Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.
We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.
We are told that 4 years ago Kevin was 5 times as old as Daniel. We can write this information as:
Now let us solve our equation to find Daniel's present age.
Daniel's present age is 8 years. Now we will multiply 8 by 3 to get Kevin's present age as Kevin is 3 times old as Daniel.
Therefore, Kevin is 24 years old now.
Answer:
<h2> 21 km </h2>
Step-by-step explanation:
If the bicyclist travels 7 km for every 5 minutes then it is directly proportional
5 min 7 km
15 min x
Determine the slope of line AB
m = 5
Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5
Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.
The answer is first option.
T's solve your equation step-by-step.<span><span><span>14</span><span>(<span><span>4x</span>+15</span>)</span></span>=24</span>Step 1: Simplify both sides of the equation.<span><span><span>14</span><span>(<span><span>4x</span>+15</span>)</span></span>=24</span><span><span><span><span>(<span>14</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>14</span>)</span><span>(15)</span></span></span>=24</span>(Distribute)<span><span>x+<span>15/4</span></span>=24</span>Step 2: Subtract 15/4 from both sides.<span><span><span>x+<span>15/4</span></span>−<span>15/4</span></span>=<span>24−<span>154</span></span></span><span>x=<span>81/<span>4</span></span></span>
Answer:
y = ( x-2)(x+7)
Step-by-step explanation:
y = x^2 + 5x - 14
What 2 numbers multiply to -14 and add to 5
-2 * 7 = -14
-2+7 = 5
y = ( x-2)(x+7)
