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Agata [3.3K]
3 years ago
10

Write an equation for the line that is parallel to y = −2x and passes through the point (0, −7).

Mathematics
2 answers:
Elden [556K]3 years ago
8 0
Input the equation into Desmos. It’s really useful for graph stuff and does the work for you
anygoal [31]3 years ago
4 0

Answer:

D) y = -2x − 7

Step-by-step explanation:

Parallel lines have the same slope, so m = -2.

The y-intercept is (0, -7), so b = -7.

Therefore, the line is y = -2x − 7.

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What are the points of discontinutity y=(x-3)/x^2-12x+27
madreJ [45]

Answer:

(3, -\frac{1}{6})

Step-by-step explanation:

We can rewrite the equation as

y = \frac{x - 3}{(x - 3)(x - 9)}

Notice that we have x - 3 in both the numerator and the denominator, so it looks like we can divide it out. However, what if x - 3 is 0? Then we would have y = \frac{0}{0 \times (x - 9)} = \frac{0}{0}, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for x = 3, but this one is not).

A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at x = 3. In the simplified version of the function, if we plug in x = 3, we get

y = \frac{1}{((3) - 9)} = -\frac{1}{6}

So the point (3, -\frac{1}{6}) is our only point of discontinuity.

It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at x = 9 (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of x

5 0
3 years ago
Read 2 more answers
Solve the following equation. Then place the correct mixed number in the box provided. 5x/7=22
natka813 [3]
We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5

the answer is
x=30 4/5</span>
7 0
4 years ago
Consider the equation 1+n+6/n+1=4/n-2
Inga [223]
A. The LCD is (n+1)(n-2)

B. n = -1, n = 2

C. n = negative 1 plus or minus the square root of 73, everything divided 2.

I’ve add a picture of the answers at the bottom in case I wasn’t clear on question C.

Hope that helps.

8 0
4 years ago
Read 2 more answers
This year, for the spring musical, the Drama Club sold 150% of the number of tickets they sold last year. Last year, the club so
babunello [35]

Answer:

C. 342

Step-by-step explanation:

This year, 150% of last year's tickets were sold.

Last year, 228 tickets were sold.

150% as a fraction is 150/100

To find the amount of tickets sold this year, we take the 150/100 and multiply it by 228:

150/100*228= 342 tickets

7 0
3 years ago
Please help with this algebra problem!! thanks
saw5 [17]

5.7t < 420  divide both sides by 5.7

5.7      5.7  

t < 73.68

5 0
4 years ago
Read 2 more answers
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