Smallest: 8.24*10^8
Middle: 7.4*10^8
Largest: 7.4*10^9
Order the scientific notation values into the correct order to largest to smallest
Largest —>
Middle-est —>
Smallest—>
Drag and drop
8.24*10^8, 7.4*10^9, 7.4*10^8
7 answers
Right an equation from slope intercept form (y=mx+b) from the table below.
x y
0 5
2 1
4 -3
6 -7
The equation of the table should be: y=_x+_
x y
0 5
2 1
4 -3
6 -7
The equation of the table should be: y=_x+_
To find the equation in slope-intercept form (y=mx+b), we need to determine the values of the slope (m) and the y-intercept (b).
First, let's calculate the slope (m) using the formula:
m = (change in y) / (change in x)
Using the given points (0, 5) and (2, 1):
(change in y) = 1 - 5 = -4
(change in x) = 2 - 0 = 2
So, the slope (m) is -4/2 = -2.
Next, let's find the y-intercept (b) by substituting one of the points (x, y) into the slope-intercept form equation.
Let's use the point (0, 5):
y = mx + b
5 = -2(0) + b
5 = b
Therefore, the y-intercept (b) is 5.
Now we can write the equation in slope-intercept form:
y = -2x + 5
First, let's calculate the slope (m) using the formula:
m = (change in y) / (change in x)
Using the given points (0, 5) and (2, 1):
(change in y) = 1 - 5 = -4
(change in x) = 2 - 0 = 2
So, the slope (m) is -4/2 = -2.
Next, let's find the y-intercept (b) by substituting one of the points (x, y) into the slope-intercept form equation.
Let's use the point (0, 5):
y = mx + b
5 = -2(0) + b
5 = b
Therefore, the y-intercept (b) is 5.
Now we can write the equation in slope-intercept form:
y = -2x + 5
Multiply in Scientific Notation. Be sure to write your answer with the multiplication ‘x’
(1.25*10^5)*(9.2*10^2)
____
(1.25*10^5)*(9.2*10^2)
____
To multiply numbers in scientific notation, we need to multiply the two numbers and add their exponents.
(1.25*10^5)*(9.2*10^2) can be expressed as:
1.25 * 9.2 * 10^5 * 10^2
When multiplying the numbers, we get:
1.25 * 9.2 = 11.5
To multiply the powers of 10, we add the exponents:
10^5 * 10^2 = 10^(5+2) = 10^7
Therefore, the product in scientific notation is:
11.5 * 10^7
Writing this as multiplication, we have:
11.5 x 10^7
(1.25*10^5)*(9.2*10^2) can be expressed as:
1.25 * 9.2 * 10^5 * 10^2
When multiplying the numbers, we get:
1.25 * 9.2 = 11.5
To multiply the powers of 10, we add the exponents:
10^5 * 10^2 = 10^(5+2) = 10^7
Therefore, the product in scientific notation is:
11.5 * 10^7
Writing this as multiplication, we have:
11.5 x 10^7
Solve the following inequality
5x+4<12
x<___
5x+4<12
x<___
To solve the inequality, we need to isolate the variable x.
5x + 4 < 12
Subtract 4 from both sides:
5x < 12 - 4
5x < 8
Now, divide both sides by 5:
x < 8/5
So, the solution to the inequality is:
x < 1.6
5x + 4 < 12
Subtract 4 from both sides:
5x < 12 - 4
5x < 8
Now, divide both sides by 5:
x < 8/5
So, the solution to the inequality is:
x < 1.6
1 answer