Answer:
D
Step-by-step explanation:
In 6 batches of cookies she would use 7.5 cups of flower.
When you have a function that is in the form of (f(x))^n, the derivative of the function will have the formula:
n * (f(x))^(n-1) * f'(x)
The given function is:
y = (3x+x^2) ^ 5
Based on the above, the derivative with respect to x would be:
5 * (3x+x^2)^(5-1) * f'(3x+x^2)
This would give a result of:
5 * (3x+x^2)^4 * (3+2x)
Comparing the calculated derivative with the given choices, the right choice would be:
B. 5 * (3x+x^2)^4 * (3+2x)
Answer:
Step-by-step explanation:
To find the slope, use the equation
where (-1, 7) and (4, -1) is (x1, y1) and (x2, y2) respectively.
Hence, the slope will be
Simplify:
or
What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:
(14x+4)+(16x-4)=180
After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.