Answer:
-113
Step-by-step explanation:
Let's use the Decomposition Method.
1) Use this rule:
.

2) Use the decomposition method.


_____________________

3) After simplification, we have:

4) Therefore,
.

Answer:
-22°F < x < 266°F.
Step-by-step explanation:
The question states the incorrect formula to convert the Celsius temperature (C) into the Fahrenheit temperature (F). The correct one is given by:
F = 9C/5 + 32.
The given temperature inequality in Celsius is:
-30°C < x < 130°C; where x is any number that satisfies the inequality.
To convert it into Fahrenheit, simply plug in the values in the above formula.
Lower Limit:
F = 9(-30)/5 + 32.
F = -54 + 32.
F = -22°F.
Upper Limit:
F = 9(130)/5 + 32.
F = 234 + 32.
F = 266°F.
Therefore, the inequality will be -22°F < x < 266°F!!!
Answer:
Vertex : 5
Y - intercept : (0,-4)
Step-by-step explanation:
-4 is on the y-axis.
Vertex is the maximum or the minimum point of the parabola.
Answer: x = 3, y = -6
Step-by-step explanation:
Substitute the y into the equation to get -2x=6x-24
8x=24 so x = 3. Then plug x=3 into the second equation to get y = -6
The reciprocal of 3/8 would be 8/3 (basically reversing the numbers).
When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.
3/4 ÷ 3/8
= 3/4 × 8/3
Simplifying gives us the final answer:
= 2
Let me know if you need any clarifications, thanks!