Answer: f(x) = 3
Step-by-step explanation:
f(x) = |-9| - 6
f(x) = 9 - 6
f(x) = 3
This is the concept of perimeter of figures, to get the length of material that is required to make a circle with diameter 6 ft, we are required to calculate for its circumference;
circumference, C= π*diameter
C=3.14*6=18.85 ft
therefore it will take a material whose length is 18.85 ft to make a circle of 6 feet
Answer:
Step-by-step explanation:
<u>We know that:</u>
- Samantha = 15 + 2x
- Matt = 3 + 4x
- Samantha = Matt
- [x = Number of hours]
<u>Solution:</u>
- 15 + 2x = 3 + 4x
- => 15 - 3 = -2x + 4x
- => 12 = 2x
- => x = 6
Hence, after 6 hours of work, Samantha and Matt will have the same amount.
Answer:
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Step-by-step explanation:
a) 3x+2(41-5x)=33 as y=41-5x is given
3x+82-10x=33
-7x+82=33
-7x=33-82
-7x=-49 cut the negative signs as its LHS and RHS
x=49/7=7
b)-5x+3(3x-3)=3 as y=3x-3 is given
-5x+9x-9=3
4x-9=3
4x=3+9
x=12/4=3
c)4x+11-5x=9
-x+11=9
-x=9-11
-x=-2 cut the negative signs as its LHS and RHS
x=2
d) 5y+ -5-2y=-11 as x=-5-2y is given
3y+-5=-11
3y=-11+5
3y=-6
y=-6/3=-2
e)-5x-4(2x+1)=35 as y=2x+1
-5x-8x+4=35
3x+4=35
3x=35-4
3x=31
x=31/3
x=10.3
