The <em>cost of the jacket</em> purchased using the <em>System of equation</em> is $46.16
<u>Given the cost prices</u> :
- Total cost = $95.11
- Cost of shoes = x
- Cost of jacket = x - 2.79
<u>We could set up an equation relating the cost of each item to the total Cost : </u>
<em>Total cost = cost of jacket + cost of shoes</em>
95.11 = x - 2.79 + x
95.11 = 2x - 2.79
95.11 + 2.79 = 2x
97.90 = 2x
x = 97.90 / 2
x = 48.95
Cost of jacket = $48.95 - 2.79 = $46.16
Therefore, Cost of jacket is $46.16
Learn more : brainly.com/question/24938959
Answer:
The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.
Step-by-step explanation:
The given graph is a transformed logarithm function.
The graph is obtained by shifting the parent function three units left.
The vertical asymptote is now
The x-intercept is where the graph intersect the x-axis, which is x=-2
Therefore the last option is correct.
<span>E[Y] = 0.4·1 + 0.3·2 + 0.2·3 + 0.1·4 = 2
E[1/Y] =0.4·1/1 + 0.3·1/2 + 0.2·1/3 + 0.1·1/4 = 0.4 + 0.15 + 0.0666 + 0.025?0.64
V[Y] =E[Y2]-E[Y]2= (0.4)·12+(0.3)·22+(0.2)·32+(0.1)·42-22= 0.4+1.2+1.8+1.6-4= 5-4 = 1</span>
The ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.
<u>Explanation:</u>
We need to find the time at which the ball will be at height 19 feet.
Equation:
h = 3 + 34t - 16t²
19 = 3 + 34t - 16t²
16 = -16t² + 34t
-16t² + 34t - 16 = 0
On solving the equation, we get
t1 = 0.7 s and t2 = 1.42s
Therefore, the ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.