All categories

3 years ago

D (t)=16t□2+96t+112 where t represents time in seconds

Mathematics

1 answer:

Luda [366]3 years ago

3 0

A.
the starting point is where t=0
d(0)=-16(0)^2+96(0)+112
D(0)=112
started from 112 feet

b. max height is vertex
for
y=ax^2+bx+c
the x value of the vertex is -b/2a

so
D(t)=-16t^2+96t+112
t value of vertex is -96/(2*-16)=3
it reaches after 3 seconds

C. simpliy evaluate D(t) for t=3
D(3)=-16(3)^2+96(3)+112
D(3)=-16(9)+288+112
D(3)=-144+400
D(3)=256
max height is 256ft

You might be interested in

If line segment AB represents %, what is the length of a line segment that is 100%?

const2013 [10]

I believe it’s 8 inches

3 0

3 years ago

The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for

swat32

Let the price of flowers in September be x, then (100 + 20)/100 * x = $1.50
120/100 * x = $1.50
1.2x = $1.50
x = $1.50/1.2 = $1.25
The price of flowers in September is $1.25

Total money realised in September = $1.25 x 900 = $1,125
40% earned = 0.4 x $1,125 = $450

Total money realised in October = $1.50 x 700 = $1,050
40% earned = 0.4 x $1,050 = $420

The class earned more money in September and they earned $30 more than in October.

7 0

3 years ago

Which product is positive a is 2/5 -8/9 -1/3 -2/7 b is -2/5 8/9 -1/3 -2/7 c is 2/5 8/9 1/3 -2/7 d is -2/5 -8/9 1/3 2/7

PIT_PIT [208]

Answer:

(D)

Step-by-step explanation:

A. $\frac{2}{5}{\times}\frac{-8}{9}{\times}\frac{-1}{3}{\times}\frac{-2}{7}=\frac{-32}{945}$ which is a negative number, thus Option A is incorrect.

B. $\frac{-2}{5}{\times}\frac{8}{9}{\times}\frac{-1}{3}{\times}\frac{-2}{7}=\frac{-32}{945}$ which is a negative number, thus Option B is incorrect.

C. $\frac{2}{5}{\times}\frac{8}{9}{\times}\frac{1}{3}{\times}\frac{-2}{7}=\frac{-32}{945}$ which is a negative number, thus option C is incorrect.

D. $\frac{-2}{5}{\times}\frac{-8}{9}{\times}\frac{1}{3}{\times}\frac{2}{7}=\frac{32}{945}$ which is a positive number, thus option D is correct.

7 0

3 years ago

Read 2 more answers

16 = d - 12 / 14 <br> what is the answer?

Aleonysh [2.5K]

Answer:

16=d-12/14

We simplify the equation to the form, which is simple to understand

16=d-12/14

Simplifying:

16=d-0.857142857143

We move all terms containing d to the left and all other terms to the right.

-1d=-0.857142857143-16

We simplify left and right side of the equation.

-1d=-16.8571428571

We divide both sides of the equation by -01 to get d.

d=16.8571428571

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.

Brilliant_brown [7]

9514 1404 393

Answer:

(b) -36

Step-by-step explanation:

Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)

This table shows the remainder, which is f(-2), is -36.

The equation itself can be rewritten in "Horner form" to facilitate evaluation.

f(x) = (((-x +2)x -1)x +4)x +8

In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.

f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8

= (((4)(-2) -1)(-2) +4)(-2) +8

= ((-9)(-2) +4)(-2) +8

= (22)(-2) +8

= -36

f(-2) = -36 . . . . remainder from synthetic substitution

6 0

3 years ago