Answer:
The answer is 570 ft below sea level
Step-by-step explanation:
Ascends 150 ft: 400 - 150 = 250 ft
Descends 320 ft: 250 + 320 = 570 ft
The solution of the system of equations is (6 , -7)
Step-by-step explanation:
There are two method to solve the system of equations
- Elimination method: we make the coefficients of one variable in the two equations have same values and different signs, then we add the two equations to eliminate this variable and have an equation of other variable, we solve it to find the other variable, then substitute the value of this variable in one of the two equations to find the first variable
- Substitution method: We use one of the two equations to find one variable in terms of the other, then substitute it in the second equation to have an equation of the other variable, we solve it to find the other variable, then substitute the value of this variable in the equation of the first variable
Let us use the elimination method with your problem
∵ 3x + 2y = 4 ⇒ (1)
∵ 3x + 6y = -24 ⇒ (2)
- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs
∵ -3x - 2y = -4 ⇒ (3)
- Add equations (2) and (3)
∴ 4y = -28
- Divide both sides by 4
∴ y = -7
Substitute value of y in equations (1) OR (2) to find x
∵ 3x + 2(-7) = 4
∴ 3x - 14 = 4
- Add 14 for both sides
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
The solution of the system of equations is (6 , -7)
<em>I hope this explanation help you</em>
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Answer:
what do we need to do with number 15
Step-by-step explanation:
Answer: A is correct option .It is possible for two points to have the same x-coordinate and the same y-coordinate.
Step-by-step explanation:
A scatter plot is a mathematical diagram or 2-dimensional data visualization using Cartesian coordinates to display values for two variables for a set of data by using dots to represent the values occurred for two different variables - one plotted along the x-axis and the other plotted along the y-axis. They show how variables are correlated thats why they are also called correlation plot. For example we have scatter plot with variables as study time and exam grade, so it can happen that 2 students study for same time and got same grade.
Therefore, It is possible for two points to have the same x-coordinate and the same y-coordinate.
f(x)=2x^2+0x-5
Find the vertex
0/4=0=x
Input x into the equation to find y or f(x)
0+0-5=f(x)
(0,-5) = Vertex
Now find a random x coordinate to input into the equation.
Let's do 4.
32+0-5=f(x)=27
It may not look like a parabola due to it being uneven.
