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2 years ago

Which function is equivalent to g(x) = 9 x2 - 24 x + 16?

Mathematics

1 answer:

GenaCL600 [577]2 years ago

3 0

Answer:

Step-by-step explanation:

discriminant = (-24)² - 4(9)(16) = 0, so there are two identical roots.

That eliminates choices 2 and 4.

Quadratic formula

x = [24 ± √(24² – 4·9·16)] / [2·9]

= 24 / 18

= 4/3

9x² - 24x + 16 = 9(x-4/3)² = (3x-4)²

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A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect

Vladimir79 [104]

The probability that the first two electric toothbrushes sold are defective is 0.016.

The probability of an event, say E occurring is:

$P(E)=\frac{n(E)}{N}$

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = the number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is n = 20.

The number of defective electric toothbrushes is x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

$(\left {{20} \atop {2}} \right. )$ $=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190$

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

$(\left {{3} \atop {2}} \right. )$ $=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3$

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

$\frac{3}{190}\\ =0.01579\\=0.016$

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

Learn more about probability here brainly.com/question/27474070

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4 0

1 year ago

Please help, I’ll mark your answer as brainliest.

valentina_108 [34]

Answer:

x = - $\frac{13}{2}$ - $\sqrt{157}$ / 2 or

x= - 13/2 + $\sqrt{157}$ / 2

Step-by-step explanation:

1- Substitute and calculate

if you don't want to give me brainlist its okay I don't mind I just like helping people with their problems

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2 years ago

A falling object travels a distance given by the formula

sergeinik [125]

Answer:

The time taken by object to travel 21 ft is 1 sec

Step-by-step explanation:

The distance travel by falling object given as

d = 5 t + 16 t²

The Distance cover by object to travel = 21 ft

so , from Distance time equation

21 = 5 t + 16 t²

or, 16 t² + 5 t - 21 = 0

Or, 16 t² - 16 t +21 t - 21 = 0

Or, 16 t ( t - 1) + 21 (t - 1) = 0

Or. (t - 1) (16 t + 21) = 0

Or, (t - 1) = 0 And (16 t + 21) = 0

∴ t = 1 And t = ( $\frac{-21}{16}$ )

Hence The time taken by object to travel 21 ft is 1 sec Answer

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2 years ago

Please help me it's so by 8:00!!!!!!!!☹️☹️☹️☹️

Mademuasel [1]

9 7/8, 9 3/4, 9 1/4, 10, 10 5/8, 10 3/8, 10 1/8, 10 1/2

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3 years ago

If a =7 inches and c = 14 inches in a right angle, then what is the measure of angle a

strojnjashka [21]

Answer:

Its 63.435

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html?vc=&vx=7&vy=&va=90&vz=14&vb=&angleunits=d&x=104&y=23

I always used this when it came to triangles

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