Answer:
Keep the base the same and then subtract the exponents.
Step-by-step explanation:
According to one of the law of indices, for given values a, m and n;
a^m/a^n = a^(m-n)
The base value which is a is maintained and the difference of exponents are taken. In indices division becomes subtraction.
Now given the expression
3^-6/3^-4
As we can see, both the numerator and denominator has the same base which is 3, therefore we will keep the base and take the difference of its exponents according to the law above:
3^-6/3^-4 = 3^(-6-(-4))
= 3^(-6+4)
= 3^-2
= 1/3^2
= 1/9
A because you have to make 16/32 into 1/2, and 4/16 is not a half.
Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.
Answer:
44
Step-by-step explanation:
There are 4 quarters in a dollar.
"How many quarters are there in eleven (11) dollars?"
4 x 11 = 44
There are 44 quarters in eleven dollars.
Answer:
3/4
Step-by-step explanation:
3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4
y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope
