Answer:
p = 3 and q = 7
Step-by-step explanation:
Given the equation x^2 + 6 x − 2 = ( x + p )^2 + q we are to find the value of p and the value of q .
x^2 + 6 x − 2 = ( x + p )^2 + q
Using the completing the square method on x^2 + 6 x − 2
x^2 + 6 x − 2
= x^2+6x+ 9 - 2 + 9
= (x^2+3x+3x+9)+7
= x(x+3)+3(x+3) + 7
= (x+3)(x+3)+7
= (x+3)^2+7
Compare to the right hand side
(x+3)^2+7 = ( x + p )^2 + q
p = 3 and q = 7
You jog 3 kilometers in 12 minutes.
At this rate, how long will it take you to complete a 7-kilometer race?
Answer:
It will take 28 minutes to complete a 7-kilometer race
Step-by-step explanation:
If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.
Nine boys share 2 pizzas equally.
How many pizzas does each boy get?
Answer:
if the two pizzas has 8 slices each and there's 9 boys everyone has one pizza and some leftover
Step-by-step explanation:
Answer:
4/9th??? i think im wrong
ASAP PLEASE!!!!!!! ILL DO ANYTHING!!!
A manager increased the hourly pay for three employees.
Carlie’s hourly rate, which used to be $9 per hour, increased by 6%.
Allison’s hourly rate, which used to be $8 per hour, increased by 9%.
Gabriele’s hourly rate, which used to be $11 per hour, increased by 5%.
Order the hourly rates from least increase in pay to greatest increase in pay.
Answer:
Allison, Carlie , Gabriele ($8.72, $9.54, $11.55)
Step-by-step explanation:
Carlie's 9+6%= $9.54
Allison's 8+9%= $8.72
Gabriele's 11+5%= $11.55
On Monday, 475 people visited the museum. On Saturday, there were 4 times as many visitors as there was on Monday. How many people visited the museum on both days combined?
Answer:
2,375 people
Step-by-step explanation:
Hope this helps!! <3
pleaseeee help meee i dont understand
1. -3(-2-4-0)+3-(3-5-7)=
Answer: The answer is 18
Answer:
[tex] - 3 + 5 + 7 - 18 + 36 \\ - 3 + 12 - 18 + 36 \\ - 21 + 36 \\ = 15 \: \: \: ans.[/tex]
For matinee at a local theater, adult tickets cost
$6 and kids under 12 pay only $4. Ninety
tickets were sold for a total of $428. Which
system of equations correctly represents this
problem if you let a represent the number of
adult tickets sold and k represent the number of
kid tickets sold.
Answer:
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
(12)3=36
Step-by-step explanation:
i don't know.. I think this is what the question is trying to say XD
Answer:
(12)3=36
Step-by-step explanation:
help! I need an answer soon
pls don't make it random letters to get the points.
Please need help with one
D 5/3
Couldn’t fit in pic
Answer:
B
Step-by-step explanation:
You can just move upper y equation and it will be:
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
15x=30
x=2
Answer:
Try the website, MATH
WAY
type in your equations
The sequence below shows the number of bacteria Arjun observed each hour for a science experiment:
5, 20, 80,320,1,280,...
Which recursive function describes the number of bacteria observed at the nth hour?
Answer:
0
Step-by-step explanation:
fffffffffffffffffff
pleaseeeeeeeeeeee helpppppppppppppppp
Answer:
hirap naman yan basahin mo kasi directions
9 1/4 - 3/4 =
6 4/9 - 3 11/12 =
3 11/15 - 1 5/6 =
4 5/14 - 3 17/21
Answer:
8 1/2
2 19/36
1 9/10
23/42
If s = -5 and t = 3, find the value of s 2t.
a.75
b.225
c.-75
d.30
simplify the expression :
1.7h - 8.9 + 3
Answer:
1.7h - 5.9
Step-by-step explanation:
Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.
Identify the domain, range and x-intercept of the function below.
Today, 6 friends went out for lunch. Their total bill was $50.41 , including tax and gratuity. One of them ordered only soda and needed to pay only $1.71 . The other 5 friends ordered the same daily special. How much did each of the other friends need to pay?
Answer:
50.41 minus 1.71 is 48.70 divided by 5 is 9.74
Which expressions are equivalent to 7-2 x 76?
In a group of 700 people only 5% of them have red hair how many people hade red hair
An it that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
If L // M find the value of X. provide step by step explanation please
Answer:
x = 29°
Step-by-step explanation:
If line l is parallel to line m, therefore:
(180° - 130°) + 101° + x° = 180° (angles on a straight line)
50° + 101° + x° = 180°
151° + x° = 180°
x = 180° - 151° (substraction property of equality)
x = 29°
Solve each two step problem.
9) Darlene worked 40 hours a week at $8.75 per hour. From her earnings the company
withheld $55.75. How much did she have left?
The maximum water depth at Lake Tahoe, California in 2014 was 1644 feet. Because of the drought, the water level has been decreasing at an average rate of 6.2 feet per year. Create a model for the depth of the lake
Answer:
i would suggest putting this in a line graph
Step-by-step explanation:
the y axis can be the depth while the x axis can be the time passed since 2014
if you have the answers send em pls
Step-by-step explanation:
area of rec= length×width
=10×4
= 40
radius= diameter/2
=4/2 = 2
area of semicircle= πr²/2
=22/7×2×2×1/2
=6.28
=6.3
adding both
we get,
=40+6.3
= 46.3
A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).
Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
Alex has a bag of marbles. 3 are blue, 5 are red, 12 are green, and 8 are purple. What is the probability of drawing 3 purple marbles in a row without replacement?
-3. 12=2+
[tex] \frac{x}{2} [/tex]
HURRY solve for x
Solve for x
Using the pytheogram therom
Answer:
X=14
Step-by-step explanation:
17^2+b^2=19^2
289+b^2=361
361-289=72
The square root pf 72 is ~8.5
subtract 17 from 31 (to get rid of the triangle bases on the bottom).
31-17=14
X=14
Find m 1 and m 2 in the diagram