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Artyom0805 [142]
3 years ago
9

Write an exponential function in the form y = ab that goes through points (0,19)and (5,4617).​

Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

y = 1/2 (2)x

     Step-by-step explanation:

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

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Genrish500 [490]

Answer:

D. $67.50

Step-by-step explanation:

A ticket costs $5.25, a drink costs $2.00, and a popcorn costs 4.00. Each person in the group buys all of these. So we know that each person is paying:

4.00 + 2.00 + 5.25 = 11.25

Since there are 6 people in the group we can multiply that by 6:

11.25 * 6 = 67.50

4 0
2 years ago
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If the slope of a line is -1/4,<br>find x when (x,2) and (1/2,6)​
Alecsey [184]
Use slope formula:
m = (y2-y1) / (x2-x1)
-1/4 = 6-2 / 1/2 - x
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-1/2 + x = 16

x = 16 1/2 or 33/2
7 0
3 years ago
A certain fraction is greater than 2. The denominator is 8. What must be true about the numerator?
Volgvan

Answer:

The numerator must be greater than 16

Step-by-step explanation:

We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;

x/y > 2

We are further told that the denominator is 8.

Thus;

x/8 > 2

Multiply both sides by 8 to give;

x > 16

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5 0
3 years ago
Find the value of r so the line that passes through the pair of points has the given slope.
SOVA2 [1]

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

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Putting the values in slope of line formula,

-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\

Multiplying both sides by -14

-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66

The value of r is 66

Hence,

The missing value in the ordered pair is 66

4 0
3 years ago
3x+4y=24 <br> 2x+5y=2<br> Please help me with this problem
Serga [27]

Answer:

x=16

y=-6

Step-by-step explanation:

6 0
3 years ago
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