Answer:
X
Step-by-step explanation:
Let X is the number of hours Larry works a day
Given: Larry spends half of his workday teaching piano lessons.
=> Number of hours he teaches piano a day is: 
X
As we know that, he has 6 students, so the fraction of his workday is spent with each student is:
X : 6
= X
Hope it will find you well during the time of isolation.
Answer:
C
Step-by-step explanation:
the equation of the parabola is : y = x² - 3x
the equation of the line is y = x + 1
and the shaded area is between those graphs
therefore y ≥ x² - 3x and y ≤ x + 1
Answer: 52.7856cm
Step-by-step explanation:
Circumference of a circle = 2πr
Note that radius = Diameter / 2 = 16.8/2 = 8.4cm
Circumference = 2πr
= 2 × 3.142 × 8.4
= 52.7856cm
Therefore, the circumference of the circle is 52.7856cm
Answer:
(x-2) (4x^2+1)
Step-by-step explanation:
4x^3-8x^2+ x-2
Factor 4x^2 out of the first group and 1 out of the second group
4x^2 (x-2) +1(x-2)
Factor out (x-2)
(x-2) (4x^2+1)
First equal the equation to f(x) or y
f(x)= (x²+x-2)÷(x²-3x-4)
To find y-intercept, x coordinates have to be 0
f(0)=(0²+0-2)÷(0²-3(0)-4)
f(0)=-2/-4
f(0)=1/2 (y-intercept)
To find x-intercept, make y=0
0=(x²+x-2)÷(x²-3x-4)
0((x²-3x-4)=(x²+x-2)
0=x²+x-2
0=(x-1)(x+2)
x-1
x-1=0
x=1
x+2=0
x=-2
The x-intercepts would be 1, -2
Hope I helped :)
