RemarkIt's asking you to complete the square to find the vertex.
Solvey = -2x^2 + x + 3 Put brackets around the first 2 terms.
y = (-2x^2 + x) + 3 Pull out the 2.
y = -2(x^2 - 1/2 x) + 3 Be especially observant of the sign on 1/2x Divide the middle term's number by 2 and square it.
y = -2(x^2 - 1/2 x + [(1/2) / 2]^2 ) + 3 [1/2 divided by 2 is 1/4. (1/4)^2 = 1/16; 2*(1/16) = 1/8
y = - 2(x^2 - 1/2 x + (1/4)^2 ) + 3 + 1/8
y = -2(x - 1/4)^2 + 3 1/8
CommentAnswer to your question. The maximum value (3 1/8) is above the y axis. That means the graph of the equation crosses the x axis twice. I'm going to include the graph because in answering the question, there is no harm in seeing the graph.
Answer:
0
Step-by-step explanation:
adding -7 to 7, since they are both constants (no variable) gives you 0. Adding -5x and 5x since they both have an x term gives you 0x also written as 0 (0*any number is 0). this gives you a final answer of 0
Answer:
B. f(n) = 8(2)^n-1
Step-by-step explanation:
I used guess and check to answer this.
Check--
First term: 8(2)^1-1 = 8
Second term: 8(2)^2-1 = 16
Third term: 8(2)^3-1 = 32
Fourth term: 8(2)^4-1 = 64
Fifth term: 8(2)^5-1 = 128
V=lwh
The height is 2 cubes, the length is 5 cubes, and the width is 3 cubes. Now you can just plug it into the formula.
V=lwh
V= 5x3x2
V=30
Hope this helps!! :)
Answer:
-0.3
Step-by-step explanation: