Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?

Answer:

[tex]y = \frac{-7}{3}x -12[/tex]

Step-by-step explanation:

Point-slope form is [tex]y-y_1= m (x-x_1)[/tex]. The [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] have to be substituted for with real values in order to make an equation of a line. From there, you can isolate [tex]y[/tex] to turn it into slope-intercept form.

1) First, let's find the slope of the line, which is represented by the variable [tex]m[/tex]. Use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of one point, [tex]x_2[/tex] and [tex]y_2[/tex] are the x and y values of another point. For this problem, let's use the given points (-3, -5) and (-6, 2):

[tex]\frac{(2)-(-5)}{(-6)-(-3)} \\= \frac{2+5}{-6+3} \\= \frac{7}{-3}[/tex]

Thus, the slope is [tex]\frac{7}{-3}[/tex].

2) Now that we have the slope, let's substitute it into the point-slope formula. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point that the line intersects so you could either use (-3, -5) or (-6,2), but for this answer, I used (-6,2). (The answer will always be the same no matter which point you choose.) Substitute these values then isolate y to put it in slope-intercept form:

[tex]y-(2) = \frac{-7}{3} (x-(-6))\\y -2 = \frac{-7}{3} (x+6)\\y-2 = \frac{-7}{3}x-\frac{42}{3} \\y -2 = \frac{-7}{3}x-14\\y = \frac{-7}{3}x-12[/tex]

So, [tex]y = \frac{-7}{3}x -12[/tex] is the answer.

Answer:pretty sure its 0.25n+6

Step-by-step explanation: that seems the most reasonable

Answer:

6 miles

Step-by-step explanation:

30 divided by 5 equals six, therefore six miles.

Answer:

i think it is 6

Step-by-step explanation:

you divided 30 by 5

Answer:

Your answer would be the second option

KQL, IQH

Step-by-step explanation:

Answer:

the 2nd option

Step-by-step explanation:

Answer:

Graph is below.

Step-by-step explanation:

The solutions of the equations are : x = [8 ± √ 40] / 4

Given,

Y=2x² - 8x+3

Now,

To get the solution of equation equate it to 0 .

2x² - 8x+3  = 0

By quadratic formula,

x = -b ± √ b² - 4ac/2a

Substitute the values in the formula,

x = [8 ± √ 64 - 4(2)(3)] / 2* 2

x = [8 ± √ 40] / 4

Now plot the points in the graph. The graph is attached below.

Know more about equations,

https://brainly.com/question/17181370

#SPJ6

Answer:

1/2 cups

Step-by-step explanation:

She will need 1/2 cups.

She needs 1/2 cups, because she is making 12 soups.

Hope this helped

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft443 ft=44∗4+3=419 ft

we know that

x=\frac{19}{4}\ ftx=419 ft -----> equation A

y=x-\frac{1}{3}y=x−31 -----> equation B

substitute equation A in equation B

y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ fty=419−31=1253 ft

Convert to mixed number

\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft1253=1248+125=4125 ft

therefore

the answer is

4\frac{5}{12}\ ft4125 ft

Answer:

4 3/4 - 1/3 = 4 5/12

Step-by-step explanation:

4 9/12 - 4/12 = 4 5/12

Answer:

0, 5

Step-by-step explanation:

Answer:

question 13 = D

Step-by-step explanation:

because you do some math, open a calculator and boom, you have that.

Answer:

56+7y

Step-by-step explanation:

7*8 = 56

7*y = 7y

56 + 7y

Answer:

[tex]\huge\boxed{\bold{56+7y}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression using the Distributive Property.

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our math problem:

[tex]\bold{7(8+y)}[/tex]

[tex]\bold{7*8+7*y}[/tex]

[tex]\bold{56+7y}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-):-)}[/tex]

Answer:

They got 14 books at $22 and 21 books at $34.

Step-by-step explanation:

From the information given, you can write the following expressions:

x+y=35 (1)

22x+34y=1022 (2), where:

x is the number of books that cost $22

y is the number of books that cost $34

First, you can solve for x in (1):

x=35-y (3)

Then, you can replace (3) in (2) and solve for y:

22(35-y)+34y=1022

770-22y+34y=1022

12y=1022-770

12y=252

y=252/12

y=21

Finally, you can replace the value of y in (3) to find x:

x=35-y

x=35-21

x=14

According to this, the answer is that they got 14 books at $22 and 21 books at $34.

Answer:

x = 21

Step-by-step explanation:

For the complementary angles, the sum of two angles is equal to 90 degrees.

ATQ,

3x+2+x+4 = 90

Taking like terms together,

3x+x+6=90

4x+6=90

4x = 84

x = 21

So, the value of x is equal to 21.

Answer:

D. 21.9%

Step-by-step explanation:

(650÷2970)x100= 21.88% rounded off 21.9%

Answer:

7 squares

Step-by-step explanation:

Key skills: Counting, Averages

1) Based on what I counted, there are 11 columns, and 53 squares. If you want an average of 5 squares per column and you have 12 columns, the total number of squares you want is 60.

2) Since there are already 53 squares present, you need 60-53 = 7 squares more.

Hope you understood and have a nice day!!

answer:

should be 7 squares.

Answer:

-1/6

Step-by-step explanation:

Multiply numerators and denominators

4*3

9*6

You get -12/72

Simplify

Divide 12 by both numbers

You get -1/6

Answer:

[tex] - \frac{1}{6} [/tex]

Step-by-step explanation:

Multiplying a positive and a negative equals a negative: ( + ) × ( - ) = ( - )

[tex] - \frac{4}{9} \times \frac{3}{8} [/tex]

Reduce the number with the greatest common factor 4:

[tex] - \frac{1}{9} \times \frac{3}{2} [/tex]

Reduce the number with the greatest common factor 3:

[tex] - \frac{1}{3} \times \frac{1}{2} [/tex]

Multiplying the fractions:

[tex]1 \times 1 = 1 \\ 3 \times 2 = 6[/tex]

Therefore, the answer will be - 1/6.

Answer:

[tex]Q=(9,11)[/tex]

Step-by-step explanation:

Solving (4a)

[tex]P (x_1,y_1) = (1,1)[/tex]

[tex]M (x,y) = (5,6)[/tex]

Required

Determine [tex]Q(x_2,y_2)[/tex]

To do this, we make use of the mid-point formula:

[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Substitute values for x, y, x1 and y1

[tex](5,6) = (\frac{1+x_2}{2},\frac{1+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * (5,6) = (\frac{1+x_2}{2},\frac{1+y_2}{2}) * 2[/tex]

[tex](10,12) = (1+x_2,1+y_2)[/tex]

By comparison:

[tex]10 = 1 + x_2[/tex]

[tex]x_2 = 10 - 1[/tex]

[tex]x_2 = 9[/tex]

[tex]12 = 1 + y_2[/tex]

[tex]y_2 = 12 - 1[/tex]

[tex]y_2 = 11[/tex]

Hence, the coordinates of Q is (9,11)

Answer:

x = 8

Step-by-step explanation:

-1/4 (2x + 8) = -6​

Multiply both sides by -4.

2x + 8 = 24

Subtract 8 from both sides.

2x = 16

Divide both sides by 2.

x = 8

Answer:

its easy the anser is x=40

Step-by-step explanation:

you just add the numbers

Answer & Step-by-step explanation:

2. 4 times (*) f equals (=) 1/2

Equation: 4f=1/2

4 times (*) 1/8 equals (=) 1/2

f = 1/8

3. 832 divided by (/) n equals (=) 16

Equation: 832/n=16

832 divided by (/) 52 equals (=) 16

n = 52

4.  10 subtracted from (-) x equals (=) 6

Equation: 10-x=6

10 - 4 = 6

x = 4

Hope this helps ;)

Answer: that is imposibble

Step-by-step explanation:

Answer:

-32.37

Step-by-step explanation:

Answer:

-32.37

Step-by-step explanation:

Answer

603800

Step-by-step explanation:

Yuh

Answer:

[tex]\begin\\\begin{tabular}{|l|l|l|}No&Sample&Median\\01&58,42,37 &42\\02&58,42,34&42\\03&58,42,23& 42\\04&37,34,23 & 34\\05&58,37,34 & 37\\06&58,37,23 & 37\\07&58,34,23 &34\\08&42,37,34 &37\\09&42,37,23 &37\\10&42,34,23 &34\end[/tex]

Step-by-step explanation:

From the question we are told that

5 samples(23 34 37 42 58)

To select 3 random sample

a) Generally to find all 10 possible outcomes and there median we make a table

Therefore

L1

58,42,37  Median=42

L2

58,42,34  Median=42

L3

58,42,23  Median=42

L4

37,34,23  Median=34

L5

58,37,34  Median=37

L6

58,37,23  Median=37

L7

58,34,23  Median=34

L8

42,37,34  Median=37

L9

42,37,23  Median=37

L10

42,34,23  Median=34

[tex]\begin\\\begin{tabular}{|l|l|l|}No&Sample&Median\\01&58,42,37 &42\\02&58,42,34&42\\03&58,42,23& 42\\04&37,34,23 & 34\\05&58,37,34 & 37\\06&58,37,23 & 37\\07&58,34,23 &34\\08&42,37,34 &37\\09&42,37,23 &37\\10&42,34,23 &34\end[/tex]

Answer:

Jeff is the better buy

Step-by-step explanation:

3.25/36=0.090277777

1.50/12=0.125

Answer:

$23

Step-by-step explanation:

let j be jacob"s money

Then angie is 3j, and Erin is 3j+35 so 7I

=161

j=23

Answer: Erin - $104; Angie - $69; Jacob - $23.

(please give me brainlest ❤️)

Step-by-step explanation:

JACOB has least amount of money, so let's say that he has :

x amount of money

ANGIE has 3 times more than jacob:

Angie has 3x

ERIN has $35 more money than Angie:

3x+35

their money together is $196, that means if we add all of their money, it will be equivalent of 196:

3x+35+3x+x=196

now lets find x value.

put all the xes on right side and all known numbers on left side.

i think u know that when it goes to another side it changes sign; for example - makes + and × makes /

3x+35+3x+x=196

7x=161

x=161/7

x=23

now plug x values for each kid:

so Jacob had x=23

Angie had 3x=3×23=69

and Erin had 3x+35=69+35= 104

lets check our answer:

23+69+104=196

196=196

so sum of their money really gives us $196.

Answer:

(4, -2 1/2)

Step-by-step explanation:

The 4 is positive because it goes to the right on the x axis, and the 2 1/2 is negative because it goes down on the y axis.

Answer:

(4, -2 1/2)

Step-by-step explanation:

i did edge test

Answer:

exactly 1 (I Think)

Step-by-step explanation:

3

Answer:

exactly 1

Step-by-step explanation:

it is

Answer:

(-2,4), (0,3), (2,2)

Step-by-step explanation:

You can use the 3 points above to plot out the line on the graph and to find other points.

Answer:

5Y+8

Step-by-step explanation:

Answer:5 y +40

Step-by-step explanation: you do 5 times y which is 5y and do 5 times 8 which is 40. And add them together.