Answer:
, and
Step-by-step explanation:
The vector equation of the line is:
The parametric equations of the line are:
and
The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.
<h3>What is polynomial?</h3>
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Factor completely 5ax² − 20x³ + 2a − 8x.
Take 5x² common from the first two terms and 2 from the last two terms. we have
5ax² − 20x³ + 2a − 8x
5x²(a − 4x) + 2 (a − 4x)
Take (a - 4) common, then we have
(5x² + 2) (y − 4x)
The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.
More about the polynomial link is given below.
brainly.com/question/17822016
We are given with the inequality |2x + 1| ≤ 5 and asked to solve the equation. In this case, we take first the positive side, that is 2x + 1 ≤ 5. this is equal to 2x ≤ 4 or x ≤ 2. For the negative side, the equality is -5 ≤ 2x + 1. This is equal to -6 ≤ 2x or -3 ≤ x. Hence the solution is -3 ≤ x ≤ 2. The answer is B. closed dots on -3 and 2 with shading in between. The equal in <span>≤ means closed dots.</span>
Answer:
Step-by-step explanation:
The rate of change is the slope. The rate of change is the greatest for the slope with the greatest absolute value. In the graph, this is shown with the steepest inclination. That occurs from x = 4 to x = 6.
Answer:
Answer:
The new length of the garden is 80 ft, the new width is 40 ft, and the total area of the new garden is 3200 ft². The area of the new garden will be 8 times larger than the current one. Jane should make her garden 4 times the current length.
Step-by-step explanation:
Juan's garden is 40 ft in length, he wishes to make the length 2 times longer:
Juan's garden is 10 ft in width, he wishes to make the width 4 times longer:
With a length of 80 and width of 40, the total area of the garden is
Since Juan wanted to make the length 2 times longer and the width 4 times longer, the total area of the garden will be
larger than the current garden.
Jane wants to make her garden 20 times the size. Since she's making her garden 5 times longer in width, she needs to make the length of her garden
4 times longer.