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Harlamova29_29 [7]
3 years ago
14

Consider the system of equations shown below. y = negative 5 x + 1. y = negative 5 x + 10 When graphed, the system consists of t

wo lines that will never meet, no matter how far they are extended. Why are the lines parallel? The linear equations have the same slope and y-intercept. The linear equations have different slopes and y-intercepts. The linear equations have the same slope but different y-intercepts. The linear equations have different slopes but the same y-intercept.
Mathematics
2 answers:
Sophie [7]3 years ago
8 0

The reason why both graphs are parallel because they have the same slope but different y-intercept.

Think about it. If both graphs have same slope and same y-intercept. The graph will intercept each others infinitely.

Then if we change the y-intercept into any numbers that aren't the same as another equations for ex.

y = -5x+1 and y = -5x+10

then we will get the parallel graph. Or if you solve the equation, the equation will not be true, thus giving the graph parallel.

But if it is y = -5x+1 and y = -5x+1 which both are the same graph. Then the graph will intercept each others infinitely. Or if we solve the equation, we will get 0 = 0 which makes the equation true for all real numbers.

Therefore, the reason why both graphs are parallel is because that they have the same slope but different y-intercept.

That's all.

Dafna1 [17]3 years ago
6 0

Answer:

c

Step-by-step explanation:

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The cost of a pizza is 30 cents less than 8 times the cost of a soda . If x represents the cost of the soda in terms of cents .
Leno4ka [110]

Answer:

c = 8x-30

23x-90

Step-by-step explanation:

Since the cost of soda is x, 8 times the cost of soda is is 8x.

Then, you have to take 30 cents away, so the cost for pizza would be 8x-30 or 8x-.30.

This is your pizza or c.

Next, to put in 3 pizzas and 5 sodas, you just multiply 3 and 5 by the corresponding variables.

So 3(8x-30) + 5(x) = 18x - 90 + 5x = 23x - 90 or 23x - .90

8 0
3 years ago
Consider the line given by the equation: 2x - y= -2
Klio2033 [76]

Answer:

Step-by-step explanation:

look at 2=x-y=2

move this term to the left (2)

it becomes 2=x-y+2=0

and thats your results

Examples: x^2-2x=-1, 3x-x-x+a-a=5, (x^2-1)/(x+1), 2x-(x+x)

7 0
3 years ago
In Science class, Mrs. Olson had 30.6 pounds of metamorphic rock. Mrs. Olson had to divide the rocks into 9 different containers
JulijaS [17]

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7 0
3 years ago
Read 2 more answers
The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
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