Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
<span>σ</span> is a symbol for summation that means that it is used to add all the vales of the equation in the range
for example taking 0<x<4 and x is an integer
so Ď(x - 2)^2= (1-2)^2+(2-2)^2+(3-2)^2
The options were
a. Square each value
b. Subtract 2 points from each score
C. Sum the squared values
d. Subtract 22 from each X2 value
As we can see above the answer is C. Sum the squared values
The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵
<h3>What is differentiation?</h3>
The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.
Given that:-
The derivative will be calculated as:-
Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵
To know more about derivatives follow
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Answer:
1471.15
Step-by-step explanation:
Prime Factorization = Divide by factors that are prime number
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
147 = 3 x 7 x 7
147 = 3 x 7²
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Answer: 147 = 3 x 7²
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