All categories

2 years ago

What is the solution to the equation below? 0.5n = 6

Mathematics

1 answer:

Tcecarenko [31]2 years ago

3 0

It's 12 because if you divide 6 by 0.5 you should get 12, so basically use the opposite operation.

Hope that helps!

You might be interested in

D8dud8duixjxjxuxhdychx6

zepelin [54]

Answer:

39 (I answered wrong to make sure you wasnt to young)

Step-by-step explanation:

what grade are you in? (

5 0

2 years ago

Read 2 more answers

Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?

Sonbull [250]

Answer:

$-6 < k < 2$

Step-by-step explanation:

Given

$y = x^2 - 2x$

$y =kx -4$

Required

Possible values of k

The general quadratic equation is:

$ax^2 + bx + c = 0$

Subtract $y = x^2 - 2x$ and $y =kx -4$

$y - y = x^2 - 2x - kx +4$

$0 = x^2 - 2x - kx +4$

Factorize:

$0 = x^2 +x(-2 - k) +4$

Rewrite as:

$x^2 +x(-2 - k) +4=0$

Compare the above equation to: $ax^2 + bx + c = 0$

$a = 1$

$b= -2-k$

$c =4$

For the equation to have two distinct solution, the following must be true:

$b^2 - 4ac > 0$

So, we have:

$(-2-k)^2 -4*1*4>0$

$(-2-k)^2 -16>0$

Expand

$4 +4k+k^2-16>0$

Rewrite as:

$k^2 + 4k - 16 + 4 >0$

$k^2 + 4k - 12 >0$

Expand

$k^2 + 6k-2k - 12 >0$

Factorize

$k(k + 6)-2(k + 6) >0$

Factor out k + 6

$(k -2)(k + 6) >0$

Split:

$k -2 > 0$ or $k + 6> 0$

So:

$k > 2$ or k $> -6$

To make the above inequality true, we set:

$k < 2$ or $k >-6$

So, the set of values of k is:

$-6 < k < 2$

3 0

2 years ago

What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y?

jok3333 [9.3K]

Answer:

7x + 2y + 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3 + 8x - 2y - x + 1 + 4y

Step 2: Simplify

Combine like terms (x): 7x + 3 - 2y + 1 + 4y
Combine like terms (y): 7x + 2y + 3 + 1
Combine like terms: 7x + 2y + 4

8 0

2 years ago

Last year, a toy company made $14,476,375 from sales of a stuffed animal pillow.

Anna [14]

14,000,000 is the answer please give me points

7 0

2 years ago

Read 2 more answers

Which graph best represents the solution to 1/2x - 2 = 3

inysia [295]

Answer:

The one showing only the point (10, 3)

Or the linear plot with the point +10 highlighted.

Step-by-step explanation:

4 0

2 years ago