Answer:
Part (a) Vertex = (-3, -1)Part (b) Vertex = (4, 5)Part (c) function 2; max value = 5=====================================================
Explanations:
Part (a)
In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)
If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.
----------------------------
Part (b)
We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.
The given equation is in the form y = ax^2 + bx + c where in this case
a = -2b = 16c = -27The a and b values are plugged into the formula below to get
h = -b/(2a)
h = -16/(2*(-2))
h = -16/(-4)
h = 4
This is the x coordinate the vertex since the vertex is (h,k)
To find k, we plug that value of h into the original function to find its corresponding y value.
y = -2x^2 + 16x - 27
y = -2(4)^2 + 16(4) - 27
y = -2(16) + 16(4) - 27
y = -32 + 64 - 27
y = 5
We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)
----------------------------
Part (c)
We'll compare the y values of each vertex
Function 1 has a vertex of (-3, 1)Function 2 has a vertex of (4, 5)The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.
The max value here is y = 5. In other words, it's the maximum output the function can produce.
If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.
Write an equation that represents the line.
Use exact numbers.
ting sio
Answer:
y = 3/4x + 2
Step-by-step explanation:
By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.
(3/4 = 0.75 if decimal is needed)
Evolution is the changes in organisms over _________
1: a month
2: tens of years
3: thousands of years
4: millions of years
Answer:
4.
Step-by-step explanation:
Answer:
Evolution is the changes in organisms over ____millions of years_____
1: a month
2: tens of years
3: thousands of years
4: millions of years
does anyone understand this?
Answer:
Hello! answer: 80
Step-by-step explanation:
When doing the Pythagorean theorem you do...
a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...
64 × 64 = 4096 48 × 48 = 2304
4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!
Answer:
c = 80 inches
Step-by-step explanation:
The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.
[tex]c = \sqrt{a^{2} + b^{2} }[/tex]
[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]
4q^2 - (qr + 25) if q = 6 and r = 19
The temperature in Elmwood is 5°C. The temperature in Gainesville is 9°C cooler than the temperature in Elmwood. The temperature in Knowlton is 12°C warmer than the temperature in Elmwood. Which equation shows the temperature in °C in Knowlton?
This is for math pls help I need this done
Answer:
its upside down turn it around
Step-by-step explanation:
What is the value of h for the parallelogram at the right?
9.6 units
48 units
26.7 units
96 units
so i have 136 sq units in surface area of a rectangle how do i get 136
plz helps as so you can
Answer:
well you answered the question in your question: you have Area = 136 square units. How you got it, you need to be more specific. Maybe it's because the side lengths are 2 * 68 for example. If anything provide more info. tried to help the best I can
Step-by-step explanation:
Which equation is equivalent to 6 (y+ 3) — 3 (у — 2) = 18?
A) 6у +3 — 3у – 2 = 18
B) 6у +3 + 3y – 2 = 18
C) 6y+ 18 — 3 — 6 = 18
D) 6y+ 18 — 3y + 6 = 18
Answer:
the answer is D
............
Answer:
The answer is (D)
Step-by-step explanation:
[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]
Which of the following rational numbers has the LEAST value? 1/2 55% 6/10 1/3 6/20
Answer:3
Step-by-step explanation:
Nor except
22 is what percent of 900?
I GIVE BRAINLIEST
Answer:
2.44%
Step-by-step explanation:
[tex]\frac{22}{900} *100%[/tex]= 2.44%
If each square on the grid represents 400 miles how many miles would Jacob's family travel in total
Answer:
80miles
Step-by-step explanation:
400=L
L[tex]\sqrt{400[/tex]
=20
to find p
4L
4(20=80
y = 2x + 1 y = 3x - 1
Answer:
i think the answer is B
Step-by-step explanation:
5=6-1
5=5
just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :
2x + 1 = 3x - 1
Add both sides 1
2x + 1 + 1 = 3x - 1 + 1
2x + 2 = 3x
Subtract both sides 2x
2x - 2x + 2 = 3x - 2x
x = 2
( This is the x-coordinate of intersection point )
_________________________________
Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :
y = 2x + 1
y = 2(2) + 1
y = 4 + 1
y = 5
_________________________________
Thus :
intersection point = ( 2 , 5 )
So the correct answer is option B .
A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters.
What is the
volume of the cone?
75.62 cubic cm
713.21 cubic cm
237374 cubic cm
2,571.14 cubic cm
which ordered pair is a solution of the equation
Answer:
A
Step-by-step explanation:
y - 3 = 5(x - 2)
y - 3 = 5x - 10 Add 3 to both sides
y = 5x - 7
Let x = 2
y = 5*2 - 7
y = 3
So (2,3) works
Let x = 3
y = 5*3 - 7
y = 15 -7
y = 8
The answer is A
can somebody please plz tell me the answer to this question or else I will be grounded. the window has the shape of a kite how many square meters of glass were used to make the window
What is the volume of a cone with a diameter of 20 inches and height of 25 inches?
Answer:
7853.98163in³
Step-by-step explanation:
V=
π
d
2
2
h
=
π
20
2
2
25
≈
7853.98163in³
What of the following is NOT a formula for circumference?
a) C=2πr
b) C=πr
c) C=πd
Answer:
The formula for circumfernce is C=pixd D is diameter
Step-by-step explanation:
There are 6 Programmers and 8 Analysts working on a team at CIA. What is the unsimplified ratio of Programmers to Analysts?
Answer: [tex]\dfrac{6}{8}[/tex]
Step-by-step explanation:
Given
There are 6 Programmers and 8 Analysts working on a team at CIA.
Ratio of Programmers to analysts is
[tex]\Rightarrow \dfrac{6}{8}[/tex]
Un-simplified ratio is [tex]\dfrac{6}{8}[/tex]
Simplified ratio is [tex]\dfrac{3}{4}[/tex]
Cherry pies cost $12 each. Apple pies cost $9 each. You sold 20 pies and brought in $198. How many apple pies did you sell? How many cherry pies did you sell?
Answer:
You sold 6 cherry pies and 14 apple pies.
Step-by-step explanation:
It's a system of equations problem.
12C + 9A = 198
A + C = 20
A = 20 - C
12C + 9(20 - C) = 198
12C + 180 - 9C = 198
3C + 180 = 198
3C = 18
C = 6
A + 6 = 20
A = 14
Answer:
Cherry Pie=$12 per 1
Apple pie= $9 per 1
Let x represent number of Cherry Pies sold.
let y represent number of Apple pie sold
x + y = 20---------------1
12x + 9y = 198---------2
From eqn 1
x=20-y
Substitute into eqn 2
12x + 9y = 198
12(20-y) + 9y=198
240 - 12y + 9y = 198
240 - 3y =198
3y = 240 - 198
3y=42
y=14.
x + y =20
x + 14=20
x=20-14
x=6.
So...
Its means that I SOLD 6 CHERRY PIES AND 14 APPLE PIES
A runner runs a distance of 640 metres in a time of 80 seconds.
What is his average speed?
Answer:
8 meters per second
Step-by-step explanation:
We can divide meters by seconds to get his average speed in meters per second. -- 640 m / 80s = 8 m/sec (meters per second). We can also figure out his average speed in minutes by multiplying 8 by 60 (because there are 60 seconds in a minute), 8 * 60 = 480 m/min (meters per minute).
Answer:
8m/s
Step-by-step explanation:
Speed is equal the distance upon time.
640/80
so speed is equal to 8m/s
Select the correct answer from each drop-down menu.
The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are
. The values of p from the set that make 4p − p > 13 true are
.
Answer:
p=1, 2, 3
Step-by-step explanation:
p(4-1)<13
p3<13
p<13/4
p<3.25
p=1, 2, 3
which is the solutions to the system of equations shown { 3x - y = 6 and here is the other equation{ x - 2y = -18
Answer:
(6, 12)
Step-by-step explanation:
{ 3x - y = 6
{ x - 2y = -18
by using elimination:
6x -2y=12
x - 2y= -18
________-
5x = 30
x = 6
y = 18-6 = 12
the solutions = {(6, 12)}
What is the missing number in the synthetic division problem below?
23 -22 4
6 8 20
3 4 ? 24
A. 2.
B. 8
a
C. 10
D. -6
Given:
A synthetic division problem.
To find:
The missing number it in the given synthetic division problem.
Solution:
The given synthetic division problem is:
[tex]3|\overline{3\quad -2\quad 2\quad 4}\\[/tex]
[tex]\quad 6\quad 8\quad 20\\[/tex]
[tex]\overline{3\quad 4\quad ?\quad 24}[/tex]
In synthetic division, we need to add first and second row to get the bottom row.
[tex]3+0=3[/tex]
[tex]-2+6=4[/tex]
[tex]4+20=24[/tex]
Similarly,
[tex]2+8=10[/tex]
Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.
Can someone explain this to me I already know the answer is 50 but how is it 50?
Please help with this and find all 18 missing angles quick
20 points
Answer:
1. 128
2. 136
3. 128
4. 52
5. 44
6. 136
7. 84
8. 96
9. 96
10. 84
11. 128
12. 52
13. 44
14. 136
15. 52
16. 128
17. 136
18. 44
The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games
Answer:
4
Step-by-step explanation:
3+7+2
12
12/3
4
please hurry i need this done asappppp
Answer:
11,25
Step-by-step explanation:
what is the answer to ?+?x?=58
Answer:8+10X5=58 or 3+5x11=58
Step-by-step explanation: hope it help
The following data represents the amount of snow snow that fell in a week.
Daily snowfall
Day
Snowfall (inches)
Sunday
9
Monday
7
Tuesday
6
Wednesday
10
Thursday
3
Friday
4
Saturday
6
The median of the numbers is