Please solve the following quadratic equation and show your work: x^2 -x =30

Answers

Answer 1

Answer: Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.

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A CD makes 58 1/2 revolutions in 3/4 min.Complete the unit rate.______revolutions/min

Amul is trying to find the volume of the cylinder. Whatwas Amul's error?
Amul should have squared pi.
Amul should not have multiplied by pi.
Amul should have squared the radius, not the
height
Amul did not make an error.

Answers

Answer:

c its the right answer

Step-by-step explanation: i just took it and got it right

Answer:

its C!!

Step-by-step explanation:

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.
Plan B: Put the $1,000 in an account that pays 5 percent interest per year.

Which statement is true?
Plan A will be worth more than plan B after two years.
Plan A will be worth the same amount as plan B after one year.
Plan B will be worth more than plan A after three years.
Plan B will be worth more than plan A after four years.

Answers

First let's calculation
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
Thus the correct answer is Plan A will be worth more than plan B after two years.

The true statement is Plan A will be worth more than plan B after two years.

What is the worth of the plans with the passage of time?

The equation that can be used to represent the future value of plan A:

Total value = initial value x ($100 x number of years)

Value in 2 years: 1000 x (100 x 2) = $1200

Value in 3 years: 1000 x (100 x 3) = $1300

Value in 4 years: 1000 x (100 x 4) = $1400

The equation that can be used to represent the future value of plan B:

FV = P (1 + r)^n

FV = Future value
P = Present value
R = interest rate
N = number of years

Value in 2 years: 1000 x(1.05^2) = $1102.50
Value in 3 years: 1000 x(1.05^3) = 1157.63
Value in 4 years: 1000 x(1.05^2) = 1215.51

To learn more about future value, please check: brainly.com/question/18760477

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A team won 3 of their first 10 games. If they win the next n games, they will have won 50% of their games. What is the value of n?

Answers

If the team wins the next n games, the number of games they win becomes 3 + n. The total number of games is 10 + n. The ratio of games won over total number of games would be 1/2.
(3 + n) / (10 + n) = 1/2
From the equation, the value of n is 4.

50%=50/100=1/2

$(3+n)/(10+n)$ = $(1)/(2)$
solve
multiply both sides by (2)(10+n)
(2)(3+n)=(1)(10+n)
6+2n=10+n
minus n from both sides
6+n=10
minus 6 from both sides
n=4

answer is n=4

Jenny wrote the following expression in her notebook: 2· x + 16·y. Name all of the terms and factors in the expression. Explain the difference between a term and a factor.

Answers

Answer:

In the expression 2·x + 16·y, there are two terms and three factors.

A term in an algebraic expression is a combination of variables and/or constants that are separated by addition or subtraction. In this case, the two terms are 2·x and 16·y. The term 2·x consists of the factor 2 and the variable x, while the term 16·y consists of the factor 16 and the variable y.

On the other hand, a factor is a number or variable that is multiplied by another number or variable. In this expression, the factors are 2, x, 16, and y. The factors 2 and 16 are constants, while x and y are variables.

To summarize:

Terms:

1. 2·x

2. 16·y

Factors:

1. 2

2. x

3. 16

4. y

The difference between a term and a factor lies in their roles within an expression. A term is a combination of factors that are separated by addition or subtraction, whereas a factor is an individual number or variable that is multiplied by another number or variable.

Step-by-step explanation:

What value of n makes the equation true?(2x^9y^n) (4x2 y 10) = 8x^11y^20
0 1
02
O 10
O 30

Answers

The value of n which makes the exponential value equation true is n = 10

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be A

Now , the value of A is

A = ( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x¹¹y²⁰

So , from the laws of exponents , we get