A function assigns the values. The correct option is graph X.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The function which is giving a constant term is the graph on the right, while the function where the value of x increases to positive infinity is the upper graph.
Hence, the correct option is graph X.
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4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
Answer:
The numbers:
1, -3, 2, -9, 3, -15, 4, -21,
are not linear.
Step-by-step explanation:
If it was linear:
4, 3, 2, 1, -3, -9, -15, -21
Answer:
(-3, 3) and (8, -8)
Step-by-step explanation:
having the rule (x + 3, y – 5) and an input point (x,y) you just plu th iput point into the rule and you will get the output point.
With an input point (-6,8) you plug -6 in for x and 8 in for y into the rule.
(x + 3, y – 5)
(-6 + 3, 8 - 5)
(-3, 3)
Now we do the same for (5, -3) as the input
(x + 3, y – 5)
(5 + 3, -3 - 5)
(8, -8)
Answer:
357
Step-by-step explanation:
A) We replace x = - 5 and u = 3 into -3x^3 -2y^2
and we have -3x^3 -2y^2= -3*(-5)^3 -2*3^2= -3*(-125)- 2*9
or -3x^3 -2y^2 = 375-18= 357
The answer is 357.
B) Replace h = -2 into h^2-3h+2
we have h^2-3h+2 = (-2)^2 -3*(-2) +2 = 4 +6 + 2= 12
The answer is 12
Have a good day.