The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.
Answer:
Solution
(f+g)(x)=f(x)+g(x)
=x
2
+2x+1
(f−g)(x)=f(x)−g(x)
=x
2
−(2x+1)
=x
2
−2x−1
(fg)(x)=f(x).g(x)
=x
2
(2x+1)
=2x
3
+x
2
(
g
f
)(x)=
g(x)
f(x)
(g(x)
=0)
=
2x+1
x
2
(x
=−
2
1
)
Step-by-step explanation:
ƈǟʀʀʏ օռ ʟɛǟʀռɨռɢ
1. -x+9y=-5
x-5y=1
-----------------
x=1+5y
-(1+5y)+9y=-5
-1-5y+9y=-5
-1+4y=-5
4y=-5-(-1)
4y=-5+1=-4
4y=-4
y=-4/4=-1
So x=1+5y=1+5(-1)=1-5=-4
Answer: x=-4, y=-1. (-4, -1).
2) -7x-y=13
8x+y=-14
------------------
y=-14-8x
-7x-(-14-8x)=13
-7x+14+8x=13
14+x=13
x=13-14=-1
y=-14-8(-1)=-14+8=-6.
Answer: x=-1, y=-6. (-1, -6).
3) x+7y=24
x-9y=-24
----------------
x=24-7y
24-7y-9y=-24
24-16y=-24
16y=24-(-24)=24+24=48
y=48/16=3
x=24-7(3)=24-21=3
Answer: x=3, y=3. (3, 3).
4). 3x+y=-21
x+y=-5
-------------------
x=-5-y
3(-5-y)+y=-21
-15-3y+y=-21
-15-2y=-21
2y=-15-(-21)=-15+21=6
y=6/2=3
x=-5-3=-8.
Answer: x=-8, y=3. (-8, 3).
5) 3x+6y=6
9x-12y=18
---------------
Simplify 3x+6y=6 will get you x+2y=2,
x=2-2y,
9(2-2y)-12y=18
18-18y-12y=18
18-30y=18
30y=18-18=0
y=0/30=0
x=2-2(0)=2-0=2
Answer: x=2, y=0. (2, 0).
6) 6x+8y=26
-7x+2y=-19
-----------------
-4(-7x+2y)=-4(-19)
28x-8y=76
---------------------------
6x+8y=26
28x-8y=76
-----------------
34x=102
x=102/34=3
6(3)+8y=26
18+8y=26
8y=26-18=8
y=8/8=1
Answer: x=3, y=1. (3, 1)
BONUS:
-5x+5y=-25
3x+2y=10
---------------
Simplify -5x+5y=-25 you will get x-y=5
x=y+5
3(y+5)+2y=10
3y+15+2y=10
5y+15=10
5y=10-15=-5
y=-5/5=-1
x=-1+5=4
Answer: x=4, y=-1. (4, -1).
Answer:
Domain is 8 to 15 broomsticks
Range is 1,200 to 2,250 Galleons
Step-by-step explanation:
Here, when we talk of the domain, we are simply referring to the range of values of the number of broomsticks to be bought which is between 8 and 15
When we talk of the range, we are talking of the amount these broomsticks will cost
The cost for 8 broomsticks will be 8 * 150 = 1,200 Galleons
15 broomsticks will cost 15 * 150 = 2,250 Galleons
The range here will thus be 1,200 Galleons to 2,250 Galleons
Answer: 5 pounds
Step-by-step explanation: 90 - 47.65 ÷ 8.47 = 5
