The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+4. The object is dropped again from a different starting height so that it hits the ground 2 seconds later. Write a function g that models the path of the object the second time it is dropped.

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{9−7y(7)=6+5−3y−416}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{9−7y(7)=6+5−3y−416}[/tex]

[tex]\fbox{9+−49y=6+5+−3y+−416}[/tex]

[tex]\fbox{−49y+9=(−3y)+(6+5+−416)}[/tex](Combine Like Terms)

[tex]\fbox{−49y+9=−3y+−405}[/tex]

[tex]\fbox{−49y+9=−3y−405}[/tex]

Step 2: Add 3y to both sides.

[tex]\fbox{−49y+9+3y=−3y−405+3y}[/tex]

[tex]\fbox{−46y+9=−405}[/tex]

Step 3: Subtract 9 from both sides.

[tex]\fbox{−46y+9−9=−405−9}[/tex]

[tex]\fbox{−46y=−414}[/tex]

Step 4: Divide both sides by -46.

[tex]\fbox{−46y/−46 = −414/−46}[/tex]

[tex]\fbox{y=9}[/tex]

Answer:

[tex]\fbox{y=\fbox{9}}[/tex]

Answer: 46.9%

Step-by-step explanation:

Answer:

Fourteen thousand five hundred eight

Step-by-step explanation:

Answer:

The number that both a rational number and a whole number is 22

Step-by-step explanation:

The whole numbers are the non-negative integers

The integers are rational numbers with denominators 1

The rational numbers are the numbers that can be written in the form of [tex]\frac{a}{b}[/tex] ,

b ≠ 0

Let us study the numbers in the figure:

The set of whole numbers ⊂ the set of integers ⊂ the set of rational numbers

∵ 22 ∈ the set of whole numbers

∴ 22 is a whole number

∴ 22 is a whole number and an integer

∴ 22 is a whole number, an integer, and a rational number

The set of integers ⊂ the set of rational

∵ -88 and -191 ∈ the set of integers

∴ -88 and -191 are integers

∴ -88 and -191 are integers and rational numbers

∵ -10.1 ∈ The set of rational numbers

∴ -10.1 is a rational number

Let us answer the question

→ We need to find a number that is a rational number and a whole number,

   which means it must ∈ to the set of the whole numbers

∵ We only have one number ∈ the set of whole numbers, it is 22

∴ The number that both a rational number and a whole number is 22

Answer:

-4h < - 14

We solve for h by applying the inverse operations;

The inverse operation of multiplication is division, so we divide by -4 on both sides;

/-4      /-4

h < 3.5, it could be 3.4, 3.3, 3.2 3.123, 2.4, 2.576, there are tons of numbers below 3.5.

So anything below 3.5 would best be suitable for the equation.

Answer:

Directly to the left of a variable

Step-by-step explanation:

Answer:

x = 6√6

Step-by-step explanation:

27/x = x/8

x² = 27 × 8

x = √(27 × 8)

x = √(9 × 4 × 6)

x = 3 × 2 × √6

x = 6√6

Answer:

The geometric mean of 27 and 8 is [tex]6\sqrt{6}[/tex] or about 14.697

Step-by-step explanation:

The geometric mean is [tex]( \prod_{i=1}^{n} x_{i})^{\frac{1}{n}}=\sqrt[n]{x_1x_2 \cdot\: \cdot \:\cdot x_n}[/tex] where [tex]n[/tex] is the number of values and [tex]x_i[/tex] are the values to average. Thus, your geometric mean is [tex]\sqrt{27*8}=\sqrt{216}=6\sqrt{6}\approx14.697[/tex]

[tex]\textit{circumference of a semi-circle}\\\\ C=\pi r~~ \begin{cases} \stackrel{\textit{half diameter}}{r=radius}\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies C=\pi (8)\implies \stackrel{using~\pi =3.14}{C=25.12}[/tex]

Answer:

the correct answer for the rectangular prisim is 32

The surface are of the rectangular cuboid is 32.

1. Label the length (l), width (w), and height (h) of the prism

2. Use the formula, SA=2lw+2lh+2hw, to find the surface area.

Another option:

- Add the areas of all 6 faces

Answer:60 inches

Step-by-step explanation: 14+14+16+16=60

Step-by-step explanation:

First we solve it.

I'll use substitution.

In the first equation y equals -2x+2 so we can apply that to the second equation

2y + 4x = 4

2(-2x+2) + 4x = 4

distribute

-4x+4+4x=4

simplify

4=4

To figure out how many solutions it has:

•If both side of the equal sign are exactly the same: Infinitely many

ex: 6x=6x

•If both sides of the equal sign do not match when completely simplified: No solutions

ex: 3x=-5x

•If it creates an equation: 1 solution

ex: x=3+2y

Since both sides of the equal sign are 4, we have infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

where I don't see the diagram??

Answer:

Firstly multiply 39 times 39 which will give you 1071 and that is your answer.

There was scarcity of energy and water resources throughout the state of Arizona according to the data collected in 2010.

The major cause of the scarcity was extensive drought conditions that occurred to the Colorado River system that supplies 36%o f Arizona's total water use.

In conclusion, the government have been employing many policies to increase their water reservoir level.

Read more about water drought

brainly.com/question/12686086

Answer: Water

Step-by-step explanation:

Step-by-step explanation:

Ok, so first...

a) if x is positive, it will remain x, so *x<7*

b) if x+3 is positive, it will be x+3<9 but you have to simplify it so you subtract 3 on both sides and get *x<6*

c) if y-8 is positive, it will stay like that, and you then add 8 on both sides to get *y>19*

g) if 3x-1 is positive, it will be 3x-1 greater than or equal to 18. add 1 on both sides and *3x > or = to 18*

4y+3 < or = 13. subtract 3 on both sides and you get *4y < or = 13*

One more thing:

Less than or equal to is a '<' with a line underneath.

Greater than or equal to is a '>' with a line underneath.

Answer:

I think D though I'm not sure

Step-by-step explanation:

Answer:

Area (figure) = 134 cm²

Step-by-step explanation:

Answer:

3m+4n

Step-by-step explanation:

5m-2m=3m 3n+n=4n so 3m+4n

Answer:

Answer:

count 1035 28 times i guess.

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

The sum of the three interior angles of a triangle is always 180°.

4x + 2x + 30 = 180

6x + 30 = 180

6x = 150

x = 25

Answer:

sum of the interior angles of a triangle =180

2× + 4× + 30=180

6× + 30= 180

6× + 30 = 180

6× = 180-30

6× =150

6×/6=150/6

×= 25

Answer:

7.35 is 49% of 15.

Step-by-step explanation:

Answer:

7.35%

Step-by-step explanation:

Step-by-step explanation:

it is the vertical of 5 and 6 aww you can do that

Answer:

Triangle =  1 1/2

Square = 10

Step-by-step explanation:

Given:

Triangle + Triangle + Square + Square = 23

Square - Triangle = 4 1/2

10 + 10 + 1 1/2 + 1 1/2 = 23

Hence, Square = 10 and Triangle = 1 1/2

~Lenvy~

Answer:

D

Step-by-step explanation:

Answer:

the answer is d

hope it helps !!

Answer:

65 meters below sea level

Step-by-step explanation:

so we can do one of 2 things, either 37-12+40, or -30+12-40, either way will give you the 65, just one will be a negative. obviously the submarine is going down, so if you do the positive way, just remember that it is negative.  

Answer: Tetsurō Kuroo here!

Step-by-step explanation:

Yes that is true.

Answer:

11+n

Step-by-step explanation:

eleven increased by a number

11+n

hope it helps

Step-by-step explanation:

Train 1 speed be 'u'

Train 2 speed be 'v'

And v=2u

Speed=distance/time

Trains going in opposite directions

Relative speed= v-u (as train 1 I slower than train 2)

v-u=600/4

2u-u=150

u=150miles/hour

v=300miles/hour

AnswerA &D

Step-by-step explanation:A

D