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rusak2 [61]
3 years ago
11

The graph of an exponential function has a y-intercept of 4 and contains the point (3,500). Construct the exponential function t

hat describes the graph.
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

The "formula" for an exponential function is f(x) = a * bˣ where a is the initial value / y-intercept. Therefore, a = 4 so f(x) = 4 * bˣ. To solve for b, we can plug in the values x = 3 and f(x) = 500 which becomes:

500 = 4 * b³

125 = b³

b = 5 so the answer is f(x) = 4 · 5ˣ.

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11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
GrogVix [38]

Part A

<h3>Answer:  h^2 + 4h</h3>

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

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

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

Part B

<h3>Answer:  h^2 + 16h + 60</h3>

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

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

6 0
3 years ago
Write a real world problem about dividing $145,775 by $25 and solve.
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You use $25 each week for food from the grocery store how many weeks if you have 145,775
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3 years ago
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How do I solve #14????
Tcecarenko [31]
All the measures in a triangle are equal to 180 degrees.

Let the unknown angle= x.

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I hope this helps!
~kaikers
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Write 6:15 in ratio form
Rufina [12.5K]
6:15 is in ratio form..... If you mean fraction form, a ratio is equivalent to a fraction, so the answer is 6/15
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Which statement best describes the relationship between storage space and number of music files?
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Answer:

As the number of files increases, the storage space used increases.

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