x² - x - 12 ≠ 0
x² - 4x + 3x - 12 ≠ 0
x (x - 4) + 3 (x - 4) ≠ 0
(x + 3)(x - 4) ≠ 0
x ≠ -3 or x ≠ 4
(B)
Answer:
<h2>357°F </h2>
Step-by-step explanation:
Step one:
given data
actual reading= 350°F
thermometer reading 2% of the actual reading
Step two:
Required:
The thermometer reading
let us find 2% of 350°F
2/100*350°
=0.02*350
=7°F
Hence the thermometer reading is 7°F greater than 350°F
The thermometer reading is 350+7=357°F
Given the equation, 5x + 22 = 27:
The goal is to isolate the variable. Hence, a few mathematical operations are necessary to solve for the value of x.
Start by subtracting 22 both sides:
5x + 22 - 22 = 27 - 22
5x + 0 = 5
5x = 5
Next, divide both sides by 5 to isolate and solve for the value of x:
5x/5 = 5/5
x = 1
In order to verify whether x = 1 satisfies the give equation, we must substitute its value into the given equation:
5x + 22 = 27
5(1) + 22 = 27
5 + 22 = 27
27 = 27 (True statement. This implies that x = 1 is the correct value that satisfies the equation).
Therefore, the correct answer is x = 1.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?
A. 2½
B. 5½
C. 10
D. 15
Answer:
Number of jugs = 10
Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.
Step-by-step explanation:
David has 5 gallons of punch that he wants to pour into jugs.
The capacity of 1 jug is ½ gallon.
The required number of jugs may be found as
Number of jugs = gallons of punch/capacity of jug
For the given case, we have
Gallons of punch = 5
capacity of jug (in gallons) = ½ = 0.5
So, the required number of jugs is,
Number of jugs = 5/½
Number of jugs = 5/0.5
Number of jugs = 10
Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.
