-5/4c - 1/2 = -3/4 + 5/8c

The graph shows the solution of a system of equations.how many solutions does it have

slavikrds [6]

Answer:

1

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

We will have 1 solution set when the lines cross once.

We will have no solutions when the lines are parallel.

We will have infinite solutions when the lines are the same.

According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.

6 0

3 years ago

Read 2 more answers

Mrs. Romano bought eight toy trucks for $1.75 each. She paid for the trucks with a $20.00 bill. How much change should she recei

viktelen [127]

Answer: 6

Step-by-step explanation:

1.75 X 8 = 14

20-14=6

Try that.

3 0

3 years ago

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

2 years ago

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Richard rolls a fair dice 72 times.

Strike441 [17]

Answer:

24

Step-by-step explanation:

there are six sides of a dice, numbered one through six. 5 and 6 are greater than four, so there is a 2/6 chance that you will roll a number greater than 4, or 1/3. multiply 72 times 1/3 and that equals 24. 24 out of the 72 (24/72 = 1/3)times is how much you could expect to get a number greater than 4.

4 0

2 years ago

Evaluate the difference quotient for the function

Alexeev081 [22]

Answer:

my pp is bigger than the holocaust

Step-by-step explanation:

4 0

4 years ago