Answer:
120 pears
Step-by-step explanation:
Let the number of pears produced by Type B be x
Number of pears produced by type A=144
According to question
Type A produce 20% more pears than B
x+ x ×20%= 144
x+x×
= 144
= 144
=144
x= 144×
x=120 pears
Hence, Number of pears produced by B= 120 pears
Hence, the correct answer is 120 pears
Answer:
y=3x+19.
Step-by-step explanation:
1) according to the condition the line 't' is parallel to the line 's', it means, the equation of the line 't' is: y=3x+C, where C - unknown number.
2) in order to calculate the 'C', it need to substitute the given coordinates into the equation of the line 't', then:
-2=3*(-7)+C, ⇒ C=19.
3) if C=19 and the equation of the line 't' was y=3x+C, then it is possible to make up the full required equation:
y=3x+19.
Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
