MATHEMATICS HIGH SCHOOL

What is the slope of (2,3) , (6,7)

Answers

Answer 1

Answer:

Answer:

If you're given two points (x1, y1) and (x2, y2), the slope is (y2 - y1)/(x2 - x1);

We have ( 7 - 3 )/(6 - 2) = 4 / 4 = 1;

Step-by-step explanation:

Answer 2

Answer:

Answer:

4/4=1

Step-by-step explanation:

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Number # 11 please !!!

Answers

I am pretty sure it is Quadrant 1 (Quadrant I)

Hope this helped!!

In what quadrant on the coordinate plane is the point (5,-2) located? Your answer would be : Quadrant I V

The function fis defined by f(x) = 3x-3. For what value of x is f(x) = 48?

Answers

Answer:

f(17) = 48

Step-by-step explanation:

Since f(x) = 3x-3, to find the value of x when f(x) = 48 can be found by substituting 48 for f(x).

48 = 3x - 3

51 = 3x

17 = x

When x is 17, f(x) is 48.

Answer: x=51/3

Step-by-step explanation:

Make f(x)= 48

48=3x-3

Add 3 on each side

51=3x

Divide by 3

51/3

X=51/3

Which values are in the solution set of the inequality −2/3x + 13 ≥ −1 ?Select all that apply.

A. 19

B. 20

C. 21

D.22

E. 23

Answers

Final answer:

To solve the inequality, subtract 13 from both sides and divide by -2/3 to isolate x.

The solution set consists of x values less than or equal to 21.

The values that apply are 19, 20, and 21.

Explanation:

To solve the inequality, we need to isolate x.

First, subtract 13 from both sides of the inequality: -2/3x ≥ -14.

Next, divide both sides of the inequality by -2/3.

Remember that when dividing by a negative, the inequality sign flips: x ≤ -14 ÷ (-2/3).

The negative sign in front of the fraction can be moved to the numerator to simplify the division: x ≤ (-14) × (3/(-2)). Multiply the numbers: x ≤ 21.

Therefore, the solution set of the inequality is x values less than or equal to 21.

The values in the solution set are 19, 20, and 21.

So, the correct options are A, B, and C.

Learn more about Inequality here:

brainly.com/question/30231017

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What is 6:12 in simplest form? A. 2:1 B. 1:2 C. 2 D. 12:6

Answers

Both can be divided by 6.

6/6 = 1

12/6 = 2

So 6:12 = 1:2

Write a system of equations with a solution (4,–3)

Answers

1. So we have the system of equation. (4, -3)
let’s create another system of equation.
Let a = 4
and Let b = -3
First equation
=> Let’s pick any numbers to be used. Let’s have number 5
=> 5a + 5b
=> 5 (4) + 5 (-3)
=> 20 + (-15)
negative and positive is equals to negative
=> 20 – 15
=> 5 (this the first value of our equation, let this be the value of X)

Second
=> Pick another number, Let’s have 6
=> 6a + 6b
=> 6 (4) + 6 (-3)
=> 24 + (-18)
=> 24 – 18
=> 6 (this is the value of our second equation, let this value be Y)

Now, we have (A, B) = (4, -3) and (X, Y) = (5,6)

Answer:

A linear equation can be written in several forms. "Standard Form" is #ax+by=c# where #a#, #b# and #c# are constants (numbers).

We want to make two equations that

(i) have this form,

(ii) do not have all the same solutions (the equations are not equivalent), and

(iii) #(4, -3)# is a solution to both.

#ax+by=c#. We want #a#, #b# and #c# so that

#a(4)+b(-3)=c# (This will make (i) and (iii) true.)

Step-by-step explanation:

Find the common difference of the arithmetic sequence shown.1/4, 3/8, 1/2

1. 1/16
2. 1/8
3. 1/4

Answers

Answer: 2. 1/8

1/4+1/8=3/8
3/8+1/8=4/8=1/2

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