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2 years ago

If an equation is an identity, then how many solutions does it have?

Mathematics

2 answers:

weeeeeb [17]2 years ago

8 0

Answer:

Infinite solution

Step-by-step explanation:

We are given an equation is identity

We have to find that how many solutions equation have

Identity equation:Identity equation is that true equation in which no matter what value is substitute for variable .It is always true statement.

Suppose that we have an identity equation

$x=x$

$x-x=0$

$0=0$

If this type of condition is obtained then we have infinite solutions.

So, if an equation is identity then the equation have infinite solutions.

gulaghasi [49]2 years ago

6 0

Identities have <em>INFINITE </em>solutions.

Hope I could help! :)

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Jan has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of French vanilla cocoa mix. She wants to put the same amount of mi

spin [16.1K]

Given that <span>Jan has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of French vanilla cocoa mix and that she wants to put the same amount of mix into each jar.

Given that she only wants one flavor mix in each jar and that she wants to fill as many jars as possible.

This question depicts a HCF (highest common factor) question where the maximum amount of jars of each flavor she can fill represent the multiple of the HCF of 35 and 45.

35 = 5 x 7
45 = 5 x 9

Thus the HCF of 35 and 45 is 5.

Therefore, the number of jars of French vanilla cocoa mix Jan will fill is 9.</span>

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2 years ago

Proof by mathematical induction

Ghella [55]

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let n = k, then:

Sum ( k terms) = 7k^2 + 3k

Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term

= 7k^2 + 3k + 14(k + 1) - 4

= 7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

= 7(k + 1)^2 + 3k + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

5 0

2 years ago

Two factories I and II produce phones for brand ABC. Factory I produces 60% of all ABC phones, and factory II produces 40%. 10%

denpristay [2]

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

P(not defective I) = 0.90; P(not defective II) = 0.80

The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

$P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%$

The probability is 0.3721 or 37.21%.

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3 years ago

The mass of a block of stone is 2,000 kg. If the block has a volume of 0.5m

rodikova [14]

Density = Mass / Volume = 2000/0.5
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3 years ago

Which of the following shows the graph of y = l n (negative 2 x)

Doss [256]

Answer:

The first graph, answer choice A.

Step-by-step explanation:

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