Answer:
Step-by-step explanation:
Let the amount of flour left be .
Initial amount of flour = 18 cups
Cups used for 1 batch of muffins = 3
∴ Cups used for batches =
Amount left in the container is given as:
Therefore, the equation to show how much flour is left in the container after x batches of muffins is .
The graph of it is shown below.
Find the x and y intercepts and then join the line.
At x intercept,
So, x intercept is
At y intercept, ,
So, y intercept is
Join these two points to plot the graph.
Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:
(x - 2)(x + 3) 10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²
Answer: LCM is 10(x - 2)(x + 3)²
The condition for an expression to be an <u>identity </u>is that both sides of equality must give the same value.
In this case, the equation that fulfills that condition is the first equation (1).
<u>Let’s prove it:</u>
1)
Applying distributive property:
Joining together similar terms on both sides of the equality:
<h2>
>>>>>>>This is true and fulfills the condition of identity</h2>
The other equations do not fulfill the condition:
2)
>>>>>>>This is not logic
3)
>>>>>>>This is not logic
4)
>>>>>>>This is not logic
Surface area of a sphere = 4πr²
Surface area of the sphere = 4π(0.8)² = 8.0 ft²
Volume of a sphere = 4/3 πr³
Volume of the sphere = 4/3 π(0.8)³ = 2.1 ft³
Answer: Surface area = 8.0 ft² and volume - 2.1 ft³ (Answer C)
Answer:
the graph of two linear functions negative 4 times x plus 15 times y equals negative 300 and 20 times x plus 4 times y equals negative 20
(−3, 9)
(−3, 8)
(3, −19)
(3, −8)
Step-by-step explanation: