Y = 2x - 2 ⇒ 2x - y = 2 ⇒ 2x - y = 2
y = x + 2 ⇒ x - y = -2 ⇒ 2x - 2y = -4
 3y = 6
 3 3
 y = 2
 2x - 6 = 2
 +6 +6
 2x = 8
 2 2
 x = 4
 (x, y) = (4, 2)

8 0

3 years ago

Mark spends $36 at a basketball game. He buys a T-shirt for $22. He then buys a bottle of water for $4 and 2 tacos. How much is

Arturiano [62]

Answer:

each taco is $7.

Step-by-step explanation:

In total he spent $36. He bought a shirt for $22 and a bottle of water for $4.

22+4= 26

36-22= 14

14 divided by 2= 7

5 0

3 years ago

Read 2 more answers

What is the slope of the points (-2,7) and (2,-5)? 4 -3 -12 3

Dafna1 [17]

Answer:

-3

Step-by-step explanation:

Slope is equal to (-5-7)/(2-(-2)=-12/4=-3

6 0

2 years ago

Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a

Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given $y=\frac{\ln\left(5x)}{x^2}$

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

$y'=\frac{1-2\ln\left(5x)}{x^3}=0$

$x = \sqrt e/5$ is absolute maximum

$y''=\frac{6\ln\left(5x)-5}{x^4}=0$

$x=e^{5/6}/5$ is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

4 0

3 years ago