Can someone please explain c?
Q1.
The roots of the quadratic equation
x2 + 2x - 5 = 0
Are a and B
(a) Write down the value of a + ß and the value of aß.
(b) Calculate the value of a2 + B2
(c) Find a quadratic equation which has roots a3 + 1 and aß3 + 1.
​

Answer:

i'm pretty sure its c

Step-by-step explanation:

have a great day!!

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer:

$954.78

Step-by-step explanation:

Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.

879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)

Answer:

b. P = 56,382(1+0.012)^t

The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

percentage, a relative value indicating hundredth parts of any quantity.

The population P after 2010 is an exponential growth function of the form:

[tex]P = P_{0} (1 + r)^t[/tex]

where P₀ is the initial population,

r is the annual growth rate as a decimal, and

t is the time in years.

Byu given information P₀ = 56,382,

r = 0.012, and

t is the number of years after 2010.

The equation that defines the population in Smalltown t years after 2010 is:

[tex]P = 56,382(1 + 0.012)^t[/tex]

Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

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Answer: 3/10

Step-by-step explanation:

1/5 isn’t equivalent to it

Answer:

Just random ones?

1/2, 1/3, 1/4, 1/6, 1/7

Step-by-step explanation:

Answer:

um function

Step-by-step explanation:

3rd

bubble

?

Answer:

1. l= A/πr

2. T = PV/R

3. T = 100l/PR

5. t = v/u + a

The total number of cups required to make the recipe for 50 people will be equal to 8.3 cups.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the provided instructions in the question,

The recipe is for 6 people in which 1 cup of sugar is required.

Total number of people = 50

Cup of sugar required for the recipe = 50/6 = 8.33 cups.

It means that 8.33 cups of sugar is required to make the recipe for 50 people.

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Answer:

C=50.24

Step-by-step explanation:

Formula for circumference with radius: 2[tex]\pi[/tex]r

r= radius

C=circumference

Now subsitute the variables with the values given.

Formula:  2[tex]\pi[/tex]r  -> 2(3.14)(8)

C=50.24

Answer:

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

36/x=8/7

x times 36/x=x times 8/7

Cancel multiplied terms that are in the denominator

cancel both x’s for you should have 36=x times 8/7

Combine multiplied terms into a single fraction

36=8x/7

Multiply all terms by the same value to eliminate fraction denominators

36=8x/7 so you multiply 7 times 36=7 times 8x/7

so you simplify so you get 252=8x

then you Divide both sides of the equation by the same term

252=8x     252/8=8x/8 so you get 63/2

so your final answer is x=63/2

I hope that I helped you have a nice day or night!

Answer:

The answer is 7............

Answer:

y = -4 - (-11)

Since all the variables and constants are together on each side, just solve as is.

y = -4 - (-11)

y = 7

Step-by-step explanation:

hope this helps:)

Answer:

1. 1 min : 2 min

2. 1 min : 4 min

3. 1 : 5

4. 1 : 2

5. 1 hr : 4 hrs

6. 7 p : 10 p

7. 5 : 2 : 3

8. 1 : 3

9. 3 : 5

Step-by-step explanation:

break it down to the lowest, which means to keep dividing it till it can't anymore.

hope that helps

Correct method to factor this expression are:

Factor by grouping.

Factor out the GCF.

A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.

The equation becomes:

= 4x² - 26x + 30

= 2 (2x² - 13x + 15)

= 2 (2x² - 10x - 3x + 15)

= 2 {2x (x - 5) - 3 (x - 5)}

= 2 (2x - 3) (x - 5)

Thus, the two methods are the best choices to factor this express are:

Factor by grouping.

Factor out the GCF.

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Answer:

the total amount collected is 2,665

Step-by-step explanation:

The computation of the total amount collected is shown below:

= price × number of tickets sold × price + number of tickets sold × price + price

= 14 × 15 × 10 + 56 × 10 + 5

= 2,100 + 560 + 5

= 2,665

Hence, the total amount collected is 2,665

Answer:

Try adding the percent of 5.

Step-by-step explanation:

(5 percent off 19.00 is 18.05 The difference is 0.95)

It might be ADDING in the situation

cause 19.00 + (5percent) = 19.95

Why: I think its adding a percent of 5

Because clue content.. And the clue was (total cost with service fee)

(total) is one of the context clues for addition or adding.

and it adding service fee.

so it wants an addition of the total cost with service fee.

HOPE I HELPED

Answer:

10x-4y-6

Step-by-step explanation:

-3x+2y-6+13x-6y

-3x+13x+2y-6y-6

10x-4y-6

Answer:

0.3

Step-by-step explanation:

Answer:

0.33333. it goes on forever.

Answer:

cos theta=-1/2

theta=cos-¹(-1/2)=120

tan theta=tan 120=-√3

sin theta=sin120=√3/2

cos(- theta)=cos theta=cos 120=-1/2

Answer:

88/17

Step-by-step explanation:

5x · 7/8 - 3x · 3/4 = 11

35x/8 - 18x/8 = 17x/8

17x/8 = 11

17x = 88

x = 88/17

Answer:

-6 is the y coordinate

Step-by-step explanation:

Answer:

If Ron works 8 hours a day and get's paid $15 an hour

for 5 days a week and works for 12 weeks

1 hour = $15

8 hours = $120

So Ron get's paid $120 a day

So if he works 5 days a week then

120 x 5 = $600

Ron get's paid $600 a week

So if Ron works for 12 weeks then

600 x 12 = $7,200

Ron's gross pay is $7,200

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2^3 will be coefficient so 8

Answer:

i dont know :(

Step-by-step explanation:

i dont know :(

Answer:

- 4, - 3, - 2, - 1, 0

Step-by-step explanation:

Given

- 2 < n + 3 < 4 ( subtract 3 from each interval )

- 5 < n < 1

This indicates that n ≠ - 5, 1 but all values in between, that is

n = - 4, - 3, - 2, - 1, 0 ← possible values of n

Answer:44.767=45

Step-by-step explanation:

sinR=

71

50

​

R=\sin^{-1}(\frac{50}{71})

R=sin

−1

(

71

50

​

)

R=44.767\approx 45^{\circ}

R=44.767≈45

∘

Answer:

45

Step-by-step explanation:

Answer:hmm 30c - 24d = 6d or 6c

Step-by-step explanation: