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Alex73 [517]
3 years ago
15

If you apply the changes below to the cubic parent function, F(x)=x3, what is the equation of the new function if it reflects ac

ross the y-axis and vertically stretches by multiplying by 7
Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

g(x) = 7(-x)³

Step-by-step explanation:

The cubic parent function is given as; f(x) = x³

Now, we are told that it reflects across the y-axis. This means that the new function will take the form;

g(x) = f(-x)

Thus, the new function is;

g(x) = (-x)³

Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;

g(x) = 7(-x)³

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In June, a runner ran a mile in 7:45. In September, the runner ran a mile in 5:51.
kolbaska11 [484]
1.4 because you divide 7.45 by 5.51 and you get 1.35 which would be rounded to 1.4


3 0
4 years ago
In addition to x=8, im supposed to get x=-2. how do I get this answer?​
liq [111]

Answer:

theres a calculator that will go step bey step to solve these kind of problems

Step-by-step explanation:

8 0
3 years ago
A line passes through the origin and has a slope of 1/2.
ArbitrLikvidat [17]

Answer:

(2, 1)

Step-by-step explanation:

A line that passes through the origin and has a slope of 1/2 can be best represented as y = 1/2x

it starts at the origin

goes 2 units to the right

1 unit above

2 units to the right + 1 unit above = (2, 1)

Final Answer: (2, 1)

8 0
3 years ago
The equation of a circle is given below.<br> x^2?+ (y - 7.5)^2 = 9/49<br> What is its center?
adoni [48]

Answer:

(0,7.5)

Step-by-step explanation:

8 0
3 years ago
Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:
hjlf

Answer:

a) 75.62

b) 75.2

Step-by-step explanation:

Data provided:

79.9,75.1,78.2,74.1,73.9,75.0,77.6,77.3,73.8,74.6,75.5,74.0,74.7,75.9,72.6,73.8,74.2,78.1,75.4,76.3,75.3,76.2,74.9,78.0,75.1,76.8

Sum = 1966.3

Total number of observations, n = 26

a) Mean is given as:

Mean = \frac{\textup{Sum of all observations}}{\textup{Total number of observations}}

or

Mean = \frac{\textup{1966.3}}{\textup{26}}

or

Mean = 75.62

b) For value that separates the weakest 50% of the connectors i.e median or the 50th percentile

Arranging the data in ascending order:

72.6, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75, 75.1, 75.1, 75.3, 75.4, 75.5, 75.9, 76.2, 76.3, 76.8, 77.3, 77.6, 78, 78.1, 78.2, 79.9

i = \frac{\textup{n}}{\textup{2}}

or

i = \frac{\textup{26}}{\textup{2}}  = 13

When the number of observations is even the formula for median is:

Median = \frac{\frac{n}{2}+\frac{n+2}{2}}{2}

or

Median = \frac{\frac{26}{2}+\frac{26+2}{2}}{2}

or

Median = \frac{13th+14th}{2}

or

Median = \frac{75.1+75.3}{2}

or

Median = 75.2

7 0
3 years ago
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