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3 years ago

Determine the discrimamt for the quadratic equation 0= -2x2 + 3

Mathematics

1 answer:

JulsSmile [24]3 years ago

5 0

The discriminant for this equation is 24

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irina1246 [14]

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3 years ago

Read 2 more answers

2X to the second power minus 4X equals three in standard form

Elena-2011 [213]

Answer:

2x^2-4x=3

standard form of a quadratic equation =ax^2+bx+y=0

so you would bring the 3 over to the other side making the solution 2x^2-4x-3=0

8 0

3 years ago

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 hours, while the outlet pipe can empty it

Rashid [163]

Answer:

$time=40/3hours\approx 13.3hours$

Step-by-step explanation:

The rates are additive: you can calculate the inlet rate and the outlet rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

1. Inlet rate:

$1vat/5hours$

2. Outlet rate:

$1vat/8hours$

3. Net rate:

$\text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour$

4. Time to fill the vat

$rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)$

$time=40/3hours\approx 13.3hours$

7 0

3 years ago

Solve the system of equations. – 3y + 5x = 26 - 2 - 5x = -16

mylen [45]

Answer:

$y=-4,\:x=\frac{14}{5}$

Step-by-step explanation:

$\begin{bmatrix}-3y+5x=26\\ -2-5x=-16\end{bmatrix}$

Isolate x for -2-5x=-16:

$x=\frac{14}{5}$

$\mathrm{Substitute\:}x=\frac{14}{5}$

$\begin{bmatrix}-3y+5\cdot \frac{14}{5}=26\end{bmatrix}$

$Simplify$

$\begin{bmatrix}-3y+14=26\end{bmatrix}$

Isolate y for -3y+14=26:

$y=-4$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=-4,\:x=\frac{14}{5}$

7 0

2 years ago

mylen [45]

151.525 round to the nearest cent before answering

3 0

3 years ago