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3 years ago

7

A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The roc

ket's height above the surface of the lake is given by g(x)= -16x² + 72x + 80. How long will it take to hit the ground?

1 answer:

KonstantinChe [14]3 years ago

4 0

Step-by-step explanation:

g(x)= -16x² + 72x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 72(2) + 80

-16(4)+128+80

-72+128+80

= 136

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Solve x3 = 64 over 27. ±8 over 3 8 over 3 ±4 over 3 4 over 3

sp2606 [1]

<span> x =(-12-√-432)/18=(-2-2i√<span> 3 </span>)/3= -0.6667-1.1547i</span><span> x =(-12+√-432)/18=(-2+2i√<span> 3 </span>)/3= -0.6667+1.1547i</span><span> x = 4/3 = 1.333</span>

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3 years ago

The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y<3x−9 c. y−2x>5 d. 4y+2x≤−1

stiks02 [169]

Answer:

Option d. $4y+2x\leq -1$

Step-by-step explanation:

we know that

If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality

Verify each case

case a) $y\geq2x+8$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-3\geq2(5)+8$

$-3\geq18$ -----> is not true

therefore

the ordered pair is not a solution

case b) $-2y$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-2(-3)$

$6$ -----> is not true

therefore

the ordered pair is not a solution

case c) $y-2x>5$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(5)>5$

$-13>5$ -----> is not true

therefore

the ordered pair is not a solution

case d) $4y+2x\leq -1$

we have

$x=5, y=-3$

Substitute the value of x and the value of y in the inequality and then compare the results

$4(-3)+2(5)\leq -1$

$-2\leq -1$ -----> is true

therefore

the ordered pair is a solution

7 0

4 years ago

PLZ HELP ME I NEED HELP AND FAST ⚠️

Liula [17]

Answer:

Yor awnser is C and D.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

on a piece of paper, graph this system of equations. y = - x - 10 y = x^2 - 2x - 3 then determine which answer choice matches th

olasank [31]

Answer:

Option D. No solution

Step-by-step explanation:

<u>We have the equation of a line: </u>

$y = - x - 10$

We find their cut points.

<em>Cut point with the y axis. (x = 0) </em>

$y = -(0) -10\\y = -10$

<em>Cut point with the x axis. (y = 0) </em>

$0 = -x -10\\x = -10$ .

The line cuts to the x-axis at $x = -10$ and cuts the y-axis at $y = -10$

<u>We have a parabola </u>

$y = x ^ 2 - 2x - 3$

We can factor this quadratic equation by looking for 2 numbers that when multiplied give as result -3 and that when adding these numbers as a result -2. These numbers are -3 and 1.

Then the factors are:

$(x-3)(x + 1) = 0$

The zeros are 3 and -1. So <em>the parabola cuts to the x axis at points </em><em>3</em><em> and</em><em> -1</em><em>. </em>

<em>Now we find the cut points with the y axis. (x = 0) </em>

$y = (0-3)(0 + 1)\\y = -3.$

<em>The parabola cuts to the axis y in y = -3. </em>

Now we can graph the line and the parabola. Observe the attached image.

<em>The system has no solution because the line and the parabola never intersect or touch each other. The answer is the option D</em>

8 0

3 years ago

mote1985 [20]

Answer:

Step-by-step explanation:

the answer is 189

8 0

3 years ago

Read 2 more answers