Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500Find the linear equation whose graph is the straight line with the given properties through ( 1,-8) and (-1,-1)
The equation of a line for the given coordinates is 7x+2y+9=0.
The given coordinates are (1, -8) and (-1, -1).
We need to find the linear equation whose graph is a straight line.
What is the slope of a line?The slope of a line is defined as the change in the y coordinate with respect to the change in the x coordinate of that line. The slope of a line=m=(y2-y1)/(x2-x1).
Now, slope of the line=(-1-(-8))/(-1-2)
=7/(-2)
=-7/2
Now, put m=-7/2 and (-1, -1) in the equation y=mx+c.
So, -1=(-7/2)(-1)+c
⇒-1-7/2=c
⇒c=-9/2
Then the equation of the line=y=-7x/2-9/2
⇒2y=-7x-9
⇒7x+2y+9=0
Therefore, the equation of a line for the given coordinates is 7x+2y+9=0.
To learn more about the slope visit:
https://brainly.com/question/2491620.
#SPJ2
What is the scale factor of the transformation?
Image is above!
Answer:
2x
Step-by-step explanation:
If you double all the distances of the BLACK shape, it becomes the BLUE shape.
Answer:
2
Step-by-step explanation:
I need help with these questions ♂️ please ?
cba
Step-by-step explanation:
first first one to see second one is b last one is a
You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount (This is not multiple choice, you need to do a, b, and c)
a. $250
b. $300
c. $350
** Round to the NEAREST whole number**
Liz earns a salary of $2,300 per month, plus a commission of 4% of her sales. She wants to earn at least $2,800 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal. The inequality that represents the situation is + s (select) . s = (select)
Answer:
2,300 + 0.04 ≥ 2,800
Step-by-step explanation:
what are the factors of 6 that have a sum of 7
Answer:
[tex]factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer[/tex]
Answer:
I believe your answer is 6 and 1 because 6x1=66+1=7
Step-by-step explanation:
May I pls have a brainley
how do I solve the value of the n
If the surface areas of two spheres are in ratio 16:9, then their volumes will be in the ratio
Answer:
64 : 27
Step-by-step explanation:
If linear ratio is a : b , then
area ratio = a² : b²
volume ratio = a³ : b³
Given area ratio = 16 : 9 , then
linear ratio = [tex]\sqrt{16}[/tex] : [tex]\sqrt{9}[/tex] = 4 : 3
volume ratio = 4³ : 3³ = 64 : 27
The sweatshirt is $52. What is the 9% sales tax?
Jacobo borrows 500 from Abraham and agrees to have the loan compounded
annually for 5 years with an interest rate of 2.5% How much will the total amount be that Jacob owes?
Answer: 565.70
Step-by-step explanation:
A consultant for a major computer company receives $3250 per month as a fee no matter how many hours he works. Using x to represent the number of hours the consultant works each month, write a function, f, in symbolic form to represent the total amount the consultant recieves each month.
Answer:
The function is;
f(x) = $3,250
Step-by-step explanation:
The fixed amount the consultant receives each month = $3,250
The number of hours the consultant works each month = x
Let f(x) represent the function of the total amount the consultant receives each month
Therefore;
The function f(x) = The total amount the consultant receives each month = The fixed amount the consultant receives = $3,250
∴ f(x) = $3,250.
The function 'f' which represents the total amount the consultant receives each month is f(x) = $3,250 (Given that the consultant receives a constant amount each month).
craig hiked for 7/10 mile and stopped to take pictures.Then her hiked for another 25/100 mile. How far did he hike in all
Answer:
The answer is 95/100 miles and simplified is 19/20 miles.
Step-by-step explanation:
A box containing oranges weighs 60kg. The empty box weighs 7.5kg. If the average weight of an
orange is 75g, how many oranges are there in the box?
Answer: 700 oranges
Step-by-step explanation: mass of box is reduced first.
Mass of oranges is 60 kg -7.5 kg = 52.5 kg
Mass or oranges is divided by mass of one orange 75 g = 0.075 kg.
52.5 kg/0.075 kg= 700
A list is made of all possible 2-digit whole numbers that result from using only the digits 1,3,5, and 7 in both the
ones and tens place, with duplications allowed. How many whole numbers in the list are prime numbers?
A.6
B.7
C.8
D.9
E.10
Answer:
b7 and e10
for brainly
Solving systems of equations using the substitution method 2x+4y=34
Answer:
the answer is x=-2y+17
Step-by-step explanation:
Answer:
Here ya go! Hope it helps.
Step-by-step explanation:
A student earned grades of 78, 72, 74, and 88 on her four regular tests. She earned a grade of 79 on the final exam and 88 on her class projects. Her combined homework grade was 89. The four regular
tests count for 40% of the final grade, the final exam counts for 20%, the project counts for 10%, and homework counts for 30% What is her weighted mean grade? Round to one decimal place.
O A. 82.5
OB. 71.0
O C. 63.6
OD. 81.5
Answer:
A: 82.5
Step-by-step explanation:
Average score of the 4 regular tests = (78 + 72 + 74 + 88)/4 = 78
We are told;
- the regular tests account for 40% of the final grade.
- final exam counts for 20%
- project counts for 10%
- homework counts for 30%
Thus;
weighted mean grade = (40% × 78) + (20% × 79) + (10% × 88) + (30% × 89) = 82.5
i rlly need help with this somebody i will give brainlist
Answer:
the answer is 10
Step-by-step explanation:
I just puted value and calculated it's simple
Find the inverse for the following function.
f(x) = 2x^2 + 20x +47
Hi! Please explain how you got the answer, thanks! :))
Answer:
2000
Step-by-step explanation:
1996: 30+5 5×6=30
2000: 60+10 10×6=60
Choose Yes or No to tell whether the pairs of angles are congruent.
1. Alternate interior angles (Yes or No)
2. Corresponding angles
(Yes or No)
3. Same-side interior angles
(Yes or no)
plz help and pls dont give me no website pls
Answer:
x=7
Step-by-step explanation:
In a parallelogram, you know that parallel sides are equal in length, therefore, x+4 must equal 5x-24. From there you solve for x.
x+4 = 5x-24
28 = 4x (subtract x from both sides and add 24 to both sides)
7=x (28 divided by 4 is 7).
Answer:
Here you go, please mark brainliest for my effort! Thanks!
Step-by-step explanation:
5x - 24 and x + 4 are equal in length, so set them equal to each other.
5x - 24 = x + 4
Subtract x on both sides.
4x - 24 = 4
Now, add 24 to both sides.
4x = 28
Finally, divide both sides by 4.
x = 7
So the answer is x = 7
Don't forget to mark brainliest!
what is the area of the white boarder? 2cm 8cm 9cm 15cm
do you have a picture of the border?
Answer: ya do you have picture
Step-by-step explanation:
What is 2 (log Subscript 3 Baseline 8 + log Subscript 3 Baseline z) minus log Subscript 3 Baseline (3 Superscript 4 Baseline minus 7 squared) written as a single logarithm?
log Subscript 3 Baseline 2 z
log Subscript 3 Baseline 2 z squared
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
log Subscript 3 Baseline StartStartFraction 64 z squared Over StartFraction 81 OverOver 49 EndEndFraction
Answer:
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
Step-by-step explanation:
The single logarithmic form f the expression is [tex]log_3(\frac{9(64z^2)}{81} )[/tex]
Logarithm and indicesGiven the logarithmic expression;
[tex]2(log_38+log_3z)-log_3(3^4-7^2)[/tex]
We are to write it as a single logarithm
Using the product and quotient law of logarithm;
[tex]2(log_38+log_3z)-log_3(3^4-7^2)\\=2(log_38+log_3z)-log_3(\frac{81}{49} )\\=2(log_38z)-log(\frac{81}{9})\\=log_364z^2-log(\frac{81}{9})[/tex]
Simplify the final result to have:
[tex]=log_364z^2-log(\frac{81}{9})\\=log_3(\frac{9(64z^2)}{81} )[/tex]
Hence the single logarithmic form f the expression is [tex]log_3(\frac{9(64z^2)}{81} )[/tex]
Learn more on logarithm here: https://brainly.com/question/25710806
Is the relationship linear, exponential, or neither ?
Answer:
Linear
Step-by-step explanation:
Answer:
Linear, there is a constant rate of change
Step-by-step explanation:
about pythagorean theorem, really need help!
A: third one
B: second one
C: second one
D: second one
The table represents some points on the graph of a linear function.
Х
-1
5
7
11
у
6
3
2.
o
What is the rate of change of y with respect to x for this function?
2
O
2
-2
Answer:
should i provide formula
what is the slope and y-intercept? write the equation. this is finally the last problem on my homework
(y2-y1)/(x2-x1)
3-2=1
4-2=2
slope: 1/2
y-int: 1
y=1/2x+1
Answer:
Slope=1/2, y-intercept=(0,1)
Step-by-step explanation:
Slope is written in the format of Y/X. If you look at the pattern, you'll notice that every time Y goes up 1, X goes up 2.
So, 1/2.
The y-intercept is where the line crosses the y-axis and is therefore when X is equal to 0. Following the pattern, this would be when Y is equal to 1.
(0,1)
How do I make the graph or if anyone makes the graph for me WILL GET BRAINLIEST.
SYSTEMS OF EQUATIONS)
Answer:
Part A
The required inequality is;
y = 50 - 2 × x ≥ 20
Please find attached the graph of the inequality created with Microsoft Excel
Part B
The number of weeks she can withdraw is less than or equal to 15 weeks
Step-by-step explanation:
The given parameters are;
The amount Kate has in her savings account at the beginning of the summer = $50
The least amount she wants to have in the account at the end of the summer = $20
The amount she withdraws each weak from the account = $2
Part A
Let 'x' represent the number of weeks she can withdraw money, we have;
The required inequality that gives the number of weeks she can withdraw money is given as follows
y = 50 - 2 × x
y ≥ 20
Therefore, the inequality is;
y = 50 - 2 × x ≥ 20
The graph of the inequality created with Microsoft Excel is attached
Part B
The number of 'x' weeks she can withdraw is;
50 - 2 × x ≥ 20
- 2 × x ≥ 20 - 50 = -30
x ≤ -30/(-2) = 15
The number of weeks she can withdraw is x ≤ 15 weeks.
HELP. No bots allowed.
Answer:
June, Mitchell and Nick are the ones who drew the line of symmetry correctly because if you were to cut that in half, both sides remain the same shape and size. Stephanie, Liz, and Brandon are wrong because if you cut that you get different shapes and sizes, they will not be identical.
Answer:
June did
Step-by-step explanation:
Symmetry is when both side are the EXACT SAME!!! June is the only one who has done it correctly
Determine the value of k so that the following system has an infinite number of solutions. *
10x+ky=-8
-15x+6y=12
Answer:
I don't know sorry
Step-by-step explanation:
bbc ok g
