The axis of symmetry for the graph of the function f(x) = 3x^2 + bx + 4 is x = 3/2 . What is the value of b?
Answer:
b = -9
Step-by-step explanation:
Axis of symmetry of a parabola = -b / 2a.
Where y = ax² + bx + c.
Given f(x) = 3x^2 + bx + 4,
a = 3, and c = 4.
If the axis of symmetry is 3/2, than b can be found by substitution and algebra.
[ x = -b / 2a ] → [ 3 / 2 = -b / 2a ] →
[ 3 / 2 = -b / 2 (3) ] → [ 3 / 2 = -b / 6 ] →
[ 3 / 2 × 6 = -b / 6 × 6 ] → [ 18 / 2 = -b ] →
[ 9 = -b ] → [ -b = 9 ] → [ (-)(-b) = (-)(9) ] →
b = -9
Which fraction correctly shows the probability of14 favorable outcomes and 37 possible outcomes?
Answer: 14/37
Step-by-step explanation:
use the distributive property to remove the parentheses for this question?
-5 (4v - 2u - 3)
9514 1404 393
Answer:
-20v +10u +15
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses.
-5(4v -2u -3) = (-5)(4v) +(-5)(-2u) +(-5)(-3)
= -20v +10u +15
Melanie invested $8,600 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 % compounded monthly. Oliver invested $8,600 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded daily. After 10 years, how much more money would Melanie have in her account than Oliver, to the nearest dollar?
Answer:
$139
Step-by-step explanation:
The formula for compound interest =
A = P(1 + r/n)^nt
Where
P = Principal
r = Interest rate
n = Compounding frequency
t = time in years
A = Amount after t years
For Melanie
Melanie invested $8,600 in an account paying an interest rate of 2 7/8% compounded monthly.
Rate = 2 7/8% = 23/8% = 2.875%
Time = 10 years
n = monthly = 12
First, convert R percent to r a decimal
r = R/100
r = 2.875%/100
r = 0.02875 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 8,600.00(1 + 0.02875/12)^(12)(10
A = 8,600.00(1 + 0.002395833)^(120)
A = $11,460.64
For Oliver
Oliver invested $8,600 in an account paying an interest rate of 2 3/4 % compounded daily.
Rate = 2 3/4% = 11/4% = 2.75%
Time = 10 years
n = daily = 360 days
First, convert R percent to r a decimal
r = R/100
r = 1.375%/100
r = 0.01375 per year,
Then, solve our equation for A
First, convert R percent to r a decimal
r = R/100
r = 2.75%/100
r = 0.0275 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 8,600.00(1 + 0.0275/360)^(360)(10)
A = 8,600.00(1 + 7.6389E-5)^(3600)
A = $11,322.05
After 10 years, how much more money would Melanie have in her account than Oliver, to the nearest dollar?
This is calculated as
$11,460.64 - $11,322.05
=$ 138.59
Approximately to the nearest dollar = $139
Answer:
139
Step-by-step explanation:
it’s right
And the second question asks
Are the systems of equations
equivalent?
Yes
No
Couple more to go, thx for the help >:)
Answer: Question 1 is x=9
Question 2 is y=-3
Step-by-step explanation:
Inés tiene una linda colección de estampillas en el álbum de Europa tiene274,de Francia 188,de Italia ;254 de Alemania y 124 de España sien el álbum de América hay 854 estampillas ¿en que álbum hay mas estampillas?
Answer:
la puedes a sed a engles no se mucho español.
Please help me quickly! During spring, every three days there is usually 1 rainy day. In a 30 day month, how many days would you expect to be rainy? _______ rainy days
____________________________________
On average, for every 15 points scored by his basketball team, Riley scores 4 of them. About how many points would you expect Riley to score in a game where his team had a final score of 90 points _________ points
____________________________________
Use a proportion to convert 32 fluid ounces to cups. [ hint: use the conversion factor fl oz = 1 c.] __________ cups
Thanks so much!
Answer:
1. 10 rainy days
2. 24 points
3. 4 cups
Explanation:
Divide thirty by three to get ten rainy days.
Divide 15 by 90, then multiply the product by four to get 24 points.
divide the volume value by 8.
Darrin has 702 CDs in his collection Dana has 367 CDs and her collection how many more CDs does Darrin have more than dana
7 3/4 as a percent? PLZ WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
7 3/4 = 775%
Step-by-step explanation:
pls mark meh as brainliest!
Can someone help me please
Answer:
first draw a line that goes through (0,-5) and (1,-4) and then another one that goes through (3,-2) and (0,-1)
6 to the third power + 5(4 − 2)
28
36
226
234
Answer:
226
Step-by-step explanation:
6 x 6 x 6 = 216
4 - 2 = 2 x 5 = 10 so add 216 and 10 together to get an answer of 226
find the value of given expression
[tex] \sqrt{62500} [/tex]
Answer:
250 is the answers for the question
Step-by-step explanation:
please give me brainlest
Answer:
I got this it 250..........
Hey! We are studying about weather systems and she wanted to know for Saturday morning where the tornadoes would be in tennessee since there is a strong storm system coming. Marking brainliest!!!!! Sorry supposed to be for science!!!!
Answer: I think the tornadoes hit Alabama and there are just serevere thunderstorm at places like C h a t t a n o o g a or C l e v e l a n d.
What is -5^-4 (my friend needs help)
Answer:
-0.0016
- 1/ 625
Step-by-step explanation:
Answer:
Step-by-step explanation:
-5 ^ - 4
= 1 / -5 ^ 4
= 1/625
hope it helps :)
Find the area of the shaded sector
Answer:
Step-by-step explanation:
I need to find the sum of this equation please help :)
Answer:
i think
-17x^2 +3x
.....
The function C(x)=−15x+2304 represents the cost to produce x items. What is the least number of items that can be produced so that the average cost is no more than $33?
Answer:
152
Step-by-step explanation:
Given the function :
C(x)=−15x+2304
The least Number of items, x that can be produced so that average cost does not exceed $33
C(x) = less than or equal to 33
33 = - 15x + 2304
33 - 2304 = - 15x
-2271 = - 15x
x = 2271 / 15
x = 151. 4
Hence, the least number of items that can be produced is 152
Help please I don’t understand this at all whatsoever
Answer:
1. EFG= 90°
2.GDH=90/2=45°
3.FEG=90/2=45
4.DHG=90°
01 Fill in the Blank Dropdown
The number that occurs the most in a set of data is called the
The middle number in a set of data that is in order from least to greatest is called
The average of a set of numbers is called
The
can be more than one number.
02 Fill in the Blank Dropdown
Answer:
Number that occurs the most: mode
Middle number in ordered set of data: median
average of a set of numbers: mode
More than one number: i think it is mode
Step-by-step explanation:
simplify (x + 5) (x-5)
Answer:
(x+5)(x-5)
X²-5x+5x-25
X²-25
use the distributive property to write an expression that is equivalent, show your work.
4(x+8)=
Mr. Powell has a box that weighs 16 pounds. What is the weight of this box in ounces? A. 1 oz. B. 16 oz. C. 64 oz. D. 256 oz.
Answer:
256oz
Step-by-step explanation:
D.
hope this helps have a nice day
Answer:
Option D) 256 oz.
Step-by-step explanation:
Passed the test on T4L 2023 :) Hope this helped
Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
£
Where: A = P(1 + rt)
A = $1,265.00
I = A - P = $165.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 1100(1 + (0.05 × 3)) = 1265
A = $1,265.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,100.00 at a rate of 5% per year for 3 years is $1,265.00.
Henry flies from Washington, D.C., to Boston, MA. The first flight from Washington, D.C., to New York City is 1 h 12 min. The layover in New York City lasts 2 h 41 min.The flight from New York City to Boston lasts 1 h 10 min. How long is it from the time the first flight takes off to the time Henry touches down in Boston?
Answer: It is 5.05 hours or 5 hours 3 minutes from the time the first flight takes off to the time Henry touches down in Boston
Step-by-step explanation:
1 hour = 60 min
Given :Time for flight from Washington D.C. to New York City = 1 h 12 min = 72 min
Lay over in New York = 2 h 41 min = 161 min
Time for flight from New York City to Boston = 1 h 10 min = 70 min
Thus total time for Henry to touch down Boston = Time for flight from Washington D.C. to New York City + Lay over in New York + Time for flight from New York City to Boston = 72 min + 161 min + 70 min = 303 min = 5.05 hour
5.05 hours or 5 hours 3 min from the time the first flight takes off to the time Henry touches down in Boston
Is 8, 11.5, 8.5 a right triangle?
Answer:
Monkey says NO
Step-by-step explanation:
It was close, but banana was 1.7 banana short. sorry for your loss.
help please if woukd be greatly appreciated !!!
Answer: ok i don't know but you can copy and paste the question then search it in the search bar because i can guaranty that someone has asked that question before. and then all you got to do that and you can keep your points. hope this helps! ;)
Step-by-step explanation:
The base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm. What is the height, in centimeters, of the pyramid if its volume is 124.2 cubic cm?
Answer: 9 cm
Step-by-step explanation:
The volume of a pyramid is calculated by the formula:
Volume = (Length * Width * Height ) / 3
Filling in the details from the question will give:
124.2 = (9 * 4.6 * h) / 3
Solve for h:
9 * 4.6 * h = 124.2 * 3
41.4h = 372.6
h = 372.6 / 41.4
h = 9 cm
I need help ASAP with this please help
Answer:11/18, or 11 to 18.
Independent Practice
Simplify the expression. 6 7 −4 7
A.
2 72 square root of 7
B.
2
C.
− 10 7
D.
10 710 square root of 7
Answer:
A.
2 72 square root of 7
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Exact Form:
2
7
Decimal Form:
0.
¯¯¯¯¯¯¯¯¯¯¯¯
285714
Simplify the expression.
Exact Form:
2
√
7
Decimal Form:
5.29150262
…