B. -2y2 - 11y + 10
C. -2y2 + 11y - 10
D. 2y2 + 11y - 10
Answer:
D..
Step-by-step explanation:
Given:
We need to reduce by
Solution:
To reduce the equation means we need to subtract the one equation from other.
First we will arrange the equation n proper format we get;
⇒ equation 1
Also Arranging other equation we get;
⇒ equation 2
Now we will subtract equation 2 from equation 1 we get;
Now Applying distributive property for the sign we get;
Now Arranging the like terms we get;
Hence the reduce form of the given equation is .
Answer:
2y^2 + 11y - 10
The answer is D.
Answer:
Dimes collected
Step-by-step explanation:
I took the test on edge
Answer:
$15
Step-by-step explanation:
This question can be solved with the use of a system of equations.
Start by defining the variables that will be used:
Let the cost of 1 adult and 1 child to attend the show be $a and $c respectively.
Form 2 equations and label them:
a +2c= 35 -----(1)
2a +3c= 60 -----(2)
Let's solve by elimination. Since the question is only asking for the cost for an adult to attend the show, we can work to eliminate the c term. This can be done by ensuring that the coefficients of c in both equation has the same numerical value (the sign does not really matter for now). In this case, we can make the coefficient of c to be 6 since it is the lowest common multiple of 2 and 3.
(1) ×3: 3a +6c= 105 -----(3)
(2) ×2: 4a +6c= 120 -----(4)
Since the coefficient of c in both (3) and (4) are +6, we can subtract one equation from the other to eliminate the term c.
(4) -(3):
(4a +6c) -(3a +6c)= 120 -105
Expand:
4a +6c -3a -6c= 15
a= 15
Thus, it costs $15 for one adult to attend the show.
Additional:
Do check out the following for an example on solving a system of equations by the substitution method!
Answer: 56 square feet
Step-by-step explanation:
When a square is inscribed within a circle, the side length of the square is equal to the diameter of the circle, divided by the square root of 2, this is the same as a square being cut out of the circle.
This means that area of the square =
= 98 square feet
Area of the circle is
= 3.142 X 7 X 7
= 153.958
Area of the remaining portion will be Area of the circle - Area of the square , that is
153 . 958 - 98
= 55. 958
≈ 56 square feet