Help, please. Formula for this problem?

Mathematics

1 answer:

dexar [7]3 years ago

7 0

If I'm correct, x=16

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The sum of three consecutive rven integers is 72. Let x represent the first integer, x+2 represent the srcond integer, and x+ 4

Vsevolod [243]

Given parameters:

First term of the sequence = x

Second term = x + 2

Third term = x + 4

Sum of the first three terms = 72

Unknown:

First term of the sequence = ?

Solution:

The sum of the first three terms is unknown;

(x) + (x + 2) + (x + 4) = 72

Solve for x;

x + x + 2 + x + 4 = 72

3x + 6 = 72

3x = 72 - 6

3x = 66

x = $\frac{66}{3}$ = 22

The first term of the sequence is 22

5 0

3 years ago

The height of a ball above the ground as a function of time is given by the function h(t)=−32t2+8t+3 where h is the height of th

gavmur [86]

Answer:

0.125 seconds.

Step-by-step explanation:

We have been given that the height of a ball above the ground as a function of time is given by the function $h(t)=-32t^2+8t+3$ , where h is the height of the ball in feet and t is the time in seconds.

We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.

To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.

Using formula $\frac{-b}{2a}$ , we will find the x-coordinate of vertex of parabola as: