Answer:
x = - 1
Step-by-step explanation:
The x- coordinate of the vertex is mid way between the roots of the quadratic.
The difference between x- coordinate of vertex and the given root is
difference = | - 3 - (- 5) | = | - 3 + 5 | = | 2 | = 2
Thus the other root is 2 units to the right of x = - 3, that is
x = - 3 + 2 = - 1
The other root is x = - 1
Janet and Nadia each play basketball. Nadia has won twice the number of games Janet has. Is it possible for Janet to have won 10 games if the sum of the games Nadia and Janet have won together is 24?
Yes; Janet could have won 10 games because 3x = 24.
Yes; Janet could have won 10 games because 2(10) is less than 24.
No; Janet could not have won 10 games because 2x ≠ 24.
No; Janet could not have won 10 games because 3x ≠ 24.
Answer:
no, janet could not have won 10 games because 3x is not equal to 24
Step-by-step explanation:
if janet won twice as many as nadia that means nadia times 2
so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d
hope this helps
Answer: No; Janet could not have won 10 games because 3x ≠ 24
Step-by-step explanation:
Janet and Nadia won 30 games together. 10x2(10)=30
! !
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1. Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). a. Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) b. What is Miguel’s expected value from playing the game? c. Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays? d. What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.
Answer:
To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.
The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)
We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.
please mark me brainliest :)
What is the standard form for the quadratic function? f(x)=(x−3)2+5 f(x)=x2−4
f(x)=x2+14
f(x)=x2−6x+14
f(x)=x2+6x−4
Answer:
x^2-6x + 14
Step-by-step explanation:
Here, we want to
write the standard form of the quadratic equation in the question.
This can be written by expanding the bracket.
F(x) = (x-3)^2 +5
F(x) = (x-3)(x-3) + 5
F(x) = x(x-3)-3(x-3) +5
F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14
Solve the equation or inequality 3(14+x) =57 for the unknown number. Show your work.
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
3(14 + x) = 57
Step 2: Solve for x
[Distributive Property] Distribute 3: 42 + 3x = 57[Subtraction Property of Equality] Subtract 42 on both sides: 3x = 15[Division Property of Equality] Divide 3 on both sides: x = 5Answer:
x=5
Step-by-step explanation:
First multiply 3(14+x) = 42 + 3x
Now you have the equation 42 + 3x =57
Then subtract 42 from both sides
The equation would be 3x = 15
Divide 3 from each side to get the x value
15/3=5
So therefore your answer would be x = 5
Hope this helps!
does anyone know how to solve
this problem? any help would be amazing please!!
Answer:
x = 60 and y = 100
Step-by-step explanation:
As shown in the table, you have: x + y = 160
Otherwise, you have x:y = 3:5 or x = 3y/5
=> 3y/5 + y = 160
or 8y/5 = 160
or y/5 = 20
or y = 20*5 = 100
=> x = 160 - y = 160 - 100 = 60
=> x = 60 and y = 100
How many cubes are needed to build this figure?
Answer:
3 cubes are needed are needed to build the figure
if tom spins the spinner 80 times work out an estimate for the number of times the spinner will land on 3 please help me
Answer:
The estimated number of times the spinner will land on 3 is 20.
Step-by-step explanation:
The complete question is:
A four-sided spinner is provided. If Tom spins the spinner 80 times then work out an estimate for the number of times the spinner will land on 3.
Solution:
Assume that the four-sided spinner is unbiased.
That is all the four outcomes are equally likely to be selected.
The probability that the spinner lands on any of the four numbers is:
P(1) = P (2) = P (3) = P (4) = 0.25
It is provided that Tom spins the spinner n = 80 times.
The spinner can land on any of the four numbers independently.
The random variable X, defined as the number of times the spinner lands on 3, follows a Binomial distribution with parameters n = 80 and p = 0.25.
The expected value of X is:
[tex]E(X)=np[/tex]
[tex]=80\times 0.25\\=20[/tex]
Thus, the estimated number of times the spinner will land on 3 is 20.
Please help me I posted this 10 times and no one helped me they were saying how I was so dumb
Answer:
Just count the unit squares
Step-by-step explanation:
If you learn this they may call u dumb but if your beginner then count the squares
Need help ASAP please
Answer:
-6,6
Step-by-step explanation:
x^2=36
6*6=36
-6*-6=36
heeeeeeeeeeeeeeeeelp
Answer:
230 cm squared
Step-by-step explanation:
Split the shape into a triangle and a rectangle
The area of a triangle is base x height / 2
20 x 9= 180/2= 90 (9 because you do 16-7 to find height of triangle)
Find the area of the rectangle=
7 x 20= 140
Add them up
140+90= 230cm squared
I hope this helped :)
Answer:
230 cm squared
Step-by-step explanation:
6x + 1 ≥ 13 can u please solve this please i am stuck on it
Answer:
x ≥ 2
Step-by-step explanation:
Step 1: Isolate x
6x ≥ 12
Step 2: Divide both sides by 6
x ≥ 2
And we have our answer!
Answer:
x ≥ 2
Step-by-step explanation:
6x+1 ≥ 13
Subtracting both sides by 1
6x ≥ 13-1
6x ≥ 12
Dividing both sides by 6
=> x ≥ 2
can someone help please
Hi can anyone help me with this question
Answer:
12000 liters.
Step-by-step explanation:
The depth of the oil in the tank is 1.2 m.
The height of the oil is 1.2 m.
Length is 5 m and width is 2 m.
The volume of a rectangular prism is l×w×h.
5×2×1.2
= 12
The volume of the oil in the tank is 12 m³.
1 m³ = 1000 liters
12×1000 = 12000 liters.
The quantity of oil in the tank is 12000 liters.
What is the greastest number of acute angles that a triangle can contain?
Answer:
3 acute angles.
Step-by-step explanation:
Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.
An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.
How can we investigate complementary and supplementary angles?
Step-by-step explanation:
Supplementary angles are two angles whose sum of the measurements is 180°. Complementary angles are two angles whose sum of the measurements is 90°. Once an angle relationship is identified, the relationship can be modeled with an equation that will find an unknown value.
suppose f(x)=x^2-4.Find the graph of f(3x)
Answer:
3(x²-4) or 3x²-12
Step-by-step explanation:
x²-4 times 3 is equal to 3x-12 which is also 3(x²-12)
Homework help, no need to explain answer
Answer:
Square each side
Subtract 1 from each side
Divide by 3
Step-by-step explanation:
sqrt(3x+1) = 4
Square each side
(sqrt(3x+1))^2 = 4^2
3x+1 = 16
Subtract 1 from each side
3x+1-1 = 16-1
3x= 15
Divide by 3
3x/3 = 15/3
x = 5
Hi can you help me with this question
Answer:
68 m²
Step-by-step explanation:
The area of the lawn is calculated as
area of garden - area of flower bed - area of vegetable patch
Calculating the area of each
area of rectangular garden = 14 × 10 = 140 m²
area of flower bed = [tex]\frac{1}{2}[/tex] × 3 × 8 = 12 m²
area of vegetable patch = [tex]\frac{1}{2}[/tex] × 10 × (5 + 7) = 5 × 12 = 60 m²
Thus
area of lawn = 140 - 12 - 60 = 68 m²
what is the slope of the graph
Answer:
-1/3
Step-by-step explanation:
the slope is always run over rise.
In this case we ran 1 spot to the right from where the line crosses the y axis and then 3 down.
so that gives us 1/3 but since the line is negative, the slope is also negative
Your lawn mower mows a lawn in 1.5 hours. When your friend's lawn mower is used together with your lawn mower, the lawn is mowed in 0.5 hours. How long (in hours) does it take your friend's mower to mow the lawn when working alone?
Answer:
My friend's mower will take approximately 0.75 h to mow the lawn alone.
Step-by-step explanation:
To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:
[tex]speed = \frac{distance}{time}[/tex]
Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:
[tex]x = \frac{lawn}{1.5}[/tex]
When my friend's mower does the job, its speed "y" can be seen as:
[tex]y = \frac{lawn}{time}[/tex]
When both work together the speed can be seen as:
[tex]x + y = \frac{lawn}{0.5}[/tex]
Applying the first two equations on the second, gives us:
[tex]\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75[/tex]
My friend's mower will take approximately 0.75 h to mow the lawn alone.
Fred spent 1 ¼ hours studying for his exam. He spent ¼ of this time studying for measurement, how many hours did Fred spend studying for measurement? *
What is the inverse of the logarithmic function f(x)= log2x.
Answer:
the inverse is :10^x/2
Step-by-step explanation:
f(x)= log2x.
f^-1(x)=10^x/2
-67/50 + 1.5 - 100% =
Need help!
Answer:
-0.84
Step-by-step explanation:
hope ths helps i did the test btw :)
If it were two hours later,it would be half as long until midnight as it would be if it were an hour later. what time is it now. please could you help me with this as soon as possible.
Answer:
its 10 am I think
Step-by-step explanation:
it says 2 hours until midnight. 12 - 2 = 10
Answer:
its 10 am
Step-by-step explanation:
12 - 2 = 10
Which statement is NOT true?
Answer:
A, a rhombus has all the properties of a square.
Step-by-step explanation:
Not all quadrilaterals will be the same
which is not an equation of the line going through (6 7) and (2 -1)
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just did it
Simplify 16-3(8-3)^2÷5
Answer:
1
Step-by-step explanation:
PODMAS:-
16-3(8-3)²/5
=16-3(5)²/5
=16-3(25)/5
=16-3(5)
=16-15
= 1
Answer:
65
Step-by-step explanation:
=> [tex]\frac{16-3(8-3)^2}{5}[/tex]
=> [tex]\frac{13(5)^2}{5}[/tex]
=> [tex]\frac{13(25)}{5}[/tex]
=> 13 × 5
=> 65
At the beach, 20% of people have white towels and 58% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer: 22%
Step-by-step explanation: First, you have to add the percetages of the white and blue towels.
20+58=78
Now, you can simply subtract 78% from 100% to get your answer, 22%
In a lottery, the top cash prize was $693 million, going to three lucky winners. Players pick four different numbers from 1 to 51 and one number from 1 to 48. A player wins a minimum award of $ 400 by correctly matching two numbers drawn from the white balls (1 through 51) and matching the number on the gold ball (1 through 48). What is the probability of winning the minimum award?
Answer:
0.00054
Step-by-step explanation:
Gold ball: we have one chance of choosing the correct ball from 1 to 48, so the probability is 1/48
White balls: we will pick 4 numbers from 1 to 51, so the total possibilities of groups of numbers we can choose is a combination of 51 choose 4:
C(51, 4) = 51! / (4! * 47!) = 51*50*49*48/(4*3*2)
If we want to correctly guess two numbers, we have groups of 2 winning numbers in the 4 numbers we guess, so a combination of 4 choose 2, and we also have to incorrectly guess the other 2 winning numbers in the 47 remaining numbers we didn't choose, so a combination of 47 choose 2:
C(4, 2) = 4! / (2! * 2!) = 4*3/2 = 6
C(47, 2) = 47! / (2! * 45!) = 47*46/2
The probability of the white balls case is the two combinations above over the total number of cases (the first combination we calculated):
P = C(4, 2) * C(47, 2) / C(51, 4)
P = (6 * 47 * 46/2) / (51 * 50 * 49 * 48/(4*3*2))
P = (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.026
Then the final probability is the probability in the gold ball case times the probability in the white balls case:
P = (1/48) * (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.00054
You have a 90% as your grade and on your final you get 80%. Your current grade is 20%of your grade and your final is 80% of your grade. What percent for your grade would you get in the end?
Answer:
82%
Step-by-step explanation:
(20×90+80×80) / (20+80) = 8200 / 100 = 82.00