All categories

3 years ago

What is the slope of the line? y + 5=2(x+1)

Mathematics

2 answers:

mel-nik [20]3 years ago

5 0

Answer:

Step-by-step explanation:

So we have the equation:

$y+5=2(x+1)$

This is in the format point-slope form, where:

$y-y_1=m(x-x_1)$

Here, m is the slope.

In our original equation, 2 replaces m.

Therefore, our slope is 2.

earnstyle [38]3 years ago

3 0

Answer:

Step-by-step explanation:

Put the line into slope intercept form:

y + 5 = 2(x+1)

Distribute the 2

y + 5 = 2x + 2

Isolate y to put into y = mx + b form

y = 2x - 3

So, the slope is 2 because it is the coefficient to x.

You might be interested in

1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n

Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

70% of fatalities involve an intoxicated driver, hence $p = 0.7$ .

A sample of 15 fatalities is taken, hence $n = 15$ .

The probability is:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

Hence

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061$

$P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186$

$P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700$

$P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916$

$P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305$

$P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047$

Then:

$P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215$

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0

3 years ago

Carly wants to buy some notebooks that cost $3.50 each. She has $20 to spend. She set up this inequality to find out how many no

ankoles [38]

Answer:

Step-by-step explanation:

You have to use the number in the variable to figure out if the number multiplied by 3.5 goes over 20 dollars. The highest you can go without going over 20 dollars is 5 notebooks

4 0

3 years ago

Read 2 more answers

The length of a rectangle is 5t+6 and its height is t^6 , where t is time in seconds and the dimensions are in inches. Find the

Nataly_w [17]

$\bf \textit{area of a rectangle}\\\\
A=l\cdot w\qquad 
\begin{cases}
l=length\\
w=width\\
-----\\
l=5t+6\\
w=t^6
\end{cases}\implies A(t)=(5t+6)t^6
\\\\\\
A(t)=5t^7+6t^6\implies \cfrac{dA}{dt}=35t^6+36t^5$