Answer: Destiny's speed is 11 mph.
Alicia's speed is 15 mph
Step-by-step explanation:
Destiny and Alicia both leave the coffee shop at the same time, but in opposite directions. If they are 78 miles apart after 3 hours, it means that the total distance that they covered in 3hours is 78 miles
Let x represent the speed at which Destiny travelled. If Alicia travels 4 mph faster than Destiny, it means that the speed at which Alicia travelled is (x + 4) mph
Distance = speed × time
Distance covered by Destiny in 3 hours is
3 × x = 3x
Distance covered by Alicia in 3 hours is
3(x + 4) = 3x + 12
Since the total distance is 78 miles, then
3x + 3x + 12 = 78
6x = 78 - 12 = 66
x = 66/6 = 11 mph
Alicia's speed is
11 + 4 = 15 mph
Answer:
The vertex or top is ( 2, -9)
Step-by-step explanation:
Given y = (x - 5 ) * ( x + 1 )
x² - 4x - 5
See attachment.
The vertex of the parabola is the Top.
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
If the coefficient of the x² term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x² term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
The standard equation of a parabola is it
y = ax² + bx + c.
But the equation for a parabola can also be written in "vertex form": y = a(x−h)² + k
In this equation, the vertex of the parabola is the point (h,k) = (2, -9)
Answer: It cost 8$ for the truck
Step-by-step explanation:
X^2 + 10 = 35 when x = -5
x + x + x = 3x = -15 when x = -5.
The answer is B because part A just restates the first equation, and Part C determines which is greater. If you want to determine the difference between the two when x = -5, part B is the best answer because it subtracts the product of one of them from the other.
Answer:
<em>500πx³y³z³ </em>
Step-by-step explanation:
Volume of a sphere = 4πr³
r is the radius of the sphere
Given
Diameter of the sphere = 10xyz mm
Radius = diameter/2
Radius = 10xyz/2
Radius = 5xyz
Substitute the radius into the formula
Volume of the sphere = 4π(5xyz)³
Volume of the sphere = = 4π(125)x³y³z³
Volume of the sphere = 500πx³y³z³
<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>
