What is the vertex of the function f(x) = x2 + 12x?
Answers
y = x² + 12x = x (x + 12)
So roots are x = -12 or 0
Therefore axis of symmetry is x = (-12 + 0) / 2 = -6
We got x-coordinate of vertex. Now plug in x=-6 to solve for y.
y = (-6)² + 12(-6) = 36 - 72 = -36
Therefore vertex is (-6, -36).
Answer: The correct answer is A (-6,-36)
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Use the linear equation to answer the question y=2/3x-3 y=-3/2x+2
A hexagonal prism has.............vertices.
Solve k + 4 - 2k - 24 > 0
A plumber has 8 9/10 feet of rubber tubing to make 2 rubber pipes. He will use3 1/12 feet of tubing to make each pipe. The plumber says he will have about 3 feet of rubber tubing after he makes the pipes. Is his statement reasonable?
Answers
So
In order to make them equal, Multiply 15 by 5 and 25 by 3 so that both of them are
After that you can just multiply each by 2, 3, 4, and 5 because all the other common multiples are multiples of 75. You get
150, 225, 300, 375, as well as 75
So:
75
150
225
300
375
25 = 25,50,75,100,125,150,175,200,225,250,275,300,325,350,375
The first 5 common multiples of 15 and 25 are 75, 150, 225, 300, and 375.
Answers
The initial height of the helicopter is 40 ft.
For every second (let's call time as t) he climbs upward, he goes 21 ft.
So we can write height of helicopter as with respect to t.
In functional notation we can write the height (f(t)) of the helicopter at time (t) as:
To find the height of the helicopter after 45 seconds, we plug in 45 into the equation in place of t to get:
So after 45 seconds, the height of the helicopter is 985 ft.
ANSWER:
- Equation modelling height of helicopter with respect to time:
- Height of helicopter after 45 seconds is 985 ft.
each second climbs 21 ft
40+21(number of second)
h=40+21t
at t=45
h=40+21(45)
h=40+945
h=985
height is 985
rule is h=21t+40 or h=40+21t
Answers
A. 1/12
B. 9/16
C. 12/13
D. 13/12
Answers
6/13 / 6/12 = 6/13 * 12/6 = 12/13
The correct result would be C. 12/13.
Let's solve your question:
Your answer is C. 12/13.
Answers
consecitive odd
means they are 2 years apart
j is younger
j+2=s
product is 783
783=js
s=j+2
783=j(j+2)
783=j^2+2j
minus783 both sides
0=j^2+2j-783
factor or use quadratic formula
0=(j-27)(j+29)
set to zero
0=j-27
add 27
27=j
0=j+29
minus 29
-29=j
false, cannot be negative age
answer is jeremy is 27 years old
1 1/6 - 2/3
?
Answers
1 and 1/6-2/3
convert 1 and 1/6 to improper
1 and 1/6=1+1/6=6/6+1/6=7/6
make bottom number same
3 times 2=6 so
2/3 times 2/2=4/6
now we have
7/6-4/6=(7-4)/6=3/6=1/2
answer is 1/2