Answer:
56n - 7m
Explanations:
Note that according to the distributive property:
a(b + c) = ab + ac
a(b - c) = ab - ac
Therefore, follow the rule above to rewrite 7(8n - m) using the distributive property.
7(8n - m) = 7(8n) - 7m
7(8n - m) = 56n - 7m
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
- If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)
- If f(x) translated vertically k units, then its image h(x) = f(x) + k
Let us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
- a translation of 5 units up
- a vertical stretch with a scale factor of 2
The measurement of <ABC is 50 degrees
The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
In this question, you know that the machine packs
of a box every
of a minute. Since it is constant, you simply have to double the half a minute to a full minute and then also double the rate to get
boxes packed per minute. And
is equal to
