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3 years ago

6

graph these two equations The quadratic equation y = –6 x 2 + 100 x – 180 models the store daily profit, y, for selling soccer b

alls at x dollars. The quadratic equation y = –4 x 2 + 80x – 150 models the store daily profit, y, for selling footballs at x dollars

1 answer:

kolezko [41]3 years ago

6 0

Solve the equations and plot the anwsers

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Solve for x, if a solution is extraneous identify in the final answer. thx :)

Fantom [35]

Answer:

x = 6 and x = 11.

Step-by-step explanation:

sqrt(x - 2) + 8 = x

sqrt(x - 2) = x - 8

(sqrt(x - 2))^2 = (x - 8)^2

x - 2 = x^2 - 16x + 64

x^2 - 16x + 64 = x - 2

x^2 - 17x + 66 = 0

We can use the discriminant to find whether there are solutions to the equation.

b^2 - 4ac; where a = 1, b = -17, and c = 66.

(-17)^2 - 4 * 1 * 66

= 289 - 264

= 25

Since the discriminant is positive, we know there are two valid solutions to the equation.

x^2 - 17x + 66 = 0

(x - 6)(x - 11) = 0

The solutions are when x - 6 = 0 and x - 11 = 0.

x - 6 = 0

x = 6

x - 11 = 0

x = 11

Hope this helps!

8 0

3 years ago

Read 2 more answers

Need answers ASAP there’s the question and the graph for support<br> .

rusak2 [61]

Answer:

you would save 10 dollars by buying the deluxe package instead of individuals

7 0

3 years ago

What are the domain and range of the function on the graph

Alex Ar [27]

<span>To find the domain, solve the inequality 4 - x > 0. x < 4. Thus, all numbers less than or equal to 4 represent thedomain for this function. When trying to find the domain and range from a graph, the domain is found by looking at the graph from left to right.</span>

5 0

3 years ago

Convert to rectangular form.

masya89 [10]

Answer:

-16 sqrt(3) +16i

Step-by-step explanation:

z = 2 cis (pi/6)

z^5 = 2^5 cis (5*pi/6)

z^5 = 32 cis (5pi/6)

z^5 = 32 cos (5pi/6) + 32 i sin (5pi/6)

= 32 * (-sqrt(3)/2) + 32i (1/2)

= -16 sqrt(3) +16i

3 0

3 years ago

ind two numbers such that the sum of their squares is 100. The square of the larger number is equal to the sum of the product of

katovenus [111]

Answer:

$a=\sqrt\frac{120}{13}$

$b=\frac{-7}{4}\sqrt \frac{120}{13}$

Step-by-step explanation:

Let the larger number is a and the smaller number is b.

According to the question,

a² + b² = 100 .... (1)

And

a² = a (4b + 8a)

a = 4b + 8a

b = -7a/4 ..... (2)

Put in equation (1)

$a^{2}+\left ( \frac{-7a}{4} \right )^{2}=100$

65a² = 100 x 16

$a^{2}=\frac{600}{65}$

$a=\sqrt\frac{120}{13}$

Put in equation (2)

$b=\frac{-7}{4}\sqrt \frac{120}{13}$

4 0

4 years ago