Answer:
I think the constant is 2.
Step-by-step explanation:
5 is coefficient because it is with a variable. So 5 cannot be constant.
Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
= 7/2
= 3.5
For the point (4, 14)
k = y/x
= 14 / 4
= 7/2
= 3.5
For the point (5, 17.50)
k = y/x
= 17.5 / 5
= 3.5
For the point (9, 31.50)
k = y/x
= 31.50 / 9
= 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
= 7
The price of 4 board game
y = 3.5 (4)
= 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
I would not buy the Iphone 7 because they did not take out the correct percent off. 25% would be .25, so .25 x 675=168.75 should be taken off the price to make it sale price $506.25.
The store had the computer take only 20% off of the price because:
675-540=135 for the amount they took off.
% x 675=135
%=135/675
%=.2 or 20%
You can figure this out if you just look at (x+a)^2 = x^2 + 2ax + a^2. See, the constant term, a^2, is the coefficient of x (2a), divided by 2 (2a/2=a), and then squared (a^2)
<span>So you equation has 8x. 8/2 = 4, and 4^2 = 16. So the answer is A.</span>
In order to find the answer to this question, we need to use the quadratic formula.
-b +- √b² - 4ac
2a
In this equation, 5 is a, 16 is b, and -84 is c. You'll notice that the formula says 'plus or minus', meaning that there are two answers depending on whether you add or subtract. Let's start by adding.
-16 + √16² -(4(5)(-84)
2(5)
Use a calculator to simplify. Remember PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction) when deciding which order to go in.
-16 + 44
10
2.8
One solution is 2.8. Now, let's do the same thing, but subtract this time. Keep in mind that the number under the radical stays the same, so you don't have to recalculate that.
-16 - 44
10
-6
The solutions to the equation are 2.8 and -6.
Hope this helps!
