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cestrela7 [59]
3 years ago
10

Find the equation of the exponential function represented by the table below: above^^^^

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Answer:

Step-by-step explanation:

We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is

y=a(b)^x where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)

Solving first for a:

3=a(b)^0. Sine anything in the world raised to a power of 0 is 1, we can determine that

a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:

1.5=3(b)^1. Since b to the first is just b:

1.5 = 3b so

b = .5

Filling in our model:

y=3(\frac{1}{2})^x

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.

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At a school, 177 students play a sport. This is 60% of the students that go to the school. How many students are at the school?
TEA [102]

Answer:

the answer is 205

Step-by-step explanation:

%/100 X is/of  177 IS 60% of the students. so you put 60/100 and multiply 177/X  177X100=17700. Now divide that by 60 and you come up with 28.33.  This obviously is not the answer so you add 28 (does not round up to 29) to 177 and you get 205.

7 0
3 years ago
(a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)
Andreas93 [3]

Answer:

- 3a³ + 5a² - 3a + 7

Step-by-step explanation:

Given

(a³ - 2a + 5) - (4a³ - 5a² + a - 2)

Distribute both parenthesis noting the second is distributed by - 1

= a³ - 2a + 5 - 4a³ + 5a² - a + 2 ← collect like terms

= (a³ - 4a³ ) + 5a² + (- 2a - a) + (5 + 2)

= - 3a³ + 5a² - 3a + 7

3 0
3 years ago
I need help on this assignment
larisa86 [58]
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Big Bob’s Pizza is having a special on pizza and is offering two different choices:
Anna71 [15]

Answer:

The Choice N#1 will give more pizza for your money

Step-by-step explanation:

step 1

Find the area of one slice Choice #1

The area of the circle is equal to

A=\pi r^{2}

we have

r=22/2=11\ in ----> the radius is half the diameter

assume

\pi =3.14

The area of one slice is equal to

A=(1/8)\pi r^{2}

substitute

A=(1/8)(3.14)(11)^{2}

A=47.4925\ in^{2}

Divide the cost by the area

4.95/47.4925=0.10\frac{\$}{in^{2}}

step 2

Find the area of the entire personal pizza Choice # 2

The area of the circle is equal to

A=\pi r^{2}

we have

r=6/2=3\ in ----> the radius is half the diameter

assume

\pi =3.14

substitute

A=(3.14)(3)^{2}

A=28.26\ in^{2}

Divide the cost by the area

3.75/28.26=0.13\frac{\$}{in^{2}}

therefore

The Choice N#1 will give more pizza for your money

5 0
3 years ago
Ashley is making cookies for her Easter party. Each batch of cookies mix need 0.4 cups of sugar and each batch can make 16 cooki
stepan [7]

Answer:

1.6 cups

Step-by-step explanation:

Each batch needs 0.4 cups of sugar, and she is making 4 batches. Therefore, we can multiply 0.4 times 4 to find how much sugar is needed.

0.4*4=1.6

So, she needs 1.6 cups of sugar for 4 batches

5 0
3 years ago
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