Answer:
20
Step-by-step explanation:
To solve this you have to make a system of equations.
Since the father and son's age sum up to 60, the first equation will be:
f + s = 60
Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:
6 - (5s) = f
Now, you have to solve the first equation to let it equal to s
f + s = 60
f = 60 - s
Plug in
6 - 5s = 60 - s
+s +s
6 - 4s = 60
-6 -6
---------------------
-4s = 54
----- -----
-4 -4
s ≅ 14
14 + 6 = 20
I think it would be 21 points total for 7 correct awnsers I did the math hope it helps
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
The slope intercept form of equation of required line is y = 3x + 9
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m =
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope = 3
The line passes through (8, 33)
Equation of required line
y - 33 = 3(x - 8)
y - 33 = 3x - 24
y = 3x - 24 + 33
y = 3x + 9
To learn more about equation of line in slope intercept form, refer to the link:
brainly.com/question/25514153
#SPJ1
Answer:
The "3y" in the first term is a factor
The "9" in the second term is a coefficient
The "(7 + 2x)" in the first term is a factor
Step-by-step explanation:
Given in the question an expression
3y(7 + 2x) + 9xy - 10
- The coefficients are the numbers that multiply the variables, x and y.
<h3>Example</h3>
6y
6 is coefficient
2.Constants are terms without variables
<h3>Example</h3>
10
3.The factors in a mathematical expression are parts of the expression that are connected with multiplication.
<h3> Example</h3>
(4x+1)(3x+7)
(4x+1) and (3x+7) both are factors