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3 years ago

write the equation in slope intercept form for the line that passes through the point (1,2) and has a slope of -5

Mathematics

1 answer:

Vilka [71]3 years ago

6 0

Answer:

y = -5 × 1 + 2

Step-by-step explanation:

y = y, m = slope, x = x point given (1), b = y point given, unless a zero (2)
Formula - y = mx + b
Plug it in
y = -5 × 1 + 2

You might be interested in

What percent of 60 equals 36

melomori [17]

The 60% of the 60 equals 36 after expressed in the fraction of 100, so the answer is 60%.

<h3>What is the percentage?</h3>

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

Let's suppose the x% of 60 equals 36

So,

x% of 60 = 36

60x/100 = 36

6x/10 = 36

x/10 = 6

x = 60%

Thus, the 60% of the 60 equals 36 after expressed in the fraction of 100, so the answer is 60%.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

8 0

2 years ago

Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation option

denis-greek [22]

Answer:

The probability that he teleports at least once a day = $\mathbf{\frac{5}{9}}$

Step-by-step explanation:

Given -

Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation options teleport ride a dragon or walk to work and in the evening he has the same three choices for his trip home.

Total no of outcomes = 3

P( He not choose teleport in the morning ) = $\frac{2}{3}$

P( He not choose teleport in the evening ) = $\frac{2}{3}$

P ( he choose teleports at least once a day ) = 1 - P ( he not choose teleports in a day )

= 1 - P( He not choose teleport in the morning ) $\times$ P( He not choose teleport in the evening )

= $1 - \frac{2}{3}\times\frac{2}{3}$

= $\frac{5}{9}$

3 0

3 years ago

The output of a chemical process is continually monitored to ensure that the concentration remains within acceptable limits. Whe

marissa [1.9K]

Answer:

a) 0.31 = 31%

b) 0.03 = 3%

c) 0.36 = 36%

d) 2 times

Step-by-step explanation:

If $F_X(x)$ is the cumulative distribution function of the random variable X, then by definition the probability P of the random variable is given by

$P(X \leq x) = F_X(x)$

If additionally the random variable is discrete (only has non-negative integers as outcomes as is the case in this problem) then

$P(X=a)=F_X(a)-\lim_{x \to a^-}F_X(x)$

We are looking for P(X<2)

$P(X < 2) = P(X\leq 2)-P(X=2)=F_X(2)-\lim_{x \to 2^-}F_X(x)=0.84-0.53=0.31$

In this case we want P(X>3)

$P(X >3) = 1-P(X\leq 3)=1-F_X(3)=1-0.97=0.03$

Now, we are interested in P(X=1)

$P(X =1) =F_X(1)-\lim_{x \to 1^-}F_X(x)=0.53-0.17=0.36$

The expected number of times that the process is recalibrated during the week is the expected value of the probability distribution:

P(X=1)+2P(X=2)+...+nP(X=n)+...

But it is easy to see that P(X=n) = 0 if n is an integer >4

So, the expected value is

P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)

We already have P(X=1) and P(X=2). Let's compute the rest

$P(X =3) =F_X(3)-\lim_{x \to 3^-}F_X(x)=0.97-0.84=0.13$

$P(X =4) =F_X(4)-\lim_{x \to 4^-}F_X(x)=1-0.97=0.03$

and the expected value is

0.36 + 2*0.53+3*0.13+4*0.03= 1.93 = 2 times rounding to the nearest integer.

8 0

4 years ago

How many 5 - digit numbers have the second digit odd and the fifth digit at least four times the second digit?

andrezito [222]

Why :

this is type of casework

- B can only be 1

so E = 4

9 x 1 x 10 x 10 x 1 = 900

and so, theres only one possible.

8 0

2 years ago

Read 2 more answers

2. The equation of a circle is x^2 + 2x + y^2 + 6y = 0.

pentagon [3]

Answer:

a)
${x}^{2} + 2x + {y}^{2} + 6y = 0$
${x}^{2} + 2x + 1 + {y}^{2} + 6y + 9 = 10$
${(x + 1)}^{2} + {(y + 3)}^{2} = 10$
b)
center I(-1;-3)

$radius = \sqrt{10}$

8 0

4 years ago