Answer:
(f + g)(x) = x² - x + 6
Step-by-step explanation:
Step 1: Define
f(x) = x² + 1
g(x) = 5 - x
Step 2: Find (f + g)(x)
(f + g)(x) = x² + 1 + 5 - x
(f + g)(x) = x² - x + 6
Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.
Answer:
4 + 5i
Step-by-step explanation:
To calculate this you have to combine the like terms until they cannot be combined any further:
7 + 10i + 4 - 10i - (7 - 5i)
11 + 0i - 7 - 5i
7 & 4 are liked terms so add them together + subtract 10i and 10i
4 + 5i <--- Final answer
Hope this helps!
Answer:
69%
Step-by-step explanation:
if there are 69 packs of mint gum and 31 packs of friut gum 69+31=100
so 69 out of 100 (packs of mint gum) would be 69% of 100
For lines to be perpendicular to each other their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1
Since y=2x-1 has a slope of 2, our perpendicular line must have a slope of:
2m=-1, m=-1/2, so our perpendicular line will be of the form:
y=-x/2+b, using the point (-2,-2) we can solve for the y-intercept, or "b".
-2=--2/2+b
-2=1+b
b=-3, then our perpendicular line is:
y=-x/2-3 or more neatly
y=-0.5x-3
