Answer:
D
Step-by-step explanation:
Given a quadratic function in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then minimum value
• If a < 0 then minimum value
For
f(x) = x² + 16x + 3
a = 1 > 0 then f(x) has a minimum value
The minimum is the value of the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
Here a = 1 and b = 16 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{16}{2}[/tex] = - 8
To find the y- coordinate of the vertex, substitute x = - 8 into f(x)
f(- 8) = (- 8)² + 16(- 8) + 3 = 64 - 128 + 3 = - 61
Thus the function has a minimum value of - 61 → D
An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?
Answer:
798
Step-by-step explanation:
So, 21*{2*18 + (21-1)*2}/2
= 21*{36 + 20*2}/2
= 21*{36+40}/2
= 21*76/2
= 1596/2
= 798
Total number of seats is 798
Given that;Number of seats in first row = 18
Number of rows = 21
Each row added number of seats then previous = 2
Find:Total number of seats
Computation:Total number of seats = Sn = (n/2)[2a + (n-1)d]
Total number of seats = Sn = (21/2)[2(18) + (21-1)2]
Total number of seats = (21/2)[36 + (20)2]
Total number of seats = (21/2)[36 + 40]
Total number of seats = (21/2)[76]
Total number of seats = (21)(38)
Total number of seats = 798
Learn more:https://brainly.com/question/16668552?referrer=searchResults
X^2-16/x^2-3x-4 simply
Answer:
x+4/x+1
Step-by-step explanation:
hope this can help you :)
Answer:
[tex]\frac{x+4}{x+1}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2-16}{x^2-3x-4}[/tex] ← factor numerator/ denominator
= [tex]\frac{(x-4)(x+4)}{(x-4)(x+1)}[/tex] ← cancel the factor (x - 4) on numerator/ denominator
= [tex]\frac{x+4}{x+1}[/tex]
Please help me...will mark brainiest
Answer:
x-121
Step-by-step explanation:
Answer:
x² - 22x + 121
Step-by-step explanation:
(x-11)² is the same as (x-11)(x-11)
multiply the x in the first parentheses by x and -11 in the other parentheses and multiply the -11 in the first parentheses by x and -11 in the other parentheses and add all together
x²- 11x - 11x + 121
x² - 22x + 121
If u can help please do
Answer:
the first one is 240
the second one is 280
the third one is 200
The answers that would be discarded would be 220, 360 and 500
Step-by-step explanation:
Hey There!
So for this problem all we have to do is plug in the hours worked and drones sold into the expression 10h+40d
For the first one we just plug in 8 for hours (because he worked 8 hours) and 4 for drones ( because he sold 4 drones )
so we would have 10(8) + 40(4)
10x8=80
40x4=160
160+80=240 So 240 would go with the first one
For the second one we plug in 4 for hours ( because he worked 4 hours) and 6 for drones ( because he sold 6 drones)
so we would have 10(4)+40(6)
10x4=40
40x6=240
240+40=280
So 280 would go with the second one
For the third one we plug in 12 for hours ( because he worked 12 hours) and 2 for drones ( because he sold 2 drones)
so we would have
12(10)+2(40)
12x10=120
2x40=80
120+80=200
so 200 would go with the third one
hope this helps :)
15,19,23,__,31 find the number sequence
Answer:
27
Step-by-step explanation:
yes.
are you trying to find the missing number bc if so then its 27
15,19,23,27,31
subtract 9 from 16 as an expression pls help
Answer:
16 - 9 = x
i thonk :0
or 16 - 9 = 7
Step-by-step explanation:
The increased demand for vegetarian meals has caused an increase in the price of tofu. If the current cost of $2.99 per pound is increasing 6% per year, what will it cost in 5 years?
Answer:
R90,70
Step-by-step explanation:
[tex]2.99 \times \frac{6}{100} \times 5 = [/tex]
Answer:
y=4, or $4
Step-by-step explanation:
a=initial amount
b=growth
+6%=growth
100+6=106
106/6=1.06
equation: y=2.99(1.06)^x
2.99(1.06)^5
around 4
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 monthsWhat is (are) the solution(s) to the equation 23x−3=−13x−6?
free feet pic clickbait if u answer w full explimation
what is the scientific notation of 0.0000003
Answer:
This is ur answer.
Hope.it helps!!!
0540-0058= ???
In military time
Answer:
0442 (4:42 normal time)
btw plz give brainliest
plz answer this question
Solve the inequality for x: 1/2(2x + 4) = 3x -6
PLEASE HELP!! THIS IS REALLY SERIOUS!!
Answer:
A. y= - 1/2x + 20
B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)
C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline
hope this helps ;)
answer for a brainlist
Answer:
2) Gain
3) 0.39 (rounded)
Step-by-step explanation:
2)
12.16/64= 0.19
21/100= .21
12.24/72= 0.17
3)
9.25/24= .3854
if they tell you to round it, its .39, if not its .38
I need help with please and thank you can yall help me with a thing
Answer:
2 will give you the larger value of 17
Step-by-step explanation:
Find the length of a side of a square if its area is:
0.49 square units
Answer:
Side = 0.7 units
Step-by-step explanation:
Area of a square = 0.49 sq. units
Side² = 0.49
side² = [tex]\frac{49}{100}\\\\[/tex]
[tex]side = \sqrt{\frac{49}{100}}=\sqrt{\frac{7*7}{10*10}}\\\\sides=\frac{7}{10}=0.7[/tex]
Mary prepared sandwiches for the seminar participants. She bought 5 loaves of bread at 22.50 pesos each, 2 bottles of mayonnaise at 55.50 a bottle and 1.5 kilograms of ham at 240 pesos a kilogram. If she gave the saleslady 1 000, pesos, How much change did she receive?
1. What is asked?
2. What are given?
3. What is/are the hidden question?
4. What operations will you use to solve the problem?
5. What is number sentence?
6. What is the answer?
pasagot po tnx
I will mark you as brainliest if your answer is good :3
Answer:
416.50 pesos
Step-by-step explanation:
Given
Represent the bread with b.
Mayonnaise with m
Ham with h
[tex]Amount\ Paid = 1000[/tex]
Required
Determine the change
From the question: a loaf costs 22.50
This is represented as:
[tex]b = 22.50[/tex]
5 loaves will be:
[tex]5*b = 22.50*5[/tex]
[tex]5b = 112.50[/tex]
A bottle of Mayonnaise costs 55.50
This is represented as:
[tex]m = 55.50[/tex]
2 bottles will be:
[tex]2*m = 55.50*2[/tex]
[tex]2m = 111[/tex]
Lastly,
1kg of ham costs 240
This is represented as:
[tex]h =240[/tex]
1.5kg will be:
[tex]1.5*h =240*1.5[/tex]
[tex]1.5h =360[/tex]
The cost of the items is:
[tex]Costs = 5b + 2m + 1.5h[/tex]
This gives:
[tex]Costs = 112.50 + 111 + 360[/tex]
[tex]Costs =583.50[/tex]
Her change is calculated as:
[tex]Change = Amount\ Paid- Cost[/tex]
[tex]Change = 1000 - 583.50[/tex]
[tex]Change = 416.50[/tex]
x + 2/3 = -4 one step equation
Answer:
-4.666666667
Step-by-step explanation:
x + 2/3 = -4
x = -4 - 2/3
x = -4.666666667
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
Answer:
1.8 is the h of the rhombus
Answer:
4.8 cm
Step-by-step explanation:
last question on my test! please show some sort of work so i know its correct :) thanks! - dusty.
Answer:
this was 3 minutes ago... you still need the answer?
Step-by-step explanation:
Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?
Answer:
$7.07
Step-by-step explanation:
35.35/5=7.07
Find the Volume please help
What is the slope of the line through (-9,6) and (-3, 9)?
Answer:
1/2 think it is bc -9,6 and -3,9 are 1/2
Evaluate the expression for the value given.
6a
4a; when a = 2
Answer:
20
Step-by-step explanation:
6(a)+4(a).
6(2)+4(2)=12+8=20
final answer is 20
Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?
Answer:
maybe $825
Step-by-step explanation:
Im not sure but I think Its accurate
I really need help with thing I am in math class help this is due today
Answer:
C
Step-by-step explanation:
The triangle is doubled
The perimeter of the rectangle is 40 centimeters. Find the value of x.
There is a picture of a rectangle and it has an x on the left side and a 3x on the bottom.
a. 4
b. 5
c. 8
d. 10
ADD two expressions
-3t-1 and 6t + 10