Answer:
It equals 132.25. You can use a calculator.
The correct answer is 132.25
The range of y = - 32x ^ 2 + 90x + 3
Given:
The given function is:
[tex]y=-32x^2+90x+3[/tex]
To find:
The range of the given function.
Solution:
We have,
[tex]y=-32x^2+90x+3[/tex]
It is a quadratic function because the highest power of the variable x is 2.
Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex of the quadratic function is:
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
In the given function, [tex]a=-32,b=90,c=3[/tex].
[tex]\dfrac{-b}{2a}=\dfrac{-90}{2(-32)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-90}{-64}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{45}{32}[/tex]
The value of the given function at [tex]x=\dfrac{45}{32}[/tex] is:
[tex]y=-32(\dfrac{45}{32})^2+90(\dfrac{45}{32})+3[/tex]
[tex]y=\dfrac{2121}{32}[/tex]
The vertex of the given downward parabola is [tex]\left(\dfrac{45}{32},\dfrac{2121}{32}\right)[/tex]. It means the maximum value of the function is [tex]y=\dfrac{2121}{32}[/tex]. So,
[tex]Range=\left\{y|y\leq \dfrac{2121}{32}\right\}[/tex]
[tex]Range=\left(-\infty, \dfrac{2121}{32}\right ][/tex]
Therefore, the range of the given function is [tex]\left (-\infty, \dfrac{2121}{32}\right ][/tex].
Determine which data set best corresponds to the given scatter plot.
Answer:
Are there any options?
and it's not A)
so B)
Step-by-step explanation:
A meat seller bought 250kg of meat for 224 Ghana cedis.At what price pre kg should he retail it in order to get 25% profit
Answer: 1.12 Ghana Cedis
Step-by-step explanation:
First find the cost per kg:
= Amount spent / kg
= 224/250
= 0.90 Cedis per kg
In order to make a profit of 25%, the amount to charge per kg is:
= Cost per kg * ( 1 + makeup)
= 0.90 * (1 + 25%)
= 1.12 Ghana Cedis
help please i need this done soon!! tysm!!
Answer:
70
Step-by-step explanation:
Opposite Angles are supplementary in cyclic quadratlerials.
melissa is involved is several activities. Each week she spends a total of 6 hours at her guitar lessons, 2.5 at her dance lessons, and 4 hours at soccer practice and soccer games. At this rate, how many total hours does melissa spend participating in these activities in a 5-week period
Answer: It is 62.5
Step-by-step explanation:
Consider the point X at (0,21) and point Y at (88, -103). What is the coordinate of the midpoint of xy
Step-by-step explanation:
let M be the midpoint of x and y
xM= (xX+xY)/2 =(0+88)2=44
yM=(Yx+yY)/2=(21_103)/2=_41
M(44,_41)
I need help anyone can help me? I’ll mark ya braninly
Answer:
You are more likely to grab a red marble. You are less likely to grab a green marble.
Step-by-step explanation:
6/16 is greater than 5/16. The bigger the number, the higher the probability.
Have a great day!
An amphitheater has 24 seats in the first row, 28 in the second, 32 in the third, and so on, for 28 rows. How many seats are in the amphitheater?
Answer: 2,184 seats
Step-by-step explanation:
Row Number of seats
1 24
2 28
3 32
4 36
5 40
6 44
7 48
8 52
9 56
10 60
11 64
12 68
13 72
14 76
15 80
16 84
17 88
18 92
19 96
20 100
21 104
22 108
23 112
24 116
25 120
26 124
27 128
28 132
Total 2,184 seats
Use SAS to explain why ΔABC ≅ ΔEDC
phoenix is a businessman who travels frequently he uses atms in many cities and does not write many checks he also uses direct deposit and has a savings account. Phoenix's bank is one of the four financial institutions described below which is most likely Phoenix's bank
Answer:
Bank 3
Step-by-step explanation:
No additional charges for automatic deposit and includes saving account.
Which two numbers round to 480,000 when rounded to the nearest ten thousand?
Answer:a and b
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
Remember: 5 or more-> Rounds up, Less than 5-> Rounds down
A. Incorrect, would round down to 470,000 due to it being 472 in the thousands place
B. Correct, would round up to 480,000 due to it being 476 in the thousands place
C. Correct, would round down to 480,000 due to it being 482 in the thousands place
D. Incorrect, would round up to 490,000 due to it being 485 in the thousands place
E. Incorrect, would round up to 490,000 due to it being 487 in the thousands place
Hope it helped! (:
I need help plz here is the question What is equevalent to 3 to 10 ? plz due in 6hr
Answer:
930 is equivalent to 310 because 9 x 10 = 30 x 3 = 90. 1240 is equivalent to 310 because 12 x 10 = 40 x 3 = 120.
which of the following would be considered a fee for a checking account?
A. Monthly service fee
B. Debit card fee
C. Overdraft fee
D. All of the above
Answer:
you're answer would be d
Answer:
D. All of the above
Step-by-step explanation:
Write an equation in standard form for a line that is perpendicular to the line with an equation of y=3x-5 that passes through the point (8,5)
Answer:
[tex]gradient \: of \: y = 3x - 5 \: is \: 3 \\ m = 3 \\ for \: perpendicular \: m {}^{.} \times m = - 1 \\ 3m {}^{.} = - 1 \\ m {}^{.} = - \frac{1}{3} \\ from \: \: y = mx + c \\ at \: (8,5) \: \: 5 = - \frac{1}{3} \times 8 + c \\ c = - \frac{15}{8} \\ hence \: \: y = - \frac{1}{3} x - \frac{15}{8} [/tex]
identify the terminal point for a 45° angle in a unit circle
plz I need some help here
Use the unit circle.
Looking at the picture, the answer is A. See it?
- Level
Question 4
Which choice BEST states the main idea of this stanza?
I've seen the daylight breaking high above the bough
I've found my destination and I've made my vow:
So whether you abhor me
Or deride me or ignore me
Mighty mountains loom before me and I won't stop now.
I'll reach my goal no matter what
challenges i face.
Hateful people are trying to keep
me from reaching my goal.
Though I can never reach my
goal, I won't stop trying.
It took me a long time to figure
out my goal in life.
2nd is good no cap about it
answer it is the 3rd one
HEEEEEEEEELLLLLLLLLLLLLPPPPPPPP!!!!!!!!!!!!!!!!
Brainliest to correct answer
Answer:
a) 4d^2
b) 4 16 1
Step-by-step explanation:
b)
4×1×1=4
4×2×2=16
4×1/2×1/2=1
Please answer my question please
Answer:
D
Step-by-step explanation:
i already did it its d
PLEASE HELP LAST ONE
Answer:
please the answer is C which is; x is about 4•0 and y is about 14•6
Will give 100 points !!!!!!! Due today!!! A family creates a monthly budget based on their combined wages and expenses for one month. Complete the budget
by choosing the correct option for each cell labeled A through E.
Answer:
Step-by-step explanation:
Budgeted Income $ Actual Income $ Difference
Wages $2,500.00 Wages $2,650.00 $150.00
Total Budgeted Wages $2,500.00 Total Actual Income $2,650.00 $150.00
Budgeted Expenses $ Actual Expenses $ Difference
Food $525.00 Food $500.00
A.
Credit Card $100.00 Credit Card $100.00 $0.00
Field Trips $0.00 Field Trips $15.00 -$15.00
Gas $150.00 Gas $120.00 $30.00
Clothing $0.00 Clothing $80.00
B.
Gifts $100.00 Gifts $20.00 $80.00
Entertainment $100.00 Entertainment $65.00
C.
Mortgage Payment $1,080.00 Mortgage Payment $1,080.00 $0.00
Utility Bills $160.00 Utility Bills $140.00 $20.00
Car Payment $225.00 Car Payment $225.00 $0.00
Car Insurance $157.00 Car Insurance $157.00 $0.00
Total Budgeted Expenses $2,597.00 Total Actual Expenses $2,502.00 $95.00
Surplus/Shortage D. Surplus/Shortage
E.
$245.00
You scored 85% on your math quiz. The quiz was out of 50 points. How many points did you get?
Answer:
43
Step-by-step explanation:
Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).
12, 17, 20, 8, 13
Answer: 3.6
Step-by-step explanation:
A line that includes the points (-10, 6) and (-9, h) has a slope of -8. What is the value of h?
does anyone know how to do any of these types of problems?
9514 1404 393
Answer:
150°
Step-by-step explanation:
The rule here is that the external angle is half the difference of the arcs subtended. That relation is used to form an equation, which can then be solved for whatever measure is of interest.
(RB -EC)/2 = D
((13x +7) -(60))/2 = (5x -10)
13x -53 = 10x -20 . . . . . . . . . . multiply by 2
3x = 33 . . . . . . . . . . . . . . add 53-10x to both sides
x = 11 . . . . . . . . . . . . divide by 3
RB = 13x +7 = 13·11 +7 = 150
The measure of arc RB is 150°.
A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter
in cm, of the rectangle?
A. 824
B. 1,600
C. 2.000
D. 3.200
If Mr. Smith had $210,500 in an account that earned $2,000 in interest in 7 years, how much money would he have in the account after 7 years.
Answer:
eugene was the only person to do that brother want me to be a man of a woman called me maths exercise 3in a minute and 63633663rd of the day to the day I 6am 6to 7I 6be and 6I 663773to to the other day and I think you should write in 6a and the 3other of your day to day
What is the measure of angle C
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
[tex]bit.^{}ly/3dXyuz8[/tex]
Pls help me
NO LINKS OR I WILL REPORT
Answer:
40 + x is correct!
Step-by-step explanation:
Answer:
i think 40 plus X
Step-by-step explanation:
Write an equation of the line below.
Answer:
y= 2/1x + 1
2/1x is the slope and 1 is the Y intercept.
Can I get help with this
Answer:
the red one represents nature trails in Panama city. because by plugging in a number into the equation say for 1 in x = y being 3 which corresponds to be linear.
Jacksonville will have more nature trails sine the formula is growing exponentially rather than Panama linear growth.