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forsale [732]
3 years ago
6

How many solutions are there to the system of equations?

Mathematics
2 answers:
hichkok12 [17]3 years ago
7 0

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1

You can identify that:

m=0.8\\b=-1

Apply the same procedure with the second equation. Then:

-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1

You can identify that:

m=0.8\\b=1

The slopes of both lines are equal, therefore  the lines are parallel and the system has NO SOLUTION.

AfilCa [17]3 years ago
4 0

answer: <u>A</u>

(no solutions)

your welcome

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Suppose that 45% of people have dogs. If two people are randomly chosen, what is the probability that they both have a dog
mylen [45]

Answer:

P(Dogs) = 0.2025

Step-by-step explanation:

Given

Proportion, p = 45\%

Required

Probability of two people having dog

First, we have to convert the given parameter to decimal

p = \frac{45}{100}

p = 0.45

Let P(Dogs) represent the required probability;

This is calculated as thus;

<em>P(Dogs) = Probability of first person having a dog * Probability of second person having a dog</em>

<em />

P(Dogs) = p * p

P(Dogs) = 0.45 * 0.45

P(Dogs) = 0.45^2

P(Dogs) = 0.2025

<em>Hence, the probability of 2 people having a dog is </em>P(Dogs) = 0.2025<em />

4 0
3 years ago
The price of a Tesla Model X was bought for \$80,000 and has depreciated 10.2% yearly. Find the price of the car 3 years later
ella [17]

Answer:

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6 0
2 years ago
The sum of three consecutive odd numbers in 177. What is the largest of the three numbers?
Vikentia [17]

Answer:

1st odd  = 57

2nd odd  = 59

3rd odd  = 61

Step-by-step explanation:

Suppose the numbers to be:

1st odd = x -2

2nd odd = x

3rd odd = x +2

Now according to given conditions:

1st odd + 2nd odd + 3rd odd = 177

x - 2 + x +x + 2 = 177

By add -2 and + 2 will be cancelled

Adding all x

3x = 177

Dividing both sides by 3 we get

x = 177 / 3

x = 59

Now putting x = 59 to get three consecutive odds:

1st odd = x -2 = 59 - 2 = 57

2nd odd = x = 59

3rd odd = x +2 = 59 + 2 = 61

Proof:

1st odd + 2nd odd + 3rd odd = 177

57 + 59 + 61 = 177

177 = 177

hence proved

I hope it will help you!

6 0
3 years ago
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(x-4) ( x-4)=0 explain , step by step please
Ganezh [65]

Answer:

x = 4

Step-by-step explanation:

<u>Step 1:  Set both parts equal to 0</u>

x - 4 = 0 and x - 4 = 0

<u>Step 2:  Solve for x by adding 4 to both sides</u>

x - 4 + 4 = 0 + 4 and x - 4 + 4 = 0 + 4

x = 4 and x = 4

Answer:  x = 4

3 0
3 years ago
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Jamal spent $6.75 on wire. Wire costs $0.45 per foot. How many feet of wire did Jamal buy?
kiruha [24]

Answer:

15

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8 0
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