4h+9
We can plug 4 into h to result in this expression:
4*4+9
16+9=
25
Answer:
{-π/2, π/2}
Step-by-step explanation:
Rewrite this as:
7sin^2 x - 14sin x + 7 = 0. Reduce this result by dividing all terms by 7:
sin^2 x - 2sin x + 1
Temporarily replace "sin x" with y:
y^2 - 2y + 1 = 0
Solve this through factoring: (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1
Recalling that y = sin x, we write
sin x = ±1, whose solutions are sin x = 1 and sin x = -1
The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2
and so the solution set is {-π/2, π/2}
Let
x------> hours worked by Sara last week
y------> hours worked by Joan last week
z------> hours worked by Erin last week
we know that
x=28 hours ------> equation 1
y=x-6-----> equation 2
substitute the value of x in equation 2
y=28-6=22 hours
z=y/2------> equation 3
substitute the value of y in the equation 3
z=22/2=11 hours
<u>the answer is</u>
Sara worked 28 hours last week
Joan worked 22 hours last week
Erin worked 11 hours last week
3/18 = 15/90
13/15 =78/90
To rewrite it as the same denominator you have to find a number that they both go into. So 90 is the lowest number that both 18 and 15 go into. 18 x 5 is 90 and 15 x 6 is 90 so what you do to the denominator you have to do to the numerator. So then you do 3 x 5 which equals 15 and you have to do 13 x 6 which equals 78. So the equation would end up being with the two fractions 15/90 and 78/90.