Answer:
Yes, they are equivalent
Step-by-step explanation:
Case 1,
Distance = 250 miles
Time = 4 hours
Ratio = speed = distance/time
= 250 miles/4 hour
= 62.5 mph
Case 2,
Distance = 500 miles
Time = 8 hours
Ratio = speed = distance/time
= 500 miles/8 hour
= 62.5 mph
In both cases, the ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.
Answer:
I might not be right but try following the steps in the screen shot
Also the answer is in the screenshot
Step-by-step explanation:
I tried my best. :>
F(x)=2x+8
F(-1.8)=2(-1.8)+8
f(-1.8)=-3.6+8
f(-1.8)=4.4
Answer: 2.1 Find the Vertex of y = x2-17x-50
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000
Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :
y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 - 50.0
or y = -122.250
Step-by-step explanation:
- √7
using the ' law of radicals '
√a × √b ⇔ √ab
simplifying each radical
√28 = √(4 × 7) = √4 × √7 = 2√7
√63 = √(9 × 7) = √9 × √7 = 3√7
7√28 - 5√63 = 7(2√7) - 5(3√7) = 14√7 - 15√7 = - √7