MATHEMATICS HIGH SCHOOL

Write an equation in slope-intercept form for the line with slope 6 and y-intercept -8 .

Answers

Answer 1
Answer:

The equation of line in the slope intercept form is y = 6x - 8 , where the slope of the line is m = 6

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the slope of the line m = 6

Let the y intercept of the line be = -8

Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = 6x - 8   be equation (1)

Hence , the equation of line is y = 6x - 8

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Answer 2
Answer:

Answer:

y=6x-4

Step-by-step explanation:

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Why is it important to convert rates to the same units before comparing them

Answers

Rate is used to compare values of the same unit. So, it is important to convert rates to the same units so that the units can cancel out.

Which is bigger 0.78 or 0.875

Answers

0.875 is because the first digit that is different is in the tenths place and the 8 in 0.875 is larger in value than the 7 in 0.78

Hope this helps :)

If x is a number that is 7 more than y, how do you express x as a function of y?A. x = f(y) = 7 + x
B. x = f(y) = 7 + y
C. y = f(x) = 7x
D. y = f(x) = y – 7
E. y = f(x) = 7 + y

Answers

I believe the correct answer from the choices listed above is option B. The variable y is the independent variable here and x is the dependent variable so the function can be represented as f(y). The function should be written as:

x = f(y) = 7 + y

- Mariana debe tomar dos pastillas; una cada 6 horas y otra cada 9 horas. Si a cierta hora toma las dos pastillas juntas, ¿después de cuantas horas volverá a tomarlas simultáneamente?

Answers

Answer:

Mariana takes the two pills together after 18 hours.

Step-by-step explanation:

Mariana must take two pills; one every 6 hours and another every 9 hours.

She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.

To find the time to take the two pills together, take the least common multiple of 6 and 9.

6 = 2 x 3

9 = 3 x 3

So, the least common multiple is 2 x 3 x 3 = 18

So, she takes the two pills together after 18 hours.

You sell pies at a farmers' market for $7.50 each. A group of 5 kids wants to pitch in equal1y to share one of your pies. How much will each of them need to pay to buy a whole pie together?

Answers

its 5 divided my 7.50 since each decided to pitch in to help by the pie
Since they all want to pay the same thing, all you have to do is divide $7.50 by 5 to get your answer, which is $1.50

What is the complete factorization of x2 + 2x − 63? A. (x + 21)(x − 3) B. (x − 9)(x + 7) C. (x + 9)(x − 7) D. (x − 21)(x + 3)

Answers

Answer:

(x + 9)(x - 7)

Step-by-step explanation:

We want to factorize x^2 + 2x - 63

We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:

x^2 + 9x - 7x - 63\n\n= x(x + 9) -7(x +9)\n\n = (x +9)(x -7)

The complete factorization is (x + 9)(x - 7)

The factored form of the expression x² + 2x - 63 is (x + 9)(x - 7).

What is the factored form of the expression?

Given the expression in the question:

x² + 2x - 63

To determine the complete factorization of the quadratic expression x² + 2x - 63, we aim to break it down into its simplest factors.

This is achieved through factoring, a process of identifying the expressions that, when multiplied, result in the original quadratic expression.

x² + 2x - 63

Now, find a pair of integers whose sum equals 2,

and whose product equals -63.

We use integers 9 and -7.

Next, rewrite the quadratic expression using these factors:

(x + 9)(x - 7)

Therefore, the complete factorization of x² + 2x - 63 is (x + 9)(x - 7).

Option C) (x + 9)(x - 7) is the correct answer.

Learn more about factorization here: brainly.com/question/20293447

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