Answer:
D
Step-by-step explanation:
When you simplify the expression you start by subtracting 5 from both sides. This gives you 0.2x > -3. Then to isolate "x" you divide both sides by 0.2. This gives you x > -15, which is shown in the number line.
Answer:
A
Step-by-step explanation:
Let's first define what exactly the values of a, b, and c represent.
- a: this is the coefficient of the x^2 term
- b: this is the coefficient of the x term
- c: this is the constant term (no variable attached)
Our equation is: y = 7x^2 - 3x + 9.
The coefficient of x^2 is 7, so a = 7. The coefficient of x is -3, so b = -3. And finally, the constant term is 9, so c = 9.
Thus, the answer is A.
Answer:
Amy's car tank capacity is 16 gallons.
Step-by-step explanation:
Let the capacity of the tank be 'x'
Given:
Amount of gas in the car till it is refilled =
Amount of gas added = 14 gallons.
We need to find the capacity of the tank.
Solution:
Now we can say that
Total Capacity of the tank is equal to sum of Amount of gas in the car till it is refilled and Amount of gas added.
framing in equation form we get;
Combining the like terms we get;
Now making the denominators common we will use L.C.M.
Now multiplying both side by 8 we get;
Now dividing both side by 7 we get;
Hence Amy's car tank capacity is 16 gallons.
Given:
The diameter of the circle = 14 cm
To find:
The area of the circle.
Solution:
We have,
Diameter of the circle = 14 cm
We know that the radius of the circle is half of its diameter. So,
The area of a circle is:
Substituting in the above formula, we get
Therefore, the area of the circle is 154 square cm.
Distribute -1/2 to 1/4x and -3/8
Multiply across