Answer:
6
Step-by-step explanation:
(n- 1)(n)( n +1)=210
n(n²-1)=210
n³-n= 210
n³-n-210=0
let n = 6 => 6³-6-210 = 216-6-210 = 0 (true)
so, n = 6
Answer:
Sofias solution is correct.
Step-by-step explanation:
First of all you do not need two sets of the same equation.
y=-1.5x + 5.7
y = 0.5x + 0.3
If you graph the y-intercepts first then graph the slope for the equation then you will get the right answer.
1) Graph 5.7 on the y-axis. | Then graph -1.5x going down on the y-axis and then go to the right on the x-axis.
Do the same for the other equation and you will get a solution of (2.7, 1.65) since they will intersect there.
To check your answer use: https://desmos.com/calculator
<span>Simplifying
(2x + -7y ) = 0
Multiply
(2x + -7y) * (x + y) </span><span>
(2x * (x + y) + -7y * (</span><span>x + y)) = 0
</span>((x * 2x + y * 2x) + -7y * (x + y)) = 0<span>
</span>Reorder the terms:
((2xy + 2x2) + -7y * (x + y)) = 0
((2xy + 2x2) + -7y * (x + y)) = 0
(2xy + 2x2 + (x * -7y + y * -7y)) = 0
(2xy + 2x2 + (-7xy + -7y2)) = 0<span>
Reorder the terms:
(2xy + -7xy + 2x2 + -7y2) = 0
</span>
<span>Combine like terms: 2xy + -7xy = -5xy
(-5xy + 2x2 + -7y2) = 0
</span>Solving -5xy + 2x2 + -7y2 = 0<span>
Solving for variable 'x'.
Factor a trinomial.
(2x + -7y)(x + y) = 0
</span>
Answer:
The difference is 48 meters
Step-by-step explanation:
<u><em>The question is</em></u>
What is the difference of the hikers' altitudes?
Let
x -----> the Melissa's altitude in meters
y ----> Brian's altitude in meters
we have that
---> is positive because is above sea level
---> is negative because is below sea level
Remember that the sea level is the altitude equal to zero
<em>Find the difference</em>
To find out the difference of the hikers' altitudes, subtract Brian's altitude from Melissa's altitude
so
Remember that (-1)(-1)=+1
Answer:
y = (-5/3)x - 4
Explanation:
The equation of a line with slope m that goes through the point (x1, y1) is:
Additionally, two lines are parallel if they have the same slope.
The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.
So, the slope of our line is also -5/3.
Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:
Finally, solving for y, we get:
So, the answer is:
y = (-5/3)x - 4
