Answer:
4x+20=31
Step-by-step explanation:
So one hour of bowling is 20 dollars and they bowled for one hour hence the 1x20 which is equal to 20. That is the base coast we add to the variable of x that is the cost of renting one pair of shoes. And since they rented 4 pairs of shoes you multiply x by 4 to get 4x. Add the 20 dollars they paid to bowl and it is 4x+20. They paid 31 dollars in total so equal the equation to 31. 4x+20=31. Solution is $2.75 per pair of shoes. (If you want an explanation as to how to get the answer, just ask
Answer:
3577
Step-by-step explanation:
From the question given above, the following data were obtained:
7•2ᶦ
i = 0, 1, 2, .., 8
Sum =?
The sum can be obtained as follow:
7•2ᶦ
i = 0
7•2⁰ = 7 × 1 = 7
i = 1
7•2ᶦ = 7•2¹ = 7 × 2 = 14
i = 2
7•2ᶦ = 7•2² = 7 × 4 = 28
i = 3
7•2ᶦ = 7•2³ = 7 × 8 = 56
i = 4
7•2ᶦ = 7•2⁴ = 7 × 16 = 112
i = 5
7•2ᶦ = 7•2⁵ = 7 × 32 = 224
i = 6
7•2ᶦ = 7•2⁶ = 7 × 64 = 448
i = 7
7•2ᶦ = 7•2⁷ = 7 × 126 = 896
i = 8
7•2ᶦ = 7•2⁸ = 7 × 256 = 1792
Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792
Sum = 3577
What is the full question? This is just a statement.
2x2-5x-18=0
Two solutions were found :
x = -2
x = 9/2 = 4.500
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 18 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-18
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18
Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization
Equation at the end of step 2 :
(2x - 9) • (x + 2) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Just do (41x25)+(6x110
which is 1091
