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3 years ago

Analyze the solution set of the following system by

Mathematics

1 answer:

RSB [31]3 years ago

7 0

Answer:

Slope -intercept for of equation 1: $y=-2x+5$

Slope -intercept for of equation 2: $y=-2x+3$

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

Step-by-step explanation:

We need to write equations in slope-intercept form.

The general formula of slope-intercept form is: $y=mx+b$ where m is slope and b is y-intercept.

The first equation is:

$2x+y=5$

Slope-intercept form:

$y=-2x+5$

The second equation is: $3y=9-6x$

Rearranging: $3y=-6x+9$

Slope-intercept form:

$y=\frac{-6}{3} x +\frac{9}{3}\\y=-2x+3$

Slope -intercept for of equation 1: $y=-2x+5$

Slope -intercept for of equation 2: $y=-2x+3$

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

They have different y-intercepts.

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What is the radius of the circle given the equation x2 - 6x + y2 + 10y - 2 = 0?

Bezzdna [24]

4x+12y=2
2=4x+12y
2x+6y

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3 years ago

Rabies is a viral disease of mammals transmitted through the bite of a rabid animal. The virus infects the central nervous syste

lisabon 2012 [21]

Answer:

(a) The value of x is 0.30.

(b) The probability that a reported case of rabies is not a raccoon is 0.45.

Step-by-step explanation:

Denote the events as follows:

R = reported case of rabies is a raccoon

F = reported case of rabies is a fox

B = reported case of rabies is a bat

O = reported case of rabies is a some other animal.

The data provided is:

P (R) = 0.55

P (F) = 0.11

P (B) = 0.04

P (O) = x.

(a)

A property of a probability distribution is that the sum of all individual properties is 1.

That is, $\sum P(X)=1$

Compute the value of x as follows:

$\sum P(X)=1\\P(R)+P(F)+P(B)+P(O)=1\\0.55+0.11+0.04+x=1\\0.70+x=1\\x=1-0.70\\x=0.30$

Thus, the value of x is 0.30.

(b)

The probability of the complement of an event is the probability of its not happening.

$P(A^{c})=1-P(A)$

Compute the probability that a reported case of rabies is not a raccoon as follows:

$P(R^{c})=1-P(R)\\=1-0.55\\=0.45$

Thus, the probability that a reported case of rabies is not a raccoon is 0.45.

(c)

Compute the probability that a reported case of rabies is either a bat or a fox as follows:

$P(B\cup F)=P(B)+P(F)\\=0.11+0.04\\=0.15$

Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.

4 0

3 years ago

Simplify 12y^7/18y^-3. Assume y=0

gulaghasi [49]

Answer:

its the third one i got that

6 0

3 years ago

Read 2 more answers

Four hundred people were asked whether gun laws should be more stringent. three hundred said "yes," and 100 said "no." the point

Anna11 [10]

To find relative frequency of no voters;

p(A)=favourable outcomes/total outcomes

p(A)=100/400

= 1/4 or 0.25

Therefore, the probability a person will respond with a no is 0.25.

Hope I helped :)

8 0

3 years ago

Form the quadratic equation whose one root is 2 + 2^(1/2)

Oksanka [162]

9514 1404 393

Answer:

x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

(x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

(x -2)^2 -(√2)^2 = 0

x^2 -4x +4 -2 = 0

x^2 -4x +2 = 0 . . . . the equation you're looking for

4 0

3 years ago