Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
Use the rules of significant figures to simplify the following expression:
25.5 x 10.09
Answer here
A square field has 3,844 sq. meters of land. What is the width of the field?
Answer:
The side length is 62 meters
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
3844 m^2 = s^2
Take the square root of each side
sqrt( 3844 m^2) = sqrt(s^2)
62 m= s
The side length is 62 meters
4.25 x 10^5 is more than, the same as, or less than 425000?
Answer:
Your answer is " the same as "
Step-by-step explanation:
Answer:
same as
Step-by-step explanation:
10^5 is 100000, and 100 times 4.25 is 425, so it must be 425000! You're welcome!
A company earns $175 a week for 10 weeks. It then has a loss of $87 a week for 15 weeks. At the end of the 25 weeks what is the company's balance?
The water company installed a 40 yard diagonal brace on a water tower between two vertical beams that are 12 yards apart as shown. Determine the height of each vertical beam.
Answer:
The lengths of the legs of a right triangle are 15 meters each. The length of the hypotenuse of a right triangle is 50 inches.
Step-by-step explanation:
Here is thetower it is talking about (illistration)
Stella has 215 coins and 89 of them are nickels. Two-thirds of the remaining coins are pennies. How many pennies does Stella have?
A. 38
B. 42
C. 66
D. 84
Answer: 84
Step-by-step explanation:
215 - 89 = 126
126 divided by 3 = 42
42 x 2 = 84
( this was how my teacher taught me to do these kind of problems)
Hope this helps! <3
Answer:
The answer is 84
Step-by-step explanation:
got it right on edge :D
- 2(3x + 4) - 2x - 5
how many many bricks can bob the dog use to make a wood chuck
Answer: none
Step-by-step explanation:
What are these questions, I want brainless btw
Answer:
Cats
Step-by-step explanation:
:)
Amanda is 25 years old. In 5 years time she will be twice as old as Simone.how old is Simone ?
Answer:
15 years old.
Step-by-step explanation:
Amanda is currently 25 years old.
In 5 years of time, she will be twice as old as Simone.
25+5=30.
30/2=15.
Thus, Simone is 15 years old.
what is 15 700 000 rounded to the nearest hundred thousandth
if the mean of a negatively skewed distribution is 40 which of these values could be the median of the distribution
a.35
b.50
c.40
d.45
Answer:
c.40
plz mark brainliest if helpful
FIRST ONE TO AWNSER CORRECTLY GETS BRAINLEIST-1.8 + (2.1) Show your work
Answer:
0.3
Step-by-step explanation:
2.1
-1.8
---------
0.3
Can someone tell me why the answer for this absolute value equation is all real numbers?
Answer:
yo its not that hard it just means that it can be any number
tolong bantu jawab please, makasih sebelumnya!
Answer:
2x² - 3x - 2
Explain:
Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.
2x² + x - 4x - 2
Collect like terms.
2x² + (x - 4x) - 2
Simplify.
2x² - 3x - 2
6. You earn 8% commission on sales. What is the commission if the sales
were as follows. 4 items at $1200,7 items at $650; 7 items at $600, and 6
items at $450? (no commas)*
Answer:
The total commission is=$1300
Step-by-step explanation:
The commission rate is a fixed number that applies to all the sales made by a salesperson. In our problem, the fixed commission rate is 8%, and the sales were as follows:
4 items at $1200 for a total of $4800. The commission is:
8% of 4800 = 0.08*4800 = $384
7 items at $650 for a total of $4550. The commission is:
8% of 4550 = 0.08*4550 = $364
7 items at $600 for a total of $4200. The commission is:
8% of 4200 = 0.08*4200 = $336
6 items at $450 for a total of $2700. The commission is:
8% of 2700 = 0.08*2700 = $216
The total commission is: $384+$364+$336+$216=$1300
The total commission is=$1300
The value of the the expression:
50 times the sum of 64 and 36?
3,236
2,354
4,104
5,000
Answer:
5000
Step-by-step explanation:
Let's start by evaluating what we are given. 50 times the sum of 64 and 36. Ok, so 50 times which is the way to write x (multiply) and the sum of 64 and 36 is another way to write 64 + 36.
Lets put this together now!
50 x ( 64 + 36 ) = 50 x ( 100 )
= 5000
29023789236+8974937077834758371=
what is 2 times 80+ 185-40+699-59
Answer:
945
Step-by-step explanation:
Answer:
1730 (2 times the whole expression) or 945 (2 times the addend of 80) [what is implied when 80+ 185-40+699-59 is not in parenthesis]
Step-by-step explanation:
2 times (80 + 185 - 40 + 699 - 59) →
2 (80 + 185 - 40 + 699 - 59)
2 ((((80 + 185) - 40) + 699) - 59)
2 ((265 - 40) + 699) - 59)
2 (225 + 699) - 59)
2 (924 - 59)
2 (865)
1730
_____________________
2 times 80 + 185 - 40 + 699 - 59 →
2(80) + 185 - 40 + 699 - 59
(((160 + 185) - 40) + 699) - 59
((345 - 40) + 699) - 59
(305 + 699) - 59
1004 - 59
945
Is 3b-8=13;-7 a solution?
Answer:
See below
Step-by-step explanation:
[tex]3b-8=13 \implies 3b=21 \implies \boxed{b=7}[/tex]
[tex]-7 \text{ is not a solution for the equation}[/tex]
13. In a recent Barangay election, Mr. Reyes won as Barangay Chairman with 3,074
votes. If there are 5,800 voters in the barangay, what percentage voted for Mr.
Reyes?
A) 12%
B) 47%
C) 53%
D) 88%
Answer:
53%
Step-by-step explanation:
Total voters = 5,800
5,800= 100%
3,074=X
X=3,074*100/5,800= 53%
Mr. Oates has 3/4 pound of oatmeal he uses 2/3 of the oatmeal to big muffins how much oatmeal does Mr. Courts have left
Answer:
1/12
Step-by-step explanation:
3/4-2/3 = 9/12-8/12 = 1/12
2ℓ + 2w for ℓ = 5.7 and w = 6.2.
Answer:
6.2
Step-by-step explanation:
Answer:
The answer to this problem is 6.2
Step-by-step explanation:
The Algebraic expression is a 2ℓ+2w for ℓ= 5.7 and w = 6.2
HELP WILL GIVE BRAINLIEST to best answer
Answer:
A,B,C,D
Step-by-step explanation:
They are all the same equation on both sides of the equal sign and sense the variable is x on all of them whatever number you put on one side you have to put it on the other side therefore resulting in any solution you could think of.
Which of the following expression(s) are equivalent to 0.16? Select all that apply.
A)
16
100
B)
9
50
OD) 16%
.
Answer:a
Step-by-step explanation:
14 increased by 14 5/7
Your $960 got an interest rate of 8.7% which was
compounded monthly for 3 years. What is your $960
worth after 3 years?
Answer:
D
Step-by-step explanation:
9 of 10
Work out
3 4.
2 +1
4 5
Give your answer as a mixed number
where appropriate.
21≥4x-15 solve
.....
Answer:
Inequality Form: x < 9
Interval Notation: (-∞,9)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
If an area can be washed at a rate of 2,700 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)
Answer:
250,000
Step-by-step explanation:
Judy’s Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy’s assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into the oven for 30 minutes. The oven can hold three cakes at one time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake for pickup and bills the customer, which takes 3 minutes. a. What is the capacity of the process, and what is the bottleneck? b. What is the throughput time for a typical cake? c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Time taken to receive order = 2 minutes
Ingredient mixing and cake loading = 8 minutes
Baking time = 30 minutes
Number of cakes oven can hold at a time = 3
Cooling time = 1 hour = 60 minutes
Cake packing = 2 minutes
Billing customer = 3 minutes
a. What is the capacity of the process, and what is the bottleneck?
The capacity of the process:
Within an hour : two bakings can be done =(30 minutes * 2) = 60 minutes
Also oven can hold 3 cakes, so, 3 cakes can be baked at a time.
Hence, 3 cakes in 30 minutes ;
6 cakes in an hour;
Hence, capacity of the process is 6cakes per hour.
The bottleneck is the oven, because if the number of ovens were to be increased, the process capacity will increase, similarly, if one of the oven gets faulty, then the process capacity reduces further.
b. What is the throughput time for a typical cake?
The throughput time, is the summation of all the time taken to fully complete an order :
Receipt of order + mixing + baking + cooling + packing + billing
2 + 8 + 30 + 60 + 2 + 3 = 105 minutes
c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
(Throughput time / 60) * average number of order
(105/60) * 5
= 1.75 * 5
= 8.75