The inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
<h3>Writing linear inequalities </h3>
From the question, we are to match the statements with the corresponding inequalities
- Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall
x ≤ 100 -5
x ≤ 95
- Temperature(x) is greater than the boiling point of water (100 °C)
x > 100
- John buys x chocolates worth $5 each but he has only $100 in his pocket
5x ≤ 100
- Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day
x ≤ 100
and
x ≥ 1/5 × 100
x ≥ 20 ≡ 20 ≤ x
∴ 20 ≤ x ≤100
Hence, the inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
Learn more on Writing inequalities here: brainly.com/question/1447311
#SPJ1
Answer:
x = 2+1/3i or 2-1/3i
Step-by-step explanation:
The equation of interest can be written in vertex form as ...
9(x -2)² +1 = 0
so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.
x = 2 ± √(-1/9)
In the desired form, the zeros of the given expression are ...
x = 2 +1/3i or 2 -1/3i
Answer:
<h2>3600</h2>
Step-by-step explanation:
Shift the decimals of both 213480 and 59.3 to the right by 2 decimal places. (This is needed to convert 59.3 to 5930, since long division must divide by a whole number.)
21348000÷5930
Therefore, 213480\div 59.3=3600213480÷59.3=3600.
Answer:
1 and -7/3
Step-by-step explanation:
In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
