First, use the distributive property to expand the first equation.
3(x-4)=3*x+3*-4
=3x-12
Then we solve this as if it were an equation
3x-12≥5x+2
Minus 3x is
-12≥2x+2
Minus 2 is
-14≥2x
Which gets us that
(We had to flip the sign because we divided by a negative number).
You'll notice that this matches none of the choices, however, we are looking for the
solution set, not the solution. In this case, it means any number that is less than 7. The correct answer is
-10.
<em />:)
Answer:
Part A: option C. 135.2°F
Part B: 40 min
Step-by-step explanation:
<em>Part A:</em><em> What is the temperature in degrees Fahrenheit of the soup after 25 minutes?</em>
<u>1. Set an equation</u>:
- Temperature = Initial temperature - decrease in temperature
- decrease in temperature = rate of decrease × time
- Variables:
temperature: T
initial temperature: To = 192.7°F
decrease rate: 2.3°F / min
time = t
- Equation: T = 192.7°F - 2.3(°F/min) × t
2.<u> Substitute t = 25 min</u>
- T = 192.7°F - 2.3 (°F/min) × 25 min = 135.2 °F
Part B. <em>How many minutes will it take for the soup to cool to 100.7°F?</em>
2.<u> Solve the equation for t</u>
- T = 192.7°F - 2.3(°F/min) × t ⇒ t = (192.7 °F - T) / (2.3 °F/min)
3. <u>Substitute T = 100.7°F</u>
- t = (192.7°F - 100.7°F) / (2.3 °F/min) = 40 min
Answer:
Step-by-step explanation:
A)
y=−2x+4
y-int:
y=−2*0+4
y=4
x-int:
0=−2x+4
2x=4
x=2
(2,4)
B)
2x+3y=6
y-int:
2*0+3y=6
3y=6
y=2
x-int:
2x+3*0=6
2x=6
x=3
(3,2)
C)
1.2x+2.4y=4.8
y-int:
1.2*0+2.4y=4.8
2.4y=4.8
24y=48
y=2
x-int:
1.2x+2.4*0=4.8
1.2x=4.8
12x=48
x=4
(4,2)
8 is in the tenth position.
In order to round up, the number behind it (in this case. 9) must be one of the numbers of 5-9. Because 9 meets this requirement, you can round 8 to 9 and this will make 9 to 0.
Your answer is 490
Answer: This is what Khan Academy said the answer was
