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3 years ago

The following table represents an exponential function.

Mathematics

2 answers:

ozzi3 years ago

4 0

Answer:

a = 4

b = 1/2

Step-by-step explanation:

if x =0 then b^0 = 1. You have your first constant.

y = a*b^0

4 = a * 1

a = 4

Now you can pick 1 point to figure out b

x = 1

y = 2

y = a*b^x

2 = 4*b^1 but b^1 is just b

2 = 4* b

b = 2/4

b = 1/2

Alenkinab [10]3 years ago

4 0

Answer:

a=4

b=1/2

Step-by-step explanation:

The exponential function is given as: ab^x

When x=0 , ab^0=4

⇒ a=4 (since, b^0=1)

When x=1, ab^1=2

4b=2

⇒ b=1/2

Hence, The values of a and b are:

a=4

b=1/2

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3 years ago

An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the s

maks197457 [2]

Answer:

$W_s \approx5.3$

Step-by-step explanation:

From the question we are told that

Height $H=3.5ft$

Weight $W= 6ft$

Depth $D=0.95ft$

Generally the equation for ellipses is given as

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

Where

$b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\$

$\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1$

Generally to find y in the equation $\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

$y=-b+d$

$y=-1.75+0.95$

$y=-0.8$

Therefore

$\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1$

$\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}$

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3 0

3 years ago

Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9?

Alex73 [517]

Subsitute in all to see which ones have tthose solutions
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A works
B is false
C is false
D is true
E is false
F is false

answer is A and D

4 0

3 years ago

Read 2 more answers

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zheka24 [161]

Answer:

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Step-by-step explanation:

because the picture shows no O's

6 0

3 years ago

Each of 8 students reported the number of movies they saw in the past year. This is what they reported: 7, 18, 18, 15, 17, 10, 1

Serhud [2]

Answer:

Mean= 13.38

Median= 15

Step-by-step explanation:

The mean can be calculated by getting the sun of the 8 scores and then dividing it by the number of students

Mean= 7 + 18 + 18 + 15 + 17 + 10 + 15 + 7/8

= 107/8

= 13.38

The median can be calculated by first rearranging the numbers from the lowest to the highest and then calculating the average of the two middle numbers

7 , 7, 10, 15, 15, 17, 18, 18

Median = 15+15/2

= 30/2

= 15

Hence the mean is 13.38 and the median is 15

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3 years ago