Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).
First, we must find the slope (<em>m</em>).
where two points that fall on the line are and
Two points that are highlighted for us on the graph are (-3,-2) and (5,4). Plug these into the equation:
Therefore, the slope of the line is 3/4. Plug this into :
Now, to find the y-intercept (<em>b</em>), our first resort would be to find it on the graph. However, on the graph, it appears ambiguous. So, we must solve it algebraically.
Plug in the point (5,4) and solve for <em>b</em>:
Therefore, the y-intercept is . Plug this back into :
I hope this helps!
Answer:
Step-by-step explanation:
Let the width of the pool deck be x.
- Dimensions of the pool are 12 + 2x and 24 + 2x.
- Total area is 1408 ft².
<u>We have equation:</u>
- (12 + 2x)(24 + 2x) = 1408
- 12*24 + 12*2x + 24*2x + (2x)² = 1408
- 288 + 72x + 4x² = 1408
- 4x² + 72x + 288 - 1408 = 0
- 4x² + 72x - 1120 = 0
- x² + 18x - 280 = 0
- x² - 10x + 28x - 280 = 0
- x(x - 10) + 28(x - 10) = 0
- (x - 10)(x + 28) = 0
1)
2)
- x + 28 = 0
- x = - 28 (discarded as negative)
Correct choice is B
Answer:
The inverse of f(x)=3x+1 is f(x)−1=13x−13
Step-by-step explanation:
For area you would times the two sides you have together
10 x 10 = 100
Answer:
Step-by-step explanation:
1 km/h = (1000 m)/(3600 s) = 1/3.6 m/s
Then
225 km/h = 225(1/3.6) m/s = 62.5 m/s
In 15 seconds, that's ...
(15 s)(62.5 m/s) = 937.5 m