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3 years ago

F(x)=10x+3, g(x)=9x-2

Mathematics

2 answers:

algol133 years ago

8 0

G(10x+3)=90x+25
This should be the answer

Sphinxa [80]3 years ago

3 0

(10x+5)*(9x-2)

90x^2-20x+45x-10

90x^2+25x-10

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Do someone one want to help me with this ?

Annette [7]

Answer:

The equation is 4y+8=9

The expression is 3-2

The inequality is 7/y < 6

Step-by-step explanation:

7 0

2 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 S₁ = 1.

• Assume the closed form is correct for all n up to n = k. 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 n = k + 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

2 years ago

What is the measure of the angle at the tail end of the kite?

Alja [10]

Answer:

79 inches if don't believe me dont

Step-by-step explanation:

just putting in words give me points so

6 0

3 years ago

Trapezoid W′X′Y′Z′ is the image of trapezoid WXYZ under a dilation through point C.

IRINA_888 [86]

Formula for scale factor
=image devide object
the answer is c

4 0

2 years ago

Read 2 more answers

Mrs katz is buying apples and carrot cake for a school party.the apples cost $2.12 per pound.the carrot costs $19.75 estimate th

Salsk061 [2.6K]

a rough estimate is 26 because 20+2(3)=26

3 pounds of apples are 6.36

19.75+ 2.12(3) = 26.11

5 0

2 years ago