Answer:
y=-3.667
x=
Step-by-step explanation:
-4(10y-59)+10y=86
30y+196=86
30y=-110
y=-3.667
Answer:
3 1/5
Step-by-step explanation:
8/1 = 8
8/1 * 2/5 = 16/5
16/5 = 3 1/5
Answer:
x1= -7
x2=7
Step-by-step explanation:
To find the zeros of a polynomial function, you need to factorize it into multiple monomials or simply use a formula. Most questions want you to factorize the function, so I will solve this by factorization
g(x)=-10x^2 +490
0= -10x^2 +490 ----> we looking for zeroes, so g(x)=0
-10(x^2 - 49)=0 ---> divide -10 from both number
x^2 - 49 =0 ---> divide both side by -10, notice that 49 is 7^2
(x+7)(x-7)=0 ---> x^2 - y^2 = (x+y) (x-y)
x1
x+7 = 0
x= -7
x2
x-7=0
x= 7
Answer:
The total number of feet in all the boards is 90 and 5/6 feet
Step-by-step explanation:
First, it is necessary to transform the mixed number into a fraction. This can be made following the next rule:

So, the number 8 and three fourth feet is equal to:

That means that we two boards that are 35/3 feet. So, multiplying 2 by 35/3 we get the total feets for the first type of board. That is:

At the same way, we can calculate the total number of feet for the second and third type of board as:
- Four boards that are 13 and five eighths feet:


- Two boards that are 6 one half feet:


Finally, to find the total number of feet in all the boards, we need to sum the total number of feet for every type as:

Converting this number to a mixed number we get:

Because, when we divide 545 by 6, we get 90 as a quotient, 5 is the remainder and 6 is the divisor.
Answer:
D
Step-by-step explanation:
If you multiply something that is a negative number by something that is positive, in this case, the power of 2, then the answer will still be negative. So -5 ^ 2 is negative 25. When you calculate the power of a negative number, then the result depends on the power of the number, so if it's a positive 2 then the answer will be positive.