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shtirl [24]
2 years ago
8

Determine whether the ordered pair (-5, 3) is a solution of the inquality y < 5x + 6.

Mathematics
2 answers:
AnnZ [28]2 years ago
8 0

Answer:

It is not.

Step-by-step explanation:

If you plug in (-5,3) for x and y, you'll get

3 < 5(-5)+6\\3 < -25+6\\3 < -19

That is incorrect. So it is not a solution

Vera_Pavlovna [14]2 years ago
3 0
No, it is not a solution.
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What is the domain and range of the function y = 2x2 - 4x - 10?
11111nata11111 [884]

Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

2(x^2-2x+1)=10+2

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

x^2-2x+1=(x-1)^2 and on the right we will just add 10 and 2:

2(x-1)^2=12

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

2(x-1)^2-12=y

From this vertex form we can see that the vertex of the parabola sits at (1,-12).  This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12.  Therefore, the range is R={y|y ≥ -12}

4 0
3 years ago
Can a line be parallel to a segemnt?
zmey [24]
Y<span>ou </span>can<span> describe </span>lines<span>, rays, and </span>line segments<span> by the way they meet or cross each other. Words </span>Parallel lines<span> are always the same distance apart. They do not meet. Words </span>Lines<span> that meet or cross each other are called intersecting </span>lines<span>. Hope this helps.</span>
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3 years ago
Find X<br> Please help asap!!
Law Incorporation [45]
I assume X= 100, since it look like 100 degree angle is equal to X angle
3 0
2 years ago
Read 2 more answers
To graph slope-intercept form, put a point at the _________, then use the _________ to rise and run
worty [1.4K]

Answer:

b and m or known the y-intercept and slope

Step-by-step explanation:

you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.

then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.

hope that helps

7 0
2 years ago
What is -15xy + 25x factored
Oksanka [162]

Since -5x is common to both factors, hence the factored form is;

-5x(3y - 5)

<h3>Factoring equation</h3>

Given the exprssion -15xy + 25x

Fing the factors of each term

-15xy = -5 * 3 * x * y

25x = 5 * 5 * x

Since -5x is common to both factors, hence the factored form is;

-5x(3y - 5)

Learn more on factored form here: brainly.com/question/43919

4 0
2 years ago
Read 2 more answers
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