Product factor is an expression in where you multiply the same value digit SEVERAL times
Exponent is the expression in where you convert product factor expression into a more brief (shorter) expression
For example of product factor:
-> 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
As you can see, 3 is multiplied many times, that makes it more extended.
Now, let’s make this product factor shorter using exponent.
-> since 3 is multiplied 3 times the exponent expression is:
-> 3 3 in where 3 is the base and the other 3 is called exponent.
Answer:
Vertex (-3,1)
Step-by-step explanation:
y = x^2 + 6x + 10 Put brackets around the first two terms
y = (x^2 + 6x) + 10 Take 1/2 the linear term (6) and square it. Put that inside the brackets. Always add.
y = (x^2 + 6x + (6/2)^2 ) + 10 Since you added in side the brackets, subtract after the 10
y = (x^2 + 6x + 9) + 10 - 9 The 3 terms inside the brackets are a perfect square. Combine the two terms outside the brackets.
y = (x + 3)^2 + 1
The vertex is at (the value that makes x + 3 go to zero, and the number outside the brackets)
(-3,1)
Check
The check is to ask Desmos to graph the equation. That graph is shown below. Notice that the lowest point is(-3,1). Notice that the graph and my answer do agree.
Answer:
c = 32/3
Step-by-step explanation:
Eliminate the fraction by mult. all terms by 8: 96 + 3c = 64.
Subtract 64 from both sides, obtaining: 3c = 32. Solving for c, c = 32/3.