All categories

3 years ago

Find the equation of the line shown. Enter yoir answwr in slope intercept form

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

Answer:

y = x

Step-by-step explanation:

The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.

Hope this helps!

-Luna

You might be interested in

What is the typical number of payments that can be made toward paying off a single payment loan?

valina [46]

Answer:

The correction option is B.

Step-by-step explanation:

Asking for typical no. of payments towards paying single payment loan
Since single payment loan should be paid in one shot
Therefore correct option is B i.e. one.

7 0

3 years ago

Read 2 more answers

Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

6 0

2 years ago

How do you get the number 24 with the numbers 2,6,4,1

elena55 [62]

Answer:

(2+6)*(4-1) = 24

(2-1)*(6*4) = 24

(2-1)*6*4 = 24

(2-1)*(4*6) = 24

(2-1)*4*6 = 24

(6+2)*(4-1) = 24

6*(2-1)*4 = 24

6/(2-1)*4 = 24

3 0

3 years ago

Yao's Asian Market sells dragon fruit for $3 each. The store usually sells 20 dragon fruits a week. Dragon fruit is in season, a

exis [7]

The quantity demanded would increase due to the cheaper price people would want to take advantage and buy it when it was on sale. There is not enough information to determine whether the supply or demand would maintain so D is your answer.

4 0

3 years ago

1. Complete the inequality below to describe the

dezoksy [38]

Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be

$- 4 < x \leqslant 4$

The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be

$- 2 \leqslant x < 5$

5 0

3 years ago

Read 2 more answers

Find the equation of the line shown. Enter yoir answwr in slope intercept form​

Find the equation of the line shown. Enter yoir answwr in slope intercept form