The vertex of the function is (2, 28) and the y-intercept of the function is (0, 40)
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the vertex?The equation of the function is given as
y = 3x^2 - 12x + 40
Differentiate the function
So, we have
y' = 6x - 12
Set the function to 0
So, we have
6x - 12 = 0
This gives
6x = 12
Divide by 6
x = 2
Substitute x = 2 in y = 3x^2 - 12x + 40
y = 3 x 2^2 - 12 x 2 + 40
Evaluate
y = 28
This means that the vertex of the function is (2, 28)
Substitute 0 for x to determine the y-intercept
y = 3 x 0^2 - 12 x 0 + 40
Evaluate
y = 40
This means that the y-intercept of the function is (0, 40)
Read more about quadratic equation at
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Solve the simultaneous equations
8x – 3y = 30
3x + y = 7
Use the quadratic formula to solve for x. 5x² + 4x=4 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.
A trail mix has 1/2 cup of raisins and 2/3 cup of peanuts. Witch ingredient has the great amount?
Answer:
Peanuts
Step-by-step explanation:
Answer:
peanuts
Step-by-step explanation:
A 2-gallon bottle of bleach costs $14.24. What is the price per pint?
Answer:
16 divided by 14.24 = 1.12359550562
If you round it would be: $1.12
Answer:
$1.12
Step-by-step explanation:
there are eight pints in a gallon, and since theres two gallons, that mean theres 16 pints. 16 divided by 14.24 is 1.12
Help! This is due today!
Answer:
27π
Step-by-step explanation:
area of circle = πr^2
= π × 6^2
= 36π
36/4
= 9
36 - 9
= 27π units squared
what are the Best odd to play in betting
Answer:
ive never played a bet game all i know is you shouldnt give much due to the fact that u may loose
Step-by-step explanation:
Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 48.8°F, what will be the temperature when the plane reaches an altitude of 8,000 ft?
Answer:
33.6 degrees F
Step-by-step explanation:
8000/1000 = 8
8(1.9) = 15.2 degree drop
48.8 - 15.2 = 33.6 degrees F
Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?
Answer:
$54
Step-by-step explanation:
300 times 0.06 times 3
0.06 times 3 = 0.18
300 times 0.18 = 54
The simple interest is $54
Answer:
$54
Step-by-step explanation:
A = P(1 + rt)
300(1 + (0.06 × 3)) = 354
1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent
Answer:
He loses 100 Rs. during the process of buying and selling.
Step-by-step explanation:
1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.
2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.
3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.
4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.
( Now there are 2 scenarios in this case )
1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.
2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .
( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )
I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.
I hope this helped have a good day!
Answer:
Profit %= 50%
Step-by-step explanation:
Price for 40 bulbs: Rs.800
Price for 1 bulb each: 800/40= Rs 20
Price for 10 bulbs= 10*20=Rs. 200
This means that Rs. 200 were wasted due to 10 bulbs being broken.
The remaining bulbs; 30 are sold at a price of Rs 30 each.....
In reality, the price of the remaining 30 bulbs: 30*20=600
Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900
Profit= SP-CP; Profit= 900- 600= Rs 300
Profit%= 300*100/600= 50%
The table below shows the amount Amelia earned babysitting. Find the rate of change
Answer:
1 : 8
Step-by-step explanation:
Answer:
$8 per hour
Step-by-step explanation:
First you have to do 16/2 or 32/4 to get your answer which is 8
Hope this helps!
3. Classify the number: -4
Answer:
Aight.
Rational, Real, Integer, Negative
Answer:
It is a rational, real, negative number, and an integer.
Hope that helps!
Step-by-step explanation:
this one anyone can help
Answer:
Diagram 1:
a = 54°
b = 54°
Diagram 2:
a = 74°
b = 106°
c = 106°
d = 65°
e = 65°
Step-by-step explanation:
Diagram 1:
a = 54° (alternate angles are equal)
b = a (vertically opposite angles are equal)
a = 54°
Therefore,
b = 54°
Diagram 2:
a = 74° (alternate angles are equal)
a + b = 180 (sum of angles on a straight line)
74 + b = 180
Collect like terms
b = 180 – 74
b = 106°
74 + c = 180 (sum of angles on a straight line)
74 + c = 180
Collect like terms
c = 180 – 74
c = 106°
d = 65° (corresponding angles are equal)
e = d (vertically opposite angles are equal)
d = 65°
Therefore,
e = 65°
i will mark you brainliest once you get the answer correct first!!
Given:
A composed figure of a rectangle, semicircle and another semicircle removed.
To find:
The area of the given figure.
Solution:
From the given figure it is clear that the diameter of semicircle and removed semicircle are same, i.e. 8 cm.
Since the diameter of semicircle are equal, therefore their area is also equal.
The area of the given figure is:
A = Area of the rectangle - Area of removed semi circle + Area of semicircle
A = Area of the rectangle - Area of semicircle + Area of semicircle
A = Area of the rectangle
We know that, the area of a rectangle is
[tex]A=length\times width[/tex]
The length of the rectangle is 14 units and width is 8 units. So, the area of composed figure is
[tex]A=14\times 8[/tex]
[tex]A=112[/tex]
Therefore, the area of the combined figure is 112 sq. units.
AAP4C
Applications of Trigonometry
1. A ladder that is 10 feet long is leaning against a wall at a 71° angle.
a. How far from the wall is the foot of the ladder?
b. How high up the wall does the ladder reach?
Answer:
cosine 71° = distance from wall / 10
A) distance from wall = cosine (71) *10
distance from wall = 3.2557 feet
B) Height up the wall ^2 = 10^2 - 3.2557^2
Height up the wall ^2 = 100 -10.59958
Height up the wall ^2 = 89.40041751
Height up the wall = 9.45518 feet
Step-by-step explanation:
Which of the following answer is equivalent to this expression 8+12x
Answer:
what is the answer choices
Step-by-step explanation:
answer:
4(2+3x)
step-by-step explanation:
4(4+3x)=16+12x
4(x+3x)=16x
3(5+9x)=15+27x
4(2+3x)=8+12x
how to solve 4(2+3x):
4(2+3x)
=(4)(2+3x)
=(4)(2)+(4)(3x)
=8+12x
good luck :)
hopefully, this helps
have a nice day !
A rectangle is 6 centimeters longer than it is wide.
Its length and width are both increased by
4 centimeters.
Answer and Step-by-step explanation:
The length = 6 + w
The width = w
Rectangle when the length and width is increased by 4 centimeters.
length = 10 + w
width = 4 + w
#teamtrees #PAW (Plant And Water)
5 couples want to have their pictures taken. In how many ways can they arrange themselves in a row if couples must stay together
PERMUTATION is my answer...mm
I have no idea what to do. Pls help me
WILL GIVR YOU BRAINLEST PLEASE HELP ASAP!
Lines & and m are intersected by transversal t and e // m.
€
1
5
6
8
By which postulate or theorem is 23* 26?
A. Alternate Exterior Angles Theorem
O
B. Alternate Interior Angles Theorem
o
C. Corresponding Angles Theorem
D. Same-Side Interior Angles Postulate
What year is 7 years after 2003
Answer: 2010
Step-by-step explanation:
2003+7=2010
Find m
A. 110°
B. 70°
C. 250°
D. 55°
Answer:
A:100°
Step-by-step explanation:
BECAUSE IS THE SAME
Is the relation a function?
The relation can be represented by the ordered pairs (2, 1), (3, 4), (5, 19), and (8, 7).
ast week, a coral reef grew 20.4mm taller. How much did it grow in meters
Answer:
0.0204 meters
Step-by-step explanation:
Answer:
0.0204
Step-by-step explanation:
1 metre=1000 metres
x = 20.4
cross mutiply
20.4/1000
0.0204
erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?
Solve the qustion below please
Answer:
angle BNU = 60 degrees
Step-by-step explanation:
3x + 8 = 44
3x = 36
x = 12
5x = 60
Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.
Answer:
96 ft
Step-by-step explanation:
A= bh
A = 12 x 8
A = 96
Answer:
96 ft^2
Step-by-step explanation:
12*8
The volume of this sphere is 15500cm3.
Work out the length of the radius,
r
.
Give your answer rounded to 1 DP
Answer:
r = 15.5
Step-by-step explanation:
4/3 pi r^3 = 15500 cm^3
r^3 = 15500 ÷ (4/3 pi)
r^3 = 3700.35
r = cube root of 3700.35
r = 15.467
r = 15.5
Answer:
4/3 π r³= 15500
r³=15500×3/4×7/22
r≈15.2 cm
Step-by-step explanation:
A tile measures 10cm by 10cm. How many such tiles are required to cover a wall of size 4m and 2.5m?
Pls do NOT spam
Answer:
Step-by-step explanation:
[4m(2.5m)(100^2cm^2/m^2)]/10^2cm^2=1000 tiles
Answer: 1000
Step-by-step explanation:
10xm×10cm=100cm
400cm×250cm=100000cm
100000cm²÷100cm²=1000
How bad is the heavy traffic? You can walk 14
miles in the same time that it takes to travel
35 miles by car. If the car's rate is 6 miles per
hour laster than your walking rate find the
average rate of each.
Answer:
I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.
Step-by-step explanation:
Since I can walk 14 miles in the same time that it takes to travel 35 miles by car, if the car's rate is 6 miles per hour faster than my walking rate, to find the average rate of each the following calculation must be performed:
35 - 14 = 21
21/6 = 3.5
35 / 3.5 = 10
14 / 3.5 = 4
So, I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.
HELLPPPP PLEASE
I WILLL MARK YOU BRILL
Answer:
13
Step-by-step explanation:
71-6=65
65/5=13
therefore the answer is 13
5d + 6 = 71
5d = 71 - 6
5d = 65
d = 65/5
d = 13