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3 years ago

Please answer quick!

Mathematics

1 answer:

inessss [21]3 years ago

5 0

The answer should be the 3rd one

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Find the 7th term of the arithmetic sequence 5x + 9, 8x + 5, 11x + 1,...

ohaa [14]

Answer:

Step-by-step explanation:

In arithmetic sequence: a₂ - a₁ = a₃ - a₂ {common difference}

$a_1=5x+9\\a_2=8x+5\\a_3=11x+1\\\\\\d=8x+5-(5x+9)=8x+5-5x-9=3x-4\\\\a_n=a_1+d(n-1)\\\\a_7=5x+9+(3x-4)\cdot6\\\\a_7=5x+9+18x-24\\\\a_7=33x-15$

4 0

3 years ago

How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?

Sliva [168]

Answer:

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

$b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x$

and

$b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q$

Express q:

$q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}$

Solve this equation. Cross multiply:

$(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49$

5 0

2 years ago

Solving the systems of equations by elimination-solo team teach<br><br> x+y=-7 <br> 3x+y=-9

maria [59]

Answer: x= -1, y= -6

7 0

2 years ago

What's the domain for this???

nikklg [1K]

All Real Numbers is the domain

8 0

2 years ago

Read 2 more answers

Cual es el valor de la expression<br>7×3²+3×7+6

Julli [10]

Answer:

Step-by-step explanation:

7 x (3x3) + (3x7) +6

(7 x 9) + 21+6

63 + 21 + 6

3 0

3 years ago