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algol [13]
1 year ago
11

In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?

Mathematics
2 answers:
FrozenT [24]1 year ago
7 0
Quadratic equation: ax² + bx + c =0

x' = [-b+√(b²-4ac)]/2a   and x" =  [-b-√(b²-4ac)]/2a  

6 = x² – 10x ; x² - 10x -6 =0
(a=1, b= - 10 and c = - 6

x' = [10+√(10²+4(1)(-6)]/2(1)  and x" = [10-√(10²+4(1)(-6)]/2(1)
x' =5+√31  and x' = 5-√31
sergejj [24]1 year ago
7 0

Answer: A

Step-by-step explanation:

The answer is A on Edge 2020

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What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)
7 0
1 year ago
Read 2 more answers
A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the c
Alchen [17]

Answer:

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?

The expression which represents the value of π is option C from the attachment that is π = 43.96/14

Step-by-step explanation:

Given:

Circumference of the circle = 43.96 feet

Diameter f the circle = 14 feet

So,

We know that :

Circumference of the circle = 2(\pi )r or (\pi)d

Re-arranging the formula:

⇒ (\pi)d = Circumference\ (C)  

⇒ (\pi )d =C

⇒ \frac{\pi\times d}{d}=\frac{C}{d}

⇒ \pi =\frac{C}{d}

Plugging the numeric values:

⇒ \pi =\frac{43.96}{14}

So the expression for π is 43.96/ 14,and option C is the correct choice.

4 0
1 year ago
"Suppose that Novak Djokovic and Roger Federer are playing a tennis match in which the first player to win three sets wins the m
o-na [289]

Answer: it could end in 20 different ways.

Step-by-step explanation:

This match could be

3x0 D or F

3x1 D or F

3x2 D or F

For 3x0

We have 2 options: DDD or FFF

2.P₁ = 2.1 = 2

For 3x1

We have 6 options

DFDD         FDFF

DDFD         FFDF    

FDDD         DFFF

2.3.1 = 6

For 3x2

we have 12 options:

DFDFD          FDFDF

DDFFD          FFDDF

DFFDD          FDDFF

FFDDD          DDFFF

FDFDD          DFDFF

FDDFD          DFFDF

2.3.2 = 12

In total we could have 20 outcomes.

5 0
2 years ago
−3 1/3 ÷ 9 pllllllllllllllllllllllllllllllllllllllllllllllllll
tia_tia [17]

-\frac{10}{27}  hope this helps :)

8 0
2 years ago
A kids skipping rope is 7ft long. How many ropes could I cut from a 10 yard long piece of rope?
Hatshy [7]
3 feet are in one yard
so 3 ×10 =30
so 30 ÷ 7 = 4.2
Answer is 4
even is there if there is a decimal only 4 can be made
7 0
1 year ago
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