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3 years ago

If c and k are the roots of 6-x-x^2=0 find c + k. pls solve like a quadratic equation

Mathematics

2 answers:

beks73 [17]3 years ago

4 0

Answer:

c + k = - 1

Step-by-step explanation:

given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0

Then the sum of the roots = - $\frac{b}{a}$ and

The product of the roots = $\frac{c}{a}$

- x² - x + 6 = 0 is in standard form

with a = - 1, b = - 1 and c = 6

The roots are c and k, hence

c + k = - $\frac{-1}{-1}$ = - 1

Ratling [72]3 years ago

3 0

by Viete's formula

c + k = - koef x/koef x²

= - (-1)/(-1) = -1

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joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. which is a better bu

Ugo [173]

I would say it’s better to buy the 36 box pens. 24\4.32=5.6 on the other hand the box of 36 is 36/5.76=6.25

8 0

2 years ago

The length of a rectangle is 5 ft longer than its width.

murzikaleks [220]

Answer:

50 ft²

Step-by-step explanation:

If W is the width and L is the length, then:

L = W + 5

2L + 2W = 30

Solve the system of equations with substitution or elimination. Using substitution:

2(W + 5) + 2W = 30

2W + 10 + 2W = 30

4W = 20

W = 5

L = 10

The area of the rectangle is:

A = LW

A = 50 ft²

8 0

2 years ago

Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand

victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ $P(A)=\frac{30}{100}=0.3$

Preference of Brand B =70% ⇒ $P(B)=\frac{70}{100}=0.7$

Prefer Brand A and are Female = 20% ⇒ $P(A/F)=\frac{20}{100}=0.2$

Prefer Brand B and are Female = 40% ⇒ $P(B/F)=\frac{40}{100}=0.4$

To find : Selected consumer is female, given that the person prefers Brand A $P(F/A)$

Solution : Using Bayes' theorem, which state that

$P(A/B)=\frac{P(B/A)P(A)}{P(B)}$

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

$P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}$

$P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}$

$P(F/A)=\frac{0.6}{0.28+0.6}$

$P(F/A)=\frac{0.6}{0.88}$

$P(F/A)=0.68$

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0

3 years ago

Read 2 more answers

X-5y-z=-20 -2x-y-6z=25 -x-4y-z=-15 Solve by elimination

Tju [1.3M]

Answer:

x = 0

y = 5

z = -5.

Step-by-step explanation:

X-5y-z=-20

-2x-y-6z=25

-x-4y-z=-15

Add equation 1 and 3:

-9y - 2z = -35 .......... A

Multiply the first equation by 2:

2x - 10y - 2z = -40

Now add this to equation 2:

-11y -8z = -15.............B

Now multiply equation A by -4:

36y + 8x = 140.........C

Add equations B and C:

25y = 125

y = 5.

Substitute for y in equation A:

-9*5 - 2z = -35

2z = -45 + 35 = - 10

z = -5.

Now find x by substituting for y and z in the first equation:

x - 5(5) - (-5) = -20

x - 20 = -20

x = 0.

6 0

3 years ago

During the summer, the height of the water in the pool decreased by 5 inches each week due to evaporation. What is the change in

rjkz [21]

Answer:

40 inches

Step-by-step explanation:

We know that the height of water in a pool decreased 5 inches per week.

This means that we can form the equation $y=-5x$ , since the amount of water remaining is proportionate to the amount of weeks that have passed.

We know $x=8$ , since we need to find the change for 8 weeks.

$y = -5\cdot 8$

$-5 \cdot 8 = -40$

$y=-40$

The change will be the absolute value of -40, which just makes it positive, so 40.

Hope this helped!

8 0

3 years ago

Read 2 more answers

If c and k are the roots of 6-x-x^2=0 find c + k. pls solve like a quadratic equation​

If c and k are the roots of 6-x-x^2=0 find c + k. pls solve like a quadratic equation