 2 yellow pebbles a green is equal to 3 red pebbles. What is the value in pebbles of a green pebble and a blue pebble divided by 2 red pebbles and a yellow pebble
Answer: 2
Step-by-step explanation:
Given
Red pebble is equal to 3 yellow pebble
A blue marble is equal to a red pebble and 2 yellow pebble
A green pebble is equal to 3 red pebble
Suppose [tex]R,B,Y,G[/tex] represents red, blue, yellow, and green pebbles
[tex]\therefore R=3Y\\B=R+2Y\\G=3R[/tex]
Express Red in terms of yellow in blue pebble equation
[tex]B=3Y+2Y\\B=5Y[/tex]
Now, express Green Pebble in terms of yellow pebble
[tex]G=3R=3(3Y)\\G=9Y[/tex]
Value of
[tex]\Rightarrow \dfrac{G+B}{2R+Y}\\\\\Rightarrow \dfrac{9Y+5Y}{2\times 3Y+Y}\\\\\Rightarrow \dfrac{14Y}{7Y}=2[/tex]
Solve for x, rounding to the nearest hundredth.
6•10*=1
Answer:
ur an idiot
Step-by-step explanation:
Determine whether AB is tangent to the circle with center c
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
__
a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
__
b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
__
c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent
Simplify: [3(2a)3/2] 2
Answer:
2=18a
Step-by-step explanation:
The triangle and the rectangle have the same area
calculate the value of w.
Show your working
Answer:
2.5 cm
Step-by-step explanation:
6*5=30
30/2=15
That's the area of the triangle
The area of the rectangle must also equal 15
6*w=15
Divide by both sides by 6
This gives you: 2.5
The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm
Used the formula of area of the rectangle and area of the triangle which states that,
Area of rectangle = Length × Width
And, Area of triangle = 1/2 × Base × Height
Given that,
The triangle and the rectangle have the same area.
Here, in a triangle;
Base = 5 cm
Height = 6 cm
So, the Area of the triangle is,
[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]
[tex]A = 15 \text{ square cm}[/tex]
In a rectangle;
Length = 6 cm
Width = w cm
So, the area of a rectangle,
[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]
Since the triangle and the rectangle have the same area.
So, equate both the area of the triangle and rectangle,
[tex]6 \times w = 15[/tex]
Divide both sides by 6,
[tex]w = \dfrac{15}{6}[/tex]
[tex]w = 2.5 \text{ cm}[/tex]
So, the value of w is 2.5 cm
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someone help
NO LINK IM SO FR NO LINKS
Answer:
I think iit's no consistent
Step-by-step explanation:
no consistent because there is no multiplying happening and no consistent adding happening
five plus three plus five to the second power times five minus two
question off of moby max
How to find y intercept without a graph HELP
Answer:
You need to use the graph's equation and find the answer of y when x is 0 as this will give y when it is on the y axis.
To do this, substitute in 0 were x is in the equation and you will find the y intercept
how many kilometers rode her bike in x minutes?
its g, yww .
5 = 0.5
10 = 1.0
15 = 1.5
20 = 2.0
25 = 2.5
If 3x + 10 = 10 + 2x, what is the value of x?
A) x = 4
B) x = -4
C) x = -1
D) x = 0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.
Number Frequency Probability
1 4 0.13
2 6 0.20
3 5 0.17
4 7 0.23
5 3 0.10
6 5 0.17
total 30 1.00
To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.
5/30 = 1/6 or 0.166 or 16.6% or 17%.
For f (x) = StartFraction 6 x cubed minus x Over 2 x cubed minus x EndFractionthe ratio of the leading terms of the function is and Limit of StartFraction 6 x cubed minus x Over 2 x cubed minus x EndFraction as x approaches infinity= . These limits indicate there is an asymptote of .
Answer:
3, 3, and y=3
Step-by-step explanation:
got it right on edge
A ratio expresses the number of times one number contains another. The ratio of the given polynomial is equal to 3.
What is a Ratio?A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
Given the polynomial function, f(x)=(6x³ - x)/(2x³ - x). The leading coefficient is the constant of the term that has the highest power in a given polynomial. Therefore, the leading coefficient of the numerator and the denominator are 6 and 2, respectively. Thus, the ratio of the constant is,
Ratio = 6/2 = 3
Hence, the ratio of the given polynomial is equal to 3.
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Can you help me with this question
Answer:
308 (Third Option)
Step-by-step explanation:
Have a Great Day! :D
Choose the most reasonable estimate of the volume of a box with
dimensions as follows: width = 4.9 cm; length = 5.1 cm; height = 4.8 cm.
A. 75 cm3
B. 12 cm3
C. 50 cm3
D. 125 cm3
Answer:
D. 125cm
Step-by-step explanation:
Round each number for an estimate so you get 5 x 5 x 5 = 125
What is the surface area of a sphere with a radius of 12 units?
A. 14471 units2
B. 576 units2
C. 5767 units2
D. 2887 units2
here's the solution :
In a sphere,
[tex] \boxed { \mathsf{surface \: area = 4\pi r {}^{2} }}[/tex]
let's solve
[tex]s = 4 \times \pi \times 12 \times 12[/tex][tex]s = 144 \times 4 \times \pi[/tex][tex]s = 576\pi \: \: \: unit {}^{2} [/tex]hence, correct option is C. 576π unit²
Paula is draining her fish tank.
When she starts draining it, the height of the water is 33 cm.
Six minutes later, the height of the water is 15 cm.
Question: If the water continues to drain
at this rate until it is empty, how many
total minutes will it take Paula to drain
her fish tank?
Answer:
If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.
Step-by-step explanation:
In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.
What would this answer be?
Answer:
A
Step-by-step explanation:
the ' is always the image, so we see how all the letters that have ' in it are bigger than the ones that dont have ' in it.
We want the following inequality to be true: IMAGE BELOW!
Answer:
B. X=7
Step-by-step explanation:
Because 9 greater than 7