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3 years ago

Find the equation of the exponential function represented by the table below:

Mathematics

1 answer:

Elden [556K]3 years ago

7 0

Answer:

The equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

Step-by-step explanation:

We know the equation of exponential function such as

$f(x) = ab^{x}$

Put x=0, and y=2 in the function

$2 = ab^{0}$

$2 = a$

Also x=1, and y=8 in the function

$8 = 2b^{1}$

$b=4$

Thus,

$f(x) = ab^{x}$

$= 2(4)^{x}$

Therefore, the equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

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if a number is a natural number, then it is also a whole number? what is the Inverse, the Converse, the Contrapositive, and the

aev [14]

I believe you're learning geometry. Anyways, here are examples of natural numbers: 1, 2, 3... Meanwhile, here are examples of whole numbers: 0, 1, 2, 3... Natural numbers are all the positive whole numbers. Whole numbers are quantities that are both positive and neutral, and don't include any fractions or decimals.

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3 years ago

Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be

STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

$10x^2-19x+6$

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

$10x^2-19x+6=0$

$10x^2-15x-4x+6=0$

$5x(2x-3)-2(2x-3)=0$

$(5x-2)(2x-3)=0$

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

3 0

3 years ago

Ariel is working at meat -packing plant 5 night a weak .Her regular wage is $11 an hour.She earns time and a half for any overti

Bond [772]

Answer:

$148.50.

Step-by-step explanation:

Hourly wage for time and a half = 11 * 1.5

=$16.50

For 9 hours she earns 16.50 * 9

= $148.50.

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3 years ago

Show that triangle MPT =Triangle MTP

exis [7]

Unusual notation. I won't fuss with it.

a. We have isosceles PRT, so angle RPT = angle RTP.

By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.

We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP

Similarly, m angle RPT = 2 m angle MPT

2 m angle MTP = 2 m angle MPT

angle MPT = angle MPT

That's the first part.

b. That makes MPT isosceles.

c. 2x+124=180

2x = 56

x = 28 degrees

MTP = 28 degrees

d. We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees

PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees

Bad drawing, PUT looks acute.

angle PRT = 68 degrees, angle PUT = 96 degrees

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3 years ago

Find the simple interest on $8,000 at 4% interest for 2.5 years?

boyakko [2]

Answer:

800

Step-by-step explanation:

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3 years ago