Answer:
p = - 
, p = 1
Step-by-step explanation:
Given
1 - | 3p + 1 | = - 3 ( subtract 1 from both sides )
- | 3p + 1 | = - 4 ( multiply both sides by - 1 )
| 3p + 1 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
3p + 1 = 4 OR - (3p + 1) = 4
Subtract 1 from both sides
3p = 3 ( divide both sides by 3 )
p = 1
OR
- (3p + 1) = 4, that is
- 3p - 1 = 4 ( add 1 to both sides )
- 3p = 5 ( divide both sides by - 3 )
p = -
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
p = 1 : 1 - | 3 + 1 | = 1 - |4| = 1 - 4 = - 3 ← true
p = - : 1 - | - 5 + 1 | = 1 - | - 4 | = 1 - 4 = - 3 ← true
Thus the solutions are p = 1, p = -
Answer:
Distance = √34
Step-by-step explanation:
Using the formula for distance
d = √(x_2 - x_1)^2 + ( y_2 - y_1)^2
Using what we are provided with
Two points
( -2, -1)(3, 2)
x_1 = -2
y_1 = -1
x_2 = 3
y_2 = 2
Inserting the values
d = √ ( 3 -(-2)^2 + (2-(-1)^2
= √ (3+2)^2 + (2+1)^2
= √ 5^2 + 3^2
= √25 + 9
= √34
= 5.83
let number of green balls= x
let number of orange balls=x+4
x+x+4=38
2x=38-4
2x=34
x=17
number of green balls=17
number of orange balls=21
The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).
<h3>What is the linear system?</h3>
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function
The domain of the function is from zero to infinity because time can never be negative.
Then the range of the function will be
At m = 0, the value of C(m) will be
C(m) = 0.05(0) + 20
C(m) = 20
At m = ∞, the value of C(m) will be
C(m) = 0.05(∞) + 20
C(m) = ∞
Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).
More about the linear system link is given below.
brainly.com/question/20379472
