If f(0) = -2 that means, when you put zero instead of x in the f(x) equation, it gives -2 as answer. m is given as 2/3. So,
f(x) = mx + b
f(0) = 2/3 * 0 + b = -2 then b = -2
Then you can write the general function as ;
f(x) = 2/3*m -2
And same steps for question 25;
m is given as -1/3
f(9) = -1/3 * 9 + b = 2 then b must be 5
Then the general form of the function;
f(x) = -1/3*m +5
<span>v = 4/3*pi*r^3
derivating both sides with respect to t
dv/dt = 4*pi*r^2*dr/dt
when d = 1.7, r = 0.85, and dv/dt = 2:
2 = 4*pi*(0.85)^2*dr/dt
thus
dr/dt = 1/(2pi*(0.85)^2)
=1/(2*3.14*0.85^2)
=0.22</span><span />
Answer:
Step-by-step explanation:
You're multiplying two factors together (because at the start, it says the product of)
The first factor is the quotient of A, and the sum of B and C, so A divided by (B + C)
The second factor is whatever the product of D and E is, so you have to multiply those together first
Every positive number has two square roots - a positive and a negative (unless the value is 0).
The length of something can only be a positive number and since there is only one positive square root, there is only one answer.
Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercept form of the equation of a line is:
y = mx + b
where m is the slope, and b is the y-intercept.
First, we find the slope of the line using the two given points.
m = slope = (y2 - y1)/(x2 - x1) = (2 - (-7))/(-1 - 2) = (2 + 7)/(-3) = 9/(-3) = -3
Now we plug in the slope we found into the equation above.
y = -3x + b
We need to find the value of b, the y-intercept. We use the coordinates of one of the given points for x and y, and we solve for b. Let's use point (2, -7), so x = 2, and y = -7.
y = -3x + b
-7 = -3(2) + b
-7 = -6 + b
Add 6 to both sides.
-1 = b
Now we plug in -1 for b.
y = -3x - 1
