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Alchen [17]
3 years ago
8

The graph of y = -3x + 2 intersects the graph of an exponential function at (-1, 5). Which of the following could be the exponen

tial function?
a) y = 10(2)
^{x}
b) y = 10(0.5)^{x}
c) y = 5^{x}
d) y = 5(2)^{x}
Mathematics
2 answers:
Andre45 [30]3 years ago
8 0
Of the function choices offered, only the first includes (-1, 5) in its graph.
  a) y = 10(2)^x
miskamm [114]3 years ago
7 0

Answer:

a) y = 10(2)^x

Step-by-step explanation:

In order to solve this you just need to evaluate the options given with the values of the point that is given in order to see if that point is a possibility in that function, remember to use the value of x to avaluate and if the result is the same as the points value for y then that poin is part of the graph.

a) y = 10(2)^x

y=10(2)^x\\y=10(2)^-1\\y=10*\frac{1}{2} \\y=5

Remember that when elevating to negative numbers the ecponent becomes a numerator, so the only option that is correct would be the first one a) y = 10(2)^x

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A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
Korolek [52]

Answer:

width=3

then length=5×3

now,

Area=l×b

= 15×3

=45

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3 years ago
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Examine the function f(x)=x+(3/x). Find the point on the curve at which the tangent lines pass through the point (1, 1).
vazorg [7]
Base on the function that you give and the data that are given. The point on the curve at which the tangent lines pass through the point (1,1). Base on my calculation and through my analyzations i came up with an answer of <span>-2x+3 = x+3/x</span>
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Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?
Archy [21]

Mr. Gardener's annual interest rate is 8%.

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8 0
3 years ago
If point A is located at (5,-7) and there are 8 points between A and B, what could be the possible coordinates for point B?
aleksandr82 [10.1K]

Answer: The possible cordinates (X,Y) of B can be found with the formula Y = √(8^2 - (X- 5)^2) - 7 where  -3 ≤ X ≤ 13

Step-by-step explanation:

The point A is located at (5, -7)

And we know that we have 8 units of difference between A and B.

The equation of a circle centerd in the point (x0, y0) is:

(x - x0)^2 + (y - y0)^2 = r2

where r is the radius of the circle

So we can draw a circle of 8 units around A, and get:

(X - 5)^2 + (Y - (-7))^2 = 8^2

So from this equation we can find all the possible values of B, for this we can isolate one of the variables in one side and get a function.

Y = √(8^2 - (X- 5)^2) - 7

So for a given value of X, you can find the value of Y. where you need to remember that (8^2 - (X-5)^2) can not be a negative number, so we must have that:

8^2 ≥ (X - 5)^2

So X can go from -3 (because (-3 - 5)^2 = 8^2)

to X = 13 (because (13 - 5)^2 = 8^2)

So X is in the range {-3, 13}

4 0
3 years ago
Read 2 more answers
Help please and how to did it cuz I’m confused
Brrunno [24]

Answer:

-125

Step-by-step explanation:

Step 1: Find g(-1)

g(x) = -5x²

g(-1) = -5(-1)²

g(-1) = -5(1)

g(-1) = -5

Step 2: Find g(-5)

g(-5) = -5(-5)²

g(-5) = -5(25)

g(-5) = -125

6 0
3 years ago
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