37* 4.75 =175.75
no overtime since there are no hours over 50
Answer: $175.75
2x +4)° 2x-9)°= 4x 2 +8x−9=3
Pull out like factors :
2x + 4 = 2 • (x + 2) (4 • (x + 2) • x) - 9
4x • (x + 2) - 9
Factoring 4x2+8x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is 8 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5
-6 + 6 = 0
-4 + 9 = 5
-3 + 12 = 9
-2 + 18 = 16
-1 + 36 = 35
x=3
Part (a)
Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.
Since f(-1) = 4, this means we can then say
g( f(-1) ) = g( 4 ) = 4
To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.
<h3>
Answer: 4</h3>
==========================================================
Part (b)
We use the same idea as part (a)
f(-2) = 5
g( f(-2) ) = g(5) = 6
<h3>
Answer: 6</h3>
==========================================================
Part (c)
Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.
g(1) = -2
f( g(1) ) = f(-2) = 5
<h3>
Answer: 5</h3>
==========================================================
Part (d)
Same idea as part (c)
g(2) = 0
f( g(2) ) = f( 0 ) = 3
<h3>
Answer: 3</h3>
The solution to the problem is as follows:
<span>Area=h×w
</span><span>1(1/2) = h × 2 (<span>1/4)
</span></span><span>⟹3/2 = h × <span>9/4
</span></span><span>h = 3/2 ÷ <span>9/4
</span></span><span>Therefore, the height will be 2/3 yards if we use all the blue paint.
</span>
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!