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3 years ago

State whether the given equation or function is linear. Write yes or no. Explain your reasoning. 5x4 + 5y = 9

Mathematics

1 answer:

quester [9]3 years ago

6 0

Answer:

The given equation is NOT linear.

Step-by-step explanation:

5x^4+5y = 9

The given equation is NOT linear.

Reason:

A linear equation is defined as the equation for the straight line, where the degree of variables involved is always equal to 1.

But in the given equation :

Degree if x = 4

and degree of y = 1

As degree of x≠ 1 so, the given equation is not linear,

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If x=1+√2, evaluate x³+1/x³.

aleksandr82 [10.1K]

Answer:

10√2

Step-by-step explanation:

If x=1+√2, evaluate x³+1/x³

--------

x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)= 10√2

3 0

3 years ago

Simplify the following fraction: 10/24

mestny [16]

Answer:

5/12

Step-by-step explanation:

inside 2s table there 10 and 24

8 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through(-2, 4) and has a slope of 2/5?

azamat

Answer:

y=2/5x+4.8

Step-by-step explanation:

Proof

8 0

3 years ago

A writing workshop enrolls novelists and poets in a ratio of 5 to 3. There are 24 people at the workshop. How many novelists are

charle [14.2K]

There are 15 novelists and 9 poets. This is a ratio of 5 to 3 and adds up to 24 people

5 0

3 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

3 years ago