Answer:
Slower speed = 9 mph
Step-by-step explanation:
Let the initial speed (slower speed) = s mph
Speed 's' = 
s =
-------(1)
If the cyclist increases the speed by 3 mph then the final speed = (s + 3) mph
He can reduce the time 't' by 10 minutes (
hours)
Now, (s + 3) = 
s + 3 =
--------(2)
Substitute the value of 's' from equation (1) to the equation (2).






6t² - t = 2
6t² - t - 2 = 0
6t² - 4t + 3t - 2 = 0
2t(3t - 2) + 1(3t - 2) = 0
(2t + 1)(3t - 2) = 0
t =
hours
But the time can't be negative.
Therefore, t =
hours is the answer.
From equation (1),
s = 
s = 9 miles per hour.
Slower speed = 9 mph is the answer.
<span>Leah, Let x=Blair's fish and 2x= Jay's fish; yet together they caught 27 fish. So, x + 2x=27; Combine the like terms. So, 3x=27; Now divide both sides of the equation by 3, therefore, x=9 which is the amt of fish Blair caught. So, 2(9)=18 is the amt of fish Jay caught. Check: 9 +2(9)=27; 27=27.</span>
Answer:
4 stones is the answer use basic mathematics
The y-intercept of linear function (f- g)(x) is (0,9)
<h3>How to determine the y-intercept?</h3>
The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:

So, we have:

Evaluate
f(x) = -2x + 3
Also, we have:

Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
Read more about linear functions at:
brainly.com/question/24896196
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I did get the one in the tux ♂️ and the other one ☝️