We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]
Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.
To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:
[tex]g'(x)=-8x+4[/tex]
To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have
[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]
So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.
[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]
Therefore, the maximum point [tex]M[/tex] of the function is
[tex]\boxed{M=(0.5,-1)}[/tex]
Glad to help! Wish you great studies.
If you found this helpful consider giving this answer brainliest ;)
plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.
Answer:
A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
Step-by-step explanation:
Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car
Answer:
8000
Step-by-step explanation:
10000 x 20% = 2000
10000-2000= 8000
Which situation best represents the equation below? 324-90x=250 A. Jamal has $324 in his bank account. He makes a payment to his gym every month. If he has payed his gym memeber ship for 5 months, how much is his gym membership per month if he now inly has $250? B. Sergios's parents deposit $90 every week to his checking account. If he started with $324, in how many weeks will Serigo checking account have $250? C. David spent $90 for a shirt and pants. If he only had $324, how much money will be left in his bank account? D. John has $324 in his bank account. He withdraws $90 each week. After how many weeks will he have $250 in his bank account?
Answer:
D
Step-by-step explanation:
324 - 90x = 250
John starts with $325, and withdraws (takes out) $90 each week (x represents number of weeks).
A bakery offers a sale price of $2.85 for 6 muffins. What is the price per dozen?
Answer:
2.85 x 2 is equal to 5.7 so that should be the answer
Step-by-step explanation:
Did it on calculator sorry if wrong lol
Answer:
$5.70
Step-by-step explanation:
6 muffins is half a dozen, so double $2.85 and you get $5.70.
A local restaurant only sells burgers and cokes. 3 burgers and 5 comes cost $17, while 6 burgers and 9 cokes cost $33. What’s the price of a burger?
Answer:
The price of a burger is $4 and that of cone is $1.
Step-by-step explanation:
Let the cost of burger is x and that of cone is y.
ATQ,
3x+5y = 17 ....(1)
And
6x + 9y = 33 ...(2)
Multiply equation (1) by 2.
6x + 10 y = 34 ...(3)
Subtract equation (2) from (3)
6x + 10 y-(6x + 9y) = 34 - 33
6x + 10 y-6x- 9y = 1
y = 1
Put the value of y in equation (1)
3x+5 = 17
3x = 12
x = 4
So, the price of a burger is $4 and that of the cone is $1.
generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x=−6 f(x) has a local minimum at x=−3 f(x) has a local maximum at x=3
Answer:
HURRYYYY PLEASE HELP ME T-T
Step-by-step explanation:
https://brainly.com/question/19692618
Can someone please help mee fast!!
Step-by-step explanation:
insta I'd :- itz_anurag_r
anyone msg me on insta plzzz I'm bored at home ❤️
If Moore Motors buys at cost a truck for $4,000 and plans to sell it for $6,000, the percent markup on cost is:
Answer: 50%
Step-by-step explanation:
(6000-4000)/4000= 2000/4000
=2/4=1/2
(1/2)100=50
hellllllllllllllllllllllllllp me plzzzzz
D. 7 miles
Step-by-step explanation:
26.5/4 =6.62
So the best estimate is 7 miles
A bus driver drives 147 miles on her route each day. She drove the bus 23 days last month. How many miles did the bus driver drive the bus last month?
A: 3,381
B: 3,161
C: 2,381
D: 2,161
Answer:
Step-by-step explanation:
147 x 23 = 3381
=>
Answer:
B: 3381
Step-by-step explanation:
147 X 23 = 3,381. if she drove 147 miles for 23 days that's 3381 miles in one month
Need help id appreciate it
Answer:
x=14
Step-by-step explanation:
If the square from GAI are 6 cm, then the other half of the triangle is also 6 inches long. Because it is not an even sided triangle, all the sides shouldnt be the same size. If you multiply 6 by 2 you get 12. 7 times 6 is 42. 42 divided by 3 is 14. The value of X should be 14.
Lauren broght cupcakes for class of 24 students including herself. Each person received 1 cupcakes. Cupcakes come in pack of 7
Answer:
4 Packs
Step-by-step explanation: 24 put into groups of 7: there will be 3 full groups (three groups of seven) and one group will have only three in it. Therefore, 4 packs will be emptied. Hope this helps you !
Determine the value of x.
Question 8 options:
A)
2.2
B)
4.4
C)
2
D)
8.8
Answer:
The answer is: B) 4.4
Step-by-step explanation:
Which set of number includes only intergers
Answer:
{-10, -7, 0, 98, 145}
Step-by-step explanation:
An integer is whole numbers and their opposites, doesn't have to be written as a fraction.
{-3, 0, 5/6, 5, 45} 5/6 is not an integer{-9, -3, 0, 5.7, 7.8} 5.7 and 7.8 are not an integer{-3, -2 4/5, 5, 7, 53} 2 4/5 is not an integer{-10, -7, 0, 98, 145} all are integers.GIVEAWAY TO GET 100 POINTS + BRIANLIEST IF YOU ANSWER WHATS 9+10 B)
Answer:
uhhh 21
Step-by-step explanation:
19
McDonalds sold 7 boxes of chicken nuggets for $25.90 Burger King sold 3 boxes of chicken fingers for $11.07. Which food item has a higher unit price? (1 Point McDonalds O Burger King.
Answer:
burger king
Step-by-step explanation:
math
I need help ASAP I’ll mark you brainliest if you help pls
Answer:
1 hour sorry if wrong
Step-by-step explanation:
Surface area of 9cm, 10cm, and 15cm
Answer: The answer is 750 cm
Please help me out quickly
Answer:
I dont see the stuff I think my internet is slow but I will help you when its up again im using hotspot just remind me
Step-by-step explanation:
If f(x)=x²-16 is continuous at x = -4, find f(-4).
Answer:
0
Step-by-step explanation:
f(-4) means x = -4 so then plug -4 into the function.
y = -4²-16
y = 0
Answer:
f(-4) =0
Step-by-step explanation:
f(x)=x²-16
Let x = -4
f(-4) = (-4)^2 -16
= 16-16
= 0
Which of these functions are linear?
Choose all that apply.
Ay+ 4 = 2x
By=3-x?
с
X
0
1
2
3
4
у
-1
-0.5
o
-0.5
-1
D
X
-2
2.5
wlo
1
3.25
2
3.5
у
2.75
E
-51
-2
2
F
solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12
Answer: x =3; y = -2
[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]
Step-by-step explanation:
Answer:
x = 3, y = -2.
Step-by-step explanation:
5x + 6y = 3
2x - 3y = 12 Multiply this by 2:
4x - 6y = 24 Now add this to the first equation:
9x = 27
x = 3.
Substitute x = 3 in the second equation:
2(3) - 3y = 12
-3y = 12 - 6 = 6
y = 6 / -3
y = -2.
Did the scale factor of 0.75 enlarge reduce or stay the same?
Answer:
[tex]\huge\boxed{\sf Reduces}[/tex]
Step-by-step explanation:
Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.
Thus the scale factor of 0.75 reduces the dilated image.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
-it reduces-
Step-by-step explanation:
good luck:)
(x + 1)^2 -8 (x-1 +16)
Answer: x2−6x−119
Step-by-step explanation:
provided in the screenshot below
what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?
Answer:
8075.
Step-by-step explanation:
Volume of the prism
= 12 1/2 * 8 1/2 * 9 1/2
= 25/2 * 17 / 2 * 19/2
= 8075/8 cm^3
The volume of the small cubes = (1/2)^3 = 1/8 cm^3
So the number required = 8075 / 8 / 1/8
= 8075*8 / 8
= 8075.
A recipe for fruit punch requires 5 cups of pineapple juice and 8 cups of ginger ale. Find the amounts of pineapple juice and ginger ale that must be used to produce different amounts of this punch.
Answer:
answer below
Step-by-step explanation:
simply multiply by different numbers so...
5/8 x 2 = 10/16
5/8 x 3 = 15/24
and so on; as long as it can reduce to 5/8, it works!
No I never lied hahahah
Answer:
liar
Step-by-step explanation:
Which one of these transformations move by sliding in any direction?
A.Translation
B.Rotation
C.Reflection
D.Dilation
Answer:
D. Dilation, sorry if i'm wrong ;)
Step-by-step explanation:
What is the value of b in the triangle shown below?
a.-4in
b.4in
c.+4in
d.no solution
if the probability of picking a pink jelly bean out of a bag is 4/15, what is the probability of not picking a pink jelly bean
Answer:
The probability of not picking a pink jelly bean: 11/15
Step-by-step explanation:
As we know that the maximum value of the probability of an event would always be 1.
The reason is that '1' is certain that something would happen.Given that the probability of picking a pink jelly bean out of a bag is 4/15.
Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.
i.e.
Probability of not picking a pink jelly bean = max probability - 4/15
= 1 - 4/15
= 11/15
Therefore, the probability of not picking a pink jelly bean: 11/15