We can compare g(x) with f(x) by looking at the b and c values of f(x+b)+c. Let's start with the b value. Remember that when horizontally shifting a function, if c is greater than 0, it shifts it to the left. So, in this case, g(x) is shifted 4 units left. Now, let's look at the c value. It is 2, meaning it shifts up in that direction. The correct answer is D, it was shifted 4 units left and 2 units up.
Answer:
x=5
Step-by-step explanation:
Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
Answer:
Step-by-step explanation:
To solve this, we would use the formula for calculating simple interest which is:
Interest = PRT
Then, we will slot in the values given which will be:
84 = P × 3% × 7
84 = P × 0.03 × 7
84 = 0.21P
P = 84/0.21
P = $400
The Principal is $400
Answer:
The numbers below are all grater than one:
#2
#3
#4
Step-by-step explanation:
ʕ•ᴥ•ʔ
Share a vertex & side= 3,4
Inside the triangle= 1,2,3
Outside the triangle= 4
