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3 years ago

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

1 answer:

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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Find the measures of x and y

Blizzard [7]

Answer:

x = 159; y = 140

Step-by-step explanation:

a = 40

a + y = 180

y = 180 - 40

y = 140

b = 61

b = (180 - x) + a

61 = 180 - x + 40

x = 159

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2 years ago

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Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.

Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

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2 years ago

HELP ME PLEASE!!!!!!! ASAP!!!

Svet_ta [14]

x2+5x+3x-24

x(x+5)+3(x-8)

(x+3)(x+5)

x+3=0orx+5=0

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3 years ago

Which ratios are equivalent to 3:4

valentina_108 [34]

9:12, 18:24,6:8

3*3=9 and 4*3=12

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

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