Answer:
[tex]f(x)=0.5x^2-4x+7.5[/tex]
Step-by-step explanation:
The general form of a quadratic function is:
[tex]y=ax^2+bx+c[/tex]
We'll find the general form of the function:
[tex]f(x)=0.5(x-3)(x-5)[/tex]
Multiplying the expressions in parentheses:
[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]
Simplifying:
[tex]f(x)=0.5(x^2-8x+15)[/tex]
Operating:
[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]
How many 9 digit numbers have their first and last digits even?
There are 900000000 nine-digits numbers and exactly half of them have an even sum of digits (because every number can be paired with another of the opposite parity by changing the last digit).
Answer: 200,000,000.
we have 9 spaces we need to fill in
There are 10 total numbers(0–9)
There are 5 even numbers(0,2,4,6,8)
fill from left to right
u cannot start with 0 so pick another number 2,4,6,8 any of those
4*10^7*5= 20*10^7 = 2*10^8
200,000,000.
what is 852,442 rounded to the nearest thousand?
Answer:
852,000
Step-by-step explanation:
A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $14,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). $ V(x) = 0.000001x^3 - 0.01x^2 + 50x $ The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). $ R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500) $ (a) Find the total cost function C. What is the profit for the company if 2,600 units are produced and sold each week?
Answer:
P=$-303,424Step-by-step explanation:
given data
fixed cost= $14,000
variable cost function
[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]
revenue function
[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]
a. we know that total cost C=fixed cost plus variable cost
C=14000+0.000001x^3 - 0.01x^2 + 50x
[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]
profit is given as revenue minus the total cost
P=R(x)-C (x=2600)
[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]
substitute x=2600
[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]
[tex]P=-135200+390000-(1400+17576-67600)[/tex]
[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]
As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.
Answer:
15
Step-by-step explanation:
24*5=120 / 8 = 15
15 is answer.
Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6 What is the x-intercept of the graph of this function?
Answer:
-2.1
Step-by-step explanation:
The y-intercept will be (0, 12.6) if Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The linear function is:
f(x) = 6x + 12.6
To find the y-intercept plug x = 0
f(0) = 0 + 12.6
f(0) = 12.6
Thus, the y-intercept will be (0, 12.6) if Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6.
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Divide:
285 divided by 45
Which is true about this division problem? Select all that apply.
45 goes into 285 evenly.
45 does not go into 285 evenly.
The quotient contains a repeating decimal.
The quotient contains a terminating decimal.
The quotient is 6.ModifyingAbove 3 with bar.
The quotient is 6.3.
Answer:
Step-by-step explanation:
The true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
Here,
To divide 285 by 45, we perform the division:
6
-------
45 | 285
- 270
-------
15
The quotient is 6 with a remainder of 15.
Now, let's analyze the statements:
45 goes into 285 evenly. - False.
45 does not divide 285 evenly since there is a remainder of 15.
45 does not go into 285 evenly. - True.
As explained above, 45 does not divide 285 evenly, and there is a remainder of 15.
The quotient contains a repeating decimal. - False.
There is no repeating decimal in the quotient since the division is a whole number (6).
The quotient contains a terminating decimal. - False.
As mentioned earlier, there are no decimals involved in the quotient; it's a whole number.
The quotient is 6 with a bar above 3. - False.
The quotient is 6 with a remainder of 15, not 6.3.
In summary, the true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
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-59 = m - 11, m = ? i dont know the answer
Answer:
m = -48
Step-by-step explanation:
m - 11 = -59 (add 11 on both sides)
m = -48
Hope this helps!!
Answer:
m = -48
Step-by-step explanation:
m - 11 = -59
you add the 11 to both sides crossing it out from the left side and then you get an equation that looks like this.
m = -59 + 11
Now you can just solve it like a simple subtraction problem, -59 + 11 = -48
Hope I was able to help :)
find 2 consecutive integers whose sum is -97
Answer:
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
Step-by-step explanation:
Let the first integer: [tex]x[/tex]
As we are looking for a consecutive integer, so
The second integer would be: [tex]x+1[/tex]
We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.
[tex]x+\left(x+1\right)=-97[/tex]
[tex]x+x+1=-97[/tex]
[tex]2x+1=-97[/tex]
[tex]2x=-98[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-98}{2}[/tex]
[tex]x=-49[/tex]
Therefore,
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
No texto Nascimento do Queijo,qual das crianças criou a teoria mais distante da realidade?
Answer:
ejre' fe trerxto fno
Step-by-step explanation:
Please help ASAP! Due tonight!
Answer:
D. x = √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASTrigonometry
Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
leg a = 4
leg b = 1
hypotenuse c = x
Step 2: Solve for x
Substitute: 4² + 1² = x²Exponents: 16 + 1 = x²Add: 17 = x²Isolate x: √17 = xRewrite: x = √17At the beginning of spring, Jeremiah planted a small sunflower in his backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week. How tall would the sunflower be after 10 weeks? How tall would the sunflower be after ww weeks?
Answer:
a) How tall would the sunflower be after 10 weeks?
35 inches tall
Step-by-step explanation:
At the beginning of spring, Jeremiah planted a small sunflower in his backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week.
If the rate:
1 week = 2 inches
10 weeks = x inches
x = 10 × 2/1
x = 20 inches
How tall would the sunflower be after 10 weeks?
The initial height = 15 Inches
The height after 10 weeks =
15 inches + 20 inches
= 35 inches
I need help please anyone can help me !!!!
Answer:
5.15
Step-by-step explanation:
I hope this helps have a great day
If 3x + 6 = 213x plus 6 equals 21, what does x + 2x plus 2 equal?
Answer:
17
Step-by-step explanation:
PLS GIVE BRAINLIEST
Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.
1. When one-half of a number is subtracted
from its thrice, it gives 2500. Find the
number.
Answer:
let the number be x
thrice of the number=3x
one-half of the number=(1/2)x
so from the expression we:
3x-x/2=2500
(6x-x)/2=2500
6x-x=2*2500
5x=5000
x=5000/5
x=1000
Original price: $72.00
Markdown: 33% please i rlly need help thanks mate
Answer:
$48.24
Step-by-step explanation:
33% of 72 = 23.76
72 - 23.76 = 48.24
5. Using commutativity and associativity of addition of rational numbers, express each<br />of the following as a rational number. <br />1. 2/5 +7/3+-4/5 +-1/3<br />2. 3/7+-4/9+-11 /7 +7/9<br />3. 2/5+8/3+-11 /15+4/5+-2/3<br />4. 4/7+0+-8/9-13/7+17/21<br /><br /><br /><br />So important please tell me fast.
Answer:
[tex] \LARGE{ \underline{\underline{ \pink{ \bf{The \: AnsWer:}}}}}[/tex]
Composition and Structure of the Oceans. Planet Earth has been called the "Blue Planet" due to the abundant water on its surface. Here on Earth, we take liquid water for granted; after all, our bodies are mostly made of water.
POINTS plus will mark BRAINLIEST for the correct answer
Answer:
I believe the answer is 9
Step-by-step explanation:
The most balloons she has is 180 and she can make 20 animals with that so 180/20=9
What’s the answer to this please, thanks!
Answer:
8 < x < 16
Step-by-step explanation:
Consider an angle slightly less than 180 between the 4 and 12 ft sides. The measure between the 2 end points is slightly less than the total of the two sides. So the greatest length is 16.
Consider an angle slightly more than 0 between the 4 and 12 ft sides. The measure between the 2 end points is slightly more than the difference between the two sides. So the lowest length is 8.
I will give lots of points for this or.2
Answer:
Step-by-step explanation:
10+banna x orange
Answer:
Apple=10. Banana=6. Orange=6.
Step-by-step explanation:
select the correct answer.
simplify the following expression.
(1/7x +3/8) +(2/8x - 1/8)
A. -5/63x +1/2
B.23/63x +1/2
C.3/16x + 1/4
D.23/63x + 1/4
What is the same as 1.5 in a fraction
Answer:
the answers is 3 over 2 in fraction form
Answer:
1 1/2 or 3/2
Steps:
As we know .5 = 1/2
If we take one the 1 out of 1.5 we can use it to connect 1 and 1/2
jack needs 22 pirates for every 2 ships he manages
Chloe drives from her house to her Grandma's house 48 miles away in an hour and 12 minutes. How far could she travel in 9 minutes?
a.12 miles
b.6 miles
c.8 miles
d.24 miles
Answer:
B. 6 miles
Step-by-step explanation:
first you convert the hour and 12 minutes into only minutes
72 minutes
then you set up in a fraction
48/72 = x/9
then solve for x, if you use a calculator it will give you 6
I need help with math it easy but im a lil slow so help
Answer:
22.5 is your answer
Step-by-step explanation:
The polygons below are similar. Find the scale factor of the SMALLER figure to the LARGER.
A. 5:6
B. 3:5
C. 5:8
D. 2:5
Answer:
A. 5:6
Step-by-step explanation:
The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.
Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.
Therefore:
Scale factor = 25:30
Simplify
Scale factor of the smaller figure to the larger = 5:6
Solve similar triangles (advanced)
Answer:
x = 24Step-by-step explanation:
6 = x
8 x + 8
8x = 6x + 48
8x - 6x = 48
2x = 48
x = 48/2
x = 24
The value of x is 6.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given:
The triangle ABC and AED are similar triangles.
So,
the corresponding sides are in proportion of each other.
ED/CB = AD / AB
8/6 = 8/x
x = 6
Therefore, the value of x is 6.
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Each year, Andrea donates a total of $800 for scholarships at her local community college. This year, she wants the amount she donates for liberal arts to be three
times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.
The equation is Andrea will donate $ for business scholarships and $ for liberal arts scholarships.
Answer:
The equation is [tex]L + B = \$800[/tex]
Andrea will donate $200 for business scholarships and $600 for liberal arts scholarships.
Step-by-step explanation:
Given
Represent Liberal Arts with L and Business with B
From the question, we have that:
[tex]L = 3 * B[/tex]
and
[tex]Total = \$800[/tex]
Required
Determine how much she donates for each
The total L + B is 800
i.e.
[tex]L + B = \$800[/tex]
Substitute 3 * B for L
[tex]3 * B + B = \$800[/tex]
[tex]3 B + B = \$800[/tex]
[tex]4B = \$800[/tex]
Solve for B
[tex]B =\$800/4[/tex]
[tex]B =\$200[/tex]
Recall that :
[tex]L = 3 * B[/tex]
[tex]L = 3 * \$200[/tex]
[tex]L = \$600[/tex]
at a candy store you get 7 giant lollipops for $16.12 how much would it cost to buy 6 lollipops?
Answer:
$13.80
Step-by-step explanation:
Divide $16.12 by 7 which equals 2.30, then multiply 2.30 by 6 to get ^^
pls help whoever gives me the most correct answer I'll mark brainliest
Question 7 (Worth 1 points)
(04.03 MC)
The price of oranges at a farm is $1.16 per pound. Which equation can be used to determine c, the total price of n pounds of oranges?
c equals 1.16 over n
c = 1.16n
c = 1.16 + n
c = 1.16 − n
Points earned on this question: 0
Question 8 (Worth 1 points)
(04.03 MC)
The graph below shows the price of different numbers of towels at a store:
A graph is shown. The values on the x-axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 17, 34, 51, 68, and 85. Points are shown on ordered pairs 0, 0 and 2, 17 and 4, 34 and 6, 51 and 8, 68. These points are connected by a line. The label on the x-axis is Number of Towels. The title on the y-axis is Price in dollars.
Which equation can be used to determine p, the cost of t towels?
p = 8.50 + t
t = 8.50 + p
t = 8.50p
p = 8.50t
Points earned on this question: 0
Question 9 (Worth 1 points)
(04.04 MC)
If a sprinkler waters 1 over 8 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?
2 hours
4 hours
10 hours
16 hours
Points earned on this question: 1
Question 10 (Worth 1 points)
(04.04 MC)
If 2 over 3 ton of gravel covers 3 over 4 of a driveway, how many tons of gravel are required to cover the entire driveway?
1 over 3 ton
1 over 2 ton
8 over 9 ton
11 over 12 ton
Points earned on this question: 1
Question 11 (Worth 1 points)
(04.05 MC)
David measured the height of a window frame as 5.61 feet, but the actual height was 6 feet. What is the percentage of error in David's measurement?
0.39%
0.94%
6.50%
6.39%
Points earned on this question: 0
Question 12 (Worth 1 points)
(04.05 MC)
The regular price of a coat is $40.25. During a sale, the coat was marked 24% off. What was the price of the coat during the sale?
$30.59
$37.85
$40.01
$40.49
Points earned on this question: 0
Answer:
c= 1.16n
Step-by-step explanation:
j
Need Answer ASAP only 5 min
Answer: 70
Step-by-step explanation:
1. Divide 528 by 264 to get 2
2. Do 2 times 35 to get 70