The answer would be -10 if you want me to explain tell me to <span />
Answer: Answer A: Both classes have a range of 45
Step-by-step explanation:
above the two graphs we can see a number line ranging from 50-100
bellow that, we can see 2 box and whisker plots, one for second period and one for fourth period. the larger rectangular boxes show all the number results, the line in between them states the average result. Both lines have starting points at 55 and ending points at 100.
100-55=45 45 being the range. Since 2nd and 4th both share the same range answer A could possibly be correct
B is wrong because 2nd period has a median of 90
C is wrong because no periods have a median of 100
D is wrong because most of the students scored an 85+
conclusion: answer A is correct
The answer to 2y+7(y-3)=60 is y=9
Answer:
simplify -1(3/5)÷(-2/3) = 9/10
=90/100
= .90 and there's your answer
<span>x^2 + 15x + 56.25 = 105.25
"Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
x^2 + 15x + 56.25 = 49 + 56.25
Which is
x^2 + 15x + 56.25 = 105.25
Which is the answer desired.
Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?"
Well, we know that the left hand side of the equation can now be written as
(x+7.5)^2 = 105.25
Now take the square root of each side
(x+7.5) = sqrt(105.25)
And let's use both the positive and negative square roots.
So
x+7.5 = 10.25914226
and
x+7.5 = -10.25914226
And let's find X.
x+7.5 = 10.25914226
x = 2.759142264
x+7.5 = -10.25914226
x = -17.75914226
So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>