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solniwko [45]
3 years ago
10

Write the equation for an exponential function that triples ever year, x, when the original amount is 4.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

y = 4(3)^x

Step-by-step explanation:

Here, we want to write the exponential equation

From the question, we have the equation tripling in x value every year and the original amount is 4

The exponential equation is of the form;

y = a(b)^n

In this case;

a = 4 , b = 3 and n = x

So we have the equation as;

y = 4(3)^x

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Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
UkoKoshka [18]

Answer:

Option (D) is correct.

No, They will not intersect.

Step-by-step explanation:

Given Points for g(x), (1,2) , (2,4) and (3,6)

Since g is a linear function then it must be in form of  g(x) = mx +c where, c is constant and m is slope.

We first calculate the slope using,

m=\frac{y_2-y_1}{x_2-x_1}

Here, consider x_1=1 , x_2=2 , y_1=2, y_2=4

Substitute above, we get slope as,

m=\frac{4-2}{2-1}=2

Thus, equation becomes g(x) = 2x + c  ...(1)

For c plug the values  in (1),

(1,2) ⇒ 2= 2 + c ⇒  c = 0

Thus, Equation of G(x) is 2x.

When we plot it it do not intersect f(x).

Thus, Option (D) is correct.

No, They will not intersect.




3 0
3 years ago
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ValentinkaMS [17]

Answer:

First, you write an explicit formula then plug in the value of n in the formula with the term number you are trying to find, in this case the 13th term.


The steps are in the pictures


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4 0
3 years ago
The boundary lines for the system of inequalities is given in the graph.
diamong [38]

Answer:

C)

region C

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

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0 ≥ −3 ☑ [We shade the portion of the graph that CONTAINS THE ORIGIN, which is the left side.]

So, now that we got that all cleared up, we can tell that both graphs share a region where the ORIGIN IS VISIBLE. Therefore region C matches the above inequalities.

I am joyous to assist you anytime.

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3 years ago
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The product of 6x and ......​
Amiraneli [1.4K]

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2 years ago
Which equation represents a circle with a center at (-3,-5) and a radius of 6 units?
kondaur [170]

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Step-by-step explanation:

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