All categories

2 years ago

Does (1, 0) make the equation y = x + 1 true?

Mathematics

1 answer:

maw [93]2 years ago

4 0

No it doesn’t

because if you plug in the values , you would see that 0=1+1 and 0≠2

You might be interested in

• What is the solution to 5x+ 20 = 7(x+2)?

o-na [289]

For this case we must find the solution of the following equation:

$5x + 20 = 7 (x + 2)$

Applying distributive property on the right side of the equation we have:

$5x + 20 = 7x + 14$

Subtracting 7x from both sides of the equation:

$5x-7x + 20 = 14\\-2x + 20 = 14$

Subtracting 20 from both sides of the equation:

$-2x = 14-20$

Different signs are subtracted and the major sign is placed.

$-2x = -6$

Dividing between -2 on both sides of the equation:

$x = \frac {-6} {- 2}\\x = 3$

Thus, the solution of the equation is $x = 3$

Answer:

$x = 3$

6 0

3 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

2 years ago

What is the y-intercept in the equation LaTeX: y=-3x+7y = − 3 x + 7?

poizon [28]

B answer is letter B

3 0

3 years ago

Evaluate: (5x) expression 2 - 3 if x=2 Help please

charle [14.2K]

Assuming that you mean 5x(2-3) for your equation, you would just have to plug 2 into where x is. This makes your equation 5*2(2-3). This gives you 10(-1) because 5*2=10, and 2-3=-1. Then simply multiply the two to get:

-10

Hope this helped!

4 0

2 years ago

A customer borrowed 2000 and then further 1000 both repayable in 12 months .What would he have saved if he had taken out one loa

creativ13 [48]

Answer:

No savings

Step-by-step explanation:

Let the interest rate be same for all the loans and consider it to be R.

First case

Principal 1 = 2000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

So, interest 1 = Principal * Time * Rate

= 2000 * 1 * R

= 2000R

Now,

Principal 2 = 1000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

So, interest 2 = Principal * Time * Rate

= 1000 * 1 * R

= 1000R

Total interest to be paid = 2000R + 1000R

= 3000R

Second case

Principal = 3000

Time = 12 moths = $\frac{12}{12}$ = 1 year

Rate = R %

Interest = Principal * Time * Rate

= 3000 * 1 * R

= 3000R

We conclude that there would be no savings because the interest to be paid in both the cases are same.

5 0

3 years ago

Read 2 more answers