Rewrite the equation in slope-intercept form:
9x - 7y = 21
-7y = -9x + 21
y = (9/7)(x) - 3
The y-intercept is where x = 0.
y = (9/7)(0) - 3
y = 0 - 3
y = -3
The x-intercept is where y = 0.
0 = (9/7)(x) - 3
3 = (9/7)(x)
21 = 9x
x = 21/9
x = 7/3
The correct answer would be C. The x-intercept would be at (7/3, 0) and the y-intercept at (0, -3). Hope that helps! :)
Answer:
0.000071
Step-by-step explanation:
The given number that is given in scientific notation is, ............(1)
We need to write this number in standard notation. A number can be written in scientific notation as :
..........(2)
In standard notation,
So, is equivalent to . Hence, the correct option is (d)
Answer:
84x¹²
Step-by-step explanation:
To simplify this expression, we work from left to right:
4x(-3x⁸)(-7x³)
Multiplying the coefficients of the first two, we have 4(-3) = -12. Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹. This gives us
-12x⁹(-7x³)
Multiplying the coefficients, we have -12(-7) = 84. Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²
This gives us
84x¹²
The answer would be C. Mike can drive at the most 500 miles.
$200 - the rent for the week ($125)= $75
$75/($.15) the money per mile
500 miles.
Hope This Helps!
~Cupkake
