Answer:
Horizontal translation of the parent graph
Step-by-step explanation:
Definitions:In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:
(h, k) = vertex of the grapha = determines the width and direction of the graph's opening.A horizonal translation to the parent graph is given by, y = f(x - h), where:
h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the leftIn the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).
While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).
Answers:Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:
g(x) = a(x - h)² + k
g(x) = [x - (-12)]² + 0
g(x) = (x + 12)² + 0
g(x) = (x + 12)²
Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.
By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567
Answer:
option a as last digit even a d come in 3 table
The number of packages of ribbon varies directly to the total amount of ribbon in feet. At a packaging plant 12 packages of ribbon will contain 900 feet of ribbon. If 4 packages of ribbon on ordered, how many feet of ribbon will there be?
Answer:
300 feetStep-by-step explanation:
Direct variation equation:
y = kx, where k is the coefficient of variationWe have y = 900, when x = 12, find the value of k:
900 = 12kk = 900/12k = 75The equation is:
y = 75xNow, find the value of y, when x = 4:
y = 75*4 = 300Any one know the answer for this question??????
Answer:
C) y > 0
Step-by-step explanation:
I graphed it
Multiply.
[−8⋅4/11]⋅[(−0.1)⋅22]
Answer:
6.4
Step-by-step explanation:
Hope this helps :D
gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.
Step-by-step explanation:
According to the given we have following inequalities:
x + y ≤ 220y ≥ 4xSee the graph attached below.
Solution region is within the triangle with marked vertices.
thank you guys for helping me :) :)
Answer:
The second one is right
Step-by-step explanation:
Hope it helpssss
look at photo that is added
Solve.
x−(−256)=−15
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
x =
Step-by-step explanation:
[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]
Solve for X
6-6x=6x-8x+14
The Picture is attached below
Answer:
Step-by-step explanation:
Round 2,861 to the nearest hundred
Hey there!
2,891
= 200,000 + 800 + 90 + 01
= two-hundred thousand, eight hundred ninety one
Thousand:
2,000
Hundred:
900
Tens:
90
Ones:
1
Based on that information we can answer your question
SIMPLIFY IT
ANSWER: 2,900
[2,000 + 900 + 0 + 0]
[two thousand + nine hundred]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I will give 20 points
Answer:
This is like quadratic equation you just say y=1x+-2 and then you get the answer
hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D
Step-by-step explanation:
When you get negative it is ok.
It means you have a discount here, not really increase but decrease in price.
Here you have:
(1680 - 4200)/4200*100% = - 60%It is called 60% mark down or 60% discount
Find an equation for this line?
Answer:
y = -20/5 or -4/1 + 20 for the equation
−5 + 6 × 5/2 + 56 ÷ ( −8 )
Answer:
3
Step-by-step explanation:
Write each equation in STANDARD FORM. y=-2/3x+3
[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]
4 Anna plays a computer game for
of an hour each evening. How many
hours does she spend playing computer
games in a week? In 8 weeks? Draw a
model or write equations to show your
work.
Answer: 7, 56
Step-by-step explanation:
The answer to the first question is 7 because since there are 7 days in a week, and she plays for an hour each evening, 1 times 7 is 7. If she plays for 8 weeks, she would play for 56 hours because 7 times 8 is 56.
Simplify this expression 3(2h + 5)
Which constant term would mean that the expression is completely factored?.
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
took the test
What is the greatest common factor of 18, 6, and 36?
Answer:
18 is the greatest common factor between those
Answer:
There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.
Step-by-step explanation:
6=2(y+2) solve for what is y?
Answer:
y is 1
Step-by-step explanation:
Answer:
y = 1
Step-by-step explanation:
First divide both sides by 2
this gives you 3 = y+2
then subtract 2 from each side giving you y = 1
The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters
The angle subtended by the women voters are 100° more than the angle subtended by the men voters.
The total number of voters are 10080 votersReasons:
The angle subtended by the men on the pie chart = 130°
The number of women = 2800 + The number of men
Therefore;
Angle subtended by the women voters on the pie chart = 360° - 130° = 230°
The difference between the angle representing women and the angle
representing men = 230° - 130° = 100°
Therefore;
100° = 2800
Which by common ratios gives;
[tex]\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \ of \ voters }[/tex]
100 × Total number of voters = 2800 × 360
[tex]The \ total \ number \ of \ voters = \dfrac{2800 \times 360}{100} = 10080[/tex]
The total number of voters = 10080
Learn more here:
https://brainly.com/question/20431949
Answer:
The angle subtended by the women voters are 100° more than the angle subtended by the men voters.
The total number of voters are 10080 voters
Reasons:
The angle subtended by the men on the pie chart = 130°
The number of women = 2800 + The number of men
Therefore;
Angle subtended by the women voters on the pie chart = 360° - 130° = 230°
The difference between the angle representing women and the angle
representing men = 230° - 130° = 100°
Therefore;
100° = 2800
Which by common ratios gives;
100 × Total number of voters = 2800 × 360
The total number of voters = 10080
do the write a relation as a set of five ordered pairs then express the relation using a:
table
mapping diagram
graph
Answer:
Step-by-step explanation:
Table
x I y-------1 I 22 I 43 I 64 I 85 I 10need help with pre-cal please
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)Find a number such that 20 less than twice the number is 50.
The required simplified solution of the given expression is 35.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Let the number x,
A number such that 20 is less than twice the number is 50.
2x - 20 = 50
2x = 70
x = 35
Thus, the required simplified solution of the given expression is 35.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ5
Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?
Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.
Answer:
Paula jogs more by 0.1113636 miles or 600 feet.
Step-by-step explanation:
formula for feet to miles; 5280 / f.
2700 / 5280 = 0.5113636363636
0.113636363636 x 5280 = 600 feet.
Which of the following is equal to this expression? (254 * 64) 1/4
Answer:
4064
Step-by-step explanation:
254*64=16256*1/4=4064
Can someone please help me
Answer:
D. Step 3 and Step 4
Step-by-step explanation:
I tried to put in some numbers for x and I'm pretty sure that you can subtract stuff from both sides but you can't divide. I'm 70% sure, so tell me if something's wrong :)
Issac ate 2/4 of a pizza. Madison ate 1/5 how much did issac eat more than Madison?
Answer:
6/20. (simplified is 3/10)
Step-by-step explanation:
There were 6 teams in a baseball tournament. Each team played against every other team exactly once during the tournament. A team earned 2 points for a win, 1 point for a tie, and 0 points for a loss. What was the total number of points earned by all 6 teams in the tournament?
Since there were 6 teams in a baseball tournament, and each team played against every other team exactly once during the tournament, and a team earned 2 points for a win, 1 point for a tie, and 0 points for a loss, to determine what was the total number of points earned by all 6 teams in the tournament, since a series of results have not been raised, the following table should be made:
Possible outcomes: 5 wins = 5 x 2 = 10 4 wins and 1 a draw = 4 x 2 + 1 = 9 4 wins and 1 loss = 4 x 2 = 8 3 wins and 2 draws = 3 x 2 + 2 x 1 = 8 3 wins, 1 draw and 1 loss = 3 x 2 + 1 = 7 3 wins and 2 losses = 3 x 2 = 6 2 wins and 3 draws = 2 x 2 + 3 x 1 = 7 2 wins, 2 draws and 1 loss = 2 x 2 + 2 x 1 = 6 2 wins, 1 draw and 2 losses = 2 x 2 + 1 = 5 2 wins and 3 losses = 2 x 2 = 4 1 win and 4 draws = 2 x 1 + 4 x 1 = 6 1 win, 3 draws and 1 loss = 2 x 1 + 3 x 1 = 5 1 win, 2 draws and 2 losses = 2 x 1 + 2 x 1 = 4 1 win, 1 draw and 3 losses = 2 x 1 + 1 x 1 = 3 1 win and 4 losses = 2 x 1 = 2 5 draws = 5 x 1 = 5 4 draws and 1 loss = 4 x 1 = 4 3 draws and 2 losses = 3 x 1 = 3 2 draws and 3 losses = 2 x 1 = 2 1 draw and 4 loss = 4 x 1 = 1 5 losses = 0
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