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vredina [299]
4 years ago
15

In which quadrant does the solution to the system fall?

Mathematics
1 answer:
goldenfox [79]4 years ago
4 0
Y=x-1    eqn 1
y=-3x-5 eqn 2
subtracting 1 from 2 we get 
0 = 4x + 4 
hence x= -1 
therefore y = -1-1 = -2 
so (-1,-2 ) falls in III quad.
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Determine which lines in the diagram are parallel. A) a || b B) b || c C) a || c D) b || d
spayn [35]

Line a and line c are parallel lines that are given as a || c. Then the correct option is C.

<h3>How are parallel straight lines related?</h3>

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Then we have

The distance between line a and line c is constant. Then line a and line c are parallel lines.

Line a || line c. Then the correct option is C.

Learn more about parallel lines here:

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7 0
2 years ago
When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?
34kurt
For the sake of example, let's multiply the two numbers 2.3 \times 10^5 and 3.5 \times 10^7 together. Altogether, we have:

2.3\times10^5\times3.5\times10^7

Rearranging the expression, we can group the exponents and coefficients together:

2.3\times3.5\times10^5\times10^7

Multiplying each out, we notice that since 10^5 and 10^7 have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:

2.3\times3.5\times10^{5+7}=8.05\times10^{12}

The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and <em>adding</em> its exponents.
8 0
4 years ago
Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)}
ludmilkaskok [199]

Answer:

B.

Step-by-step explanation:

Domain is the x-coordinate and the range is the y-coordinate.

B. Domain: {7}

Range: {-4, -2, 1, 4, 6}

6 0
3 years ago
Probability scenarios?
velikii [3]

Here are some probability scenarios.

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- Thinking to yourself:  "Is it going to rain or hail?"

- Spinning a spinner and seeing what color it lands on.

-  Probability in winning the lottery.

-  Having 5 pairs of black shoes and one pair of yellow shoes.

 The probability of picking the yellow shoe is 1/5.

There are lots of more examples out there!

<em>Hope helps!-Aparri </em>

4 0
3 years ago
If f(x)= x^1/2 - x and g(x)= 2x^3 - x^1/2 - x, find f(x) - g(x)
Pavlova-9 [17]

Answer:

-2x^3+2x^{1/2}

Step-by-step explanation:

First, you have to substitute both functions into the equation to get:

f(x)-g(x) = (x^{1/2}-x) - (2x^3-x^{1/2}-x)

Then, you distribute the negative sign in front of g(x) to get:

= x^{1/2} - x -2x^3+x^{1/2}+x

And finally, you add/subtract the x's that have the same power to get:

=-2x^3+2x^{1/2}

3 0
3 years ago
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