Which expression is equivalent to -6(3x-2/3)?

Mathematics

2 answers:

nlexa [21]3 years ago

6 0

i got it right on the unit test review

kupik [55]3 years ago

3 0

The answer is D -18x+4

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Suppose $x$,$y$, and $z$ form a geometric sequence. if you know that $x+y+z=18$ and $x^2+y^2+z^2=612$, find the value of $y$.

OverLord2011 [107]

Because x,y,z form a geometric sequence, therefore the common ratio is
r = y/x = z/y
That is,
y² = xz (1)

We are given:
x + y + z = 18
Therefore
x + z = 18 - y (2)

Also,
x² + y² + z² = 612
Therefore, from (1), obtain
x² + z² + xz = 612
(x + z)² - xz = 612
From (1) and (2), obtain
(18 - y)² - y² = 612
324 - 36y + y² - y² = 612
-36y = 288
y = -8

Answer: y = -8

4 0

4 years ago

Find the 5th term of the sequence defined by the give rule. f(n) = n²+ 5. A step by step explanation with answer would be greatl

skad [1K]

Answer:

Step-by-step explanation:

Given the formula

f(n) = n² + 5

where n is the number of terms

So from the question we were told to find the 5th term that's

n = 5

In order to find the 5th term substitute the value of n that's 5 into the rule

We have

f(5) = 5² + 5

= 25 + 5

= 30

So the 5th term of the sequence in the given rule is 30

Hope this helps you

3 0

4 years ago

System Of Equations Elimination Method

andre [41]

1. x = 3, y = 2
2. x = -99/68, y = -14/17
3. x = -4, y = 1
4. x = 1, y = 5
5. x = -1, y = 0
6. x = 2, y = -3
7. x = 14, y = 20

I attached the pictures with the work.