(Apex!) Select the two values of x that are roots of this equation 3x-5=-2x^2

Mathematics

1 answer:

katovenus [111]3 years ago

4 0

Answer:

B and D

Step-by-step explanation:

Write as a quadratic

-2x² - 3x + 5 = 0

Factor

-2x² - 5x + 2x + 5 = 0

-x(2x + 5) + 1(2x + 5) = 0

(1 - x)(2x + 5) = 0

To make the equation 0, x is either 1 or -5/2.

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Plz answer both for 10 points.!!! Thx for the help.

ratelena [41]

Both questions make use of the formula for the area of a triangle:
.. A = (1/2)*b*h

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24. A = (1/2)*b*h
.. 84.5 = (1/2)*13*h . . . . . substitute the given values

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4 0

3 years ago

123567543 what is the value of 3

borishaifa [10]

Answer:

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Step-by-step explanation:

8 0

3 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)