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1 year ago

The lines represented by the equations y = -X – 3 and

Mathematics

1 answer:

xz_007 [3.2K]1 year ago

3 0

The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.

<h3>What is linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equation of the line:

y = -x -3 and

5y + 5x = -15

From the equation 5y + 5x = -15:

Divide by 5 on the above equation:

y + x = -3

y = -x -3

The two equations y = -x -3 represents the same line.

Thus, the equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.

Learn more about the linear equation here:

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Stacy earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equatio

Airida [17]

Answer: .50x+15=25

I hope this helps.

6 0

3 years ago

What is StartFraction negative 23 over 6 EndFraction minus StartFraction 7 over 3 EndFraction

creativ13 [48]

Answer: $\frac{16}{3}$

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3. The annual per capita consumption of fresh bananas in the United States can be approximated by a normal distribution, with a

svlad2 [7]

Answer:

The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

Step-by-step explanation:

Given

μ = Mean = 10.4 lb

σ = Standard deviation = 3 lb

Using a confidence level of 90%,

We'll need to first determine the z value that correspond with bottom 5% of consumption of banana

α = 5%

α = 0.05

So,

zα = z(0.05)

z(0.05) = -1.645 ----- From z table

Let x represent the largest annual per capita consumption of bananas

The relationship between x and z is

x = μ + zσ

By substitution;

x = 10.4 + (-1.645) * 3

x = 10.4 - 4.935

x = 5.465

Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

6 0

3 years ago

george is 2 years older than sam and sam is 3 years older than alex. the total of their ages is 35. write and solve the equation

Darina [25.2K]

This breaks down into a system of equations. George will equal G, Sam will equal S and Alex will equal A. G=S+2 S=A+3 G+S+A=35 since S=A+3, we can substitute S for (A+3). If we plug that into the G=S+2, we get G=(A+3)+2. This simplifies to G=A+5.

our ultimate goal is to be able to substitute for two of their ages so we can solve the last equation for one age or variable. It would be easiest to solve for A.

so far we can substitute for two variables, S=A+3. and G=A+5

Next, we can plug this into the last equation and get 35=(A+3)+(A+5)+A
if we add like terms we get 35=3A+8. Next, we solve the equation by first subtracting 8 from each side. we then get 27=3A, then we divide each side by 3 to solve for A and get A=9.

Now we have one age, we need to find the other two. We can solve this by plugging A to the other two equations. if we do that we get S=(9)+3, or S=12. If we do it to the other equation we get G=(9)+5, or G=14

So your final answer would be George is 14, Sam is 12, and Alex is 9.

5 0

3 years ago

Solve the linear system of equations <br><br>3x+2y=7<br>-3x+4y=5<br><br>X= <br>Y=

Anon25 [30]

Answer :
X= 1 , Y = 2

Step-by-step explanation :

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3 years ago