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3 years ago

For the following equation, compute the x- and y- intercepts to graph the line.

Mathematics

1 answer:

nikklg [1K]3 years ago

7 0

X-intercept: (-5,0)
Y-intercept: (0,4)
To solve for the X-Intercept, substitute 0 for y and solve for x.
To solve for the Y-Intercept, substitute 0 for x and solve for y.

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Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .

aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = $r_{0}$ + t.v

where

$r_{0}$ is the position vector;

v is the vector;

For point (7,4,5):

$r_{0}$ = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = $x_{0}$ + at

y = $y_{0}$ + bt

z = $z_{0}$ + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

4 0

2 years ago

Hi can someone help me with this?

zalisa [80]

Answer:

$2^{2}$ or 4

Step-by-step explanation:

7 0

2 years ago

Question:

prohojiy [21]

Let f(x) = p(x)/q(x), where p and q are polynomials and reduced to lowest terms. (If p and q have a common factor, then they contribute removable discontinuities ('holes').)
Write this in cases:
(i) If deg p(x) ≤ deg q(x), then f(x) is a proper rational function, and lim(x→ ±∞) f(x) = constant.
If deg p(x) < deg q(x), then these limits equal 0, thus yielding the horizontal asymptote y = 0.
If deg p(x) = deg q(x), then these limits equal a/b, where a and b are the leading coefficients of p(x) and q(x), respectively. Hence, we have the horizontal asymptote y = a/b.
Note that there are no obliques asymptotes in this case. ------------- (ii) If deg p(x) > deg q(x), then f(x) is an improper rational function.
By long division, we can write f(x) = g(x) + r(x)/q(x), where g(x) and r(x) are polynomials and deg r(x) < deg q(x).
As in (i), note that lim(x→ ±∞) [f(x) - g(x)] = lim(x→ ±∞) r(x)/q(x) = 0. Hence, y = g(x) is an asymptote. (In particular, if deg g(x) = 1, then this is an oblique asymptote.)
This time, note that there are no horizontal asymptotes. ------------------ In summary, the degrees of p(x) and q(x) control which kind of asymptote we have.
I hope this helps!

4 0

2 years ago

P Simplify using

san4es73 [151]

Answer:

Answer’s 43

Step-by-step explanation:

6+3=9

7(9)-4x5

63-4x5

63-20

Answer: 43

4 0

2 years ago

Please help me and show your work

morpeh [17]

Answer:

Step-by-step explanation:

y = 3x + 4

Plugin x = 3 in the equation,

y = 3*3 + 4

= 9 + 4

y = 13

Plugin x = 4 in equation,

y = 3*4 + 4

= 12 + 4

y = 16

Plugin x = 5 in the equation,

y = 3*5 + 4

= 15 + 4

y = 19

2) y =x - 7

Plugin x = 10 in the equation

y = 10 - 7

y = 3

Plugin x = 15 in the equation

y = 15 - 7

y = 8

Plugin x = 20 in the equation

y = 20 - 7

y = 13

6 0

2 years ago