Solve the equation −3=8x−4y−3=8x−4y for y
Solve.
−1/2x ≥ −8 then Graph the solution
Louise runs the first half of a race at 5 miles per hour. then she picks up her pace and runs the last half of the race at 10 miles per hour. what is her average speed on the course?
The distance on a map is 4 1/8 inches. find the actual distance if the scale on the map is 20 inches= 40 miles.
The ordered pairs (1, 4), (2, 16), (3, 64), (4, 256), and (5, 1,024) represent a function. what is a rule that represents this function?
Final answer:
The rule that represents the given function with ordered pairs (1, 4), (2, 16), (3, 64), (4, 256), (5, 1,024) is f(x) = 4^(x-1), which is determined by observing the pattern of the ordered pairs.
Explanation:
Identifying the Rule of a Function
The ordered pairs (1, 4), (2, 16), (3, 64), (4, 256), and (5, 1,024) represent a function where each input from the domain is mapped to a unique output in the range. Observing the pattern of the ordered pairs, we can infer a rule that corresponds to this function. Each second element in the pair appears to be an exponentiation of 4 to the power of the first element minus one.
The general rule for this function can be expressed as f(x) = 4^(x-1). We can verify this by plugging in the values from the domain (1 through 5) into the function:
For x = 1, f(1) = 4^(1-1) = 4^0 = 1
For x = 2, f(2) = 4^(2-1) = 4^1 = 4
For x = 3, f(3) = 4^(3-1) = 4^2 = 16
For x = 4, f(4) = 4^(4-1) = 4^3 = 64
For x = 5, f(5) = 4^(5-1) = 4^4 = 256
Therefore, the rule representing this function is f(x) = 4^(x-1).
Given that 2004-02-03-02-00_files/i0160000.jpg is a median of /, find FG.
Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?
Q=p(r+s) solve for p
how to solve for sum of a quadratic roots if ratio of roots is given
I need the steps to this problem, please!
The formula V=I*W*H is used to find the volume of a rectangular prism,where V=volume,I=Length,W=Width,And H=height of a rectangular prism has a volume of 360 Cm3 and you know that the length is 9cm, and the width is 4cm,what is the height?
Select the correct answer answer below.
A.5cm
B.10cm
C.20cm
D.30cm
Can you guys help me please ?(:
Write an equation of a parabola with vertex at the origin and the given focus (1, 0)
What is the value of n? -6.5(n - 5) = 18.2
-6.5(n-5) = 18.2
-6.5n + 32.5 = 18.2
-6.5n = -14.3
n = -14.3 / -6.5 = 2.2
n = 2.2
An angle measures 24° more than the measure of a complementary angle. what is the measure of each angle?
The angle which is 24° more than the measure of its complementary angle is 66°.
What are complementary angles?Two angles whose sum is equivalent to 90 degrees are called complementary angles. Mathematically -
∠x + ∠y = 90°
Assume that the angle which is 24° more than the measure of its complementary angle be [x].
Then, we can write -
x + 24 = 90
x = 90 - 24
x = 66°
Therefore, the angle which is 24° more than the measure of its complementary angle is 66°.
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There are 38 pockets on an american roulette wheel: 18 red, 18 black, and 2 green. if you were to randomly spin an american roulette wheel, what is the probability that it would land on a green pocket
The probability of an American roulette wheel landing on a green pocket is 1/19, which is calculated by dividing the number of green pockets by the total number of pockets on the roulette wheel.
Explanation:The student is asking about the probability of a specific outcome in a random event, specifically, the likelihood of landing on a green pocket in an American roulette game. To find this probability, we need to look at the total number of pockets and how many of them are green. With 38 total pockets and 2 being green, the probability that the roulette wheel will land on a green pocket is calculated by the ratio of green pockets to total pockets.
To calculate it: Probability = Number of green pockets / Total number of pockets = 2 / 38 = 1/19
This simple division computes the likelihood of a single spin resulting in a green pocket landing. Importantly, this calculation assumes each pocket has an equal chance of being landed on and that there are no biases in the wheel.
4x+3=x+15 Which statement correctly explains why this equation has only one solution? Answer Choices The equation is true only when x=4 . The equation is true for all the values of x . The equation is true for no values of x . The equation is true only when x=−4 .
A pipe is 10 ft long. It need to be cut into pieces that are each 2/5 feet long. How many pieces can be made from the pipe?
Deon caught a 4 3/4 pound fish how much it weigh in ounces
Write the ratio
three sevenths
3
7
to
6 as a fraction in simplest form.
How to solve equations with 2 variables step by step?
Two step algebraic equations are relatively quick and easy -- after all, they should only take two steps. To solve a two step algebraic equation, all you have to do is isolate the variable by using either addition, subtraction, multiplication, or division. If you want to know how to solve two step algebraic equations in a variety of ways, just follow these steps.
1. Write the problem. The first step to solving a two step algebraic equation is just to write the problem so you can start to visualize the solution. Let's say we're working with the following problem: -4x + 7 = 15.
2. Decide whether to use addition or subtraction to isolate the variable term. The next step is to find a way to keep "-4x" on one side and to keep the constants (whole numbers) on the other side. To do this, you'll have to do the "Additive Inverse," finding the opposite of +7, which is -7. Subtract 7 from both sides of the equation so that the "+7" on the same side as the variable term is canceled out. Just write "-7" below the 7 on one side and below the 15 on the other so the equation remains balanced. Remember the Golden Rule of Algebra. Whatever you do to one side of an equation must be done to the other side to maintain the balance. That is why 7 is subtracted from the 15 as well. We only need to subtract 7 once per side, which is why the 7 is not subtracted from the -4x as well.
3. Add or subtract the constant on both sides of the equation. This will complete the process of isolating the variable term. Subtracting 7 from +7 on the left side of the equation will leave no constant term (or 0) on the left side of the equation. Subtracting 7 from +15, on the right side of the equation, will leave you with 8. Therefore, the new equation is -4x = 8. -4x + 7 = 15 =-4x = 84. Eliminate the coefficient of the variable through division or multiplication. The coefficient is the number attached to the variable. In this example, the coefficient is -4. To remove the -4 in -4x, you'll have to divide both sides of the equation by -4. Right now, the x is being multiplied by the -4, so the opposite of this operation is division and you'll have to do it on both sides. Again, whatever you do to the equation must be done to both sides. That is why you see ÷ -4 twice.5.Solve for the variable. To do this, divide the left side of the equation, -4x, by -4, to get x. Divide the right side of the equation, 8, by -4, to get -2. Therefore, x = -2. You've taken two steps -- subtraction and division -- to solve this equation.To solve two-variable equations, identify unknowns, find related equations, substitute known values, and solve for one variable before finding the other. Use substitution or elimination methods in case of a system of equations.
To solve equations with 2 variables, follow these steps:
Identify the unknowns: Determine what you need to find.Find a set of equations that relate the unknowns.Substitute known values into the equations, ensuring unit consistency.Combine equations and isolate one variable to solve for it.Use the solved variable to find the other unknown in one of the original equations.If necessary, make and note assumptions that simplify the equations—but be aware of their implications.Regarding a 2x2 system (two equations with two unknowns), you can either use substitution—solving one equation for one variable and then substituting into the other—or elimination—adding or subtracting equations to cancel one of the variables. If an equation has more than one unknown, additional equations are necessary to solve the system.
For instance, consider a pair of equations:
1) x + y = 10
2) x - y = 6
By adding these two equations, y is eliminated, and we can solve for x quickly. Then, we can substitute the value of x into either equation to solve for y.
help me plz it will be on the exam! Pedro and Bobby each own an ant farm. Pedro starts with 100 ants and says his farm is growing exponentially at a rate of 15% per month. Bobby starts with 350 ants and says his farm is steadily decreasing by 5 ants per month.
Assuming both boys are accurate in describing the population of their ant farms, after how many months will they both have approximately the same number of ants?
Final answer:
To find the month when Pedro's exponentially growing ant farm and Bobby's linearly decreasing ant farm have the same number of ants, we set the exponential growth formula equal to the linear decrease formula and solve for the number of months, using graphical or numerical methods.
Explanation:
We need to determine after how many months Pedro's exponentially growing ant farm will have the same number of ants as Bobby's linearly decreasing ant farm.
Let's denote the number of months as m. Pedro's ant farm starts with 100 ants and grows at a rate of 15% per month, so the population at month m is PPedro = 100 × (1 + 0.15)m.
Bobby's ant farm starts with 350 ants and decreases by 5 ants per month, so the population at month m is PBobby = 350 - 5m.
We need to find the month m where PPedro is approximately equal to PBobby. This can be solved by equating and solving the two expressions:
100 × (1 + 0.15)m ≈ 350 - 5m
To solve this, we can use either graphical methods or numerical methods such as iterative approximation, since an exact solution may not be possible through algebraic methods. We are looking for the value of m that makes both sides approximately equal.
he coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).
What is the perimeter of the polygon to the nearest tenth of a unit?
Answer:
16.9
Step-by-step explanation:
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
Since the value is squared, the sign of the difference doesn't matter. It can be easier to write it as always positive, so in some cases it may be Δx = x₂-x₁ and in other cases it might be Δx = x₁-x₂, for example.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9
identify the like terms 12c,d,c,-2c,4d
A card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a black card.
what is the value of x
(40x+15)
135
By setting up the proportion [tex]\(\frac{15}{x} = \frac{x}{135}\)[/tex] and solving for [tex]\( x \)[/tex], we find that [tex]\( x = 45 \).[/tex]
To find the value of [tex]\( x \)[/tex] when the terms 15, [tex]\( x \)[/tex], and 135 are in proportion, we set up the proportion:
[tex]\[\frac{15}{x} = \frac{x}{135}\][/tex]
This represents the relationship where the first ratio is equal to the second ratio. Cross-multiplying, we get:
[tex]\[15 \times 135 = x \times x\][/tex]
[tex]\[2025 = x^2\][/tex]
Taking the square root of both sides, we find:
[tex]\[x = \sqrt{2025}\][/tex]
[tex]\[x = \pm 45\][/tex]
However, since 15, x , and 135 are in proportion, the value of x must be positive. Therefore, x = 45 .
The question probable maybe:
If the three terms 15, x and135 are in proportion then what is the value of x
Given a = {1, 2, 3, 4, 5, 6, 7, 8, 9} and b = {2, 4, 6, 8} what is AUB?
exTrA cREdiT BOnuS pOiNTS
Nine less than a number is no more than 8 and is no less than 3
Please Help. Please Explain your Answer
The average speed in miles per hour for the entire trip of Emily is 38 miles per hour.
The correct answer is Option D.
Given data:
To find Emily's average speed during her entire trip, calculate the total time she spent traveling on both the highway and local roads.
To determine the speed on the highway.
On the highway, she traveled 30 miles faster than on the local roads, and her speed on the local roads is 20 miles per hour.
Speed on the highway = Speed on the local roads + 30 miles per hour
Speed on the highway = 20 miles per hour + 30 miles per hour
Speed on the highway = 50 miles per hour
Now, calculate the time spent on each segment of the trip:
Time spent on the highway = Distance on the highway / Speed on the highway
Time spent on the highway = 60 miles / 50 miles per hour
Time spent on the highway = 1.2 hours
Time spent on local roads = Distance on local roads / Speed on local roads
Time spent on local roads = 16 miles / 20 miles per hour
Time spent on local roads = 0.8 hours
Now, add the times for both segments to get the total time:
Total time = Time spent on the highway + Time spent on local roads
Total time = 1.2 hours + 0.8 hours
Total time = 2 hours
So, the average speed is determined as:
Average speed = Total distance / Total time
Average speed = (60 miles + 16 miles) / 2 hours
Average speed = 76 miles / 2 hours
Average speed = 38 miles per hour
Hence, Emily's average speed during her entire trip was 38 miles per hour.
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ANYONE KNOW ACCOUNTING???