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VikaD [51]
3 years ago
10

Solve the equation: 4(x - 2) = 12

Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:x= 14

Step-by-step explanation:

84

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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln(x), [1, 5]
matrenka [14]

Answer:

Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]

Step-by-step explanation:

We are given that a function

f(x)=ln(x)

Interval [1,5]

The given function is defined on this interval.

Hypothesis of Mean Value Theorem:

(1) Function is continuous on interval [a,b]

(2)Function is defined on interval (a,b)

From the graph we can see that

The function is continuous on [1,5] and differentiable at(1,5).

Hence, the function satisfies the hypothesis of the Mean Value Theorem.

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3 years ago
Explain why two obtuse angles cannot be supplementary to another.
Nuetrik [128]
It's impossible. Supplements need to add up to 180 degrees, and in order to be obtuse, the angles would both need to be larger than 90 degrees.
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3 years ago
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Solve 2x²-3x-7=0 using completing the square method​
zhannawk [14.2K]

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

8 0
3 years ago
What is the value of y?
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1.) Give an example of two variables with a strong? correlation, where each variable does not cause the other.
Phoenix [80]

Answer:

B. Long weekends and highway traffic on Friday afternoon

Step-by-step explanation:

Correlation is used to measure the strength of the relationship among variables. The variables are said to be strongly correlated if their relationship is strong.

Here, In option (A) Company's quarterly earnings reports and Stock performance has usually little correlation between them. So, this option is not true.

On long weekends people usually go for a family trip or their own home so it results in more highway traffic on Friday afternoon. Hence, there is a strong correlation between Long weekends and highway traffic.

As the price of beef and dairy product does not depend on each other. So, it doesn't have a strong correlation.

Similarly, Option (D) is also not true.

 

8 0
3 years ago
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