Answer:
x = 10, y = 20
Step-by-step explanation:
Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.
z³ = 8 → z = 2
Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!
To find the values of x and y in the given geometric progression, we use the concept of a common ratio. By setting up equations based on the definition of a geometric progression, we can solve for x and y. In this case, x is 10 and y is 20.
To find the values of x and y in the given geometric progression, we need to identify the common ratio between the terms. In a geometric progression, each term is obtained by multiplying the previous term by the common ratio. Therefore, we have:
From the first equation, we can substitute x as 5 * r in the second equation:
5 * r * r = y
Then, we substitute y as 5 * r * r in the third equation:
5 * r * r * r = 40
Simplifying the equation, we get:
r^3 = 40/5 = 8
Taking the cube root of both sides:
r = 2
Substituting this value of r back into the equations, we find that x = 10 and y = 20.
#SPJ11
The solution to the system of linear equations is (0,2). The correct option is C.
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
It is given that in a coordinate grid with 2 lines. The first line labelled f(x) passes through (-3, 3), (0,2), and (3, 1). The second line labelled g(x)passes through the points at (-3, 0) and (0, 2).
Plotting the two lines by using the points on the graph. After plotting the points there will be two lines that will intersect at the point ( 0, 2 ). Then the solution of the equation is ( 0,2).
Therefore,the solution to the system of linear equations is (0,2). The correct option is C.
To know more about equations follow
#SPJ15
Answer:
(0, 2) or C
Step-by-step explanation:
Answer:
(D) 9 and 10
Step-by-step explanation:
Given the quotient: 38÷4
Since is greater than 9 but less than 10,
It therefore lies in between 9 and 10.
Solving an equation is likened to unwrapping a present because in both cases, you aim to uncover what's within by dealing with the outer layers systematically. Through an inverse process, you isolate the equation's variable and solve for it, just as the step-by-step unwrapping of layers reveals the gift within the package.
Unwrapping a present is a great way to understand the process of solving an equation. If you consider the equation itself as being 'wrapped' in different operations such as multiplication, division, addition, and subtraction, you can begin to 'unwrap' it by systematically dealing with these operations in reverse from the order of operations. This would be like when you unpack the present by undoing the tape, then the paper, then the box, or whatever other layers might be present.
To use a direct example, let's consider the equation 3x + 7 = 22. You start unwrapping by isolating for the term with the variable. This means you handle the operation that does not involve the variable first. So, subtract 7 from both sides of the equation to get 3x = 15. Next, you handle the multiplication operation by dividing both sides by 3 and solving for x, which would be 5 in this case. Just like unwrapping a present, we aim to get to the 'inside' or the root of the equation.
#SPJ12