When you multiply radical expressions you multiply the numbers under the radical symbols.<span><span>3–√</span>×<span>7–√</span>=<span>21<span>−−</span>√</span></span>
When you add radical expression you CANNOT add the numbers under the radical symbols.
<span><span>3–√</span>+<span>7–√</span>≠<span>10<span>−−</span><span>√</span></span></span>
This will be solved by solving for x first. Firstly you multiply the top equation by 2 and the bottom by -3. This will change both equation to (top)-10x+6y=-54 and (bottom) 27x-6y=-57. Now when you add the factors the y-values cancel out leaving you with; 17x=-3. now you have to divide by 17 on both sides giving you x=-0.17647058823 (not the prettiest solution but you can round if you want to). After that pick an equation to solve for y (I'm picking the top); the equation will be 5(-0.17647058823)+3y=-27. multiply the negative decimal and 5 to get -0.88235294117 (again not the prettiest). Add that to both sides which will give you 3y=-26.1176470588. After this divide both sides by 3 which will give you y=-8.70588235294. Your answer is (-0.17647058823,-8.70588235294) You can divide to the second or third decimal if needed-----remember that as you round from left to right on a decimal if it's below five you leave it and if it's above 5 then round up 1. I hope this help :)
Answer:
C.20
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Lower bound: 70
Upper bounf: 110
Margin of error:
Thus the correct answer is given by option C.
Answer:
2
Step-by-step explanation:
If we look at the graph this is an increasing graph where y increases with respect to x so in other words we can say that y is directly proportional to x.
and when we remove the proportionality sign we replace it with an equal to sign and a constant. So it becomes ,
now to find the Constant of proportionality which is k we can use any ordered pair(coordinate/point) from the graph,
Lets take ( 2 , 4) where 2 represents the value of x on the x-axis and 4 represents the value of y on the y-axis so now,
so the constant of proportionality is 2
The answer is 310 because the total amount of miles is 650. So, you will subtract 340 from 650 giving you 310 miles to go.
