All categories

2 years ago

Write the quadratic equation whose roots are -3 and 3, and whose leading coefficient is 5

Mathematics

1 answer:

anastassius [24]2 years ago

3 0

Answer:

5x²- 1.8

Step-by-step explanation:

roots are -3 and 3, put them in brackets

(x - 3)(x + 3)

x² + 3x - 3x - 9

x² - 9

5x = -9

x = -1.8

5x² - 1.8

just to check:

5x² - 1.8

x² - 9

(x - 3)(x - 3)

x = -3 and 3.

You might be interested in

What is the percentage for 64 of 300

Alik [6]

Answer:192

Step-by-step explanation:

3 0

3 years ago

192 oz = _____lb what is it help meh ^•_•^

Tems11 [23]

Answer:

12 pounds

Step-by-step explanation:

there are 16 ounces in a pound

192/16= 12

4 0

3 years ago

Read 2 more answers

Please someone help me...

laiz [17]

Step-by-step explanation:

First factor out the negative sign from the expression and reorder the terms

That's

$\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \cot(6A) - \cot(2A) }$

<u>Using trigonometric </u><u>identities</u>

That's

<u>Rewrite the expression</u>

That's

$\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \frac{1}{ \tan(6A) } } - \frac{1}{ \frac{1}{ \tan(2A) } }$

We have

<u>Rewrite the second fraction</u>

That's

Since they have the same denominator we can write the fraction as

$- \frac{1 + \tan(6A) \tan(2A) }{ \tan(2A) - \tan(6A) }$

Using the identity

<u>Rewrite the expression</u>

We have

<u>Using the trigonometric identity</u>

<u>Rewrite the expression</u>

That's

Which is

<u>Using the trigonometric identity</u>

Rewrite the expression

That's

<u>Simplify the expression using symmetry of trigonometric functions</u>

That's

<u>Remove the parenthesis </u>

We have the final answer as

As proven

Hope this helps you

6 0

3 years ago

Read 2 more answers

Find the area of a regular polygon with 7 sides that has a side length of 6 inches and an apothem of 8 inches

alukav5142 [94]

We can always split a regular polygon with $n$ sides into $n$ triangles, whose base is the side of the polygon and whose height is the apothem of the polygon. So, the sum of the areas of all these triangles is

$A=n\times \dfrac{s\cdot a}{2}$

where $n$ is the number of sides, $s$ is the side length, and $a$ is the apothem length.

So, you just need to plug you values in: in your case, you have $n=7,\ s=6,\ a=8$

So, the formula becomes

$A=7\times \dfrac{6\cdot 8}{2} = 7 \times 6\cdot 4 = 168$

3 0

3 years ago

An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been p

bazaltina [42]

Answer:

0.3233

0.09

Step-by-step explanation:

Given that :

Mean, λ = 0.25 for a 100,000 per week

For a population of 800,000 :

λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week

Probability that technician is required after one week ;

After one week, order is beyond 2 ; hence, order, x ≥ 3

P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]

P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)

P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10

P(x ≥ 3) = 1 - e^-2 * 10

P(x ≥ 3) = 1 - 0.6766764

P(x ≥ 3) = 0.3233

B.)

Mean, λ for more than 2 weeks = 2 * 2 = 4

P(x < 2) = p(x = 0) + p(x = 1)

P(x < 2) = e^-4(0 + 4^1/1!)

P(x < 2) = e^-4(0 + 4) = e^-4(5)

P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915

P(x < 2) = 0.09

8 0

3 years ago