MATHEMATICS HIGH SCHOOL

The function g(x) = 2x2 – 28x + 3 written in vertex form is g(x) = 2(x – 7)2 – 95. Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of g(x) = 2x2 – 28x + 3?shifted up 3 units
shifted left 7 units
shifted right 7 units
shifted down 3 units

Answers

Answer 1
Answer: The general vertex form of a parabola is y = a(x-h)^2 + k 

Any changes in "a" denotes shrinking or stretching
Changes in "h" denotes being shifted to the left or to the right. If the value of "h" when x - h = 0 is positive, then it is shifted to the right. Otherwise, it is shifted to the left. 

As seen in the given vertex form g(x) = 2(x – 7)^2 – 95; x - 7 = 0; x = 7. Therefore, the graph is shifted right 7 units.
Answer 2
Answer:

Answer:

C.

Step-by-step explanation:

shifted right 7 units

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A boat travels 39 miles in 4 hours and 20 minutes. What is the speed of the boat in miles per hour?

Answers

Answer:

9.01 miles in 1 hour

Step-by-step explanation:

to get the answer first u need to do is turn the 20 mins to hours

well we can also turn the hour to mins and then turn it into hours

260 mins= 4.33 hours (rounded)

then 39/4.33= x/1

divided the top and bottom by 4.33

9.01/4.33 (rounded)

Which inequality will have a dashed boundary line with a shaded area above its graph? 7x − y ≤ 3 x − y ≤ 4 2x − 9y > 2 4x + 7y > 3

Answers

above the graph

look at them

7x-y <3
x-y<4
2x-9y>2
4x+7y>3

dashed boundary line means it does't include htat means taat the symbol is < or >

cross out first 2

one way is to graph the lines as equations and shade accordingly

2x-9y>2
y<2/9x+2/9
shade on bottom

4x+7y>3
y>-7/4x+3/9
shade on top


aswer is 4x+7y>3

Answer:

its D

Step-by-step explanation:

The box plots below show the average daily temperatures in July and August for a U.S. city: two box plots shown. The top one is labeled July. Minimum at 80, Q1 at 88, median at 96, Q3 at 103, maximum at 105. The bottom box plot is labeled August. Minimum at 80, Q1 at 82, median at 84, Q3 at 90, maximum at 100 What can you tell about the means for these two months?

Answers

The correct answer is:


The mean for July is smaller than the median; and

the mean for August is larger than the median.


Explanation:


A distribution with a positive skew would have a longer whisker in the positive direction than in the negative direction. A larger mean than median would also indicate a positive skew.


Alternatively, a distribution with a negative skew would have a longer whisker in the negative direction than in the positive direction. A smaller mean than median would also indicate a negative skew.


The whisker in the negative direction for July is longer than the whisker in the positive direction. This indicates a negative skew.


The whisker in the positive direction for August is longer than the whisker in the negative direction. This indicates a positive skew.

Answer:

its b

Step-by-step explanation:

i just got it right!!!!

2^4x2^4x2^4 as any rule that has to be applied.​

Answers

2^4x2^4x2^4 = 16x16x16 = 2^12 or 4096

Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail?A. x + y = 90

B. 5x – 10y = 90

C. 90 – 10y = 5x

D. 90 + 10y = 5x

Answers

It's the 3rd equation (which is in a disguised form)...we have

90 - 10y = 5x     add 10y to both sides

90 = 5x + 10y

This says that the nmber of tmes she hiked the 5 mile trail (x) plus the number of times she hiked the 10 mile trail (y) = 90 miles

lius has 5 over 8 quart of grape juice he pours the same amount in each 5 glasses which equation represents the fraction of a quart of grape juice n that is in each glass

Answers

so we have to divide 5/8 into 5 equal segments.

5        5
--  ÷  ---
8       1

in order to divide fractions we need to flip the second fraction and change the sign from a divition sign to a multiplication sign

5      1       5
-- × --- =   ---
8      5      40

now we just simplify  5/40 is equal to 1/8

each glass gets 1/8 of a quart
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