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2 years ago

This table shows some values of an exponential function. x у 01.25 1 2.50 25 3 10 What is the function?

Mathematics

1 answer:

Helen [10]2 years ago

7 0

Answer:

$y= 1.25(2)^{x}$

Step-by-step explanation:

$y= 1.25(2)^{x}$

For x=0

$y= 1.25(2)^{0} = 1.25$

For x=1

$y= 1.25(2)^{1} = 1.25(2)=2.5$

For x=2

$y= 1.25(2)^{2} = 1.25(4)=5$

For x=3

$y= 1.25(2)^{3} = 1.25(8)=10$

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a parallelogram has one angle that measures 40. what are the measures of the other three angles in the parallelogram?

KonstantinChe [14]

Since one side is 40°, you subtract that from 180.

180° - 40°= 140°.

So therefore your missing side lengths are 140, 40, and 140.

hopefully this helps

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3 years ago

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3 years ago

1.the graph of y = x² is moved five units upward

KonstantinChe [14]

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

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2 years ago

Eight less than one-fourth of a number is 4

enyata [817]

1/4n-8=1/4 would be first because it says less than so you switch it. then you put the 8 since it's in the same subtraction problem. Then the word "is" indicates the equal sign. and the n represents "a number" since it is unknown.

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3 years ago

The Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times

DedPeter [7]

Answer:

The correct option is 2 .

Therefore ,the missing denominator of the solution. 4 plus or minus the square root of 2, all over is <u> 2 . </u>

$x=\dfrac{4\pm\sqrt{2}}{2}$

Step-by-step explanation:

For a Quadratic Equation ax² + bx + c = 0

By Formula Method we get

$x=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

So we have Quadratic Equation is 2x² - 8x + 7 = 0

On Comparing we get

$a=2\\b=-8\\c=7$

Substituting a , b, c values we get

$x=\dfrac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(7)}}{2(2)}\\\\x=\dfrac{8\pm\sqrt{64-56}}{4}\\\\x=\dfrac{8\pm\sqrt{8}}{4}\\\\x=\dfrac{8\pm2\sqrt{2}}{4}\\\\x=2(\dfrac{4\pm\sqrt{2}}{4})\\\\x=\dfrac{4\pm\sqrt{2}}{2}$

Therefore ,the missing denominator of the solution. 4 plus or minus the square root of 2, all over is <u> 2 . </u>

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3 years ago

This table shows some values of an exponential function. x у 01.25 1 2.50 25 3 10 What is the function?​

This table shows some values of an exponential function. x у 01.25 1 2.50 25 3 10 What is the function?