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Daniel [21]
3 years ago
5

The product of x and the sum of 6 and 8 times the square of x

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

x = 14; x = 0  

Step-by-step explanation:

(x)(6 + 8) = x²

(x)(14) = x²

14x = x²

14x - x² = 0

(x)(14 - x) = 0

x = 14; x = 0  

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the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference
adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: a=2

Sum of first 15 terms: S_{15}=292.5

The formula of sum of first n terms of an AP is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Where, a is first term and d is common difference.

Putting S_{15}=292.5, n=15 and a=2 in the above formula, we get

292.5=\dfrac{15}{2}[2(2)+(15-1)d]

292.5=\dfrac{15}{2}[4+14d]

292.5=15[2+7d]

Divide both sides by 15.

\dfrac{292.5}{15}=2+7d

19.5=2+7d

19.5-2=7d

17.5=7d

Dividing both sides by 7, we get

\dfrac{17.5}{7}=d

2.5=d

Therefore, the common difference is 2.5.

8 0
3 years ago
Fraction 4 over 5 n = Fraction 2 over 3. n = ___?
Taya2010 [7]

Answer:

Step-by-step explanation:

(4/5)n = (2/3)

move 4/5 to the right

n = (2/3)/(4/5)

n = 5/6

5 0
3 years ago
How many 4 inch by 8 inch bricks are needed to build a walk 6 feet wide and 24 feet long
spayn [35]
I Believe it is 648  
6 0
3 years ago
Read 2 more answers
Algebra help please I need a equation please
Rudik [331]
K = s + 4
k + s = 26
s + 4 = 26
Subtract 4 from both sides of the equation.
s = 22
Steve ran 22 miles.
3 0
3 years ago
What is equivalent to 7-2(x+2)<-4-3(1-x)
Alex_Xolod [135]

after solving 7-2(x+2) we get x>2

Step-by-step explanation:

We need to find the value of x in:

7-2(x+2)

Solving:

7-2(x+2)

So, after solving 7-2(x+2) we get x>2

Keywords: Solving the expression

Learn more about Solving the expression at:

  • brainly.com/question/9390381
  • brainly.com/question/5723059
  • brainly.com/question/6075514

#learnwithBrainly

3 0
3 years ago
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