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Fynjy0 [20]
3 years ago
11

What is the slope of the line that passes through the points (9,4) and (9,-5)?

Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

undefined

Step-by-step explanation:

4- -5/9-9

9/0

undefined

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Distribute5x (3x + 7)
stiv31 [10]
The answer will be as shown in the pic 15x^(2) +35x

4 0
3 years ago
What is the the total cost of a book that is $45.60 with a sales tax of 7.5%
sineoko [7]
3.42 multiply 45.60 by 0.075


6 0
3 years ago
(Algebra 2) write a polynomial function of least degree with integral coefficients that has the given zeros.
saveliy_v [14]

Answer:

x^{2} -2ix+3=0 .

Step-by-step explanation:

Given the zeroes of the polynomial are

a=-i . and b=3i

The recquired polynomial is (x-a)(x-b)=0

On substituting the values of a and b we get

(x+i)(x-3i)=0

x^{2} -3xi+ix-3i^{2}=0

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6 0
3 years ago
If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have S_1=3\times2^{1-1}+2(-1)^1=3-2=1, which agrees with the initial value <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume

S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}

and

S_k=3\times2^{k-1}+2(-1)^k

We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or

S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}

From the given recurrence, we know

S_{k+1}=S_k+2S_{k-1}

so that

S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)

S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}

S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)

S_{k+1}=3\times2^k-2(-1)^k

S_{k+1}=3\times2^k+2(-1)(-1)^k

\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}

which is what we needed. QED

6 0
3 years ago
A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest​ 63% of shoppers use credit
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3 0
3 years ago
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