Answer:
x=−6
x=2
Step-by-step explanation:
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.
∣x+2∣−5=−1
Add 5 to both sides of the equation.
∣x+2∣=4
Use the definition of absolute value.
x+2=4
x+2=−4
Subtract 2 from both sides of the equation.
x=2
x=−6
Remember
we can do anything to an equation as long as we do it to both sides
try to isolate the variable
you have 2 types
x+b=c
x/b=c
fior the first type, minus b from both sides to get
x=c-b
for the second, multiply both sides by b to get rid of the fraction to get
x=cb
also remember that -x times -1=x
b.add 25 to both sides
-a=20
multiply -1
a=-20
c.
-t/8=-4
multiply both sides by 8
-t=-32
mutiply -1
t=32
d. -n/-5=-30
mulitply both sides by -5
-n=150
multiply both sides by -1
n=-150
e. multiply both sides by 12
-l=144
multiply b y-1
l=-144
The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation: f(z)=20+5z
Step-by-step explanation:
Given,
Delivery cost of 6 floral arrangements = $50.00
Delivery cost of 12 floral arrangements = $80.00
Let,
x be the constant rate for each floral arrangement.
y be the initial value.
According to given statement;
6x+y=50.00 Eqn 1
12x+y=80.00 Eqn 2
Subtracting Eqn 2 from Eqn 1

Dividing both sides by 6

Putting in Eqn 1;

The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation for the function;
Let z be the number of floral arrangements.
f(z) = initial fee + 5*Number of floral arrangements
f(z) = 20+5z
Keywords: function, subtraction
Learn more about functions at:
#LearnwithBrainly
Answer:
Pr(only one of them will pass the driving test) = 0.38
Step-by-step explanation:
The probability that Ben will pass = 0.8
Let Pr = pribability
Pr(Ben pass) = 0.8
Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8
Pr(Ben fail) = 0.2
The probability that Tom will pass = 0.7
Pr (Tom pass) = 0.7
Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7
Pr (Tom fail) = 0.3
Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)
Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)
Pr(only one pass) = 0.24 + 0.14
Pr(only one pass) = 0.38