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STALIN [3.7K]
3 years ago
7

I need help please ??????!!!!!

Mathematics
2 answers:
Alexus [3.1K]3 years ago
6 0
Answer- A and C

How to get answer- subtract each y variable and if the number stays the same it is linear
Kazeer [188]3 years ago
5 0

Answer:c

Step-by-step explanation:

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Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio
Viefleur [7K]

Answer:

r=\frac{1}{4}\\\\r=-\frac{5}{4}

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

\displaystyle S_n=a_1\frac{r^n-1}{r-1}

We are given: S3=252, a1=192, thus substuting:

\displaystyle 252=192\frac{r^3-1}{r-1}

Dividing by 12:

\displaystyle 21=16\frac{r^3-1}{r-1}

Recall that:

r^3-1=(r-1)(r^2+r+1)

Substituting:

\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}

Simplifying:

21=16(r^2+r+1)=16r^2+16r+16

Rearranging:

16r^2+16r+16-21=0

16r^2+16r-5=0

Rewriting:

16r^2-4r+20r-5=0

Factoring:

4r(4r-1)+5(4r-1)=0

(4r-1)(4r+5)=0

Solving:

r=\frac{1}{4}\\\\r=-\frac{5}{4}

Both solutions are valid

6 0
3 years ago
What is the eighth term of the arithmetic sequence? An=<br> 10n – 14?
Alja [10]

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

3 0
2 years ago
How do you simplify, explain<br> -3√7 -3√7 -2√32
andreev551 [17]
Since the first two numbers have the same radical, they can be combined. 
-3√7-3√7=-6<span>√7
Simplify -2</span>√32 to get -8<span>√2.

So simplified, you would get -6</span>√7-8<span>√2.</span>
8 0
3 years ago
450 is 75% of what number
Sergeu [11.5K]
•<span>75% = 0.75
•</span><span>450 ÷ 0.75 = 600
•</span><span>450 is 75% 0f 600
There are the steps that I used to get that </span><span>450 is 75% 0f 600</span>
3 0
2 years ago
Read 2 more answers
Eliminate the parameter. x = t2 + 2, y = t2 - 4
stepan [7]
\bf \begin{cases}&#10;x=t^2+2\implies x-2=t^2\implies \sqrt{x-2}=\boxed{t}\\\\&#10;y=t^2-4\\&#10;----------\\&#10;y=\left( \boxed{\sqrt{x-2}} \right)^2-4\implies y=x-2-4\\\\&#10;y=x-6&#10;\end{cases}

just a plain vanilla substitution

8 0
3 years ago
Read 2 more answers
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