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Nuetrik [128]
3 years ago
12

Please show the full work

Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Answer:

(15,3)  (3,0)

Step-by-step explanation:

Putting y= 3  in the given equation

x-4y= 3

x= 4y+3

x= 4(3) +3

x=15

for y =3, x=15

Now putting x= 3

x-4y=3

3- 4y=3

-4y=3-3

-4y=0

y=0

for x=3 y=0

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What is the solution set to the following equation?
motikmotik

The solution set of the equation x^2 + 2x - 48 = 0 is x = -1 ± 7

<h3>How to determine the solution set of the equation?</h3>

The equation is given as:

x^2 + 2x - 48 = 0

A quadratic equation is represented as:

ax^2 + bx + c = 0

By comparing both equations, we have

a = 1, b = 2 and c = -48

The solution of the quadratic equation is then calculated using

x = (-b ± √(b^2 - 4ac))/2a

Substitute values for a, b and c in the above equation

x = (-2 ± √(2^2 - 4 * 1 * -48))/2 * 1

This gives

x = (-2 ± √196)/2

Evaluate the square root of 196

x = (-2 ± 14)/2

Divide through by 2

x = -1 ± 7

Hence, the solution set of the equation x^2 + 2x - 48 = 0 is x = -1 ± 7

Read more about quadratic equation at:

brainly.com/question/1214333

#SPJ1

3 0
2 years ago
The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distr
Oliga [24]

The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

<h3>How to evaluate the probability of a random variable getting at least some fixed value?</h3>

Suppose the random variable in consideration be X, and it is discrete.

Then, the probability of X attaining at least 'a' is written as:

P(X \geq a)

It is evaluated as:

P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)

The probability distribution of X is:

        x                      f(x) = P(X = x)

        6                               0.02
        7                               0.11

        8                               0.61

        9                               0.15

        10                              0.09

Worker working at least 8 hours means X attaining at least 8 as its values.

Thus, probability of a worker chosen at random working 8 hours is

P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.

By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.

The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

Learn more about probability distributions here:

brainly.com/question/14882721

7 0
3 years ago
A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are repre
kondaur [170]

Answer:3.6 m

Given:10cm=2m

Then, 5cm=1m

Therefore, (18/5)= lenght I'm meters on blueprint scale

(18/5)=3.6m

4 0
3 years ago
A rock climber's elevation above sea level changed −8212 feet in 214 minutes as she descended. What was the climber's average ch
stich3 [128]
Elevation per minute

elevationchange=-8212
timechange=214

elevation per minute=-8212/214=
-8132/214-80/214=
-38-40/107=
-38 and 40/107

answer is -38 and 40/107 ft per minute
6 0
3 years ago
It takes you 12 minutes
tester [92]

Answer:

48 minutes

Step-by-step explanation:

\frac{1}{5} x = 12

x = 60

60 - 12 = 48

It will take 48 more minutes to finish raking the backyard.

6 0
2 years ago
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