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2 years ago

What’s the Y and X intercepts? 12x + y = 120

Mathematics

1 answer:

Bess [88]2 years ago

3 0

Answer:

Y intercept (0,120), x-intercept (10,0)

Step-by-step explanation:

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Question 8, how do i do it? Please show work too

DENIUS [597]

Answer: 26

Step-by-step explanation:

10 : 3 means for every 3 songs he kept, he deleted 10

He deleted 20

10 * 2 = 20

3 * 2 = 6

He deleted 20 songs, and kept 6.

So, he had 26 songs on his MP3 player.

20 + 6 = 26

4 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 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

3 years ago

HELP WITH THIS MATH ANSWER QUESTIONS 1-4 URGENT HELP!!!!!!!!!

Margarita [4]

1.) 9 cm
2.) 5 cm
3.) 10 in
4.) 4 in

3 0

3 years ago

What is the value of x? -2/7x+6+1/7x=18 x=

Alenkinab [10]

$- \frac{2}{7} x$ + 6 + $\frac{1}{7} x$ = 18

First, simplify $\frac{2}{7} x$ to $\frac{2x}{7}$ / Your problem should look like: $-\frac{2x}{7}$ + 6 + $\frac{1}{7} x$ = 18
Second, simplify $\frac{1}{7} x$ to $\frac{x}{7}$ / Your problem should look like: $- \frac{2x}{7}$ + 6 + $\frac{x}{7}$ = 18
Third, simplify $- \frac{2x}{7}$ + 6 + $\frac{x}{7}$ to $- \frac{x}{7}$ + 6 / Your problem should look like: $-\frac{x}{7}$ + 6 = 18
Fourth, regroup terms. / Your problem should look like: 6 - $\frac{x}{7}$ = 18
Fifth, multiply both sides by 7. / Your problem should look like: 42 - x = 126
Sixth, subtract 42 from both sides. / Your problem should look like: -x = 126 - 42
Seventh, simplify 126 - 42 to 84. / Your problem should look like: -x = 84
Eighth, multiply both sides by -1. / Your problem should look like: x = -84

Answer: x = -84

4 0

3 years ago

Evaluate the expression for x = 4, y=-2, z= -3. 2² + 8zy - y²

andrew11 [14]

Answer:

Pretty sure its 53

Step-by-step explanation:

9+48-4

3 0

3 years ago

Read 2 more answers