Answers
Answer:
The image of point (2, 4) after transformation is (-2, 13) ⇒ D
Step-by-step explanation:
Let us revise some transformation
Translation right-left OR up-down
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) ⇒ add x-coordinate of every point by hIf the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) ⇒ subtract x-coordinate of every point by hIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by kA vertical stretching and a vertical compression (or shrinking)
If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m. ⇒ multiply every y-coordinate by mIf 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m ⇒ multiply every y-coordinate by mLet us use these rules to solve the question.
∵ Point (2, 4) lies on y = x²
∵ The image of y = x² is y = 3(x + 4)²+1
→ The rules of transformation is y = m(x + h)² + k
∵ m is the scale factor of a vertical stretched
∵ m = 3
→ By using the 5th rule above
∴ The y-coordinate of point (2, 4) should multiply by 3
∴ The image of the point is (2, 4 × 3) = (2, 12)
∵ h is the horizontal translation to the left
∵ h = 4
→ By using the 2nd rule above
∴ The x-coordinate of point (2, 12) should subtract by 4
∴ The image of the point is (2 - 4, 12) = (-2, 12)
∵ k is the vertical translation up
∵ k = 1
→ By using the 3rd rule above
∴ The y-coordinate of point (-2, 12) should add by 1
∴ The image of the point is (-2, 12 + 1) = (-2, 13)
∴ The image of point (2, 4) after transformation is (-2, 13)
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Answer:
14. 90%
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you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.
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Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
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Answer:
x = [tex]\sqrt{164[/tex]
Step-by-step explanation:
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What is the slope of a line perpendicular to the line whose equation is
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Answers
Answer:
-1
Step-by-step explanation:
Solve for y into y=mx+b
2x-2y=20
-2y=-2x+20
y=(-2x+20)/-2
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the slope is m, so it’s 1
A line perpendicular to that would be -1
Read the blog entry below and answer the question that follows:
At first I dreaded going to sixth grade camp. I was sure the food would be poisonous, I would freeze to death in my sleeping bag, and the other kids in my cabin would never talk to me. But was I wrong! In fact, it was the best week ever! I went horseback riding and participated in a ropes activity with a zip line course. After the course, I climbed to the top of a pole using only ropes and carabiner clips, and then I rappelled off the top. I even made a new best friend. Oh, by the way, the food was delicious. It tasted better than my mom's! (But don't tell her.)
Review the first sentence:
At first I dreaded going to sixth grade camp.
What is the connotation showing here?
A The author was impatient and could not wait to get to camp.
B The author was worried he/she might not enjoy camp.
C The author welcomed the opportunity to go to camp.
D The author was excited about going to camp.
Answers
Jackson spent $3,472 on a new TV. If he paid it off in 16 equal payments, how much was each payment?
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B $237
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Answers
Answer:
A. 217
Step-by-step explanation:
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What's another way to express the expression [4(17) + 3(25)] x 5?
Answers
Answer:
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Step-by-step explanation:
[4(17) + 3(25)] x 5
(68+3*25)*5
(68+75)*5
143*5
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What’s the slope of (-8,2) (1,9)
Answers
Step-by-step explanation:
equation of the line passing through two points
x-x1/x2-x1=y-y1/y2-y1
x-(-8)/1-(-8)=y-2/9-2
x+8/9=y-2/7
7x+56=9y-18
9y=7x+56+18
y=7/9x+74/9
y=mx+b m is the slope
so m=7/9
there is a short way showing slope shown in the picture
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Answers
Answer:
C
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"times" means multiplication
"a number" = n
"plus" means addition
"3" = 3
"is" means equal
"12" = 12
Step 2: Set up equation (combine)
5n + 3 = 12
Answer:
C
Step-by-step explanation:
a number represents n
is represents =
times represents multiplication
plus represents addition
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so this means
5n+3=12
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Answers
Step-by-step explanation:
2A=h(a+b)
2A=ha+hb
2A-hb=ha
2A-hb/h=a
2A = h(a + b)
Divide by h on both sides to get:
2A/h = a + b
Subtract b from both sides to get:
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A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
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Answer:
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Step-by-step explanation:
7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.
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Answers
Answer:
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Step-by-step explanation:
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Answers
i hope this helps!
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Answers
Answer:
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Step-by-step explanation:
Here is the correct system of equations you can write for this equation:
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Answers
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answers
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What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.
Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.
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Step-by-step explanation:
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Answers
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Answers
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Answers
Step-by-step explanation:
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Answers
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Answers
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Answers
Answer:
300
Step-by-step explanation:
4:7
7-4=3
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