what is 1/3c-7=1
show your works

Answer:

slope is 4 and y-intercept is 12

Step-by-step explanation:

To solve this problem, let's actually just write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Slope is change in y divided by change in x. Given (-3, 0) and (-2, 4), the slope will be: (4 - 0) / (-2 - (-3)) = 4 / 1 = 4. So, the slope is m = 4.

Now, our equation so far is y = 4x + b. To find b, plug in, say, -3 for x and 0 for y:

0 = 4 * (-3) + b

0 = -12 + b

b = 12

Then the slope is 4 and the y-intercept is 12.

Answer:

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{0 - 4}{-3+2} = \frac{-4}{-1} = 4[/tex]

4 is the slope

now we have to plug in the slope intercept formula where m is 4

you can find b by plugging one of the points

I choose (-3,0) since it is easier to work with

0 = 4(-3) + b

0 = -12 + b

12 = b

Our y intercept is 12

finally the slope intercept form is

y = 4x + 12

Slope formula - (y2 - y1)/ (x2-x1)

Slope intercept form = y = mx + b

Step-by-step explanation:

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

Answer:

a) i) x = 6, y = 9

ii) 20

iii) -5

b) -40

Step-by-step explanation:

3(6) - 2(9)

18 - 18 = 0

greatest

3(10) - 2(5)

30 - 10

20

least

3(5) - 2(10)

15 - 20

-5

5(a - 4b)

5[-7 - 4(¼)]

5(-7 - 1)

5(-8)

-40

Answer:

The constant of proportionality is 9.

Step-by-step explanation:

k=y/x     This is the formula.

k=45/5   Plug in the x and y coordinates of a point on the line (5,45).

k=9         Here's your answer!

Whats the rest?

I need an answer

Answer:

The answer would be 15.

Step-by-step explanation:

The first thing that you have to do is subtract 120 on both sides

40x + 120 = 720

        -120     -120

40x = 600

Then you have to divide by 40.

40x= 600

600 ÷ 40 = 15

x = 15.

I hope I helped

Answer:

15

Step-by-step explanation:

40×15=600+120=720

Answer:

Linear would be fine as it doesn't decrease to under zero

and a curve graph would represent this data fine at 10818 turning point.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

volume = 5/8 cm^3

Step-by-step explanation:

v=lwh

(5/2)(1/3)(3/4)=15/24=5/8

Therefore, volume = 5/8 cm^3

I hope this helped and have a good rest of your day!

Step-by-step explanation:

If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.

We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!

Answer:

  21,661.7 mm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Here, we're given the diameter as 19.05 mm, so the radius is ...

  r = 19.05 mm / 2 = 9.525 mm

The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...

  h = (1.52 mm)(50) = 76 mm

__

Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...

  V = π(9.525 mm)²(76 mm) = 21,661.7 mm³

The approximate volume of the roll of pennies is 21,661.7 mm³.

Answer:

h = 12 inches

Step-by-step explanation:

The volume is  given by

V = Bh  where B is the area of the base and h is the height

Substituting V = 1080 and B = 90

1080 = 90h

Divide each side by 90

1080/90 = 90h/90

12 = h

Answer:

yes

Step-by-step explanation:

because the angles can be, acute, obtuse or right.

Answer:

yes

Step-by-step explanation:

The answer is yes because the angles add up to 180

Answer:

4

Step-by-step explanation:

use the x's and y's in this...

y-y over x-x

to get answer.

Answer:

The answered is 4

Step-by-step explanation:

Answer:

1248 cubic feet

Answer:

x>5

Step-by-step explanation:

Answer:

y is 10 degrees the pink one

y = 10

Hope This helps :D

Answer:

24 square blocks

Step-by-step explanation:

Answer:

Correct option: second one -> n / (n+1)

Step-by-step explanation:

Writting the expression, we have:

[4n / (4n-4)] * [(n-1) / (n+1)]

First we can simplify the numerator of the first part, dividing numerator and denominator by 4:

[n / (n-1)] * [(n-1) / (n+1)]

The first fraction has n-1 in the denominator and the second fraction has n-1 in the numerator, so we can simplify then in the product:

n* [1 / (n+1)] = n / (n+1)

The final expression is n / (n+1), so the correct option is the second one.

The product of the expression, 4n/(4n - 4) × (n - 1)/(n + 1), is: n/(n + 1).

Product is the multiplication of two factors in the simplest form.

Thus:

4n/(4n - 4) × (n - 1)/(n + 1)

[4(n)/4(n - 1)] × [(n - 1)/(n + 1)]

Simplify

n/(n-1) × (n-1)/(n+1)

n/(n + 1)

Therefore, the product of the expression, 4n/(4n - 4) × (n - 1)/(n + 1), is: n/(n + 1).

Learn more about product of polynomial on:

https://brainly.com/question/11333213

Answer:

13125 per year

Step-by-step explanation:

2007-1999=8

255000-150000=105000

105000÷8=13125

Answer:

$4.55

Step-by-step explanation:

3.25 x 1.40 = 4.55

Answer:

30π  ft^2 which is 94.25 ft^2 to the nearest hundredth.

Step-by-step explanation:

The area of the full circle is π * 6^2

= 36π  so:

the area of the 300 degrees sector = 300 * 36 π  / 360

= 30 π

Answer:

x=12

Step-by-step explanation:

90 = x + 42 + 3x

48 = x + 3x

48 = 4x

12 = x

Answer:

x = 12

Step-by-step explanation:

Since we are given a right angle, we can say that:

sum of all angles = 90 degrees

x + 42 + 3x = 90

4x = 48

x = 12

So, x is equal to 12 degrees!

Hope this helps)))  ^‿^

Answer:

x < -7

Step-by-step explanation:

[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]

Answer:

(-4, 5)

Step-by-step explanation:

(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.

Answer:find the one inch mark

Step-by-step explanation:

Go half way over between the 1 and 2

Answer: The answer is A 17in2

Step-by-step explanation:

In the question it states that the triangles are congruent (both the same).

  first I found the area of the top orange triangle.

the formula to find the area of a triangle is [tex]\frac{1}{2} bh[/tex] (base times Height).

so I did  [tex]\frac{1}{2} 3.23* 5.12[/tex]  which gave me 8.27.

Since the triangles are congruent (the same) they would both have the same area along with base and height. so I multiplied 8.27 by 2 (because there are two triangles) and got 16.54 which rounds up to 17.

the question also stated to find the APPROXIMATE area (close to the actual, but not completely accurate or exact.)

Answer:

A. 17 in2

Step-by-step explanation:

have a good day ^_^