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Grace [21]
3 years ago
12

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each eq

uation. a 3x+4y–12=0
Mathematics
2 answers:
lawyer [7]3 years ago
8 0

Answer:

The slope of the equation is: \frac{-3}{4}

The y intercept is: 3 or (0,3)

Step-by-step explanation:

Consider the provide equation of line.

3x+4y-12=0

The slope intercept form is: y=mx+c

Where m is the slope and c is the y intercept.

Now convert the provided equation into slope intercept form as shown.

4y=12-3x

y=\frac{-3}{4}x+3

Now compare the above equation with slope intercept form.

By the comparison we can concluded that

The slope of the equation is: \frac{-3}{4}

The y intercept is: 3 or (0,3)

VARVARA [1.3K]3 years ago
5 0

\bf 3x + 4y - 12 = 0\implies 4y-12 = -3x\implies 4y=-3x+12 \\\\\\ y = \cfrac{-3x+12}{4}\implies y = \cfrac{-3x}{4}+\cfrac{12}{4} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x\stackrel{\stackrel{b}{\downarrow }}{+3} \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

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suppose you are mixing red and blue paint in a bucket. do you think the final color of the mixed paint will be the same whether
wlad13 [49]

Answer:

It does not matter which color you add first because either way you will end up with the same color, purple. We can relate this to the commutative property of addition because blue + red = red + blue.

Pls mark it Brainliest!!!

5 0
3 years ago
Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commission o
Sergio039 [100]

Answer:

The answer is below

Step-by-step explanation:

a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:

Total weekly salary = Basic salary + Commissions

If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5

Total weekly salary = Basic salary + Commissions = $300 + $67.5

Total weekly salary = $367.5

b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x

Total weekly salary = Basic salary + Commissions = $300 + $0.3x

Total weekly salary = $(300 + 0.3x)

7 0
3 years ago
Grayson biked 45 miles in 3 hours. Maya biked 26 miles in 2 hours. If they both kept a constant speed, how much faster did Grays
pantera1 [17]

Answer:

Grayson biked at a speed of 15 mph. Maya biked at a speed of 13 mph.

Grayson biked 2 mph faster than Maya.

Step-by-step explanation:

45/3 = 15

26/2 = 13

6 0
3 years ago
Let D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36} Determine which of the following statements are true and which are false. a)
morpeh [17]

Answer:

\forall x\in D if x is odd then x> 0 is true statement.

\forall x\in D if x is odd then x> 0 is true statement.

\forall x\in D if x is even then x≤0 is false statement.

\forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

\forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

Step-by-step explanation:

Consider the provided information.

D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36}

Part (A) \forall x\in D if x is odd then x> 0

Here only even numbers are less than 0 that means the statement is true.

\forall x\in D if x is odd then x> 0 is true statement.

Part (B) \forall x\in D if x is less than 0 then x is even.

Here only even numbers are less than 0 that means the statement is true.

\forall x\in D if x is odd then x> 0 is true statement.

Part (C) \forall x\in D if x is even then x≤0

Here we can see that 16, 26, 32, 36 are even number and also greater than 0. Thus the statement is false.

\forall x\in D if x is even then x≤0 is false statement.

Part (D) \forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4.

There is only one number whose ones digit is 2. i.e. 32 also the tens digit of the number 32 is 3. Which makes the above statement true.

\forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

Part (E) \forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2.

Numbers having ones digit 6 are: 16, 26 and 36

Here, the tens digits are 1, 2 and 3 which is contradict to our statement. Hence the provided statement is false.

\forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

8 0
3 years ago
List three different combinations of coins each with a value of 30% of a dollar​
SVETLANKA909090 [29]

Answer:

1. one quarter and one nickel

2. two dimes and two nickels

3. one dime, two nickels, and ten pennies

Step-by-step explanation:

(Assuming you mean U.S.A. money)

30% of a dollar equals 30 cents. Each of the above equals 30 cents.

5 0
3 years ago
Read 2 more answers
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