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4 years ago

4. Which of the following points are solutions to the system of inequalities 2x - 3y > 9 and -x -

Mathematics

1 answer:

Helen [10]4 years ago

7 0

Answer:

(1, -3)

Step-by-step explanation:

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Raphael graphed the functions g(x) = x + 2 and f(x) = x – 1. How many units below the y-intercept of g(x) is the y-intercept of

muminat

These functions are in the form y=mx+b
Therefore, we know that in g(x) = x+2, the y-intercept is 2.
For f(x) = x-1, the y-intercept is -1.
Now find the difference between them.
2-(-1)= 3
The y-intercept for f(x) is 3 units below g(x)

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3 years ago

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(15-16) Consider the Infinite Geometric Series:

vodka [1.7K]

15 Answer: S₁ = 1 S₂ = 4 S₃ = 13 S₄ = 40 Sum = NO

Step-by-step explanation:

1 + 3 + 9 + 27 + ... $\implies\sum^{\infty}_{n=1}3^{n-1}\implies\sum^{\infty}_{n=1}\dfrac{3^n}{3}\\\\\bullet S_1=1\\\bullet S_2=1+3=4\\\bullet S_3=1+3+9=13\\\bullet S=1+3+9+27=40\\\\\\ \lim_{n \to \infty} \dfrac{3^n}{3} \implies\dfrac{3^{\infty}}{3}\implies\infty\\\\\text{The series diverges so there is no sum.}$

16 Answer: $\bold{S_1=\dfrac{1}{2}\qquad S_2=\dfrac{2}{3}\qquad S_3=\dfrac{13}{18}\qquad S_4=\dfrac{39}{54}\qquad Sum=YES}$

Step-by-step explanation:

$\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{162}+...\implies \sum^{\infty}_{n=1}\dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\\\\\\\bullet S_1=\dfrac{1}{2}\\\\\bullet S_2=\dfrac{1}{2}+\dfrac{1}{6}=\dfrac{2}{3}\\\\\bullet S_3=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}=\dfrac{13}{18}\\\\\bullet S_4=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}=\dfrac{39}{54}$

$\lim_{n \to \infty} \dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\implies \dfrac{1}{2}\lim_{n \to \infty} \dfrac{1}{3^{\infty-1}}\implies \dfrac{1}{\infty}=0\\\\\\\text{The series converges so it does have a sum.}$

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3 years ago

Help me please!!!!!!!!!!!!!!!!!

iren [92.7K]

Answer:

A. x^6

Step-by-step explanation:

$z = {y}^{2} = {( {x}^{3} )}^{2} = {x}^{3 \times 2} = {x}^{6}$

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3 years ago

what are the missing variables?

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3 years ago

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I need help I’m timed what is the y- intercept of the linear function? y= 1/2 x + 4

Gennadij [26K]

Answer: (0,4)

Step-by-step explanation:

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3 years ago