Answer:
Shifted by 6 units left on the x-axis.
Step-by-step explanation:
Given function is,
f(x) = 5ˣ + 1
After transformation, this function becomes g(x) = 
Here, g(x) = f(x + 6)
By the rule of transformation,
Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.
Answer:
m<C = 56°
m<D = 124°
Step-by-step explanation:
Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°
4x + 28 + 17x + 5 = 180 add like terms
21x + 33 = 180 subtract 33 from both sides
21x = 147 divide both sides by 21
x = 7 now to find the measure of each angle replace x with 7
Answer:
easy points!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Principal, P = $4,000
Interest rate, r = 3% = 0.03
Period, t = 20 years
Number of times compounded in a year = 4
Amount , A = P( 1 + r/n)^tn
A = 4000( 1 + 0.03/4)^4*20
A = 4000( 1 + 0.0075) ^80
A =4000( 1.0075) ^80
A = 4000* 1.818
A = $7272.18
Step-by-step explanation:
1. Use the Pythagorean theorem to solve for side KM:
- 16^2+KM^2=34^2
- 256+KM^2=1156
- KM^2=900
- KM=30
2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34
3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16
4. Sine is opposite over hypotenuse, so sine of M will be 16/34
5. KM=30, solved for in step 1.
hope this helps!!
