Complete the square to rewrite the quadratic:
2 x² + 3 x + 5 = 2 (x² + 3/2 x) + 5
... = 2 (x² + 3/2 x + 9/16 - 9/16) + 5
... = 2 (x² + 3/2 x + (3/4)²) + 5 - 9/8
... = 2 (x + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) x for which y = 0.
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?
Answer:
8 - 2i
Step-by-step explanation:
Just add the real parts together and then add the imaginary parts together
5 + 3 = 8
-4i + 2i = -2i
8 - 2i
Answer:
8-2i
Step-by-step explanation:
3 ÷ 6/7 i really need help! i will give you brainliest pls HELP
Answer:
7/2
Step-by-step explanation:
---------------------------------------------------------
3.5
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What is
41/6
as a mixed number in simplest form?
Enter your answer in the box.
Answer:
6 1/6
Step-by-step explanation:
six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6
Given that a=4,b=2 and c=-1, find the value of a-b+c
Answer:
1
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
a - b + c
a = 4
b = 2
c = -1
Step 2: Solve
Substitute: 4 - 2 - 1Subtract: 2 - 1Subtract: 1Rewrite 8^-12 isIng a positive exponent
Answer:
8^12??
Step-by-step explanation:
what is islng
Answer:
1/[tex]8^{12}[/tex]
Step-by-step explanation:
Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]
1/[tex]8^{12}[/tex]
Solution
1/[tex]8^{12}[/tex]
Alternate form
≈ 1.45519 x [tex]10^{-11}[/tex]
Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?
231km 118m - 485km 829m in the smallest unit
Answer:
Uhhhhhh
Step-by-step explanation:
ABUNDA LA CACA BDHDHENSNGAGVD
Answer:
hard
Step-by-step explanation:
9.831 rounded to the nearest tenth
Answer:
9.8
Can i get brainliest please?
Answer:
9.8
Step-by-step explanation:
Hoped that helped :)
Can somebody please help me with this math problem
Answer:
According to the question 25% of the students wore jackets.
Thus 25% of 12 wore jackets
The number of students can be found easily by multipling 12 with 25//100
12*25/100
12*1/4
12/4
thus, 3 students
Therefore, option 3 is correct
The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored
This question is incomplete
Complete Question
The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?
Answer:
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Step-by-step explanation:
Let the number of points scored by the lion = l
The number of points scored by the tiger = t
The Lions scored three more than three times the number of points the Tigers scored.
l = 3 + 3(t)
The total number of points scored by both teams is 31.
= l + t = 31
3 + 3t + t = 31
4t = 31 - 3
4t = 28
t = 28/4
t = 7 points
Note:
l + t = 31
I = 31 - t
l = 31 - 7
l = 24 points
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Hey guys I need help. Care to be kind? :(
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?
−2x+y=−5
2x+y=−5
−2x+y=5
−2x+y=−11
Answer: −2x+y=−11
(4,-3) = −2x+y=−11.
Answer: −2x+y=−11.
PLS HELP QUICKLY WILL GIVE BRAINLIEST
Answer:
the first one
Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist
Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.
[tex]\huge\boxed{125.}[/tex]
[tex]\boxed{-------------------------------------}[/tex]
Explanation...
So, 25 legislators represents 500,000 people.
We are trying to find how much legislators you need to represent 2,500,000.
500,000*5=2,500,000.
25*5=125.
Therefore, your answer is 125.
[tex]\boxed{-------------------------------------}[/tex]
Hope i helped!
[tex]\huge\boxed{Thanks,Plip.}[/tex]
Answer: 125
In Kennington, 25 legislators represent 500,000 people.
Find how many times 500,000 go into 2,500,000 people.
2,500,000 ÷ 500,000 = 5
Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.
25 x 5 = 125.
Answer = 125.
Hope this helps you!
Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.
Answer:
El nieto de 14 años de edad recibirá la mayor cantidad.
Step-by-step explanation:
En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.
Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.
Solve the system of equations: y=x^2, y=x+6
A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
The probability of Steve agreeing with the company’s claim is 0.50502.
Step-by-step explanation:
Let X denote the number of green candies.
The probability of green candies is, p = 0.20.
Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.
So, n = 30 candies are randomly selected.
All the candies are independent of each other.
The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.
It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.
Compute the probability of 5, 6 and 7 green candies as follows:
[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]
Then the probability of Steve agreeing with the company’s claim is:
P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)
= 0.17228 + 0.17946 + 0.15328
= 0.50502
Thus, the probability of Steve agreeing with the company’s claim is 0.50502.
PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS
The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.
Answer:
the anwer is 5*6
4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet
Answer:
The probability that the household has only cell phones and has high-speed Internet is 0.408
Step-by-step explanation:
Let A be the event that represents U.S. households has only cell phones
Let B be the event that represents U.S. households have high-speed Internet.
We are given that 51% of U.S. households has only cell phones
P(A)=0.51
We are given that 70% of the U.S. households have high-speed Internet.
P(B)=0.7
We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.
P(B|A)=0.8
[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]
Hence the probability that the household has only cell phones and has high-speed Internet is 0.408
PLEASE HELP!?!?!
a. c + 7 less than or equal to 3
b. c – 3 > 1
c. c – 7 < 3
Matching
Match the inequality to the graph of its solution.
Help please zearn is so hardddd
Answer:
1000-20
Step-by-step explanation:
Help guys, please I needed this answer PLEASE!!!
Micah found the least common multiple of 8 and 12. His work is shown below.
Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .
The least common multiple is 12.
What is Micah’s error?
Answer:when he was doing the multipleis of 8 he put 20 when there is no 20
Step-by-step explanation:
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Answer: $15,660 & 32 v.c
Step-by-step explanation:
Main Menu
Solve the equation
Unit 2
- 8c+7= -25
Section 3.2
Section 3.3
Section 9.3
Section 9.5
Section 9.6
Answer:
c = 4
Step-by-step explanation:
Solve for"c" in the following equation:
- 8 c + 7 = - 25
Subtract 7 from both sides:
- 8 c = - 25 - 7
combine like terms
- 8 c = -32
divide both sides by "-8" to isolate c on the left
c = - 32 / (-8)
c = 4
Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.
Answer:
Step-by-step explanation:
CACA POOP
Answer:
464
Step-by-step explanation:
hwe
Is the product of 0.4 * 1.8 greater then or less then 0.4
Answer:
Greater
Step-by-step explanation:
.4*1.8 is .72
.72 is greater than .4
Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?
The rate of return that the university must realize in order to award the annual scholarship forever is _____%.
Answer:
5.73%
Step-by-step explanation:
Calculation for the rate of return that the university must realize
Using this formula
Rate of return = Initial payment/(Plan to donate- Initial payment)
Let plug in the formula
Rate of return=$13,000/($240,000-$13,000)
Rate of return=$13,000/$227,000
Rate of return=0.0573*100
Rate of return =5.73%
Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.
The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%
Answer:
1/5
Step-by-step explanation:
We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.
We know that, percent means we need to divide the value by 100 i.e.
[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]
So, the required fraction is 1/5.