Answer:
y=3x+16
Step-by-step explanation:
slope=(4-10)/(-4+2)=-6/-2=3
or slope=(-14-4)/(-10+4)=-18/-6=3
eq. of line is y-10=3(x+2)
or y=3x+6+10
or y=3x+16
Answer:
dx/dt = 12 (in thousands of units /week)
Step-by-step explanation:
We have from problem statement that:
8*p³ + x² = 104 (1)
Where p is price in $, and "x" is the weekly sales in thousands of units
All variables x and p change in relation to time then
Differentiating on both sides of the equation, we get:
24*p²*dp/dt + 2*x*dx/dt = 0 (1)
We need to find dx/dt and we know
p = 20
x = 200
And price is falling at the rate of 0,5 $/week
Then plugging these values in equation (1)
24*p²*dp/dt = - 2*x*dx/dt
24*(20)²(-0,5) = -400*dx/dt
-4800 = -400*dx/dt
dx/dt = 4800/400
dx/dt = 12 (in thousands of units /week)
Answer:
The number that belongs <em>in</em> the green box is equal to 909.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
[<em>Right Triangles Only</em>] Pythagorean Theorem:

- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 30
<em>b</em> = 3
<em>c</em> = <em>x</em>
<em />
<u>Step 2: Find </u><u><em>x</em></u>
Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:
- [Pythagorean Theorem] Square root both sides [Equality Property]:

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:
- [Equation] <em>Substitute</em> in variables:

- <em>Evaluate</em>:

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.
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Learn more about Trigonometry: brainly.com/question/27707750
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Topic: Trigonometry
(2.7, 2.3)
(2, 1.7)
(1.7, 1.3)
again may be wrong
F(1) = 3
f(2) = 3 + 5 = 8
f(3) = 8 + 5 = 13
f(n) = 5(n - 1) + 3
f(n) = 5n - 2