Answer:
Kindly check explanation
Step-by-step explanation:
To compare the number of apples to oranges
Number of apples = 12
Number of oranges = 10
Number of apples in terms of oranges :
12 /10 = 1.2
Number of apples = 1.2(number of oranges)
If number of apples = x
Number of oranges = y
x = 1.2y
There are 1.2 times the number of apples than number of oranges.
Answer: 26
Step-by-Step Explanation:
a = 10
b = 24
c = ?
Using Pythagoras Theorem,
c^2 = a^2 + b^2
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
=> c = √676 = 26
Hence, c = 26
Length of a circumference=2πr
r=radius=6 feet.
lengt of this circumference=2π6 feet=12π feet.
1 circumference=360º; then:
360º-------------------12π feet
6º---------------------- x
360º * x=6º * 12π feet
x=(6º * 12π feet) / 360º=π/30 feet (≈0,105 feet).
Solution: π/30 feet
Answer:
Option B is correct
Step-by-step explanation:
Given:
f(x) = -20x^2 +14x +12 and
g(x) = 5x - 6
We need to find f/g and state its domain.
f/g = -20x^2 +14x +12/5x - 6
Taking -2 common from numerator:
f/g = -2(10x^2 - 7x - 6) / 5x -6
Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6
Putting in the above equation
f/g = -2(10x^2 - 12x +5x -6)/ 5x -6
f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6
f/g = -2 ( (2x+1)(5x-6))/5x-6
cancelling 5x-6 from numerator and denominator
f/g = -2(2x+1)
f/g = -4x -2
The domain of the function is set of all values for which the function is defined and real.
So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.
So, Option B is correct.
Answer:
Graph B
Step-by-step explanation:
The equation for direct variation is y=kx, with k being the slope. As you can see from the equation, there is no y-intercept. In graph A, you would add 8; therefore, it does not meet the requirements for direct variation.
