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3 years ago

Use the parabola tool to graph the quadratic function. f(x)=2x^2+12x+16

Mathematics

1 answer:

viva [34]3 years ago

7 0

The first thing you should know is that you need three points to be able to graph a second degree equation.
You can create a table and plot several points to obtain the parabola
In this case we will use a computational tool called wolfram alpha
Answer:
See attached image.
The graph is shown for two different intervals of the domain.

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A pharmacist wants to mix a 30% saline solution with a 10% saline solution to get 200 mL of a 12% saline solution. How much of e

Bess [88]

Answer:

30% constituents=20 mL

10% constituents=180 mL

Step-by-step explanation:

x= 30% volume

y=10% volume

For our first equation, we know the total volume is 200 mL and is the sum

x+y=200

y=200-x (1)

For our second equation, we do a mass balance for 200 mL of final solution.

12% w/v = 0.12 g/mL

This means that in 1 mL of solution, we have 0.12 g of NaCl.

For any solution, concentration multiplied by volume will give the mass of NaCl:

Mass in x mL= C*V (g/mL) (mL)

So in 200 mL, we have

0.12*200 (g/mL) (mL)

=24g of NaCl

Cx*Vx + Cy*Vy=24

0.3x+0.1y=24 (2)

Substitute y=200-x into (2)

0.3x+0.1(200-x)=24

0.3x+20-0.1x=24

0.2x=24-20

0.2x=4

Divide both sides by 0.2

0.2x/0.2=4/0.2

x=20

Substitute x=20 into (1)

y=200-x

y=200-20

y=180

30% constituents=20 mL

10% constituents=180 mL

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2 years ago

Solve the quadratic equation (x-3)2 = 49

Tresset [83]

27.5, because 27.5-3=24.5 and 24.5x2= 49

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2 years ago

In two months, Mica spent a total of $305.43 on groceries. She spent $213.20 in the first month. How much did she spent in the s

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Mica spent $92.23 in the second month

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3 years ago

2) Complete the table. x 20 200 2000 15 20

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I think it’s 25 but I’m not too sure

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2 years ago

Find the distance between the points (4,-2) and (0,10)

vagabundo [1.1K]

We can solve this problem by using the distance formula. The distance formula is: $\sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}}$ We can now put in values and solve.

$\sqrt{(4-0)^{2} + (-2-10)^{2}}$

$\sqrt{16 + 144}$

$\sqrt{160}$

3 0

2 years ago