Answer:
S(t) = 4.725t + 478.25
S(t) = 4.725(42)+478.25
S(t) = 676.7
Step-by-step explanation:
In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.
Order the pairs to get:
(30,620) and (70, 809)
With these values, you use the the equation 
to get the slope m.
Use this equation and input any ordered pair to get the final function.
y-y1 = m(x-x1)
y-620 = 4.725x-141.75
y = 4.725x + 478.25
Replace x with t and y with S(t) to fit the x & y axis of the question.
Answer:
about 21.3
Step-by-step explanation:
I found the hypotenuse value by doing the Pythagorean theorem.
a^2+b^2=c^2.
"a" and "b" are the values of the legs, and "c" is the value of the hypotenuse. So, "a" is 14 and "b" is 16.
14^2+16^2=c^2
196+256=452.
Now, I found the square root of 452. The square root of 452 is 21.26029163. This value rounded to the nearest tenth is 21.3.
In conclusion, the length of the hypotenuse rounded to the nearest tenth is 21.3 inches.
Answer:
x = 3
Step-by-step explanation:
Given
x - 4 = - 2
Multiply through by 3 to clear the fraction
2x - 12 = - 6 ( add 12 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
C) because you can divide both by 15 and 30÷15 = 2
<u><em>Answer:</em></u>
{x | x = 0.5 or x = 4.5}
<u><em>Explanation:</em></u>
<u>Before we begin, remember that:</u>
The modulus gives the positive value of what's inside it.
<u>This means that:</u>
|a| = |-a| = a
<u>Now, for the given, we have:</u>
|2x-5| = 4
<u>From the above rule, we can deduce that:</u>
<u>either:</u>
2x - 5 = 4
2x = 4 + 5 = 9
x = 4.5 ............> first solution
<u>Or:</u>
2x - 5 = -4
2x = 5-4 = 1
x = 0.5 ..........> second solution
<u>Now, we check:</u>
<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified
<u>at x = 0.5</u>: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified
Hope this helps :)
