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3 years ago

Write an exponential function y = a(b)" whose graph passes through the given

Mathematics

1 answer:

mariarad [96]3 years ago

5 0

Answer:

y = 6 * 3ˣ

Step-by-step explanation:

y = a * bˣ

(-1 , 2): 2 = a * (b)⁻¹ = a/b a = 2b

(2 , 54) 54 = a * b² = 2b * b² = 2b³

b³ = 54/2 = 27 b = 3

a = 6

Function: y = 6 * 3ˣ

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Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.

sergejj [24]

Answer:

$a = 5\\\\b = -1\\\\c=1$

Step-by-step explanation:

Given

$-x+5x^2+1$

Required

Rewrite and identify a, b and c

The required form is:

$ax^2 + bx + c$

Equate both expressions

$ax^2 + bx + c = -x+5x^2+1$

Rewrite as:

$ax^2 + bx + c = 5x^2-x+1$

Compare the expressions on either sides

$a = 5\\\\b = -1\\\\c=1$

8 0

3 years ago

7/50 in simplest form

ivanzaharov [21]

7/50 is in its simplest form because 7 is a prime number and it is not divisible by any number except 7 or 1

6 0

3 years ago

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How do I change z= -14+ 8i from rectangular form to polar form?

Olenka [21]

The answer will be z=-6 because 16-8=6

3 0

3 years ago

The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow

Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

$P(t) = 232,012*e^{0.23*t}$

Then we just need to solve the equation for t:

$P(t) = 232,012*e^{0.23*t} = 1,000,000$

Let's solve that:

$232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\$

If we apply the natural logarithm to both sides:

$ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35$

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

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2 years ago

Solve.<br> 9x + 6y = -3<br> y = -8

klio [65]

Answer:

Step-by-step explanation:

9x+6y=-3

9x+6(-8)=-3

9x-48=-3

9x=45

x=5

6 0

3 years ago

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