Answer:
y = 4x - 30
Step-by-step explanation:
The general slope-intercept equation for a straight line is
y = mx + b
For y = 4x – 3, m = 4
=====
The other equation passes through (8,2) and has slope 4:
y = 4x +b Set x = 8, y = 2.
2 = 4×8 + b
2 = 32 + b Subtract 32 from each side
b= -30
The equation for the second graph is
y = 4x – 30
The graph below shows Equation (1) as a red line.
The graph of Equation 2 is the green line that passes through (8,2), runs parallel to Equation (1), and has a y-intercept at (0,-30.
Answer:
72 stamps
Step-by-step explanation:
First, we're looking to find the number of stamps that AREN'T foreign, so we have to subtract 68% from 100%.
Now, we know that 32% of the stamps are NOT foreign. So, next, we:
- Multiply 32 by 225.
- Divide the product of 32 and 225 by 100
Therefore, the answer is 72 stamps.
The volume of the diamond is 137.1 cm³. The correct option is the last option 137.1 cm³
<h3>Density, Mass and Volume </h3>
From the question, we are to calculate the volume of the diamond
Using the formula,
Density = Mass/ Volume
Then, we can write that
Volume = Mass/ Density
From the given information,
Mass of the large diamond = 481.3 grams (g)
Density of the diamond = 3.51 grams/ centimeters cubed (g/cm³)
Putting the parameters into the formula, we get
Volume = (481.8 g)/ (3.51 g/cm³)
Volume = 137.1225 cm³
Volume ≈ 137.1 cm³
Hence, the volume of the diamond is 137.1 cm³. The correct option is the last option 137.1 cm³
Learn more on Density, mass and volume here: brainly.com/question/1762479
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Hello!
First you have to find what y is at when x is -3 in the first equation
y = 5/3(-3) + 2
y = -3
A point of the original line is (-3, -3)
The line we want has to go up 2
To do this we add 2 to the y-intercept part of the equation
y = ? + 2 + 2
Since the line is parallel it has the same slope
y = 5/3x + 2 + 2
Simplify
The answer is y = 5/3 x + 4
Hope this helps!