The time at which the minimum likely occurred is: A. n = 2(t - 2)² + 7: 12 Pm.
How to determine when the minimum occur?First of all, we would rewrite the equation by factorizing in order to reveal the minimum number of customers:
n = 2t² - 8t + 15
n = 2t² - 8t + 8 + 7
n = 2t² - 4t - 4t + 8 + 15 - 8
n = 2(t² - 4t + 4) + 15 - 8
n = 2(t² - 4t + 4) + 7
n = 2(t - 2)² + 7
When n = 2, we have:
n = 2(2 - 2)² + 7
n = 7.
Thus, the minimum likely occurred at n = 2(t - 2)² + 7: 12 Pm.
Read more on quadratic equation here: brainly.com/question/1214333
#SPJ1
Complete Question:
The number of customers in a store during the midday hours of 10 a.m. to 5 p.m. can be modeled by this function n = 2t² - 8t + 15, where n is the number of customers t hours after 10 a.m. Rewrite the equation to reveal the minimum number of customers. At what time does that minimum occur?
A. n = 2(t - 2)² + 7: 12 Pm.
B. n = 2(t - 2)² + 15: 2 Pm.
C. n = 2(t - 2)² + 7: 3 Pm.
D. n = 2(t - 4)² + 1: 4 Pm.
Factor out 2x squared minus 98 completely
Answer:
2(x+7)(x-7)
Step-by-step explanation:
1. In 2x^2-98, there is a common factor of 2
2. The equation therefore becomes 2 (x^2 - 49)
3. We know that x^-49 is a difference of two squares and can therefore be factored into (x+7)(x-7)
4. Therefore the fully factored answer is 2(x+7)(x-7)
Given that f(x) = x2 - 2x - 15,
a. Find the coordinates of the y-intercept
b. Find the coordinates of the x-intercepts
c. Find the coordinates of the vertex
d. Use the above information to sketch a graph of f(x)
a) (0; -15)
you just let x be equal to 0.
b) ( -5; 0) and (3;0)
you just let y/ f(x) equal to 0.
c)
A insurance salesperson earns a salary of $4,200 per month plus a commission of 3% of sales. How much must the salesperson have to sell to make an income of at least $4,500?
Answer:
x = 10,000
Step-by-step explanation:
commision earned = $4500. - $4200
commision = 300
therefore:
commision = 3% of the amount of the sales
300 = 3% of x( the price isn't known)
300 = 3/100 * x
300 = 3x /100
multiplying both sides by 100
300 x 100 = 3x/100 x 100
30000 = 3x
Divide through by 3
x = 10,000.
the amount of the sales = 10,000
______________
To check
commision = 3% of 10,000
commision = 300
Uriah deposited a check into his account for $310.64. Then, he withdrew 129.43 in cash in the same transaction. What is the net amount of Uriah's transaction?
Which decimal is the equivalent of 6/11?
A. 0.183
B. 0.1883
C. 0.54
Answer:
0.54
Step-by-step explanation:
6/11 in decimal form is closest to 0.54
PLEASE HELP!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
A vanilla cake has a diameter of 8 inches. What is the radius?
Answer:
4
Step-by-step explanation:
d = 8 inches
r = 8/2 = 4 inches
Answer:
4 inches.
Explanation:
If the diameter is a circle, divide the diameter by two and you will have the answer of 4. This gives you the radius.
8 / 2 = 4
Hope this helps. Have a wonderful day.
1. Round each length to the nearest inch.
a) [tex]1 \frac{1}{4} [/tex] ____"
b) [tex] \frac{7}{8} [/tex] ____"
c) [tex]1 \frac{1}{2} [/tex] ____"
d) [tex]2\frac{5}{8} [/tex] ___"
e) [tex]1\frac{5}{16} [/tex] ___"
f) [tex]4\frac{11}{16} [/tex] ___"
2. Round each length to the nearest foot.
a) 10" _____'
b) 2'9" ____'
c) 2'6" ____'
d)2'9" ____'
e)1'2" ____'
f)9'3" ____'
9514 1404 393
Answer:
1. 1, 1, 2, 3, 1, 5
2. 1, 3, 3, 3, 1, 9
Step-by-step explanation:
1. Any fraction of an inch that is 1/2" or more will cause the integer value to increase by 1. Otherwise, the integer value is the one you want. Of course ...
1/2" = 2/4" = 4/8" = 8/16"
a) 1"
b) 1"
c) 2"
d) 3"
e) 1"
f) 5"
__
2. Any inch measure that is 6" or more will cause the integer value to increase by 1. Otherwise, the integer value is the one you want.
a) 1'
b) 3'
c) 3'
d) 3' . . . same as B
e) 1'
f) 9'
A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.
Answer:
so it 15
Step-by-step explanation:
Rewrite the expression using properties of exponents:
What system of equations is shown on the graph?
What is the area of this triangle?
Answer:
what triangle????????????????????????????
What is the slope of the line passing through points (4,6) and (2,3)?
Answer: 3/2
Step-by-step explanation: y2-y1/ x2- x1
HELPPPPPPPPP WILL MARK 5 STARS!!!!!!!!!!!!!!!!!!!
Answer:
112
Step-by-step explanation:
For the function shown below, find f(1):
f(x) = 2x4 - 8x2 + 5x - 7
Given that,
2a + 5b=22
b = 2
Find the value of a.
Answer:
11
Step-by-step explanation:
Answer:
a=5.5 I hope this helped you
What is the exact value of tan(105°).
2 +V3
-2+V3
2-√3
-2-√3
The exact value of tan(105°) is -2 - √3.
What is Tangent function?Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.
Given that, we have to find the exact value of tan(105°).
We know that,
105° = 60° + 45°
tan(105°) = tan (60° + 45°)
We know,
tan (A + B) = (tan A + tan B) / (1 - tan A tan B)
So,
tan (60° + 45°) = (tan 60 + tan 45) / (1 - tan (60) tan (45))
tan 60 = √3 and tan 45 = 1
tan (60° + 45°) = (√3 + 1) / (1 - √3)
Multiplying both numerator and denominator by (1 - √3),
= (√3 + 1)² / (1 - 3)
= -(3 + 2√3 + 1) / 2
= -(4 + 2√3) / 2
= -(2 + √3)
= -2 - √3
Hence the value of tan(105°) is -2 - √3.
Learn more about Tangent Functions here :
https://brainly.com/question/22043858
#SPJ7
SOMEONE PLSSS HELP ME!!!!
Three of the sisters decide they would like to save money and get dessert elsewhere. If they all order grilled cheese sandwiches, then what is the maximum amount of money they can spend on dessert?
The local ice cream shop surveyed the customers to see which flavor of ice cream is most popular 125 people choose chocolate as their favorite which represents 25% of the customers surveyed how many total customers were surveyed A.425 B.20 C.500 D.32
Answer:
500
Step-by-step explanation:
Let there were a total of x number of customers.
As 125customers choose chocolate flavor as their favorite which is 25% of the total customers surveyed, so
25% of x = 125
0.25x=125
x=125/0.25=500
Therefore, the total number of customers surveyed is 500.
1) Rotate the following 180°.
Question 3 of 10
What is 9C6?
O A. 96
OB. 10
O C. 56
O D. 84
If a circle has more than one radius, they are all the same distance from the center to the edge.
True or False
THE ANSWER IS FALSE IM PRETTY SURE
Answer:
True
Step-by-step explanation:
All radii are half of a diameter.
Red blood cells are usually about 8 x 10 meter in diameter. What is that number written in standard notation?
A
0.000000
B
0.000000
C. 0.0000008
D
0.0000008
Answer: 0.000008
Step-by-step explanation:
So it says 10 to the -6 power...
10*-10*-10*-10*-10*-10*-10
0.000001
Then you multiply that by 8
0.000008
Hope this helps!
Answer:
Step-by-step explanation:
what they said
Which two points should the line of best fit go through to best represent the data in the scatterplot?
Answer:
(3,8) and (5,12) in other words C.
Step-by-step explanation:
Which statement is not always true for a parallelogram?
Answer:
b
Step-by-step explanation:
Answer:
Diagonals are congruent drop a like if you got it right
Step-by-step explanation:
Which expression is equivalent to 6f+8f?
Answer:
6f + 8f is equal to 14f
Answer:
14f
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
6f + 8f
Step 2: Simplify
Combine like terms: 14fHow many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN
must be an odd number?
a. 5,000
b. 4,500
c. 3,600
d. 500
Answer:
BStep-by-step explanation:
How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN must be an odd number?
ANSWER B: 4,500
The number of 4 digit personal identification numbers (PIN) is 4500
What is a PIN?A PIN is a security code that is used for verifying identities
There are 10 numerical digits i.e. 0 - 9
Since the 4 digit personal identification numbers (PIN) cannot begin with 0, then the first character can take any of 9 digits
The other three characters can take any of the 10 digits.
So, the number of PIN is:
PIN = 9 * 10 * 10 * 10/2
Expand
PIN = 4500
Hence, the number of 4 digit personal identification numbers (PIN) is 4500
Read more about arrangements at:
https://brainly.com/question/6032811
Whats the value of c? 60 - (3c + 4) = 4(c + 6) + c
Answer:
c=4 hope this helpss
Step-by-step explanation:
Answer and Explanation
__________________________________________________________
The value of "c" is 4.
Here's why.
__________________________________________________________
[tex]60-\left(3\cdot c+4\right)=4\cdot\left(c+6\right)+c[/tex]
What does c equal???
__________________________________________________________
Let's try using all numbers to find out what it is
[tex]60-\left(3\cdot 4+4\right)[/tex] = [tex]44[/tex]
[tex]4\cdot\left(4+6\right)+ 4[/tex] = [tex]44[/tex]
So it's 4!
__________________________________________________________
Hope this helps! <3
__________________________________________________________
explain and demonstrate how to turn 4/20 into a percent
Answer:
20%
Step-by-step explanation:
We can start by looking at it as a ratio, so 4 divided by 20 and 4/20 = 0.2, so that would be 20% viewing 1=100%.
Another way is
20 here is 100%, and for 20 to equal 100, we have to multiply it by 5. To balance it out, multiply the top by 5 as well, and 4 * 5 =20. Therefore, 4/20 = 20%
Need help to solve this ASAP #6
Answer:
x = 20
Step-by-step explanation:
The length of the segment EG can be obtained as the sum of the segments EF and FG, that is:
EG = EF + FG
We are given:
EF = 4x + 14
FG = 50
EG = 144
Thus, we set the equation:
144 = 4x + 14 + 50
Simplifying:
144 = 4x + 64
Subtracting 64:
80 = 4x
Dividing by 4:
x = 80/4 = 20
x = 20
