ANSWER
EXPLANATION
Given the parent function:
If we shift the graph of f(x), 5 units to the left, then the new rule is
If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,
Or
Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (6, 5) and (x₂, y₂ ) = (- 3, 1)
d =
=
=
= ≈ 9.85 ( to 2 dec. places )
Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
Answer:
6 and 5 over 6
6 5/6
Step-by-step explanation:
it would be a mixed fraction because 6 can't go into 41 evenly
Answer:
4 free wedges of cheese
Step-by-step explanation:
From the above question:
3 sticks of butter purchased = 1 free wedge of cheese
12 sticks of butter purchased = x
Cross Multiply
3 × x = 12 × 1
x = 12/3
x = 4 free wedges of cheese
Therefore, when Baby Jr. Buys 12 sticks of butter, she will receive 4 free wedges of cheese.