Hi there!
So, our two equations are:
2x + 3y = 20 and
-2x + y = 4
We can see that the x's will cancel out because they're the same number, opposite signs. Then we're left with 4y = 24.
Divide 24 by 4, which is 6.
y = 6, then we plug that in to the first equation for y:
2x + 3(6) = 20
2x + 18 = 20
2x = 2
x = 1
So, she made her first mistake when adding the equations, adding 20 and 4, she somehow got 16.
The solution to the system is (1,6).
I hope I helped!
I am thinking the 3rd one >> -x+5=6x-2
(: (:
Answer: 33 and 28
Step-by-step explanation:
so, all we know is ? + ? = 61
if the larger number is 5 more than the smaller number, we can assume that..
33 + 28 = 61
Answer:
Step-by-step explanation:
Get the equation in the form y = ax2 + bx + c.
Calculate -b / 2a. This is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
- that's how you find the vertex of the quadratic function-
y=-2/3x+5
Step-by-step explanation:
From the scattered plot, it is evident that the line of best fit will have a negative slope from the way the plots are aligned.
Selecting the line of best fit that will cut the y axis at +5, the points can be estimated as;
(5,1.5) and (3.5,2.5)
The slope can be found as;
m=Δy/Δx
m=2.5-1.5/3.5-5 =1.0/ -1.5 = -0.67
Finding the equation as;
m=Δy/Δx
-0.66 = y-2.5/x-3.5
-0.66(x-3.5) = y-2.5
-0.66x+2.3=y-2.5
-0.66x+2.3+2.5=y
-0.66x+4.7=y
⇒⇒ y= -0.66 x + 4.7
⇒⇒y= -2/3 x + 5
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Linear equations:brainly.com/question/8738418
Keywords: best trend line, data set
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