X
=
−
31
12
+
1
12
1249
or
x
=
−
31
12
+
−
1
12
1249
We have that
<span>y=(1/2)x+1
we know that
the point p h</span><span>as a y-coordinate of 5
therefore
</span><span>I substitute the value of y = 5 in the equation of the line
5=</span>(1/2)x+1--------> 5-1=(1/2)x------> 4=(1/2)x-----> 8=x
x=8
the answer is
the x coordinate of p is x=8
First find what j(5) is
j(5)=-4(5)=-20
so
h(j(5))=h(-20)=-20-1=-21
120 - minimum
140 - 1Q
290 - 2Q
330 - maximum
50% ice cream > 270 calories
....
75% chocolate > 230 calories
Solution:
<u>We know that:</u>
- Given equation: 1/4(x - 2) = 3 - (x + 1/6)
<u>Simplify the distributive property.</u>
- 1/4(x - 2) = 3 - (x + 1/6)
- => x/4 - 2/4 = 3 - x - 1/6
<u>Further simplify both sides.</u>
<u>Subtract 17/6 both sides.</u>
- x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x
- => x/4 - 6/12 - 34/12 = -x
- => x/4 - 40/12 = -x
<u>Subtract x/4 both sides.</u>
- x/4 - x/4 - 40/12 = -x - x/4
- => -40/12 = -5x/4
<u>Use cross multiplication.</u>
<u>Divide -60 both sides.</u>
- -160/-60 = -60x/-60
- => x = 160/60 = 2 40/60 = 2 2/3