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3 years ago

Which functions have graphs that are steeper than the graph of f(x)=−3x^2?

Mathematics

1 answer:

netineya [11]3 years ago

8 0

Answer:

g(x)=−4x^2 and m(x)=4x^2

Step-by-step explanation:

A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.

The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.

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3 years ago

Which is A Prime Number? 7 33 27 63

aalyn [17]

Answer:

Step-by-step explanation:

the others can be mulitples with other numbers besides itself.

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4 years ago

Read 2 more answers

Shawn hike 12 miles and 4 hours at the same rate what is the total number of miles he could hike in 9 hours

irga5000 [103]

Answer:

27 miles

Step-by-step explanation:

Find the rate or speed that Shawn hikes at. Find this reduced to lowest terms.

speed = distance / time

speed = 12 miles / 4h

speed = 3miles / h

Every hour, Shawn hikes 3 miles.

Multiply speed by time to find distance.

3mph X 9h = 27 miles

Therefore Shawn could hikes 27 miles in 9 hours.

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3 years ago

In calculating the monthly payment for a five-year loan, what value should be used for n, the number of periods over which the l

Ymorist [56]

The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

We have to determine

In calculating the monthly payment for a five-year loan, what value should be used for n, the number of periods over which the loan is repaid, as it appears in the following formula?

<h3>What formula is used to calculate the monthly payment?</h3>

The value of the monthly payment is given by;

$\rm P=PV\times \dfrac{i}{1-(1+i)^{-n}}$

Where,

PV is the present value or the amount of the loan.

i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.

n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.

Therefore,

The value should be used for n, the number of periods over which the loan is repaid;

n = 6 years × 12 months/year = 60 months = 60 periods.

Hence, The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

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3 years ago

Through (2,-2) parallel to y= -1/2x+5

Rzqust [24]

The equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$ is $y = \frac{-x}{2}-1$

<em><u>Solution:</u></em>

We have to find the equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where "m" is the slope of line and "c" is the y-intercept

On comparing the given equation of line $y = \frac{-1}{2}x+5$ with eqn 1,

$m = \frac{-1}{2}$

We know that slope of a line and slope of line parallel to it is always equal

Therefore, slope of line parallel to given line is also $m = \frac{-1}{2}$

Substitute (x, y) = (2, -2) and $m = \frac{-1}{2}$ in eqn 1

$-2=\frac{-1}{2}(2)+c\\\\-2 = -1+c\\\\c = -2+1\\\\c = -1$

Substitute c = -1 and $m = \frac{-1}{2}$ in eqn 1

$y = \frac{-1}{2}x -1\\\\y = \frac{-x}{2}-1$

Thus equation of line parallel to given line is found

8 0

3 years ago