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3 years ago

What is the vertex of the parabola y=2x2+20x-15? (5, 135) (-5, -165) (-5, -65)

Mathematics

1 answer:

maria [59]3 years ago

5 0

Answer:

-296=2×2+20×-15that is the answer

Step-by-step explanation:

you need to calculate the equation step by step to get to the answer

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The phases of the moon are periodic and repetitive. A new moon occurs when no moon is visible to an observer on

vfiekz [6]

Answer:

It's A

Step-by-step explanation:

Got it right on the practice :)

3 0

2 years ago

If your income is $18.00 and the prices of x and y are $4.00 and $2.00, respectively, what quantities of each will you purchase

boyakko [2]

Answer:

2 units of X and 5 units of Y

Step-by-step explanation:

(a) Utility is maximized when (MUx / Price of X) = (MUy / Price of Y)

This condition holds for the following cases

1. X = 4 (MUx / Px = 8 / 4 = 2) and Y = 6 (MUy / Px = 4 / 2 = 2)

2. X = 2 (MUx / Px = 16 / 4 = 4) and Y = 5 (MUy / Px = 8 / 2 = 4)

For the first case Total cost = 4 x $4 + 6 x $2 = $(16 + 12) = $28 (Budget is exceeded).

In the second scenario, Total cost = 2 x $4 + 5 x $2 = $(8 + 10) = $18 (budget is exhausted).

Optimal case contains X = 2 units, Y = 5 units.

6 0

3 years ago

Find the distance between (6,2) and (9,12)

bazaltina [42]

Distance bweteen (x1,y1) and (x2,y2) is
$D= \sqrt{(x2-x1)^2+(y2-y1)^2}$

so disatnce between (6,2) and (9,12) is
$D= \sqrt{(9-6)^2+(12-2)^2}$
$D= \sqrt{(3)^2+(10)^2}$
$D= \sqrt{9+100}$
$D= \sqrt{109}$

the distance is√109 units

8 0

2 years ago

Write (8a^-3)^-2/3 in a simplest form.

MrRa [10]

For this case we have the following expression:

$(8a^{-3})^{-\frac{2}{3}}$

For power properties we have:

$(8^{-\frac{2}{3}} a^{-3*-\frac{2}{3}})$

Rewriting the exponents of the expression we have:

$(8^{-\frac{2}{3}} a^{3*\frac{2}{3}})$

$(8^{-\frac{2}{3}} a^2)$

$(\frac{1}{8^{\frac{2}{3}}} a^2)$

Using the cubic root we have:

$(\frac{1}{\sqrt[3]{8^2}} a^2)$

$(\frac{1}{\sqrt[3]{64}} a^2)$

$(\frac{1}{\sqrt[3]{4^3}} a^2)$

Simplifying the expression we have:

$(\frac{1}{4} a^2)$

Answer:

The equivalent expression is given by:

$(\frac{1}{4} a^2)$

8 0

3 years ago

Read 2 more answers

Meredith read 21 out of 40 chapters of her library book What decimal represents the part of the chapters she has NOT yet read?

DerKrebs [107]

If she read 21/40, this means that she hasn’t read 19 of the 40 chapters.

You can divide 19/40 to get the decimal
19/40=0.475

Hope this helps!! :)

7 0

2 years ago