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2 years ago

Write in standard form: a line through the origin with slope 2/3

Mathematics

2 answers:

frez [133]2 years ago

7 0

Answer:

2x - 3y = 0

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

here m = $\frac{2}{3}$ , then

y = $\frac{2}{3}$ x ( multiply through by 3 to clear the fraction )

3y = 2x

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearranging the above equation into this form

2x = 3y ( subtract 3y from both sides )

2x - 3y = 0 ← in standard form

nordsb [41]2 years ago

5 0

Answer:

y = 2/3x

Step-by-step explanation:

Slope-intercept formula: y = mx + b

m = 2/3 because the slope is 2/3.

b = 0 because the y value of the origin is 0, as the point is at (0, 0).

That makes y = 2/3x + 0, but adding zero does nothing so you take it out to get y = 2/3x.

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One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R

marusya05 [52]

Answer:

(a) See attachment for tree diagram

(b) 24 possible outcomes

Step-by-step explanation:

Given

$Urn\ 1 = \{B_1, R_1, R_2, R_3\}$

$Urn\ 2 = \{R_4, R_5, B_2, B_3\}$

Solving (a): A possibility tree

If urn 1 is selected, the following selection exists:

$B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2]$

If urn 2 is selected, the following selection exists:

$B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4]$

See attachment for possibility tree

Solving (b): The total number of outcome

For urn 1

There are 4 balls in urn 1

$n = \{B_1,R_1,R_2,R_3\}$

Each of the balls has 3 subsets. i.e.

$B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2]$

So, the selection is:

$Urn\ 1 = 4 * 3$

$Urn\ 1 = 12$

For urn 2

There are 4 balls in urn 2

$n = \{B_2,B_3,R_4,R_5\}$

Each of the balls has 3 subsets. i.e.

$B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4]$

So, the selection is:

$Urn\ 2 = 4 * 3$

$Urn\ 2 = 12$

Total number of outcomes is:

$Total = Urn\ 1 + Urn\ 2$

$Total = 12 + 12$

$Total = 24$

5 0

3 years ago

Nearest thousands 6,357

nasty-shy [4]

Answer:

6,400

Step-by-step explanation:

yeah fam 6,400 is the answer

3 0

3 years ago

Read 2 more answers

michelle bought the same fabric on 3 different occasions and recorded the data below what was the price per yard of fabric? answ

bazaltina [42]

Please consider the complete question.

Michelle bought the same fabric on 3 different occasions and recorded the data below.

Yards of Fabric Total Cost

2.2 $2.53

3.6 $4.14

4.2 $4.83

What was the price per yard of fabric?

To find the cost per yard of fabric, we will divide cost of yards by number of yards.

$\text{Cost per yard}=\frac{\text{Cost}}{\text{Number of yards}}$

$\text{Cost per yard}=\frac{\$2.53}{2.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Let us find cost per yard using 2nd set of data.

$\text{Cost per yard}=\frac{\$4.14}{3.6\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Similarly we will find cost per yard for 3rd set of data.

$\text{Cost per yard}=\frac{\$4.83}{4.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Therefore, the cost per yard of fabric is $1.15.

4 0

3 years ago

HELP PLEASE!!! Which of the following is the equation for X: ax^2 = bx? Select all that apply.

ki77a [65]

Ax^2 = bx Divide by x
ax^2/x = b
ax^(2 -1) = b
ax = b Divide by a
x = b/a

5 <<<< Answer.
x≠0
a≠0

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3 years ago

Consider the following statements about the effect of different values of a on the function y = ab^x. Which one of the statement

Anna007 [38]

All statements are correct.

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3 years ago