( 3X^2 - 5)( 4x^3 +7x + 2).
1 answer:
Answer:
12 + x³ + 6x² - 35x - 10
Step-by-step explanation:
(3x² - 5)(4x³ + 7x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(4x³ + 7x + 2) - 5(4x³ + 7x + 2) ← distribute parenthesis
= 12 + 21x³ + 6x² - 20x³ - 35x - 10 ← collect like terms
= 12 + x³ + 6x² - 35x - 10
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We want to solve the inequalities
x < 2
y ≤ 4x + 1
<span>Graph </span>the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)
x < 2
y ≤ 4x + 1
<span>Graph </span>the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)
The option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7], and the range is R: [–5, 1]
<h3>What is an ellipse?</h3>An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have an ellipse equation:
We can write the above equation as:
The domain will be:
D: [–5, 7]
The range will be:
R: [–5, 1]
Thus, the option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7] and the range is R: [–5, 1]
Learn more about the ellipse here:
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