write 497,000,000 in scientific notation
4.97 x 10^8
write 0.000023 in scientific notation
2.3 x 10^-5
wrie 49,700,000 in scientific notation
4.97 x 10^7
find the missing value of ? if 6^-5x6^?-6^10
To find the missing value represented by ?, we can use the properties of exponents.
Given: 6^(-5) x 6^? = 6^10
Using the rule that says when multiplying two numbers with the same base, you add the exponents, we can rewrite the equation as:
6^(-5 + ?) = 6^10
Now we have an equation where the bases are equal, which means the exponents must also be equal.
Therefore, -5 + ? = 10
To solve for ?, we isolate the variable:
? = 10 - (-5)
? = 15
So the missing value represented by ? is 15.
write an equation y=?x+? using the table
x side: 0, 2, 4, 6
y side: 9, 5, 1, -3
To find the equation y = mx + b, we need to determine the values of m and b.
We can use the given table:
When x = 0, y = 9.
When x = 2, y = 5.
When x = 4, y = 1.
When x = 6, y = -3.
We can use any two points from the table to find the equation. Let's use the points (0, 9) and (2, 5).
First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (5 - 9) / (2 - 0)
m = -4 / 2
m = -2
Now, let's substitute the slope value into the equation:
y = -2x + b
We can use one of the points to solve for b. Let's use the point (0, 9):
9 = -2(0) + b
9 = 0 + b
b = 9
Therefore, the equation is:
y = -2x + 9
2x-10 less than or equal to 3
x is less than or equal to ?