The Venn diagram should contain two circles or any form of shape. They must intersect each other the with the left side as the chemistry subject and the right side must be physics subject or vice versa. In the intersection of both shape it must be the value of the students who passed both physics and chemistry.
Answer:
A
Step-by-step explanation:
Put x as -3.
2(-3) - 2
= -8
2(-3)² + 14(-3) + 5
= -19
Divide both terms.
-8/-19 = 8/19
Answer:
a. No, Sam will be short $7,500.
Step-by-step explanation:
Best answer
Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4
Answer: f(x) = 6*sin( (1/8)*π*x) + 3
Step-by-step explanation:
A sine function is written as:
f(x) = A*sin(w*x + f) + M
where:
A = amplitude
w = frequency
f = phase
M = midline
Here we know that:
Frequency = 1/8π, then: w = (1/8)*π
Amplitde = 6, then A = 6
midline = 3, then M = 3
So our equation is:
f(x) = 6*sin( (1/8)*π*x + f) + 3.
Now we also know that:
y-inercept: (0,3)
This means that:
f(0) = 3 = 6*sin( (1/8)*π*0 + f) + 3 = 6*sin(f) + 3
Now we can remember that sin(0) = 0
Then we must have f = 0.
This means that the equation is:
f(x) = 6*sin( (1/8)*π*x) + 3
So the image of the function is: