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Andre45 [30]
4 years ago
11

Write an exponential function in the form y=ab^x that goes through points (0, 3) and (4, 48).

Mathematics
1 answer:
Lubov Fominskaja [6]4 years ago
7 0

Step-by-step explanation:

If you need to a graph then

Since (0,6) is on the graph of y = a(bx), 6 = a(b0).  So, a = 6.

y = 6bx

Since (5, 1458) is on the graph, 1458 = 6b5.

b5 = 243.  So, b = 3.

The function is y = 6(3)x.

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Direct variation means y=kx (inverse variation is yx=k or y=k/x)

so we are given that:

75=k/2, so k=150 which means:

y=150x  now

y(2.25)=150(2.25)=337.5
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A sample of 30 11th graders were asked to select a favorite pattern out of six choices. The following display shows what their f
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false-apex

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100 POINTS. HELP ASAP !!! PLEASE PLEASE
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Can someone help me with these four questions? They're the pictures (including possible answers)
34kurt
What is great about this question is that you aren’t required to give numerical approximations of the rate of change over the interval. This means that you have a lot less work to do than you think.

Start by drawing a dot on each y-coordinate of every given x value in the interval table (-13, -10, -5, -2, and 0). Then, for each interval, draw a straight line between the two y-coordinates of the two x-values given in the interval. So, for interval A, you would draw a straight line from f(-13) to f(-10). This line would have a steep downward slope; this means that the average rate of change over this interval is negative, or less than zero. A satisfies the question.

Interval B has a positive slope between the two y-coordinates, so it doesn’t satisfy the question. Interval C has a line with a slope of 0, but does satisfy the question because it’s asking for average changes less than or equal to zero.

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8 0
3 years ago
Step by step please :)
Pepsi [2]

Answer:

Step-by-step explanation:

a) (5,5) ;    (10,6);  slope = 1/5

  (x1,y2);    (x2,y2)

y-y1 = m (x-x1)

y-5=\frac{1}{5}*(x-5)\\\\y-5=\frac{1}{5}*x-\frac{1}{5}*5\\\\y-5=\frac{1}{5}x-1\\y=\frac{1}{5}x-1+5\\\\y=\frac{1}{5}x+4

d) (√2,7)    ; (√2,-7)

  (x1,y1)    ; (x2,y2)

slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-7}{\sqrt{2}-\sqrt{2}}\\\\=\frac{-14}{0}=0

Equation: y =7 or y = -7

3 0
3 years ago
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