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2 years ago

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10. Jessica had dance class for 3 hours last night, Tiffany had dance class for of time that Jessica had dance class. How long d

id Tiffany have dance class?

2 answers:

Stolb23 [73]2 years ago

5 0

Answer:

i think theres a typo somewhere

Step-by-step explanation:

Firlakuza [10]2 years ago

5 0

6 hours cause 2 * 3 is 6

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If someone could help me out with this, I would greatly appreciate it!!

kati45 [8]

We are given that revenue of Tacos is given by the mathematical expression $-7x^{2}+32x+240$ .

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

$-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\$

Therefore, correct option for part (B) is the third option.

(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.

7 0

3 years ago

What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

Marat540 [252]

Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

Solve for x using:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

The general form of a quadratic equation is:

$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

$a = 1$ $b = -5$ $c = -7$

Substitute these values of a, b and c in

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

$x = \frac{5 \± \sqrt{25 +28}}{2}$

$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

4 0

3 years ago

What is the most efficient way to use surface area in math

timofeeve [1]

Answer: label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

4 0

3 years ago

15) g(n) = 2n + 5 f(n) = -4n-1 Find g(f(n))

Lisa [10]

Answer:

g[f(n)] = -8n+3

Step-by-step explanation:

Given,

g(n) = 2n + 5 , f(n) = -4n-1

Find g(f(n)),

Solutions,

g[f(n)] = g[-4n-1]

= 2(-4n-1) + 5

= -8n–2+5

g[f(n)] = -8n+3

Final Answer = g[f(n)] = -8n+3.

6 0

3 years ago

Julissa's dance class ended at 6:15 pm. It lasted 1 hour and 25 minutes.<br> What time did it start?

Vlad1618 [11]

Answer:

4:50

Step-by-step explanation:

3 0

3 years ago