Answer:
8x^6-27y^6
Step-by-step explanation:
simplify the expression
The graph of f(x)=x2 is horizontally stretched by a factor of 2 and then shifted to the left 2 units and down 4 units. Which equation describes the function g that results?
Using shifting concepts, it is found that function g is given by:
[tex]g(x) = \frac{x^2 - 4x - 12}{4}[/tex]
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Horizontally stretching a function f(x) a units is the same as finding [tex]f(\frac{x}{a})[/tex]Shifting a function f(x) a units to the left is the same as finding f(x - a).Shifting a function f(x) down a units is the same as finding f(x) - a.--------------
The parent function is:
[tex]f(x) = x^2[/tex]
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Horizontally stretching by a factor of 2.
[tex]f(\frac{x}{2}) = (\frac{x}{2})^2 = \frac{x^2}{4}[/tex]
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Shifting left 2 units:
[tex]f(\frac{(x-2)}{2}) = \frac{(x - 2)^2}{4} = \frac{x^2 - 4x + 4}{4}[/tex]
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Shifting down 4 units:
[tex]g(x) = f(\frac{(x-2)}{2}) - 4 = \frac{x^2 - 4x + 4}{4} - 4 = \frac{x^2 - 4x + 4}{4} - \frac{16}{4} = \frac{x^2 - 4x - 12}{4}[/tex]
A similar problem is given at https://brainly.com/question/24465194
Time sure passes when you're procrastinating. My math homework is due tommorow. so answer please, with solutions to how you got the answer.
Multiple Choice. Choose the letter of the best answer. Write the chosen
letter on space before each number.
____1. You can answer a quadratic equation in the form of ax²+c=0 by?
A. Isolating C. Extracting the Square Roots B. Elimination
D. Divide both by a
____2. What is the form of quadratic equation when b=0?
A. ax²+c=0 C. ax²+bx+c=0
B. ax²+b+c=0 D. ax²+bx+cx=0
____3. Which of the following is equal to x² =
100? A. 10 C. -10,-10 B.-10 D. 10,-10
____4. What are the factors of the quadratic equation x² – 6x = - 8?
A. (x + 4) (x – 2) C. (x + 4) (x + 2)
B. (x - 4) (x - 2) D. (x – 4) (x + 2)
____5. One of the roots of 2x²-5x-3=0 is -1/2 what is the other root?
A. 3 C. 5
B. -3 D. -5
___6. Which of the following is equal to x² -121= ?
A. 11 C. -11,-11
B.-11 D. 11,-11
___7. It is important that in factoring you set first the equation in_________.
A. standard form C. substituting the given C. factored form
D. all of the above
Answer:
3. [tex]x^{2}[/tex] = 100 answer: A.10
Step-by-step explanation:
10 x 10 =100
If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree
If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree?
To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.
In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.
[tex]9,139-6,016=3,123[/tex]
The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.
[tex]2010 \rightarrow2014 = 4 \text{ years}[/tex]
That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.
[tex]\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75[/tex]
That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.
Answer:
I Agree
Step-by-step explanation:
That seems like a fair advantage for people planning to go to college!
What is the domain of the following relation?
a. {-3, -1, 1, 4, 5}
b. {-5, 0, 2, 6}
c. {-3, -5, 0, 2, 4, 5, 6}
d. there is no domain
Which of these equations is correct? Select all that apply.
(4-42=4 -
0 (224 = 26
D(6-5) -3 -6 15
(832=8
(35)-2-
1
Answer:
(35-2- is the correct answer you can believe me
A stadium has 55,000 seats . Seats sell for $28 in Section A
At 1:00 p.m., Kahlil hops in his car and drives at a constant speed of 35 mph for 12 minutes to the grocery store. After 15
minutes at the grocery store, he realizes he is late and drives at a constant speed of 40 mph to the school, arriving at 1:42 p.m.
He then spends 20 minutes at school, buying tickets for the game.
Answer:
Uh? What's the question?
The most a baker can spend on strawberries is $95.00. Strawberries cost $3.99 per pound, and the produce supplier charges a $15.20 delivery fee. The following inequality, where s stands for the number of pounds of strawberries, represents this situation:
Answer:
3.99s + 15.20 = 95.00
Step-by-step explanation:
you would put 's' next to the 3.99 because that's what your multiplying or having more than 1 of, then you would add the 15.20 because it's just a one time delivery fee.
Answer:
The answer is 20
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: s≥20
Interval Notation: [20,∞)
In the cafeteria, 100 milk cartons were put out for breakfast. After breakfast there were 40 milk cartons left. What is the ratio of milk cartons taken to total milk cartons put out for breakfast.
Answer:
3:5
Step-by-step explanation:
There were 100 milk cartons there and someone took 100-x=40. Add 100 on both sides 40-100=-60 so 60 milk cartons were taken. So the ratio would be 60:100, which can be simplified further 30:50 15:25 3:5.
Tom counted a total of 45 birds and squirrels at the park. There were 4 times as many birds as squirrels. How many birds did Tom count?
Answer:
9 squirrels and 36 birds
Step-by-step explanation:
4x+x=45
5x=45
x=9
4*9=36
Monica works in a mailroom for 18 hours
each week. How many hours does she work in
52 weeks?
Answer:
936
Step-by-step explanation:
Because 18 times 52= 936
if (x) = x+8 and g(x) = -4x-3, find (f+ g)(x).
A. (F+ 9)(x) = 5x +11
B. (f+9)(x) = -3x+5
C. (f+ g)(x) = 3x - 5
D. (f+ 9)(x) = -5x - 11
Answer:
Answer=B
(f+g)(x)=-3x-5
Step-by-step explanation:
f(x)=x+8.
g(x)=-4x-3.
(f+g)(x) means f(x)+g(x),So
(x+8)+(-4x-3)
(add all same terms together)
=(x+(-4x))+(8+(-3))
=-3x+5
so,
(f+g)(x)=-3x+5
Select the line segment.
A.
B.
C.
D
−|9| = −9 True or False
Answer:
false
Step-by-step explanation:
Answer:
false because the absolute value of -9 would be 9 not negativ 9
Which ordered pair is a solution to the equation? y - 6 = 7(x - 4) Recall (x, y)
Answer:
Your answer is neither
Step-by-step explanation:
Answer:
The last one: Neither
Step-by-step explanation:
Khan
the difference between half of a number and 9 is 17
Answer:
4
Step-by-step explanation:
9 divided by 2 is 4.5 17 divided by 2 is 8.5 subtract the two to get 4
Answer: The difference between 26 and 9 is 17
What value of x makes this equation true?
0.5x – 8= 0.2x + 7
Jenny & Natasha are working on a problem together: Solve x / 3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
Answer:
−2x3
Step-by-step explanation:
i sloved the equation then mulitipilied by 3
The
perimeter of
rectangle is 36 cm
If its width is 7cm Exaluate to its length
Answer:
11
Step-by-step explanation:
after sharing a pizza you and two friends divide the cost by three. You each owe $2.66. Explain how to round this to the nearest dime?
Answer:
Hi so you have the answer
Say you have 1.23 if the last digit is under 5 it would be 1.20
Now say you have 3.47 if the last digit is above 5 it would be 3.50
If it is something like 4.45 the 5 is the last digit so it would be 4.50
Step-by-step explanation:
um hope this helped :)
a car travels 180 miles in 3 hours what is the rate of it
Answer:
60mph
Step-by-step explanation:
johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so?
Answer:
johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so
The definition of a circle uses the undefined term _______.
arc
line
plane
ray
Answer:
I believe the answer is plane
Step-by-step explanation:
Answer:
plane
Step-by-step explanation:
Geometry practice book
Answer:
what about it ?
Step-by-step explanation:
The length and width of a rectangle is (x + 5) and x, respectively.
Which statement best describes (x + 5)?
A.
The width of the rectangle is 5 times the length.
B.
The width of the rectangle is 5 more than the length.
C.
The length of the rectangle is 5 more than the width.
D.
The length of the rectangle is 5 times the width.
Answer:
the lenght of the rectangle is five more than the width
Write it slope intercept form:
Slope= -1 Y intercept= 8
Answer:
y = -x + 8
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
We are given that the slope is -1 and the y-intercept is 8. We are asked to write the information in slope-intercept form. To do this, lets plug in -1 for m, the slope, and 8 for b, the y-intercept, into the equation for slope-intercept form.
y = mx + b
y = -1x + 8
y = -x + 8
So the slope intercept form would be y = -x + 8.
I hope you find my answer and explanation to be helpful. Happy studying.
Karen scored a 76 on an exam meaning is 74 and one standard deviation of eight. Find her Z score.
Answer:
0.25
Step-by-step explanation:
(76-74)/8
=2/8
=1/4
=0.25
helppp me please!!!
Answer:
18 hdhb
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
21/1 x 6/7
21 x 6 = 126
1 x 7 = 7
126 / 7 = 18
Luke ate a snack with 91 total calories. If the chips he ate were 41.2
calories, how many calories were in the rest of his snack? *
50.8
132.2
049.8
Answer:
132.2
Step-by-step explanation:
you just add the percentage of its calories
Today it rained 2 inches and continues to rain at a rate of one fourth inch per hour what is the liner model in y=X+
Answer:
y=[tex]\frac{1}{4}[/tex]h+2
Step-by-step explanation: