Factor by groupins
x^2 + xy - 2x - 2y
= x(x + y) - 2(x + y)
= (x - 2(x + y)
Answer:
Step-by-step explanation:
Looking at the graph, we can say that 40% of the people rode the bus. We also know that 80 people took the survey.
<u>Solution:</u>
- 40/100 x 80
- => 2/5 x 80
- => 2 x 16
- => 32 people
Hence, 32 people rode the bus.
Answer:
See the step-by-step explanation
Step-by-step explanation:
Let c be any element of C. (I'm not sure wether you have to assume that C is non-empt or not)
C is a subset of B. That means that as c is in C, it is also in B. (
)
Now, B is a subset of A. It follows that as 
.
That means c is an element of A. The predicate Q is true for all elements of A, including c.
Because we let c be any element of C, we have proven that the predicate Q is true for all elements in C.
32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
Step-by-step explanation:
Put the value y.
-2x-8(-5x+22)=14
-2x+40x-176= 14
38x-176 =14
38x = 190
x=5
Now put the value of X to find Y
Y= -5(5)+22= -25+22 = -3
=>X=. 5
=>Y= -3
