ANSWER
The x-coordinate of the solution to the system of equations is 3.
EXPLANATION
The solution to the system of equations is the point of intersection of the straight lines that represents the given system.
From the graph the two straight lines intersected at:
(3,2)
Hence the solution to the system of equations is (3,2)
The x-coordinate of the solution to the system of equations is 3.
Answer:
The correct answer is B.
Step-by-step explanation:
Multiply the first equation by -7, and the second equation by 8, and then add.
What you're trying to do is cancel them out so they have to opposite signs in order for them to cancel out. You can't do that if the signs are the same, which is what option A suggests doing. B is the correct answer.
slope of a line that is perpendicular to the line y=-3x is 1/3
What is slope of line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tanθ.
y=-3x
tanθ=slope = y/x= -3
Slope(M) of this equation is -3
Let the slope of its perpendicular line is m
As we know that the product of the slopes of perpendicular lines is -1
so,
M*m =-1
-3 * m= -1
m=1/3
Learn about slope from the link below
brainly.com/question/6716094
#SPJ1
Answer: $6444.14 would be deposited quarterly
Step-by-step explanation:
We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as
S = R[{(1 + r)^n - 1)}/r][1 + r]
Where
S represents the future value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
S = $300000
r = 0.08/3 = 0.027
n = 3 × 10 = 30
Therefore,
300000 = R[{(1 + 0.027)^30 - 1)}/0.027][1 + 0.027]
300000 = R[{(1.027)^30 - 1)}/0.027][1.027]
300000 = R[{(2.224 - 1)}/0.027][1.027]
300000 = R[{(1.224)}/0.027][1.027]
300000 = R[45.33][1.027]
300000 = 46.55391R
R = 300000/46.55391
R = 6444.14
Answer:
m =
, b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Given
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide all terms by - 3 )
y =
x - 2 ← in slope- intercept form
with slope m =
and y- intercept b = - 2