Answer:
m=2
Step-by-step explanation:
When you put a number into the inverse of a function (f^-1) you get the original number back.
Ex: f^-1(11) = (11-3)/2 = 4
f(4) = 2×4+3 = 11
So, f(-5)=-2
So, when x is -5,
f(x) = -2
f(x)=m(-5)+8
-2=m(-5) + 8
m=2
Answer:
1 ornament per 3 hours
in 15 hours she will have 7.5 of them done
Answer:

Step-by-step explanation:
→ First understand what Pythagoras theorem is
Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.
→ State the formula and identify the letters
a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out
→ Substitute in the values into the formula
380² + 290² = c²
⇒ Simplify
144400 + 84100 = c²
⇒ Collect the numbers together
228500 = c²
⇒ Square root both sides to find 'c'
478.0167361 = c
→ The length of the diagonal is 478.02
Step-by-step explanation:
Given the expression,
, we want to know which sign placed in between the two polynomial will produce a binomial.
Using a plus (+) sign to check:

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.
Using a plus (-) sign to check:

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.
<em>Hence none of the operations given results in a binomial</em>