Answer:
Step-by-step explanation:
The variables are defined, so we only need to express the given relations. The total of the two quantities is 14.
x + y = 14
The sum of costs is $72. Totts are $8 each, so x of them will cost 8x. Elentines are $3 each, so y of them will cost 3y.
8x +3y = 72
The function is y = 3(x+3)^2-9
The equation of a parabola is
y=a(x-h)^2+k
where (h,k) are the coordinates of the vertex and a, is a constant.
From the question, we have
(h,k)=(-3,-9)
⇒y=a(x+3)^2-9
To find a, substitute x=-2,y=-6
-6=a(-2+3)^2-9
⇒a=3
The equation, y=3(x+3)^2-9
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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The angles are supplementary, for 98+82=180
The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
<h3>How to evaluate the function?</h3>
The equation of the function is given as:
g(x) = x^3 + 6x^2 + 12x + 8
When x = -1, we have:
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Evaluate the expression
g(-1) = 1
Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
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3/4 divided by 8/1
copy dot flip
3/4 * 1/8
find a common denominator
4 and 8 both share 8
4*2=8
8*1=8
3*2=6
1*1=1
6/8 * 1/8
cross multiply
6*8 =48
8*1 = 8
8/48
8/48 simplified = 1/6