Answer:
9^6
Step-by-step explanation:
When dividing exponents with the same base, we subtract the exponents
a^b/ a^c = a^(b-c)
9^11/9^5 = 9^(11-5)
= 9^6
Answer:
standard form is 45x -12y -100 = 0.
Step-by-step explanation:
Given the equation is -3/2x=-2/5y-10/3.
Finding common denominator, L.C.M.(2,5,3) = 30.
Multiplying both sides by 30.
30*(-3/2x) = 30*(-2/5y-10/3)
-45x = -12y -100
Moving all terms on left side, keeping right side equal to 0.
-45x +12y +100 = 0
Making x's coefficient positive by changing all signs.
45x -12y -100 = 0
Hence, standard form is 45x -12y -100 = 0.
Answer:
Step-by-step explanation:
You want to rewrite the equation
Ax +By=C A,B,C are integers
30(-3/2x) = 30(-2/5y-10/3)
-45x = -12y - 100
-45x + 12y = -100
Answer:
B & D
Step-by-step explanation:
The quadratic formula can be used to solve for x for any quadratic. Recall a quadratic is any function whose highest exponent known as degree is 2. Looking at the answer selections, A has one term with exponent 3. This isn't possible in the formula. Looking at answer C, the term with exponent 2 has the same coefficient on each side of the equal sign. When it is rearranged these will cancel out no exponent of 2 will be in the equation anymore. Only B & D work after being rearranged and simplified
The two equations after simplifying will give quadratic equations are:-
x ²-6x-7=2x² and 5x²-3x+10=2x².
The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
Solving for the quadratic equation:-
Option B:-
x ² - 6x - 7 = 2x²
- 2x² + x ² - 6x - 7 = 0
x ² + 6x + 7 = 0
Option D:-
5x² - 3x + 10 = 2x².
5x² - 2x². - 3x + 10 = 0
3x² - 3x + 10 = 0
Therefore two equations after simplifying will give quadratic equations are- x ²-6x-7=2x² and 5x²-3x+10=2x².
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Option B:
Equation of the line of best fit in slope-intercept form is .
Solution:
Take two points on the line (0, 1) and (4, 3).
So, .
Slope of the line:
y-intercept means the point which crosses at y-axis.
Here the point on the y-axis is (0, 1).
y-intercept (b) = 1
Slope-intercept form:
y = mx + b
Equation of the line of best fit in slope-intercept form is .
Option B is the correct answer.