Answer:
300 cars must be made to minimize the unit cost
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
The cost of producing x cars is given by:
[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]
So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]
How many cars must be made to minimize the unit cost?
This is the xvalue of the vertex. So
[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]
300 cars must be made to minimize the unit cost
someone please help me with this ASAP!
Answer:
foreal
Step-by-step explanation:
Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is
Answer:
Area is 140 ft2
perimeter is 54 ft
Answer:
54 and 140
Step-by-step explanation:
If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.
The area is 140, because if you multiply 20 by 7, thn you get 140.
Hope that this helps!
The circumference of a circle is 604 cm. What is the diameter of the circle?
Step-by-step explanation:
The Circumference is:
[tex]c = 2\pi \: r[/tex]
Radius r is:
[tex]r = \frac{d}{2} [/tex]
So,
[tex]c = \pi \: d \\ d = \frac{c}{\pi} \\ d = \frac{604}{\pi} \: cm[/tex]
Ron has 24 coins with a total value of $3.00. The coins are nickels (5 cents) and quarters (25 cents). How many of each coin does he have?
Ron has__ nickels and __ quarters.
Answer:
Ron has 15 nickels and 9 quarters
Step-by-step explanation:
Create a system of equations where n is the number of nickels and q is the number of quarters he has:
n + q = 24
0.05n + 0.25q = 3
Solve by elimination by multiplying the top equation by -0.25
-0.25n - 0.25q = -6
0.05n + 0.25q = 3
Add them together and solve for n:
-0.2n = -3
n = 15
So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:
24 - 15
= 9
So, Ron has 15 nickels and 9 quarters.
Plz answer this I will give brainliest
Answer:
C
Step-by-step explanation:
A=6a²=6·6.5²=253.5
whats the solution to -12x ≤ -72
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex] - 12x \leqslant - 72 \\ x \geqslant \frac{ - 72}{ - 12} \\ x \geqslant 6[/tex]
The direction changes when we divide by nagative value
I hope that is useful for you :)
What is the volume of the square pyramid, in cubic inches?
PLS AWNSER I WILL GIVE BRAILIEST
suzy will be walking around the circumfernnce of the fountain
circumfernce= [tex]2\pi r[/tex]
r is half of the diameter so it will be 5
[tex]2\pi (5)=31.4[/tex]
as she walks around it 3 times it will be
[tex]31.4 *3 = 94.2 feet[/tex]
so the answer is H. 94.2 feet
please mark as brainliest
Carissa recently retired, and has $540,000 in savings. She wants to invest as much as possible in a safe CD account paying 1.2% interest, and as little as possible in a riskier bond paying 4.7% interest. She needs to earn $14,880 a year in interest to cover expenses above SSI. How much should she invest in each account?
Answer:
Don't awnser the bots
Step-by-step explanation:
They will try ro scam you
calcula b para que la recta 2x + by = - 11 pase por el punto (-2, 5)
Answer:
i dont kown sorry i hope i helped :)
Step-by-step explanation:
jsqfwfnkewrrbnrjbhrwob
Use the equation to answer the question . x + 9 + 2x = 3x + 11 How many solutions does the equation have? ОА. Ano solutions O solution c two solutions O infinitely many solutions
Answer:
No solution
Step-by-step explanation:
Add x and 2x.
3x+9=3x+11
Move all terms containing x to the left side of the equation.
Subtract 3x from both sides of the equation.
3x+9−3x=11
Combine the opposite terms in
3x+9−3x.
Subtract 3x from 3x.
0+9=11
Add 0 and 9.
9=11
Since 9≠11, there are no solutions.
Hope it is helpful....Answer:
Answer:
No solution
Step-by-step explanation:
Add x and 2x.
3x+9=3x+11
Move all terms containing x to the left side of the equation.
Subtract 3x from both sides of the equation.
3x+9−3x=11
Combine the opposite terms in
3x+9−3x.
Subtract 3x from 3x.
0+9=11
Add 0 and 9.
9=11
Since 9≠11, there are no solutions.
Hope it is helpful....
diavinad8 and 7 more users found this answer helpful
THANKS
5
5.0
(2 votes)
56
Step-by-step explanation:
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i am pro
Can someone please help me with Systems of Equation. If so please comment here and friend me at fmilluzionz#1521. I am in 8th grade math
Answer:
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.
Step-by-step explanation:
what is solution to
12²-5²
Answer:
119.
Step-by-step explanation:
12x12 is 144
5x5 is 25
144-25 = 119
The jeweler has a stock of alloys that are 25% gold, 50% gold, and 82% gold. Choose 2 different alloys that can be used to create an alloy that is 75% gold. Explain why you chose these alloys.
PLEASE HELPPO?!!!! Look at the attachment below
Answer:
157
Step-by-step explanation:
just trust me bro
please help me with this
Answer:
its 18
Step-by-step explanation:
6x3=18
Cassandra reads 28 pages of a book in 1 1/6 hours. Express her reading speed in pages per hour?
Answer:
0.24 pages per hour
Step-by-step explanation:
To solve this you have to divide total pages by the hours to get the speed per hour. Here is the equation;
28 / 116 = 0.2413793103448276
Hope this helps!
Which statement is true about the relationship between the height of the plant and the number of days? This relationship is a function because the plant can only be one height at a time. This relationship is not a function because the plant can only be one height at a time. This relationship is a function because the plant can be more than one height at a time. This relationship is not a function because the plant can be more than one height at a time.
Answer:
This relationship is a function because the plant can only be one height at a time.
Step-by-step explanation:
Functions occur when the recorded x-value is varied each time. Since the height of the plant (the x-value) varies each day, it is a function.
Find the circumference of the circle. Round to the nearest hundredth.
The functions f(x) and g(x) are graphed.
Which represents where f(x) = g(x)?
f(2) = g(2) and f(0) = g(0)
O f(2) = g(0) and f(0) = g(4)
O f(2) = g(0) and f(4) = g(2)
O f(2) = g(4) and f(1) = g(1)
96X
3
24
1+
-6-5-4-3-2-14+ 1 43 4 5 6 x
-2+
-3+
4+
5
PLEASE HELP I NEED THIS TO GET MY GRADE UP
Answer:
[tex]y = 4.5x[/tex]
Step-by-step explanation:
Given
The attached table
Required
The table equation
The table shows a linear relationship.
So, we calculate the slope (m) first
Using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) =(2,9)[/tex]
[tex](x_2,y_2) =(6,27)[/tex]
So, we have:
[tex]m = \frac{27 - 9}{6 - 2}[/tex]
[tex]m = \frac{18}{4}[/tex]
[tex]m = 4.5[/tex]
Next, the equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 4.5(x - 2) + 9[/tex]
Open bracket
[tex]y = 4.5x - 9 + 9[/tex]
[tex]y = 4.5x[/tex]
what does 7 x 3/4 equal?
Answer:
21/4
Step-by-step explanation:
Answer:
5.25
Step-by-step explanation:
21/4 that's it. ..........
Determine whether the series -3 + 9 - 27+ .... is convergent or divergent.
Answer:
divergent
Step-by-step explanation:
just took it
In the school band, 8/24 of the members play the trumpet. In simplest form, what fraction of the band plays the trumpet?
Will give brainliest for correct answer
Answer:
The first picture on the second page
Step-by-step explanation:
The first picture on the second page would be the answer because it gives exactly one input for each output. It also passes the vertical line test because no point throughout the line creates a vertical line.
Please help I’ll mark you as brainliest if correct!
Answer:
The wright answer is 16.33 inches
how might the area of a room affect the way the room is used?
Answer:
The more area a room has the more things you can put in it
Step-by-step explanation:
Joyce packed lunches for the Shiloh Football Team. If she packed 75 pounds of bagged lunches. Each bag weighed 1 1/2 pounds. How many lunches did she pack?
50
60
70
80
WILL GIVE BRANLIEST
Answer:
50
Step-by-step explanation:
total weight=75 pounds
each bag weighed 1 1/2 pound=3/2 pound
no. of lunches=total weight/weight of each lunch
=75/(3/2)
=75*2/3
=50lunches
Answer:
50
Step-by-step explanation:
You need to divide 75 lb by 1 1/2 lb.
[tex] 75 \div 1 \frac{1}{2} = 75 \div \dfrac{3}{2} = \dfrac{75}{1} \times \dfrac{2}{3} = \dfrac{150}{3} = 50 [/tex]
Answer: 50
Don uses a funnel to pour oil into his car engine. The funnel has a radius of 6 cm and a slant height of 10 cm. How much oil, to the nearest cubic centimeter, will the funnel hold.
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water and the water rises 3.4 cm. Find the volume of the stone.
Please and thank you!
Answer:
1356cm3
Step-by-step explanation:
when the stone is dropped in to the water the new height is 17.4cm(14+3.4)
find the volume when the height is 14cm and when the height is 17.4cm
24*14*17.4=4716
24*14*14=3360
then subtract the two volumes
4716-3360=1356cm3
Answer:
816 cm^3
Step-by-step explanation:
First you want to find the volume of the container with the stone, and then without the stone.
The formula for finding the volume of a rectangular container is V= l x w x h
We substitue in:
With stone:
V= 24cm x 10 cm x (14+3.4 cm)
V= 4,176 cm^3
Without stone:
V= 24 cm x 10 cm x 14 cm
V= 3,360 cm^3
Then, you want to subtract the two volumes to get the stone by itself.
4,176 - 3,360= 816 cm^3
Hope this helps!
PS- I think the answer above me got their numbers mixed up, but they had the right idea.
