Answer:
first graph is a function
Step-by-step explanation:
Answer:
f = 2
g = 8
h = -9
k = 40
m = 1
Step-by-step explanation:
Equation 1:
23f - 17 = 29
Add 17 to both sides. This undoes the -17.
23f = 29 + 17
Add 17 to 29 to get 46.
23f = 46
Divide both sides by 23. This undoes the multiplication by 23.
f = 46/23
Divide 46 by 23 to get 2.
f = 2
Equation 2:
2(3g + 4) = 56
Divide both sides by 2. This undoes the multiplication by 2.
3g + 4 = 56/2
Divide 56 by 2 to get 28.
3g + 4 = 28
Subtract 4 from both sides. This undoes the +4.
3g = 28 - 4
Subtract 4 from 28 to get 24.
3g = 24
Divide both sides by 3. This undoes the multiplication by 3.
g = 24/3
Divide 24 by 3 to get 8.
g = 8
Equation 3:
h + 9 = 0
Subtract 9 from both sides. This undoes the +9.
h = 0 - 9
Any number subtracted from 0 gives its negation.
h = -9
Equation 4
3(k - 8) = 96
Divide both sides by 3. This undoes the multiplication by 3.
k - 8 = 96/3
Divide 96 by 3 to get 32.
k - 8 = 32
Add 8 to both sides. This undoes the -8.
k = 32 + 8
Add 8 to 32 to get 40.
k = 40
Equation 5:
5m - 5 = 0
Add 5 to both sides. This undoes the -5
5m = 0 + 5
Anything plus 0 gives itself.
5m = 5
Divide both sides by 5. This undoes the multiplication by 5
m = 5/5
Anything divided by itself gives you 1.
m = 1
Answer:
4
Step-by-step explanation:
→ We go up the y axis to 6 and read of the x coordinate which is 4. This is because an inverse function does the the opposite i.e. if f ( x ) = y
f⁻¹ ( y ) = x.
Answer:
Length = 9 inches
Step-by-step explanation:
The perimeter of a rectangle is:
perimeter = 2(length + width)
24 = 2(a+b)
a = b + 6
a = length
b = width
then:
24 = 2((b+6)+b)
24/2 = b+6+b
12 = 2b + 6
12-6 = 2b
6 = 2b
b = 6/2
b = 3 inches
a = b+6
a = 3+6
a = 9 inches
Check:
24 = 2(9+3)
24 = 2*12
