Solve this system of equations by graphing. First graph the equations, and then type the solution.
Answers
According to question,
Given data,
2x-3y=-12……… (1)
Y=-5x/3-3……… (2)
3y= -5x-9………… (3)
Solving the equation,
(1) and (3)
5x-3y=-9
2x-3y=-12
To solve both equation
3x=3
x=1
the value of x, putting equation 1
5x-3y= -9
5×1-3y=-9
5-3y=-9
-3y=-9-5
-y=-14
y=14/3
y=4.6
the value of x=1 and y=4.6
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Q-find the greatest common factor.ab4c7,a7b4c.
We know that,
Greatest common factor= the greatest common factor is the greatest factor that divides both numbers.
According to question.
Given data,
Factor of a= a
Factor of b=b× b× b× b
Factor of c=c× c× c× c× c× c× c
Therefore,
Factor of a=a× a× a× a× a ×a ×a
Factor of b4=b ×b ×b× b
Factor of c=c
Greatest common factor=ab4c
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Related Questions
The probability that June wins in a raffle is given by the expression p . Write down an expression for the probability that June does not win
Answers
Answer:
1 - p
Step-by-step explanation:
Given
\(Winning = p\)
Required
Determine the probability of not winning
To do this, we apply the complement rule which is:
\(Not\ Winning = 1 - Winning\)
Substitute p for Winning
\(Not\ Winning = 1 - p\)
Hence, the expression that June does not win is: 1 - p
Xavier makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of his conjecture?.
Answers
The correct option A: Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
Explain the term even integer?Odd numbers cannot be divided by two exactly, whereas even numbers were integers that can be divided by two exactly. Even number examples include 2, 6, 10, 20, 50, etc.The statement made by Xavier that the product of two odd integers always results in an even integer should be noticed.
For the given case, conjecture that the sum of two odd integers is always an even integer is -
Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.To know more about the even integer, here
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The complete question is-
Xavier makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of his conjecture?
Select option;
A: Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
B: Look at these different examples: 3 + 5 = 8, 13 + 5 = 18, 23 + 5 = 28. So the sum of two odd numbers must be even.
C: Let a and b both represent odd numbers, and let a + b be an even number. Therefore, a + b = b + a, which shows that the sum of two odd numbers is even.
D: Every time you add two odd numbers, the sum is an even number.
Can someone please help me
p.s. round to the nearest tenths
Answers
Answer:
Apothem:
radius is the same length as the base/length of each side of the hexagon.
r = 8
use pythagorean theorem to calculate the apothem
\(4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928\)
≈ 6.9
Area
\(A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7\)
A bank account that allows your to access your money quickly and easily is called: a:deposit
b:free
c:joint
d:"liquid
Answers
Answer:
D. Liquid
Step-by-step explanation:
A liquid bank account is a bank account that allows you to withdraw and deposit money easily without any penalties.
A deposit bank account is your standard checking account.
There is no such thing as a "free" bank account (it's not a type of bank account).
A joint bank account is a bank account shared by 2 or more people.
Pls help me with this math
Answers
Answer:pi^4
Step-by-step explanation:
When you divide exponents, you subtract them. So you would subtract 11-7=4. The exponent would be 4 and base would be ok. Brainlist please!
Mallory was driving 70 miles per hour and has a stopping distance of 245 feet. What is the value of the constant of proportionality k?
Answers
Answer:
a
Step-by-step explanation:
72,64,145
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
Answers
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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we are interested in the proportion of 100 college graduates who believe their degree was a good investment. Note that the proportion is a random variable. Thus it has a distribution. What type of distribution is it
Answers
The type of distribution for the proportion of 100 college graduates who believe their degree was a good investment is a binomial distribution.
A binomial distribution is used to describe the outcome of a binomial experiment. A binomial experiment is one that satisfies the following four conditions:
1. The experiment consists of n repeated trials.
2. Each trial results in an outcome that may be classified as a success or a failure (hence the name, binomial).
3. The probability of a success, denoted by P, is the same on every trial.
4. The trials are independent; that is, the outcome of one trial does not influence the outcome of any other trial. In this case, the binomial experiment is the number of college graduates who believe their degree was a good investment out of a sample size of 100.
Each graduate can be classified as either a success (believes their degree was a good investment) or a failure (does not believe their degree was a good investment).
The probability of success is not specified, but it is assumed to be constant across all graduates. The trials (graduates) are also assumed to be independent of each other.
Therefore, the proportion of graduates who believe their degree was a good investment follows a binomial distribution.
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Problem Solving 13. Joanne bought three books that cost $3.95, $4.99, and $6.05. How much did she spend in all? Use compensation and mental math to find the sum. 7 spent ? $3.95 $4.99 $6.05
Answers
we can add two numbers first
\(\begin{gathered} 3.95 \\ 4.99 \\ ------ \\ 8.94 \end{gathered}\)now we add the result with the following number
\(\begin{gathered} 8.94 \\ 6.05 \\ ------ \\ 14.99 \end{gathered}\)the total of books cost $14.99
If f(x)=2/3x+1, find f(-6)
Answers
Answer: -3
Step-by-step explanation: f(-6) =2/3(-6) + 1= -12/3 + 1 = -4 + 1 = -3
Solve the following system of linear equations by addition. Indicate whether thegiven system of linear equations has one solution, has no solution, or has an infinitenumber of solutions. If the system has one solution, find the solution.s 4x + y = - 23| 7x + 7y = 7Answer 2 PointsKeypadKeyboard ShortcutsSelecting an option will enable input for any required text boxes. If the selected optiondoes not have any associated text boxes, then no further input is required.O One SolutionO No SolutionO Infinite Number of Solutions
Answers
Given:
\(\begin{gathered} 4x+y=-27 \\ 7x+7y=7 \end{gathered}\)Find : Solution and number of solution.
Sol:.
\(\begin{gathered} 4x+y=-27\ldots\ldots\ldots\ldots\text{.}(1) \\ 7x+7y=7\ldots\ldots\ldots\ldots\ldots\text{.}(2) \end{gathered}\)Subtract the equation (2) to 7 times of equation (1)
\(\begin{gathered} 7(4x+y)=-27\times7 \\ 28x+7y=-189 \end{gathered}\)\(\begin{gathered} eq(2)-eq(1) \\ 7x+7y-(28x-7y)=7-(-189) \\ -21x=196 \\ x=\frac{196}{-21} \\ x=-9.33 \end{gathered}\)\(\begin{gathered} 7x+7y=7 \\ 7(-9.33)+7y=7 \\ -65.33+7y=7 \\ 7y=72.33 \\ y=\frac{72.33}{7} \\ y=10.33 \end{gathered}\)So here only one solution i.e. (-9.33,10.33)
PLEASE HURRY!! Find the inequality represented by the graph
Answers
Answer:
The inequality represented by the graph is y > \(\frac{1}{2}\) x + 2
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where
(x1, y1) and (x2, y2) are two points on the lineFrom the given figure
∵ The line passes through points (0, 2) and (2, 3)
∴ x1 = 0 and y1 = 2
∴ x2 = 2 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m = \(\frac{3-2}{2-0}\) = \(\frac{1}{2}\)
∴ m = \(\frac{1}{2}\)
→ b is the value of y at x = 0
∵ At x = 0, y =2
∴ b = 2
→ Substitute the value of m and b in the form of the equation above
∵ y = \(\frac{1}{2}\) x + 2
∴ The equation of the line is y = \(\frac{1}{2}\) x + 2
∵ The line is dashed
∵ The shaded area is over the line
∴ The sign of inequality is >
→ Replace = in the equation by >
∴ y > \(\frac{1}{2}\) x + 2
∴ The inequality represented by the graph is y > \(\frac{1}{2}\) x + 2
(Dataset: states. Variables: defexpen, state.) Here is the conventional political wisdom: Well-positioned members of Congress from a handful of states are successful in getting the federal government to spend revenue in their states-defense-related expenditures, for example. The typical state, by contrast, receives far fewer defense budget dollars. 1. Suppose you measured the amount of defense-related expenditures in each state. The conventional wisdom says that, when you look at the amount of defense-related expenditures in the United States, a few states would have a high amount of defense spending. Most states, however, would have lower values on this variable. If the conventional wisdom is correct, the distribution of defense- related expenditures will have (circle one) a a. negative skew. b. no skew. c. a positive skew.
Answers
According to the conventional wisdom, defense-related expenditures in the United States are expected to have a positive skew, with a few states receiving a high amount of spending and most states receiving lower amounts.
The conventional wisdom suggests that a small number of states are well-positioned to influence the allocation of federal defense spending and are successful in securing higher amounts of defense-related expenditures. These states may have influential members of Congress who advocate for their interests, such as by supporting military bases, defense contracts, or research facilities within their constituencies. As a result, these states receive a larger share of the defense budget compared to the majority of states.
In terms of statistical distribution, a positive skew occurs when the tail of the distribution extends towards higher values. In the context of defense-related expenditures, a positive skew would indicate that there are relatively few states with a disproportionately high amount of spending, while the majority of states have lower levels of defense expenditures. This distribution pattern aligns with the conventional wisdom mentioned in the question. Therefore, the answer is (c) a positive skew.
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martina must choose a number between 49 and 95 that is multiple of 2,8 and 10. write all the numbers that she could choose.
Answers
Answer:
80
Step-by-step explanation:
10 limits it to 50, 60, 70, 80, and 90
2 eliminates none since 50=25, 60=30, 70=35, 80=40 and 90=45
8 divided by each number only leaves one option of 80. (80/8= 10) (80/10=8) (80/2=40)
The length of an edge of a cube is 5 inches. What is the volume of the cube? Enter your answer in the box.
Answers
Answer:
125 cubed inches
Step-by-step explanation:
The length of the sides of a cube are all the same, since it’s just a 3D square. The formula for volume is length times width times height.
5*5*5=125
Calculate the simple interest
and the amount.
a) $500 invested at an annual
interest rate of 2% for 1 year
b) $2750 invested at an annual
interest rate of 3.5% for 4 years
c) $4500 invested at an annual
interest rate of 6.25% for
18 months
Answers
Answer:
$5063.75
Step-by-step explanation:
a) Simple Interest = Principal x Rate x Time = $500 x 2% x 1 = $10
Amount = Principal + Simple Interest = $500 + $10 = $510b) Simple Interest = Principal x Rate x Time = $2750 x 3.5% x 4 = $385
Amount = Principal + Simple Interest = $2750 + $385 = $3135c) Simple Interest = Principal x Rate x Time = $4500 x 6.25% x 18/12 = $563.75
Amount = Principal + Simple Interest = $4500 + $563.75 = $5063.75
Correct me if I’m wrong.
The test statistic of z equals 2.45 is obtained when testing the claim that p not equals 0.449. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find theP-value. c. Using a significance level of alphaequals 0.10, should we reject Upper H 0 or should we fail to reject Upper H 0?
Answers
The hypothesis test is two-tailed.
The P-value is the probability of obtaining a test statistic as extreme as the observed value (or even more extreme) under the null hypothesis. In this case, with a two-tailed test, we need to find the probability in both tails of the distribution. To find the P-value, we compare the test statistic to the critical values of the standard normal distribution. The P-value is the probability of observing a test statistic as extreme as 2.45 or more extreme in both directions.
Using a significance level of alpha equals 0.10, we compare the P-value to the significance level. If the P-value is less than the significance level, we reject the null hypothesis. If the P-value is greater than or equal to the significance level, we fail to reject the null hypothesis. In this case, if the P-value is less than 0.10, we reject the null hypothesis. If the P-value is greater than or equal to 0.10, we fail to reject the null hypothesis.
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The following algebraic expression is given: 1 xy + 5y + 2x + 10 2.1 What do you notice about all 4 terms?
Answers
Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression
w the slope of the line between the points, (x_(1),y_(1)) an The greater the absolute value of the slope, the steep ated by the change in y divided by the change in x. It di and which is the (x_(1),y_
Answers
The slope of a line between two points is calculated as the change in y divided by the change in x. The absolute value of the slope represents the steepness of the line.
The slope of a line between two points, (x₁, y₁) and (x₂, y₂), is calculated as the change in y divided by the change in x. The absolute value of the slope represents the steepness of the line, with a larger absolute value indicating a steeper line. The specific slope between the points (x₁, y₁) and (x₂, y₂) can be determined by evaluating (y₂ - y₁) divided by (x₂ - x₁).
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Can you solve how do you get 16, cause me confused :D
Answers
4x-48=x
4x-x=48
3x=48
x=16
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
A. Region C
B. Region B
C. Region A
D. Region D
Answers
calculate the average height above the x-axis of a point in the region 0≤y≤x2, for 0≤x≤25.
Answers
The average height above the x-axis of a point in the region \(0\leq y\leq x^2\), for 0≤x≤25 using definite integral is 208.33 units.
To calculate the average height above the x-axis of a point in the region \(0\leq y\leq x^2\), for 0 ≤ x ≤ 25, we need to find the average value of y over this range.
The equation y = x² represents a parabola that opens upwards. To find the average height, we need to integrate the function y = x² over the given range and then divide by the length of the range.
Let's calculate it step by step:
Calculate the definite integral of y = x² with respect to x over the range 0 to 25:
∫[0,25] \(x^{2}\) dx = \([x^3/3]\) evaluated from 0 to 25
\(= (25^3/3) - (0^3/3)\\= (25^3/3)\\= 16666.67\)
Calculate the length of the range:
Length = 25 - 0 = 25
Divide the definite integral by the length of the range to find the average height:
\(Average height = (25^3/3) / 25\\= (25^2/3)\\= 208.33\)
Therefore, the average height above the x-axis of a point in the region \(0\leq y\leq x^2\), for 0 ≤ x ≤ 25, is approximately 208.33 units.
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PLEASE HELP Reduce the fraction to lowest terms. K+7/4k+28
Answers
Answer:
1/4
Step-by-step explanation:
K + 7 / 4k + 28
The above expression can be simplified to its lowest term as follow:
K + 7 / 4k + 28
Factorise the denominator
(k + 7) / 4(k + 7)
Cancel out the common terms i.e (k + 7)
(k + 7) / 4(k + 7) = 1/4
Thus, (k + 7) / (4k + 28) in its lowest term is 1/4
The Woodman Firewood Company delivers natural firewood to homes in Manhattan,
They charge a certain amount per cord for firewood and a fixed amount for each delivery,
no matter how many cords are delivered. My bill from WFC last winter was $155 for one
cord of wood, and my neighbor's bill was $215 for one and one-half cords. What is the
charge for each cord of wood and what is the delivery charge?
Answers
Answer:
step by step and the dog got 10 fire wood
Find the general solution for the following differential equation using the method of undetermined coefficients d²y/dx - 36 y = cosh3x.
Answers
The general solution for the given differential equation is the sum of the complementary function and the particular solution:
\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)
where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.
We are given the differential equation: d²y/dx - 36y = cosh(3x).
In this case, the homogeneous equation is d²y/dx - 36y = 0.
The characteristic equation associated with the homogeneous equation is obtained by replacing the derivatives with their corresponding algebraic expressions. In our case, we have r² - 36 = 0. Solving this quadratic equation, we find the roots to be r = ±6.
Since the roots are distinct and real, the general solution for the homogeneous equation is given by:
\(y_h = C_1e^{6x} + C_2e^{-6x}\)
where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.
The term cosh(3x) can be written as a linear combination of exponential functions using the identities:
\(cosh(ax) = (e^{ax} + e^{-ax})/2, \\\\sinh(ax) = (e^{ax} - e^{-ax})/2.\)
Therefore, \(cosh(3x) = (e^{3x} + e^{-3x})/2.\)
Now, we assume the particular solution has the form:
\(y_p = A_1e^{3x} + A_2e^{-3x}\)
where A₁ and A₂ are undetermined coefficients.
Substituting these derivatives into the original differential equation, we get:
\((9A_1e^{3x} + 9A_2e^{-3x}) - 36(A_1e^{3x} + A_2e^{-3x}) = (e^{3x} + e^{-3x})/2.\)
To satisfy this equation, the coefficients of the exponential terms on both sides must be equal. Therefore, we have the following system of equations:
9A₁ - 36A₁ = 1/2,
9A₂ - 36A₂ = 1/2.
Solving these equations, we find A₁ = -1/70 and A₂ = -1/70.
Thus, the particular solution is:
\(y_p = (-1/70)e^{3x} + (-1/70)e^{-3x}\)
Finally, the general solution for the given differential equation is the sum of the complementary function and the particular solution:
\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)
where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.
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In Exercises 5-10, match the ordered pair with its point in the
coordinate plane. Name the quadrant (if any) that contains the point.
5. (1, -2)
y
6. (-2, 1)
7. (0, -3)
8.
9. (5,0)
10.
(1.4)
M
-3-2
1
O
45
K
C
2
3
N
45x
Answers
Answer: 5. 4th quadrant
6. 2nd quadrant
7. on negative y axis
9. on positive x axis
10. 1st quadrant
M - third quadrant
O - First quadrant
Step-by-step explanation:
The cube root of a number b is -8. What is the value of b?
Answers
Answer:
The answer is -512
Step-by-step explanation
8*8*8= 512 and the cube root of 512 is 8 and the cube root answer is negative so 512 is negative
Which metric unit would be best to measure the volume of water in a swimming pool?
Answers
Answer:
HEY!
your answer is
it would be best to use litres
this is because a litre is 1000 millilitres and a swimming pool is a large amount of water.
Step-by-step explanation:
hope this helps
pls put brainliest
Select the reason that best supports statement 3 in the given proof.
Answers
Statement Reason
m∠A ÷ 5 = m∠B 1. Given
m∠B = 20 2. Given
m∠A ÷ 5 = 20 3. Substitution
m∠A = 100 4. Multiplication property of equality
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
m∠A ÷ 5 = m∠B ____(1)
m∠B = 20 _____(2)
Substitute (2) in (1)
m∠A ÷ 5 = 20
m∠A / 5 = 20
Multiply 5 on both sides.
m∠A = 5 X 20
m∠A = 100
Thus,
Statement Reason
m∠A ÷ 5 = m∠B 1. Given
m∠B = 20 2. Given
m∠A ÷ 5 = 20 3. Substitution
m∠A = 100 4. Multiplication property of equality
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Mike purchases a $22,000 car and plans to pay back the loan by making monthly payments over the course of 5 years. The interest rate is 3%. Compute Mike’s monthly payments using the amortization formula.
$383.09
$395.32
$427.91
$442.63
Answers
the second one
$395.32
