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ddd [48]
3 years ago
14

N a group of 25 Kingswood students: 8 are on the cross-country running team, 13 are on the math league team, and 6 are on both t

eams. How many of the students are not on a team?
Mathematics
1 answer:
Contact [7]3 years ago
5 0

Answer:

10 Kingswood students are not on a team

Step-by-step explanation:

8-6 is 2 so 13 +2 is 15 so 15 are on a team, 20-15 is <em>10</em><em>.</em>

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For the graph, which are possible functions of f and g? ​
GuDViN [60]

Answer:

f= 3ˣ

g= (1/3)ˣ

Step-by-step explanation:

5 0
2 years ago
Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,
MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

       $=0-0+6$

       $=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

   It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴  x coordinate = $\frac{-(-7)}{2 \times 1} $

                         $\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

         = -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get   $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts  are the points where the parabola crosses the x-axis, which is the height $h(x)=0$. The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$.

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0
2 years ago
The Cincinnati Enquirer reported that, in the United States, 66% of adults and 87% of youths ages 12 to 17 use the Internet. Use
monitta

Answer:

D

Step-by-step explanation:

i think so but it will help you

4 0
3 years ago
5x+10=5(x+2) what is the answer I’ll give u 85 points
asambeis [7]

Answer:

All real numbers of x.

Step-by-step explanation:

5x+10=5(x+2) have the exact same equations on both sides.

5x+10=5x+10

If both are graphed, they will intersect each other for every value of x.

5 0
3 years ago
Read 2 more answers
Vehicles drive across Bridge A at a steady rate of 20 cars per hour. Twice as many vehicles drive across Bridge B in twice as mu
zavuch27 [327]
No, because it says bridge B has twice as many so there are 40 cars for 2 hours because it says twice as much time. So the unit rate is 20 cars each hour, so there will be the same unit rate.
5 0
3 years ago
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