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2 years ago

8

You must write your answer in fully simplified form. 8a= 5

1 answer:

Tresset [83]2 years ago

6 0

Answer:

x = 5/8

Step-by-step explanation:

$\frac{8x}{8} = \frac{5}{8}$

x= $\frac{5}{8}$

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The oak tree at school was 34 feet high it grew 18 feet taller how tall is the oak tree now

Alex_Xolod [135]

34 feet + 18 feet = 52 feet
The oak tree is 52 feet tall.

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2 years ago

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*Find the formula of the series 1+2²+3²+4²+....+n²*<br>

Sophie [7]

The formula is $\frac{n(n+1)(2n+1)}{6}$

What are series?

In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.

We will find the formula as shown as below:

Let $S=1+2^2+3^2+4^2+................+n^2$

We know $(n+1)^3=n^3+3n^2+3n+1$

$(1+1)^3=1^3+3(1)^2+3(1)+1$

$(2+1)^3=2^3+3(2)^2+3(2)+1$

$(3+1)^3=3^3+3(3)^2+3(3)+1$

.

.

$(n+1)^3=n^3+3(n)^2+3(n)+1$

On adding

$2^3+3^3+4^3......(n+1)^3=(1^3+2^3+3^3+.....+n^3)+3(1^2+2^2+.....+n^2)+3(1+2+3....n)+(1+1+1+....+1)$

$2^3+3^3+4^3......(n+1)^3-(1^3+2^3+3^3+.....+n^3)=3S+\frac{3n(n+1)}{2}+(1+1+1+....+1)$

$(n+1)^3-1^3=3S+\frac{3n(n+1)}{2} +n$

$n^3+3(n)^2+3(n)+1-1=3S+\frac{3n(n+1)}{2} +n$

$2n^3+6n^2+6n=6S+3n^2+3n+2n$

$6S=2n^3+3n^2+n$

$6S=2n^2(n+1)+n(n+1)$

$6S=(n+1)(2n^2+n)$

$6S=n(n+1)(2n+1)$

$S=\frac{n(n+1)(2n+1)}{6}$

Hence, the formula is $\frac{n(n+1)(2n+1)}{6}$

Learn more about Series here:

brainly.com/question/24643676

#SPJ1

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2 years ago

If 1 is the zero of polynomial p(x) x2a- 3xa+3x2-1 find the value of a

bonufazy [111]

The value of a can be obtained by substituting 1 to the equation and equating p(1) = 0.

<span> p(x) = x2a - 3xa + 3x2 -1 </span>

<span>p(1) = a - 3a +3 -1 = 0</span>

<span>therefore a =1</span>

the equation now becomes p(x) = x2 - 3x + 3x2 -1

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3 years ago

Express it in slope form

k0ka [10]

Y=Mx+b is slop intercept form the slope of the line is 1/4 and b is the y intercept which the line crosses over at -3 so it would be Y=1/4x-3

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2 years ago

Which expression is equivalent to the given expression -1/2(6x+9)-(x-3/2)

12345 [234]

Answer:

$-1/2(6x+9)-(x-3/2) \: is \: equivalent \: to \: -2/4(6x+9)-(3x-9/6) \\$

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3 years ago