The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 20 + 38.7t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

Answer 1

Answer: h(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds.
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up.

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Which of the following binomials is Not prime? a. 2x+1 , b. 3x+2 , c. x2-4 , d. x2+8

Answers

I believe you answer is c.x2-4 because of its form

Which algebraic expression is equivalent to this expression?3(2x − 8) – 11x

A.
-5x – 8
B.
-17x – 24
C.
-17x – 24
D.
-5x – 24

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

$\huge\boxed{D.\ -5x-24}$

Step-by-step explanation:

$3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\n\n=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\n\n=(6x-11x)-24=-5x-24$

What isthe nth term in the sequece 1 3 5 7 9

Answers

If you add 2 the answer is 11, because
1+2 = 3 and 3+2 = 5 and 5+2 = 7
I hope this helps

or you could....

15 would be the ninth term in this sequence , because you have

1 3 5 7 9 11 13 15

skip every other number like 1 skip 2 , you have 3 skip 4 , you have 5 , skip 6

i hope this helps? :)

1, 3, 5, 7, 9, 11, 13, 15, 19

We can tell that the pattern is add 2.

9+2 = 11

11, 13, 15, 19

Answer: 19

A washer and a dryer cost $814 combined. the washer costs $36 less than the dryer. what is the cost of the dryer?

Answers

This is a systems of equation problem.
First, set up the equation.
814=w+d w=d-36

Second, insert w= in for w in the equation.
814=d-36+d

Third, combine like terms.
814=2d-36

Fourth, solve the equation by adding 36 and dividing by 2 to both sides.
814=2d-36
+36 +36
___________
850=2d
----- ----
2 2

__________
425=d

So the dryer (d) costs $425.

Put the following equation of a line into slope-intercept form, simplifying all fractions: 6x + 2y = -4.

Answers

Answer:

y = - 3x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the equation

6x + 2y = - 4 ( subtract 6x from both sides )

2y = - 6x - 4 ( divide through by 2 )

y = - 3x - 2 ← in slope- intercept form

Final answer:

To put the equation 6x + 2y = -4 into slope-intercept form, subtract 6x from both sides of the equation. Then, divide both sides by 2 to isolate y. The resulting equation is y = -3x - 2.

Explanation:

To put the equation 6x + 2y = -4 into slope-intercept form, we need to solve for y. First, subtract 6x from both sides of the equation: 2y = -6x - 4. Then, divide both sides of the equation by 2 to isolate y: y = -3x - 2. This is now in slope-intercept form, where the slope is -3 and the y-intercept is -2. The question asks to put the equation 6x + 2y = -4 in slope-intercept form and simplify all fractions. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Here are the steps to follow: Isolate y on one side of the equation: 2y = -6x - 4

Divide all terms by 2 to solve for y: y = -3x - 2

So, the equation in slope-intercept form is y = -3x - 2. The slope (m) is -3 and the y-intercept (b) is -2.

Learn more about slope-intercept form here:

brainly.com/question/37778219

#SPJ11

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