Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
Answer:
Step-by-step explanation:
lets replace x with 3
f(3)= -2(3)^3+3(3+2)=-2*27+15=-54+15=-39
To find the distance between points, use the distance formula.
Distance formula:

Plug in your values for

using (-8, -7) and (8, -4) and solve.





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Answer:
Approximately 16.28 units.
Answer:
It is 8n, because there is no greater term that is the factor of both 32n2 and 56n.
Step-by-step explanation:
The greatest common factor of the two expression is the term 8n.
It is the highest factor of both expressions that will divide them.
Given:
32n² 56n
Factor them:
2n(16n 28)
4n(8n 14)
8n(4n 7n) - Beyond this, no common factor can divide them both.
Therefore 8n is the greatest common factor of the two.