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2 years ago

7 Each day from Monday to Friday, Enrico uses a rideshare scooter to

Mathematics

1 answer:

nekit [7.7K]2 years ago

7 0

Answer:

One all-around trip takes 2.6, while to and from work takes 1.3 miles

Step-by-step explanation:

We know that he rides to and from work from Monday to Friday. This is a total of five days, and since he goes to and from work, he does it twice, meaning he has 5 x 2 = 10 trips. These 10 equal trips all sum to 13 miles, so one trip takes 1.3 miles.

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Maths Questions box 51.The function f: R→ R is twice differentiable and for any x ER we have g(x) = f(4-x²), if f'(1) = -5 and f

mrs_skeptik [129]

By the chain rule,

$g(x) = f(4 - x^2) \\\\ \implies g'(x) = -2x f'(4 - x^2) \\\\ \implies g''(x) = -2 f'(4 - x^2) + 4x^2 f''(4 - x^2)$

Observe that

$4 - x^2 = 1 \implies x^2 = 3 \implies x = \pm\sqrt3$

Then

$g''(\sqrt3) = -2 f'(1) + 4\left(\sqrt3\right)^2 f''(1) = -2(-5) + 4(3)(-1) = \boxed{-2}$

5 0

1 year ago

Desiree created a website with separate pages for videos, games, photos and poems. She made the table below to

dusya [7]

Answer: 3 to 2

Step-by-step explanation:

You simplify the ratio :)

3 0

2 years ago

The sets D and J are given below.

sveta [45]

D n J = {7,8} (intersection)

Values that satisfy both sets.

D u J = {-1,1,4,5,7,8} (union)

All values present in both sets.

3 0

3 years ago

1) 3r² – 2r=-9<br> Quadratic formula

Nonamiya [84]

Answer:

Solving the equation $3r^2-2r=-9$ using quadratic formula we get: $\mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}$

Step-by-step explanation:

We need to solve the equation $3r^2-2r=-9$ using quadratic formula.

The quadratic formula is: $r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

For the given equation: $3r^2-2r=-9$

We can write it as: $3r^2-2r+9=0$

We have a = 3, b= -2 and c=9

Putting values in quadratic formula and finding value of r

$r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\r=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(9)}}{2(3)}\\r=\frac{2\pm\sqrt{4-108}}{6}\\r=\frac{2\pm\sqrt{-104}}{6}\\We\:know\:that: \sqrt{-1}=i\\ r=\frac{2\pm\sqrt{26} \:i}{6}\\ r=\frac{2+2\sqrt{26}\:i}{6}\:or\: r=\frac{2-2\sqrt{26}\:i}{6}\\ r=\frac{2(1+\sqrt{26}\:i)}{6}\:or\: r=\frac{2(1-\sqrt{26}\:i)}{6}\\ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}$

So, solving the equation $3r^2-2r=-9$ using quadratic formula we get: $\mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}$

3 0

3 years ago

Suppose that a monopoly has a profit function π(q) = pq - q2 where p denotes price and q denotes quantity. The demand function i

horrorfan [7]

a. R\p = (10 - q)*2

The inverse demand function is just the inverse function of the demand function. In other words, we just have to isolate p in the demand function:

p = (10 - q)*2

b. R\25

The price for 5 units of output is given by the inverse demand function:

p = (10 - 5)*2 = 10

We replace p in the profit function:

π(q) = 10 * 5 - 5² = 25

c. 3

For this one, we replace the inverse demand function in the profit function and derivate for q, then equate to 0 and solve:

π(q) = ((10 - q)*2)*q - q² = 20q - 2q² - q² = 20q - 3q²

dπ/dq = 20 - 6*q

20 - 6q = 0

q = 20/6 = 3.33333

Now, a decimal level of output makes no sense. So, now we try the nearest integers 3 and 4, and find the respectives profits. The output that has that maximum profit will be the one that maximizes the profit. Keep in mind, that this will only be true in this particular case because the profit function has the form of a quadratic equation:

π(3) = 20 * 3 - 3*(3)² = 33

π(4) = 20 * 4 - 3*(4)² = 32

The answer is 3.

4 0

3 years ago