Answer:
C. Are all real numbers greater than or equal to -8.
Step-by-step explanation:
Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.
The range of h, h(x), in the table given are all real numbers.
The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.
Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".
The slope of the first equation is -2, you can see it right off.
the slope of the second equation is 2, notice both are in slope-intercept form.
both equations are the equations of a line, so is really just two lines.
because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.
a system of equations with at least 1 solution, is a consistent system.
a consistent system with exactly 1 solution only, is not just consistent, but also independent.
Answer:B hope this helps
Step-by-step explanation:3.65, 3 2/3, 3.7 from least to greatest
a) The length of the outside of one piece of birthday cake is 3.64
b) The area of one piece is 12.8
<u>Step-by-step explanation:</u>
The given information are,
- A birthday cake has a circumference of 14π.
- The slices are cut at 30 degree angles.
- The birthday cake is in the shape of a circle.
The formula for the circumference of the circle is 2πr.
⇒ 2πr = 14π
⇒ 2r = 14
⇒ r = 14/2
⇒ r = 7
The radius of the birthday cake is 7.
<u>To find the length of outside of one piece :</u>
Length of the arc = (central angle / 360) × 2πr
⇒ (30/360) × 14π
⇒ (1/12) × 14π
⇒ (7/6)π
⇒ 1.16 × 3.14
⇒ 3.64
Therefore, the length of the outside of one piece of birthday cake is 3.64
<u>To find the area of one piece :</u>
Area of the arc = (central angle / 360) × πr²
⇒ (30/360) × π(7)²
⇒ (1/12) × 49π
⇒ (49/12) × (3.14)
⇒ 4.08 × 3.14
⇒ 12.8
Therefore, the area of one piece is 12.8
