2^5/2^2 = 2^(5-2)
= 2^3
= 8
Answer:
5 9/20
Step-by-step explanation:
4 7/10 + 6/8
Simplify the fractions by dividing the second top and bottom by 2
4 7/10 + 3/4
Getting a common denominator of 20
4 7/10 *2/2 + 3/4 * 5/5
4 14/20 + 15/20
4 29/20
4 + 20/20 + 9/20
4+1+9/20
5 9/20
Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
Following expressions will have negative product

Following expressions will have positive product

Further explanation:
We will see at each expression one by one
First expression is:

In the given expression one term is positive and one term is negative. The product of negative and positive terms is negative.
Second Expression is:

Both terms are negative and the product of two negative terms is positive.
Third Expression is:

The expression has one positive and one negative term so the product will be negative
Fourth Expression is:

Both terms are positive so the product will also be positive
Keywords: Product, Expressions
Learn more about expressions at:
#LearnwithBrainly
Answer:
<u>Infotron should produce each day 13 hockey and 6 soccer games</u>
Step-by-step explanation:
x = Number of hockey games Infotron should produce
y = Number of soccer games Infotron should produce
Number of labor-hours for assembly = 2x + 3y
Number of labor-hours for testing = 2x + y
Now we can write our equations system, this way:
2x + 3y = 44
2x + y = 32
*********************
Expressing y in terms of x in the 2nd equation:
2x + y = 32
y = 32 - 2x
********************
Substituting y and solving for x in the 1st equation:
2x + 3y = 44
2x + 3 * ( 32 - 2x) = 44
2x + 96 - 6x = 44
-4x = 44 - 96
-4x = - 52
x = -52/-4
x = 13
*****************
Solving for y in the 2nd equation:
2x + y = 32
2 * 13 + y = 32
26 + y = 32
y = 32 - 26
y =<u> 6</u>
<u>Infotron should produce each day 13 hockey and 6 soccer games</u>