Write the equation of the line that goes through<br> the points (-3, -2) and (4, 5).

Factor 16x^2 + 49. Check your work.

Shtirlitz [24]

Answer:

$16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

$x=\frac{\pm\sqrt{-3136}}{32}$

$x=\frac{\pm56i}{32}$

$x=\frac{56i}{32},\frac{-56i}{32}$

$x=\frac{7i}{4},\frac{-7i}{4}$

Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

4 0

3 years ago

3x+6-2 = 6x-(7/2*9/0)<br>

kvv77 [185]

$3x+6-2 = 6x-( \frac{7}{2} \times \frac{9}{0} ) \\ \\ 3x + 4 = 6x - \frac{63}{0} \\ \\ 3x + 4 = 6x - 0 \\ \\ 4 + 0 = 6x - 3x \\ \\ 3x = 4 \\ \\ x = \frac{4}{3} .$

The value of x is 4/3 .

5 0

1 year ago

Read 2 more answers

Eddie is reading a novel for English class. He read 173 out of 480 pages. About what percent of the book has he read? Round to t

tester [92]

Answer:

the answer would be 36.04,

Step-by-step explanation:

im gonna just leave this blank

4 0

2 years ago

Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe

Juliette [100K]

Answer:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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

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

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

5 0

3 years ago

A card is picked at random from the following set. What is P(9) ? Write your answer as a percentage in the box given below.

irina1246 [14]

Answer:

25%

Step-by-step explanation:

The (not mentioned in the question) set is: 6 7 8 9.

There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:

P(9) = favorable outcome/total outcomes

P(9) = 1/4 = 0.25 or 0.25*100 = 25%

4 0

2 years ago

Write the equation of the line that goes through the points (-3, -2) and (4, 5).