Answer:
Step-by-step explanation:
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ANSWER:
x=4 and y= -1
Explanation:
Add these equations to eliminate y:
4x=6
Then solve 4x =16 for x:
4x=16
4x/4 = 16/4 (divide both sides by 4)
x=4
Now that we have found x lets plug it back in to solve for y.
Write down an original equation:
x-3y=7
Substitute 4 for x-3y=7:
4-3y=7
-3y+4=7 (simplify both sides of the equation)
-3y+4+ (-4) = 7+ (-4) (add -4 to both sides of the equation)
-3y = 3
-3y/-3 = 3/-3 (Divide both sides by -3)
y= -1
I HOPE THIS HELPS
Standard form
ok, so the factored form of a polynomial with roots r1,r2,r3,r4 is
f(x)=(x-r1)(x-r2)(x-r3)(x-r4)
so
since the roots are 0,1,-2i,3+√3
I am assuming you want real coefients so ince -2i is a root, 2i is also a root
f(x)=(x-0)(x-1)(x+2i)(x-2i)(x-(3+√3))
f(x)=x⁵-(√3)x⁴-4x⁴+(√3)x³+7x³-(4√3)x²-16x²+12x
if you were allowed to have no-real coefients then exclue the 2i
f(x)=(x-0)(x-1)(x+2i)(x-(3+√3))
f(x)=
Answer:
35?
Step-by-step explanation:
3x+2y=70
Geometric figure: Straight Line
Slope = -3.000/2.000 = -1.500
x-intercept = 70/3 = 23.33333
y-intercept = 70/2 = 35
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 35/1 so this line "cuts" the y axis at y=35.00000
y-intercept = 70/2 = 35
Calculate the X-Intercept :
When y = 0 the value of x is 70/3 Our line therefore "cuts" the x axis at x=23.33333
x-intercept = 70/3 = 23.33333
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 35.000 and for x=2.000, the value of y is 32.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 32.000 - 35.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -3.000/2.000 = -1.500
Geometric figure: Straight Line
Slope = -3.000/2.000 = -1.500
x-intercept = 70/3 = 23.33333
y-intercept = 70/2 = 35
The scale is 1: .25 which could also be seen as 4:1 so the big triangle is 4 times as big as the smaller one. The big one is 8 so divide that by 4 to get our answer which is 2
