Answer is:<span>
= <span><span>48<span>y7 -</span></span> <span>5<span>y.</span></span></span></span>
Answer:
Step-by-step explanation:
You need to find the area of each of the shapes by multiplying the length by the width. Then, you need to add them all together. I won't do it for you because it will make it harder to learn stuff in the future but I told you the formula!!
Answer:
5x+3
Step-by-step explanation:
substitute x for the unknown number
Answer and step-by-step explanation:
a. 4 litres in 5 minutes (litres per minute)
4 litres per 5 minutes means 4/5 litres per 1 min = 0.8 litres per minutes
b. 12 litres in 45 minutes = 12/3 litres in 45/3 minutes = 4 litres per 15 minutes
60 minutes = 4*15 minutes
4 * 4 = 16 litres per hour
c. 800 kilowatt hours in 2 months
1 year = 12 months = 2*6 months
kilowatt per year = 800 * 6 = 4800 kilowatt per year
Hope this helped :3
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4