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Novosadov [1.4K]
2 years ago
5

Can someone please help me?!?

Mathematics
1 answer:
allsm [11]2 years ago
5 0

Answer:

492,4.93,50,493

Step-by-step explanation:

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which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x 2? righ
irina1246 [14]

Answer:

5 units to the right and 23 units down

Step-by-step explanation:

we have

f(x)=x^{2}

This is a vertical parabola open upward with vertex at point (0,0)

g(x)=x^{2} -10x+2

Step 1

Convert the function g(x) into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

g(x)-2=x^{2} -10x

Complete the square. Remember to balance the equation by adding the same constants to each side

g(x)-2+25=x^{2} -10x+25

g(x)+23=x^{2} -10x+25

Rewrite as perfect squares

g(x)+23=(x-5)^{2}

g(x)=(x-5)^{2}-23

The function g(x) is a vertical parabola with the vertex at point (5,-23)

Step 2

Find the rule of the translation

(0,0)-------> (5,-23)

(x,y)-------> (x+5,y-23)

That means

The translation is 5 units to the right and 23 units down

6 0
3 years ago
Read 2 more answers
Amy used a total of 7 1/4 gallons of gas while driving her car. Each hour she was driving, she used 5/6 gallons of gas. What was
nika2105 [10]

Answer:  8  7/10  hours

whole part = 8

fractional part = 7/10

========================================================

Work Shown:

x = number of hours driving

(5/6)x = total number of gallons of gas used

(5/6)x = 7 & 1/4

(5/6)x = 7 + 1/4

(5/6)x = 28/4 + 1/4

(5/6)x = 29/4

x = (29/4)*(6/5)

x = (29*6)/(4*5)

x = 174/20

x = 87/10

x = (80+7)/10

x = 80/10 + 7/10

x = 8 + 7/10

x = 8 & 7/10

This is the same as writing 8  7/10

Amy drove 8 full hours, plus an additional 7/10 of an hour.

That mixed number converts to the decimal value 8.7

7 0
1 year ago
Type your answer in decimal form. Do not round. Millimeters=9.2 centimeters
Alinara [238K]

Answer: 92


Step-by-step explanation:


8 0
4 years ago
Read 2 more answers
The width of a rectangle is 7 less than twice the length. If the perimeter of the rectangle is 43.6 inches, what is the area of
fgiga [73]

half of 43.6 is 21.8  

9.6+12.2=21.8

9.6 length

12.2 width

9.6*12.2=117.12

so the area would be 117.12

8 0
3 years ago
A line passes through the point (-3,-5) and has a slope of 2. Write the slope-intercept form.
fiasKO [112]
Here is the step by step explanation
Hope this helps
Leave a like and brainliest!

4 0
3 years ago
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