Answer:
g(x) is a vertical compression of f(x)
Step-by-step explanation:
Equation of graph 1 :
Equation of graph 2 :
f(x)→a f(x)
Its is case of vertical stretch or compression
Vertical stretch if |a|>1
Vertical compression if 0<|a|<1
f(x)→a f(x)
So, 
→
So, 
So,0<|a|<1
So,It is a case of vertical compression
So, g(x) is a vertical compression of f(x)
Answer:
Step-by-step explanation:
5= 31(x +7)
5= 31x + 217
5 - 217 = 31x + 217 - 217
212 = 31x
212/31 = 31x/31
212 = x
x= 212
Answer:
x = -7/2
Step-by-step explanation:
-2(5x - 3) = 41
Distribute the -2 inside the parenthesis.
-10x + 6 = 41
Subtract 6 from both sides.
-10x = 35
Divide both sides by -10.
x = 35/-10
Simplify the fraction.
x = -7/2.
Proof:
-2(5x - 3) = 41
Substitute variable.
-2(5(-7/2) - 3) = 41
Multiply 5 and -7/2.
-2(-35/2 - 3) = 41
Turn 3 into a fraction with denominator 2.
-2(-35/2 - 6/2) = 41
Subtract 6/2 from -35/2.
-2(-41/2) = 41
Multiply -2 and -41/2.
41 = 41.
Step-by-step explanation:
Increase the number by 5% of its value.
Percentage increase = 5% × 220
New value =
220 + Percentage increase =
220 + (5% × 220) =
220 + 5% × 220 =
(1 + 5%) × 220 =
(100% + 5%) × 220 =
105% × 220 =
105 ÷ 100 × 220 =
105 × 220 ÷ 100 =
23,100 ÷ 100 =
231
