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3 years ago

How do the real solution of a quadratic equation show on a graph of that equation?

Mathematics

1 answer:

NeX [460]3 years ago

5 0

Answer:

They show as intersections with the x-axis

Step-by-step explanation:

For example, the quadratic y = x² - 1 has roots x = -1 and x = 1.

They show on the graph as intersections of the parabola with the x axis at x = -1 and x = 1.

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The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x-175. The cost, in dollars, of

OleMash [197]

I,550 because of the grid and the number lines of the equation

8 0

4 years ago

Five minutes on the clock

Nuetrik [128]

Answer:

15/32 cm²

Step-by-step explanation:

Area of rectangle = l × b

=> 3/4 × 5/8

=> 15/32

Therefore,

Area of rectangle is 15/32 cm²

4 0

3 years ago

Read 2 more answers

I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The

chubhunter [2.5K]

Answer:

Length = $5\ \text{ft}$

Breadth = $5\ \text{ft}$

Step-by-step explanation:

Let $x$ be the length of the garden

and $y$ be the width of the garden

From the details of the cost in the question we get

$20x+2\times (10y)=200\\\Rightarrow 20x+20y=200\\\Rightarrow x+y=\dfrac{200}{20}\\\Rightarrow x+y=10\\\Rightarrow y=10-x$

Now area of the garden is

$A=xy\\\Rightarrow A=x(10-x)\\\Rightarrow A=10x-x^2$

Differentiating with respect to x we get

$\dfrac{dA}{dx}=10-2x$

Equating with 0

$0=10-2x\\\Rightarrow x=\dfrac{-10}{-2}\\\Rightarrow x=5$

Double derivative of the area is

$\dfrac{d^2A}{dx^2}=-2$

So, area is maximum at $x=5$

$y=10-x=10-5\\\Rightarrow y=5$

So, the length and breadth of the rectangle is $5\ \text{ft}$ .

5 0

3 years ago

Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink ha

ICE Princess25 [194]

Answer:

Sugar concentration of the mixed soft drink will be 32.5%.

Step-by-step explanation:

Sugar concentration of first drink = 20%

Volume of first soda = 250 ml

Sugar in first soda = 20% of 250 ...... (1)

Sugar concentration of second drink = 45%

Volume of second soda = 250 ml

Sugar in second soda = 45% of 250 ...... (2)

Let $x\%$ be the sugar concentration in resultant mixture.

Volume of mixture = 250 + 250 = 500 ml

Sugar in mixture = $x\%$ of 500 ml ...... (3)

Total sugar concentration (Adding (1) and (2)) and equating it to equation (3):

20% of 250 + 45% of 250 = $x\%$ of 500

$\Rightarrow \dfrac{20}{100} \times 250 + \dfrac{45}{100} \times 250 = \dfrac{x}{100} \times 500\\\Rightarrow 2 \times x = 65\\\Rightarrow x = 32.5\%$

Hence, Sugar concentration of the mixed soft drink will be 32.5%.

8 0

3 years ago

A pigeon can fly 800 meters in one minute. How far does a pigeon fly in 25 minutes?

Lorico [155]

Answer:

d 20,000

Step-by-step explanation:

7 0

3 years ago

How do the real solution of a quadratic equation show on a graph of that equation?​

How do the real solution of a quadratic equation show on a graph of that equation?