Write the following equation in slope-intercept form and then graph: 4x + 3y = 12

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

Answer:

21 or 42......both work

Answer:

A

Step-by-step explanation:

because if the COP is 4, table A is the only one that has 4

Answer:

p=-2

Step-by-step explanation:

1.Combine like terms on both sides.

2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.

3.Add 11 to both sides of the equation.

4.Finally, divide both sides by −10 to get the solution.

Answer:

Ali 25

Beth 15

Clare 32

Step-by-step explanation:

Here, we want to get the score of the three

let Ali’s score be x

He scored 10

more than Beth; Beth score will be x-10

Let us now work with the ratio

x/x-10 = 5/3

3x = 5(x-10)

3x = 5x - 50

5x-3x = 50

2x = 50

x =

50/2

x = 25

Beth will

score 25-10 = 15

score had 7 more than Ali,

25 + 7 = 32

Answer:

x = -3

Step-by-step explanation:

2x-x=-5+2

x = -3

(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

Given the rule of transformation:

(x, y) → (x+2, y+3)

If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.

In other words,

(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+2, y+3)

A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)

Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).

Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

To learn more on transformation  click:

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Answer:

3x+7-x-13

3x-6-x

=2x

pls mark brilliance if im right

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

Answer:

[tex] {25in}^{2} [/tex]

Step-by-step explanation:

see attached image

Answer:

$745,460.8

Step-by-step explanation:

2.8/100 × 3827 = $107.16

monthly = 1/12

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 107.16}{2.8 \times \frac{1}{12} } = \frac{10716}{0.23} \\ = 46591.3[/tex]

$46,591.3 in 1year

16 years; $46,591.3 × 16 = $745,460.8

Answer:

4:5

Step-by-step explanation:

You are doing ratios

Answer:

75

Step-by-step explanation:

Answer:

160=b  

      14

b: 2240

Answer:

b= 2240

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

then you simplify

hope this helps!

Answer:

The slope is 0, or it is a zero slope.

Step-by-step explanation:

The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.

Answer:

volume

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

theres no weight refered, no length and ratio i dont know cause im not english but i think its A

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

Answer:

its 2.4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I would say B because they're only 2 options head and tails.

✩brainliest appreciated ✩

Answer:

See screenshot below

Step-by-step explanation:

Yes Bus Column:

No Bus Column:

Total column:

I hope this helps!

Answer:

2/16

simplest form:1/8

Step-by-step explanation:

2/16

simplest form:1/8

There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator

2/16

Then simplify by dividing 2/2

1/8

Answer:

w=[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

2(2w+8)+2w=96

Distribute the 2.

4w+16+2w=96

Combine like terms.

6w+16=96

Subtract 16

6w=80

Divide 80 by 6.

w= 13.333333 or [tex]\frac{40}{3}[/tex]

Answer:

1/2 of the class

give brainliest if it helps

Answer:

D. c(p) = 0.42p

Step-by-step explanation:

total cost = .42(P)

Example: 5 lbs

$2.10 = $.42(5)

c(p) = 0.42p <== ur function

Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

c(p) = 0.42p

Where: c(p) = total cost of sugar bought

p = pounds of sugar

c(p) is a function of p, because c(p) depends on p.

Answer: The function rule that gives the total cost is given by

Step-by-step explanation:

Let the number of pounds of sugar be 'p'.

Let the total cost would be C(p).

Cost of each pound = $0.42

So, the function rule would be

Hence, the function rule that gives the total cost is given by