Antonia incorrectly solves the equation −2(14−54a)=6 . Her work is shown below.
1 answer:
Answer:
For the yes/no bit:
step 1: no
step 2: no
step 3: yes
step 4: yes
step 5: no
for the final answer bit: a = 2 3/5 (the last option)
Step-by-step explanation:
yes/no bit:
step 1 is wrong because she didn't multiply by -2
step 2 is wrong because she subtracted 1/2 instead of adding it
step 3 is correct because 6 - 1/2 = 11/2
step 4 is correct because she correctly multiplied both sides by 4
step 5 is wrong because she added 5 instead of dividing by -5.
for the final answer bit, I've attached an image below with my working out. hope this helps!
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Answer:
This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3
Step-by-step explanation:
The given function is
When we differentiate this function with respect to x, we get;
We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)
This implies that;
If this function satisfies the Mean Value Theorem, then f must be continuous on [1,7] and differentiable on (1,7).
But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.
Answer:
24 ft cubed
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula: , where
is the length, w is the width, and h is the height.
Looking at the diagram, we can see that the length is 2 ft (so = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:
Thus, the answer is 24 ft cubed.
Hope this helps!