Answers
[tex]10+y=5x+x^2~~~~.....(i)\\\\5x+y =1~~~....(ii)\\\\\text{From (i):}\\\\10+y = 5x +x ^2\\\\\\\implies y = 5x +x ^2 -10\\\\\text{Substitute y in equation (ii):}\\\\5x+5x+x^2-10=1\\\\\implies x^2 + 10x -11 =0\\\\\implies x^2 +11x -x -11=0\\\\\implies x(x+11) -(x+11) =0\\\\\implies (x-1)(x+11) =0\\\\\implies x =1 ~~ \text{or}~~ x = -11\\\\\text{Substitute x =~1 in equation (ii):}\\ \\5+y =1 \implies y =-4[/tex]
[tex]\\\text{Substitute}~ x =-11~ \text{in equation (ii):}\\\\\ 5(-11) + y = 1 \implies y = 1 +55 = 56 \\\\\text{Hence} (x,y) = (-11,56) ~~\text{and}~~ (x,y)=(1,-4)[/tex]
Related Questions
Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a
mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for
Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is
more than for Adam?
O 0.3113
O 0.4923
O 0.6887
O 0.7427
Answers
Answer:
0.6887
Step-by-step explanation:
Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
What is normal distribution?
Normal distribution is "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
Tory's distances from the center of the target are normally distributed with a mean of 123mm and a standard deviation 31mm. Number of attempts for Tory is 5.
Adam's distances from the center of the target are with a mean of 108mm and a standard deviation 47mm. Number of attempts for Adam is 3.
In order to find the probability of that mean distance from the center of the target for Tory is more than for Adam.
Normal distribution z = (x-μ)/σ x ~ (μ,σ)
When x = 108
z = (123 - 108)/47 [Adam's distances from the center of the target are normally distributed with a mean of 108mm and a standard deviation of Adam is 31mm.]
= 0.3191
P(x > 108) = P(z > - 0.3191)
= 1 - 0.3191 [since the probability of the normal curve is 1 and to find the area under tory mean is greater than the Adam mean only if we subtract 1 from z value]
= 0.6887
Hence, Using normal distribution, the probability of that mean distance from the center of the target for Tory is more than for Adam is 0.6887.
Learn more about Normal distribution here
https://brainly.com/question/11943392
#SPJ2
Suppose the average price of the market basket for toddler toys was $737.75 in 1994 and $801.93 in 2000 for the same basket. Calculate the inflation rate over this period. (Round your answer to the nearest hundredth of a percent.)
Answers
Answer:
0.014
Step-by-step explanation:
Minused old price from New then divided the answer by the old price then divided that by 6 to get yearly inflation
Answer:
Knewton as of May 15, 2022 8.70%
Step-by-step explanation:
5 An army cook wants to make pudding
for dessert. He has a recipe that calls for
2 cups of milk to make 4 servings. There
are 16 cups in a gallon. How many gallons
of milk does the cook need to make
864 servings of pudding?
Answers
Answer:
27
Step-by-step explanation:
First you dvide 864 by 4 to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.
I hope this helps!
Answer:
27 gallons
Step-by-step explanation:
First, multiply each number by 8, so you can get 16 cups.
16 cups to make 32 servings or 1 gallon to make 32 servings
Then find out what you multiply 32 by to get 864 by dividing 864/32 which is 27.
Now multiply the 1 gallon by 27 to get 27 gallons in 864 servings
Why are integers rational numbers
Answers
Answer:
Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).
Step-by-step explanation:
The table below provides the values of the functions g(t) and h(t) for
several values of t.
Which of the following is a solution to the equation f(t)=h(t)
Answers
Answer:
D) t = 5
Step-by-step explanation:
when t =5 both functions have the same x and y value
w+2/2 + 2 = w-5/3 solve for w
Answers
Answer:
w = -28
Step-by-step explanation:
[Given] w+2/2 + 2 = w-5/3
[Rewrite] [tex]\frac{w+2}{2} +2=\frac{w-5}{3}[/tex]
[Break up fraction] [tex]\frac{w}{2}[/tex] + [tex]\frac{2}{2}[/tex] + 2 = [tex]\frac{w-5}{3}[/tex]
[Combine like terms] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w-5}{3}[/tex]
[Break up fraction #2] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w}{3}[/tex] + [tex]\frac{-5}{3}[/tex]
[Add [tex]\frac{-5}{3}[/tex] to both sides] [tex]\frac{w}{2}[/tex] + [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex]
[Subtract [tex]\frac{w}{2}[/tex] from both sides] [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex] - [tex]\frac{w}{2}[/tex]
[Common denomiator of 6] [tex]\frac{14}{3}[/tex] = [tex]\frac{2w}{6}[/tex] - [tex]\frac{3w}{6}[/tex]
[Subtract #2] [tex]\frac{14}{3}[/tex] = [tex]\frac{-w}{6}[/tex]
[Multiply both sides by 6] 28 = -w
[S ubtract 28 from both sides & add w to both sides] w = -28
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A hiker starts at an elevation of 12 feet above sea level. She descends 43 feet into an
underground cave to explore. While exploring, she slips and slides 17 feet further down
into the cave. Write an expression that can be used to model this situation and evaluate
it to determine her location below sea level.
Answers
Answer:
if its asking for final depth it is 48 fert below sea level
Step-by-step explanation:
43 + 17= 60
12 - 60 = 48
You make $85,000 per year and your company matches 50 cents for every dollar you deposit into your 401k plan, up to %5 of your salary. If you contribute $300
every month to your 401k, what will your company contribute each month?
Answers
Answer:
$150 each month
Step-by-step explanation:
divide 300 in half because they contribute 50¢ per dollar
Finding the limit on Mathematica. How do I type this in Mathematica?
Answers
See the documentation for the Limit symbol for more info.
i. Limit[(t^3 + 3t^2 - 12t + 4)/(t^3 - 4t), t -> 2]
ii. For a one-sided limit, is the Direction option.
Limit[(y + 6)/(y^2 - 36), y -> 6, Direction -> -1]
The option value -1 essentially means we treat y as if it's greater than 6, so its value has to decrease in order to approach 6.
How is sin 10° = cos 80°??
Answers
Check the picture below.
Answer:
See below.
Step-by-step explanation:
Location is Q1
Angle is less than 90
cos Ф = sin(90° - Ф)
cos 80° = sin (90° - 80°)
cos 80° = sin 10° set your calculator in degree mode
Check
cos 80° = 0.1736481777
sin 10° = 0.1736481777
Solve for the value of p.
(6p-2)
न
(3p-7)|
Answers
Answer:
The sum of angles on a straight line is 180 degrees.
Therefore,
[tex](6p-2)+(3p-7)=180[/tex]
[tex]6p-2+3p-7=180[/tex]
[tex]9p-9=180[/tex]
[tex]9p=189[/tex]
[tex]p=21[/tex]
Need help !! From mathematics only
Answers
Answer:
1) 9h² - 3h + 2h² when h= -1
11h²- 3h
11(-1)²-3(-1)
11+3
14
2) -6m + 3t +2m² when m= 3 and t=-1
-6( 3) +3(-1)+2(3)²
-18 -3 +18
-3
3) 7g² - 2c³/ 3g - c² when g=2 and c= -1
7(2)² - 2(-1)³ / 3(2) - (-1)²
28 +2 / 6-1
30/5
6
On two investments totaling $14,000, Peter lost 4% on one and earned 6% on the other. If his net annual receipts were $312, how much was each investment?
Answers
Answer:
5280 , 8720
Step-by-step explanation:
suppose the one is x, another is y
x+y=14000
y(6%)-x(4%)=312
x=5280
y=8720
net annual receipt means the income so you have to substract the lost from the gains
pree point sa inyong lahat
Answers
Answer:
Thanksss
Step-by-step explanation:
:)
Answer:
thanks lol
Step-by-step explanation:
What is the probability that client A, the newborn you’re considering for a 30-year policy, lives to be 30 years old? Client A is a non-Hispanic white male, so look in table 14.
Answers
Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.
A probability is the number of desired outcomes divided by the number of total outcomes, that is:
[tex]p = \frac{D}{T}[/tex]
In this problem:
Out of 100,000 clients, 97,555 lives to age 30, hence [tex]D = 97555, T = 100000[/tex]Then:
[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]
There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.
A similar problem is given at https://brainly.com/question/25790531
Answer: The answer is 0.97424
Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.
Age
29-30 = 97,555
30-31 = 97,424
The correct row is 30-31.
97,424 / 100,000 = 0.97424
You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(
WILL GIVE BRAINIEST IF CORRECT
Which of the following doesn't belong? Explain.
Answers
Step-by-step explanation:
a. 5x² - 80
b. 5(x² + 4x - 4x -16)
5(x² - 16)
5x² - 80
c. 5x² - 20x + 20x - 80
5x² - 80
d. 5x² - 11
D doesn't belong because 5x² - 11 is not the answer to A, B, or C.
If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51
Answers
Step-by-step explanation:
q is inversely to p and we need to add k as the constant..
then find value of k by sub the value of p and q
after that sub the value of k and p to find q
It is impossible to solve this mixture problem: How many gallons of a 10% solution would need to be
added to a 20% solution to obtain a 30% solution.
True or False?
Answers
Answer:
false
Step-by-step explanation:
How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?
2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?
Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD
Answers
Answer:
AUB={1,2,3,4,5,7,8,9}
ALL THE NUMBERS WITHOUT REPEATING
AnB={5}
THE NUMBER THE HAVE IN COMMON
(AnB)n(BnC)={5}not too sure
CUD={1,3,6,7,8,10}
Which expression is equivalent to (1/square root y)^-1/5
Answers
Answer:
y^(1/10).
Step-by-step explanation:
(1/√y)^-1/5
= (y ^-1/2)^-1/5
= y^(-1/2 * -1/5)
= y^(1/10)
Answer:
Step-by-step explanation:
(1/sqrt(y) )^-1/5 To get rid of the minus, turn the sqrt(y) over.
(sqrt(y))^1/5 Represent the square root of y as y^(1/2)
(y^(1/2))^(1/5) Multiply the powers
y ^ 1/10
When a common denominator is found for the fractions 2/5 and 5/6, what will the equivalent fractions be
Answers
The equivalent fractions will be 12/30 and 25/30
Given the fraction 2/5 and 5/6
Their respective denominator are 5 and 6To make them the same, we will multiply the value of 5 by 6 and the value of 6 by 5
For the deniminator of 5, the equivalent denominator is (5*6) = 30
For the denominator of 6, the equivalent denominator is (6*5) = 30
Equivalent fraction for 2/5 = 2/5 * 6/6
Equivalent fraction of 2/5 = 12/30Equivalent fraction for 5/6 = 5/6 * 5/5
Equivalent fraction of 2/5 = 25/30Hence the equivalent fractions will be 12/30 and 25/30
Learn more on fractions here: https://brainly.com/question/17743912
trevin puts 8 gallon of gas
Answers
Answer:
good for trevin?
Step-by-step explanation:
we'll need more to go on haha
Wind forms desert pavement through ___.
A. sublimation
B. random acts of kindness
C. deposition
D. erosion
Answers
Answer:
D. erosion
Step-by-step explanation:
The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.
X is the random number of times a coin with heads probability 1/4 is tossed till the first heads appears, find: g
Answers
Given:
∠1 and ∠2 are supplementary angles
Prove:
l || m
Answers
Hello
just a second
people reading this please complete because you will help me a lot.
I am an Indian girl my name is Lamer and am 13 years old.
I Just got this new device after working at a farm for 2 years.
I used to use brainly at my friend device she had money to buy brainly plus.
I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.
2/-2.5+4.1+1.2(3+6)/-0.1
Answers
Answer:
-104.7Step-by-step explanation:
2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =
-0.8 + 4.1 + 10.8 : (-0.1) =
-0.8 + 4.1 + (-108) =
3.3 - 108 =
-104.7
which one of the congruency statements are true?
Answers
Answer:
line segment BC=line segment XY
Step-by-step explanation:
The last choice :)
In a competition with USA, Canada, England and Mexico, how many different ways can the countries place first, second and third?
a 3
b 24
c 4
d 9
Answers
Answer:
B
Step-by-step explanation:
There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle
4 countries could be first
3 countries could be second
2 countries could be 3rd
1 country can be last.
4*3 * 2 * 1 = 24 different ways.
what i ls the value of
[tex]\pi[/tex]
Answers
Step-by-step explanation:
π can be taken as approximation of 22/7 ≈ 3.14
Nate biked 54 miles in 4 1/2 hours. What was Nate’s average speed in miles per hour.
Answers
Answer:
12mph
Step-by-step explanation:
You must divide the 54 miles by the 4 1/2 hours which will give you 12mph