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pychu [463]
3 years ago
8

Write an exponential function in the form y=ab^ x that goes through the points 007 and 5224​

Mathematics
1 answer:
kati45 [8]3 years ago
3 0
Answer:

y = 19 (3)x

Explanation:

y = abx

Plug in the numbers from the 2 given points to find a and b.

19 = ab0 = a
a = 19

171 = 19b2
b = 3

y = 19 (3)x
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What is the value of x in the diagram? A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured
Lunna [17]
If you visualize the problem, there are two concentric circles, the pool, and the pool plus the walkway. So, we have to subtract the area of these two concentric circles to find the walkway.

Bigger circle: Pool plus walkway
----------------------------------
diameter = 18 + 4(2)   -- this is because there is 2 ft of walkway at each far end
diameter = 26 ft
Area = pi*(26/2)^2
Area = 530.93 ft2

Smaller circle:pool
---------------------
diameter = 18 ft
Area = pi*(8/2)^2
Area = 50.27 ft2

Area of walkway
----------------
A = 530.93 - 50.27
A = 480.66 ft2

Then the cost would be
Cost = $4.25 * 480.66
Cost = $2,042.81
8 0
3 years ago
Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

(x-2)\\ (x-3)\\ (x-5)

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

x=2\\ x=3\\ x=5

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0

therefore

the answer Part b) is

the cubic polynomial function is equal to

x^{3}-10x^{2} +31x-30=0

7 0
2 years ago
Read 2 more answers
What is 7/4 plus -1/2 plus 2/3? And what’s the answer
vichka [17]

Answer:

1.85

Step-by-step explanation:

1.75-0.5+0.6= 1.85 or 1 17/20

4 0
3 years ago
Layla played sports for 3 3/4 hours. Punish time playing sports was 3/8 as long. About how many hours did puno play sports
Nostrana [21]
I would say 13 3/4 but dont take me for my word
4 0
3 years ago
Find the sum: 2 + 9 + 16 + ... + 37
iris [78.8K]

Step-by-step explanation:

Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.

this is the same as n/2 × (a1 + an), because

an = a1 + (n-1)×d

so, for the series above :

a or a1 = 2

d = 7, as every new term is the previous term plus 7.

for n

37 = a1 + (n-1)×d = 2 + (n-1)×7

and now solve for n

35 = 7n - 7

42 = 7n

n = 6

so, the sum of all terms is

6/2 × (2+37) = 3×39 = 117

7 0
3 years ago
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