Step-by-step explanation:
..........................
which best describes your ability determine best method for solving a system of linear equations
The best method for solving a system of linear equations is the substitution method.
What is a system of equations?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.
We have been given the system of the equations as;
y = -2x + 2
y = 4x + -4
Thus, y = -2 x + 2 ........ equation number 1
y = 4 x - 4.............. equation number 2
Then substitute equation number 2 in equation number 1
4 x - 4 = -2 x + 2
4 x + 2 x = 2 +4
6 x = 6
so, x = 1
Now substitute x= 1 in equation number 2;
Therefore y =( 4 × 1) - 4
y = 4 - 4 = 0
For x = 1 and y = 0
Hence, the best method for solving a system of linear equations is the substitution method.
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The complete question is;
which best describes your ability to determine the best method for solving a system of linear equations. Then solve the system.
y = -2x + 2
y = 4x + -4
Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś
Answer:
X | y
---------------
-2 | 3
-1 | 0
0 | -3
1 | -6
A researcher uses a random number generator to simulate the results of an experiment. Which of the following assignments of
random digits is appropriate for its experimental design?
A. let 0,2,4,6,8 represent selecting a face card (King, Queen, Jack) and 1,3,5,7,9 represent a non-face card in the selection of one card from a well-
shuffled 52-card deck of cards
B. let 0,1,2,3,4,5 represent flipping a heads on a fair coin and 6,7,8,9 represent flipping a tails with a fair coin
C. let 4 represent rolling a 4 on a fair 6-sided die and 0,1,2,3,5,6,7,8,9 represent not rolling a 4 on a fair 6-sided die
D. let 1,3,5,7, and 9 represent flipping a heads with a fair coin, and 0,2,4,6, and 8 represent flipping a tails with a fair coin.
The correct assignment of digits is D. let 1,3,5,7, and 9 represent flipping heads with a fair coin, and 0,2,4,6, and 8 represent flipping tails with a fair coin, as the probability of heads and tails is 1/2, and that of the assigned digits is 1/2.
In the question, we are given that a researcher uses a random number generator to simulate the results of an experiment and are asked for the appropriate assignment of random digits for its experimental design.
For the assignment to be correct, the probability of the random numbers must be equal to the probability of the experiment.
We analyze each option:
A. let 0,2,4,6,8 represent selecting a face card (King, Queen, Jack) and 1,3,5,7,9 represent a non-face card in the selection of one card from a well-shuffled 52-card deck of cards. The probability of a face card is 3/13, whereas the probability of an assigned digit is 5/10 = 1/2, which implies improper assignment.B. let 0,1,2,3,4,5 represent flipping heads on a fair coin and 6,7,8,9 represent flipping tails with a fair coin. The probability of getting heads is 1/2, whereas the probability of an assigned digit is 6/10 = 3/5, which implies improper assignment.C. let 4 represent rolling a 4 on a fair 6-sided die and 0,1,2,3,5,6,7,8,9 represent not rolling a 4 on a fair 6-sided die. The probability of rolling a 4 on a fair 6-sided die is 1/6, whereas the probability of assigned digits is 1/10, which implies improper assignment.D. let 1,3,5,7, and 9 represent flipping heads with a fair coin, and 0,2,4,6, and 8 represent flipping tails with a fair coin. The probability of heads and tails is 1/2, and that of the assigned digits is 1/2, which implies proper assignment.Thus, the correct assignment of digits is D. let 1,3,5,7, and 9 represent flipping heads with a fair coin, and 0,2,4,6, and 8 represent flipping tails with a fair coin, as the probability of heads and tails is 1/2, and that of the assigned digits is 1/2.
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How many vertcies does this shape have ???
The Answer Is 8.
Hope this helps. ^^
Find the equation of the parabola with the following properties. Express your answer in standard form.
Symmetric with respect to the line y = 2
Directrix is the line x = 11
P = -3
The equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1
What is the equation of the parabola?To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.
Alternatively, we can use PF = PM to find the equation of the parabola.
vertex is half way between the focus and directrix
It's a downward opening parabola, general form
y= a(x-h)^2 + k
where (h,k) = vertex= (-3,-1)
plug in another point on the parabola to solve for a which gives
am answer with either x coefficient = -1'/4 or =4 Check the math.
one or the other is right another point is the y intercept = 9a-1
Another point is directly to the right of the focus (-1, -2) It's 2 down from the directrix and 2 to the right of the focus, equidistant. plug that point into y= a(x+3)^2 -1 and solve for "a"
-2 = a((-1+3)^2 -1
-2 = 4a -1
4a = -
a = -1/4
The parabola is y = (-1/4)(x+3)^2 -1
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ten minutes later airplane 2 lands with a rate of descent of -97/8 feet per second. which airplane had the fastest rate during its landing?
Airplane 1 had the fastest rate of descent during its landing.
To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.
Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:
-130 ft/s × 60 s/min = -7800 ft/min
Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:
(-97/8) ft/s × 60 s/min = -729.375 ft/min
Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:
-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)
Therefore, Airplane 1 had the fastest rate of descent during its landing.
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if a number is divided by an d minused from an another number
This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.
Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
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There are 4 boys and 2 girls from the 7th grade and 3 boys and 5 girls from the 8th grade on the soccer team. The coach will pick one captain from each grade. What is the probability that he will pick a boy from the 7th grade and a girl from the 8th grade?
Answer:
5/12
Step-by-step explanation:
P(b,7) = 4/6
P(g,8) = 5/8
4/6 x 5/8 = 20/48 (or 5/12 reduced)
What is -2.3 - ( 4.5 - 3 1/2)?
a) 2.3
b)-10.3
c) -3.3
d)-1.3
PLEASE HELP ME SOON!!!!!
Answer:
-3.3 (Choice 3)
Answer:
-3.3
Step-by-step explanation:
1/2=0.5 so 3+0.5=3.5
4.5-3.5=1 Brackets comes first because BIDMAS
-2.3-1= -3.3
Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13.
Write your answer as a fraction.
The tangent of the smaller acute angle is ____?_______
The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A right triangle with side lengths 5, 12, and 13.
tanФ = 5/12.
tanФ = 0.42.
Ф = tan⁻¹(0.42).
Ф = 22.8°.
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There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and received prizes. How many received prizes?
Please Answer In English
No link Kailangan ko na po ngayon!! :)
Answer:
8 pupils received prices
Step-by-step explanation:
20% of 40 = 8 (8 boys)
15% of 20 =3 (3 girls)
8+3 = 11
Answer:
21 pupils received the prizes.
Step-by-step explanation:
20% +15% =35%
35/100 of 60 =21.
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Jayda’s English teacher ordered 85 books that cost $14. Instead of the usual $2.50 shipping fee per book, Jayda’s teacher was offered a $17.99 fee for the entire order. How much did she save on shipping paying this single fee?
Answer:
194.51
Step-by-step explanation:
85x2.50=212.5
212.5-17.99=194.51
write each info entire radical √48
The value of the radical √48 is 4√3.
Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.
Here, we are given the radical √48
To find the value of the radical, we will factorize 48
i.e., 48 = 2×2×2×2×3
= 16×3
Now, the square root of 48, that is, √48
= \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)
We know 16 is a perfect square of 4, that is, the square root of 16= 4
⇒√16=4
Using this, we have √48= 4√3
The correct answer is 4√3.
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64 < Y Which value for y would make the inequality false? a) 88 b) 64 c) 71 d) 37
Answer
Both b) 64 d) 37 is your answer (If you meant Y is greater than or equal to 64 then only d would work).
Step-by-step explanation:
Key skills needed for understanding: Inequalities
1) The inequality says that Y > 64, which means that Y has to be higher than 64.
2) This means that Anything not higher than 64 would not work.
3) Based on what you typed, both b and d are possible answers. 64 is not bigger than 64, and 37 is not bigger than 64.
Therefore, b and d are both answers (so there might be a typo in the problem as it only asks for one answer).
Is the value of the first 5 ten times as great as the value of the second 5 in 5,045
Answer:
No
Step-by-step explanation:
Its 1000
please help
P (-∞ < z < ∞) =
The entire area is under the standard normal distribution curve, which is 1 by definition.
In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).
This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.
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It took sara mother 6 hours to drive to the university and bring Sarah back home for spring break
Answer:
6 hours
Step-by-step explanation:
If it took Sara's mother six hours to do that, it took six hours.
A function is defined as shown.f(x)=−3x+4What is the inverse of f(x)?
Given:
f(x) = -3x + 4
To find:
the inverse of the function
To determine the inverse, let y = -3x + 4
interchange x and y:
\(x\text{ = -3y + 4}\)Solve for y by making it the subject of formula:
\(\begin{gathered} subtract\text{ 4 from both sides:} \\ x\text{ - 4 = -3y + 4 - 4} \\ x\text{ - 4 = -3y} \end{gathered}\)divide both sides by -3:
\(\begin{gathered} \frac{x\text{ - 4}}{-3}\text{ = }\frac{-3y}{-3} \\ y\text{ = }\frac{x\text{ - 4}}{-3} \\ y\text{ = }\frac{x}{-3}\text{ -}\frac{4}{-3} \end{gathered}\)\(\begin{gathered} y\text{ = }\frac{-x}{3}\text{ + }\frac{4}{3} \\ \\ y\text{ = -}\frac{1}{3}x\text{ + }\frac{4}{3}\text{ } \\ \\ f^{-1}(x)\text{ = -}\frac{1}{3}x\text{ + }\frac{4}{3}\text{ \lparen third option\rparen} \end{gathered}\)graph the inaquality 16>_w
Answer:
A graph is below.
Step-by-step explanation:
Find the solution to the equations.
2х-у=-3
х+у=0
0,0
-1,1
1,-1
Answer:
Option B : ( - 1 , 1 ) ==> x = -1 , y = 1
Step-by-step explanation:
2x - y = - 3 -------- ( 1 )
x + y = 0 => x = - y -------( 2 )
Substitute ( 2 ) in ( 1 ) : 2x - y = - 3
2( - y ) - y = - 3
- 2y - y = - 3
- 3y = - 3
y = 1
Substitute y in ( 2) : x + y = 0
x + 1 = 0
x = - 1
Need help asap please
Answer:
58
Step-by-step explanation:
1) 6,875 28
In the problem above,
(estimate: 6,875 28 as 6,000 + 30 = 200).
After the first digit is placed in the hundreds place in the quotient and students have
divided, multiplied, subtracted, and compared, the student should bring down the 7.
Now, estimate 1270 28 and perform a second division (repeat).
1,270 28 is estimated as 1,200 + 30 = 40.
Students then divide, multiply, subtract, and compare the remainder to the divisor,
making sure it is smaller.
Finally, perform 115 -28, by estimating, dividing, multiplying, subtracting, and
comparing
After writing the remainder in the quotient, the division is complete.
What is the Quotient? Answer:
Answer:
?
Step-by-step explanation:
Solve for x to make A||B
Answer: x = 50
Step-by-step explanation:
In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.
At which angle will the hexagon rotate so that it maps onto itself ?
Answer:
There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°. Each subsequent rotation by 60° also maps a hexagon onto itself.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve for x.
2x + 9 = 33
A. x = 7.5
B. x = 12
C. x = 21
D. x = 84
Solve for x.
2x + 9 = 33
2x = 24
x = 12
A. x = 7.5
B. x = 12
C. x = 21
D. x = 84
Answer:
\(2x + 9 = 33 \\ 2x = 33 - 9 \\ 2x = 24 \\ x = \frac{24}{2} \\ x = 12\)
7. Two measures of two angles of a triangle are 68° and 70°. Explain how to find the measure of the third angle.
+
What is the quotient when (10n^2 - 37n - 12) is divided by (n - 4)
Using polynomial long division:
(10n^2 - 37n - 12) divided by (n - 4) is
10n+3,
which is number four-Hunter
Ana works 25 hours a week at the library. If she is paid $10 an hour, and her net salary each week is $212.50, what percent of her salary is withheld for taxes?
Approximately 17.65% of Ana's salary is withheld for taxes.
To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.
Number of hours worked per week (H) = 25 hours
Hourly wage (W) = $10
Net salary (S) = $212.50
Calculate the total earnings before taxes:
Total earnings = Hours worked * Hourly wage
Total earnings = 25 hours * $10/hour
Total earnings = $250
Determine the amount of tax withheld:
Tax withheld = Total earnings - Net salary
Tax withheld = $250 - $212.50
Tax withheld = $37.50
Calculate the percentage of salary withheld for taxes:
Percentage withheld = (Tax withheld / Net salary) * 100
Percentage withheld = ($37.50 / $212.50) * 100
Percentage withheld ≈ 17.65%
Therefore, approximately 17.65% of Ana's salary is withheld for taxes.
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in a class the ratio of boys to girls is 3/2. if there are 12 boys in the class, how many girls are there?
Answer:
8
Step-by-step explanation:
3 times 4 is 12 and 2 times 4 is 8