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tino4ka555 [31]
3 years ago
11

Use graphing to find the solutions to the system of equations.

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.

This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.

-x^2 + y = 1
y = x^2 + 1

So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)

-x + y = 2
y = x +2

So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)

The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.
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The set S contains some real numbers, according to the following three rules. (i) 1 1 is in S. (ii) If a b is in S, where a b is
pogonyaev

Answer:

The solution is given in the pictures below

Step-by-step explanation:

4 0
3 years ago
Choose the correct correspondence<br> O &lt;-&gt;<br> Options <br> 1.D<br> 2.O<br> 3.K
Umnica [9.8K]

Answer:

O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle O is equal to Angle O as they are vertical angles across a vertex.

5 0
3 years ago
Read 2 more answers
How do you find velocity of a dt graph
givi [52]
Answer: to find velocity, simply put (d2-d1) over (t2-t1) or d/t.

Explanation: To find velocity, divide the change in distance by the change in time. On a graph, pick two points and find the slope of one portion of the line.
Why the slope?
Well this is like your normal x vs. y graph. X being the time and y being your distance.
To find the slope for this, it uses the same formula: (Y2-y1) / (x2-x1)

Hope this helps!!!
BTW, this is physics.
6 0
3 years ago
8 less than 2 times a number is greater than the sum of the same number and 9
lyudmila [28]

step-by-step explanation:

every time we see "a number" or "the same number," we can add a variable (we'll use x here).  rewriting the problem, we get: 8 less than 2 times x is gr8er than the sum of  x and 9.  

next, we can work backwards to write an inequality.  we know from the word problem above that the number on the left side of the equation is 8 less than 2x, so we can rewrite that part like this: 2x-8.

for the right side of the equation, all we have to do is simplify "the sum of x and 9" to x + 9.  so now the inequality should look like this: 2x - 8 > x + 9.  

now we'll solve the inequality just like an equation: subtract x from both sides of the inequality, so now we have: x - 8 > 9.

then, we can add 8 to both sides to get the x by itself, and we get the answer: x > 15

hope this helps! <em>:)</em>

4 0
3 years ago
Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8
Levart [38]

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

here [ a, b ] = [ - 7, - 1 ]

f(b) = f(- 1) = (- 1)² + 2(- 1) - 8 = 1 - 2 - 8 = - 9

f(a) = f(- 7) = (- 7)² + 2(- 7) - 8 = 49 - 14 - 8 = 27

Hence

average rate of change = \frac{-9-27}{-1-(-7)} = \frac{-36}{6} = - 6

4 0
3 years ago
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