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Mrrafil [7]
3 years ago
14

Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x​

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

                                   

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

y = 1 (2)x

     2

Step-by-step explanation:

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How many solutions does this linear system have y= 1/2x+4 <br> x+2y=-8
lara [203]

Answer:

1 solution

Step-by-step explanation:

y = 1/2x + 4  

x + 2y = -8

Solve the second equation for y.

2y = -x - 8

y = -1/2x - 4

The two equations in slope-intercept form are:

y = 1/2x + 4

y = -1/2x - 4

The system consists of two lines with different slopes, so they intercept at a single point which is the solution.

Answer: 1 solution

4 0
3 years ago
Tim is painting his storage shed who buys 4 gallons of white paint and 3 gallons of blue paint meaning of each gallon of white p
LenKa [72]

Answer:

  $128.49

Step-by-step explanation:

4 gallons at $15.72 each is 4×$15.72 = $62.88

3 gallons at $21.87 each is 3×$21.87 = $65.61

The total purchase is ...

$62.88 +65.61 = $128.49

Tim will be spending $128.49 on paint.

5 0
3 years ago
Read 2 more answers
30 ⅓ % of 3 plz help me
Vikki [24]

Answer:

3 / 10 is the answer in fraction and 0.3 is the answer in decimal.

Step-by-step explanation:

hope this answer will help you

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5 0
3 years ago
Write 16.66666666... as a fraction.
adoni [48]
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3 0
3 years ago
Below are two different functions, f(x) and g(x). What can be determined about their slopes?
worty [1.4K]
<h3>Answer: B) the function g(x) has a larger slope</h3>

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

Explanation:

The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.

The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula

m = (y2-y1)/(x2-x1)

to get the same result.

Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).

6 0
3 years ago
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