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marshall27 [118]
3 years ago
5

Write the number and the nature of the roots of the quadratic

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

two unequal real roots

Step-by-step explanation:

35 - 5(4)(-3) simplifies to 35 + 60, or 95.

Because the discriminant is positive, the quadratic has two unequal real roots.

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Find the probability of rolling a 2 or a 5 on a standard dice. *
romanna [79]
The probability of a 2 or a 5 is 50%
3 0
2 years ago
Use the properties of exponents to rewrite y=e^-0.75t in the form of a(1-r)^t
Ivahew [28]

Answer: y = (1 - 0.527)^t

Step-by-step explanation:

y=e^(-0.75t)


y=(e^-0.75)^t


y= 0.47236655^t


1 - 0.47236655 = 0.52763345

y = (1 - 0.527)^t

5 0
2 years ago
What expressions equal to 1 forth of 52
Klio2033 [76]
Remember that x/4 and 1/4*x is the same thing.

1/4*52 is therefore the same as 52/4. Fractions represent division, so 52 divided by 4 is also correct.
0.25*x is the same as 1/4*x because 1/4=0.25
4% of 52 is incorrect because the decimal form of 4% is 0.04, which is not the same as 0.25

Final answer: B
5 0
3 years ago
Read 2 more answers
A device contains two circuits. The second circuit is a backup for the first, so the second is used only when the first has fail
Wittaler [7]

Answer:

Step-by-step explanation:

The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.

The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.

The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.

Please check the screenshop for the workings. Thanks

5 0
3 years ago
A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?
GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)

480=\left(2x+1\right)\left(6x-3\right)

480=12x^2-3

Subtract 480 from both sides

12x^2-3-480=480-480

12x^2-483=0

3\left(4x^2-161\right)=0

3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0

solving

2x+\sqrt{161}=0

2x=-\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{-\sqrt{161}}{2}

x=-\frac{\sqrt{161}}{2}

also solving

2x-\sqrt{161}=0

2x=\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{\sqrt{161}}{2}

x=\frac{\sqrt{161}}{2}

Therefore, the values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

3 0
3 years ago
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