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Lapatulllka [165]
3 years ago
15

Write an exponential equation in the form y = ab^x whose graph passes through points (4, 8) and (6, 32).

Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

Answer:

(1,4),(2,12)

----------

The form is y = ab^x

12 = ab^2

4 = ab^1

------------

Divide the 1st by the 2nd to get:

3 = b

--------

Substitute that into the 2nd equation to solve for "a":

4 = a*3^1

a=(4/3)

-------------

EQUATION:

y = (4/3)*2^x

==================

Step-by-step explanation:

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saw5 [17]

For this case we must find the solution set of the given inequalities:

Inequality 1:

3 (2x + 1)> 21

Applying distributive property on the left side of inequality:

6x + 3> 21

Subtracting 3 from both sides of the inequality:

6x> 21-3\\6x> 18

Dividing by 6 on both sides of the inequality:

x> \frac {18} {6}\\x> 3

Thus, the solution is given by all the values of "x" greater than 3.

Inequality 2:

4x + 3

Subtracting 3x from both sides of the inequality:

4x-3x + 3

Subtracting 3 from both sides of the inequality:

x

Thus, the solution is given by all values of x less than 4.

The solution set is given by the union of the two solutions, that is, all real numbers.

Answer:

All real numbers

8 0
3 years ago
What is the greatest common factor of 3 and 13?
Lyrx [107]

Answer: 1

Step-by-step explanation:

In order to find GCF, take the prime factorization of 3 and 13.

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13: 1*13 ==> Prime factorization of 3

The common factor is 1.

GCF of 13 and 3 is 1

4 0
1 year ago
Read 2 more answers
What else would need to be congruent to show that ABC = XYZ by ASA
andre [41]

Answer: Choice C.

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7 0
3 years ago
(2,170), (5,365) slope
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Answer:

To find the slope given two points, use the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the given points and solve.

365-170/5-2

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Hope this helps! :)

5 0
3 years ago
A What fractions can you find that are equivalent to 2/3?
SCORPION-xisa [38]

Answer:

4/6

Step-by-step explanation:

The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9

3 0
3 years ago
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