Answer:
Step-by-step explanation:
We are given the trigonometric equation of:
Let u = 4x then:
Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).
Convert u-term back to 4x:
Divide both sides by 4:
The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:
Answer:
h = 23 hours
Step-by-step explanation:
Take 143.75 and divide it by 6.25
143.75/6.25 = 23
23 is the answer
Answer:
vertex = (- 1, 1 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = x² + 2x + 2 ← is in standard form
with a = 1 and b = 2 , then
x = - 
= - 1
substitute x = - 1 into the equation for y- coordinate of vertex
y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1
vertex = (- 1, 1 )
F(-7)=0
Because that makes the (x+7) factor equal zero and any other factor multiplied by zero also results in zero.
Answer:
12 white 28 printed
Step-by-step explanation:
x = white y = printed
x + y = 40————(1)
4.95x + 7.95y = 282————(2)
Solve for x using 1st equation
x = 40 - y Plug in for x using 2nd equation
4.95(40 - y) + 7.95y = 282 Solve for y
198 - 4.95y + 7.95y = 282
3y = 84
y = 28 Plug in for y using 1st equation
x + (28) = 40 Solve for x
x = 12
I hope this helped and please mark me as brainliest!
