General equation of slope intercept form is y=mx+c. m=-5, b= - 7 = c. Plugging these values in general equation you'll get, y= - 5x - 7. Option C is the correct answer.
Answer:it is the yellow part
Step-by-step explanation:
because the yellow face is touching the floor
Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
Answer:
x=-2, y=-3
Step-by-step explanation:
we can rearrange the questions to make it easier
y=3x+3
2y=-3x-12
if you add the two equations, you get
3y=0x-9
so y=-9/3 = -3
plug y into one of the equations
-3=3x+3
-6=3x
x=-2
and then check your work by plugging into the other equation:
2*-3=-3(-2)-12
-6=6-12
-6=-6
Answer:
Olivia wrapped 6 gifts and prepared 8 giftbags.
Step-by-step explanation:
Write System of Equations:
3x+1.5y=
30 x+y=14
x+y= 14 y=-x+14
3x+1.5y=30
1.5y=3x+30
1.5y divided by 1.5 is y
-3x+30 divided by y is -2x+20
y=-2x+20