Answer:
<h2><u>b = 2 or b = -2</u></h2>
Explanation:
|4b + 4| = |2b + 8|
<em>Solve absolute value</em>
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 <em>(Possibility 1)</em>
4b + 4 − 2b = 2b + 8 − 2b <em>(Subtract 2b from both sides)</em>
2b + 4 = 8
2b + 4 − 4 = 8 − 4 <em>(Subtract 4 from both sides)</em>
2b = 4
2b / 2 = 4 / 2 <em>(Divide both sides by 2)</em>
b = 2
4b + 4 = −(2b + 8) <em>(Possibility 2)</em>
4b + 4 = −2b − 8 <em>(Simplify both sides of the equation)</em>
4b + 4 + 2b = −2b − 8 + 2b <em>(Add 2b to both sides)</em>
6b + 4 = −8
6b + 4 − 4 = −8 − 4 <em>(Subtract 4 from both sides)</em>
6b = −12
6b / 6 = -12 / 6 <em>(Divide both sides by 6)</em>
b = -2
<h2><u>b = 2 or b = -2</u></h2>
Answer:
300 students are enrolled.
Step-by-step explanation:
As the university accepts 60% of the students who apply.
As 2000 students apply, it means that:
2000 × 60% ⇒ 2000 × 0.6 = 1200 students are accepted
Out of these 1200, 25% enrolled
1200 × 25% ⇒ 1200 × 0.25 = 300 students are enrolled
Therefore, 300 students are enrolled.
Answer:
The unique solution to the system is (x,y){(-9,-3)}
Step-by-step explanation:
x - y = -6 equation 1
5x + 6y = -63 equation 2
We will find the value of x from equation 1.
x= y-6
Now put the value of x in equation 2.
5(y-6)+6y = -63
5y-30+6y = -63
Combine the like terms:
5y+6y= -63+30
11y = -33
Divide both sides by 11.
11y/11 = -33/11
y = -3
Now put the value y = -3 in x=y-6
x = y-6
x= -3-6
x= -9
Therefore The unique solution to the system is (x,y){(-9,-3)} ....
A function could be linear or not. Is the rate of change consistent, increasing, or decreasing? Is does the symbol have one minimum value or maximum value, or several such values?
Answer:
(f+g)(2) = 4
(f-g)(4) = 8
(f ÷g)(2) = 7
(f x g)(1) = 0
Step-by-step explanation:
We are given these following functions:
(f+g)(2)
At 
Then
(f+g)(2) = 4
(f-g)(4)
At x = 4
Then
(f-g)(4) = 8
(f ÷g)(2)
At x = 2
Then
(f ÷g)(2) = 7
(f x g)(1)
Then
So
(f x g)(1) = 0
