Answer:
The values of y for each value of x are:


.

.


Step-by-step explanation:
We have all the values of x, they are from -3 to 3 passing for 0.
Now, we know that y is a quadratic function (y=x²+x+4)
Therefore, we just need to put each value of x into the quadratic equation to find each y value.
When:


We can do this for all values of x, so we will have:

.

.


I hope it helps you!
Answer:

Step-by-step explanation:
Parent function of the given graph is,
f(x) = 
If the parent function is shifted 2 units to he left the new function or image function will be,
g(x) = 
Therefore, graph will represent the graph of the function g(x) =
.
Answer:
No, a triangle could not have these side lengths.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Let's say side a = 1.2, b = 1.9, and c = 3.1, if we add a+b, then the sums are equal to side c. This would not satisfy the Triangle Inequality Theorem because one configuration of the equation results in the sum and third length being congruent, rather than greater.
It's 81 because 9*9 equals 81
Answer:
30 + 5<em>d</em> ≥ 120
Step-by-step explanation:
One ticket costs $120 and she already has $30 saved up so the money she makes by dogwalking added to the $30 has to be equal to or greater than 120
- 30 for the <u>amount she saved up</u>
- 5<em>d</em> where <u><em>d</em></u><u> stands for the number of days she walks dogs </u>
- Make this information into one part of the inequality: 30+5<em>d</em>
- Then this has to be greater than or equal to 120 so:
<u>30+5</u><em><u>d</u></em><u>≥120</u>
Hope this helps!