Darpana solved the equation s = StartFraction a + b + c Over 3 EndFraction for a. Her steps are shown below: 1. Multiply by 3: s = StartFraction a + b + c Over 3 EndFraction. 3 s = a + b + c. 2. Subtract b: 3 s minus b = a + b + c minus b. 3 s minus b = a + c. 3. Divide by c: StartFraction 3 s minus b Over c EndFraction = a. Which statement about Darpana's work is true? In step 1 she needed to divide by 3 rather than multiply. In step 2 she needed to add b rather than subtract. In step 3 she needed to subtract c rather than divide. Darpana solved the equation correctly.

Given:

The distance s​ (in feet) of the ball from the ground after t seconds is

[tex]s=64t-16t^2[/tex]

To find:

(a) At what time t will the ball strike the​ ground?

(b) For what time t is the ball more than 48 feet above the​ ground?

Solution:

(a)

We have,

[tex]s=64t-16t^2[/tex]

Substitute s=0, to find the time t when the ball strike the​ ground.

[tex]0=64t-16t^2[/tex]

[tex]0=16t(4-t)[/tex]

Using zero product property, we get

[tex]16t=0\Rightarrow t=0[/tex]

[tex]4-t=0\Rightarrow t=4[/tex]

Therefore, the ball strike the​ ground in initial condition (t = 0) and after 4 seconds (t = 4).

(b)

Now, s > 48, to find the time t when the ball will be more than 48 feet above the​ ground.

[tex]64t-16t^2\geq 48[/tex]

[tex]0> 16t^2-64t+48[/tex]

Divide both sides by 16.

[tex]0> t^2-4t+3[/tex]

[tex]0> t^2-t-3t+3[/tex]

[tex]0> t(t-1)-3(t-1)[/tex]

[tex]0>(t-1)(t-3)[/tex]

Related equation is [tex](t-1)(t-3)=0[/tex]. Zeroes are t=1,3. These two number divide the number line is three parts. (-∞,1),(1,3),(3,∞)

[tex]0>(t-1)(t-3)[/tex] inequality is true for only (1,3).

It is only possible when t lies in the interval (1,3).

Therefore, the ball will be more than 48 feet above the​ ground between 1 and 3 seconds.

Answer:

f(x)+41 f(-10)=7

Step-by-step explanation:

Answer:

7/6 or 1.17

Step-by-step explanation:

i made them have a common denominator of 24 and simplified.

hope this is right and helps! :)

Answer:

1805 feet

Step-by-step explanation:

1803-(-2)

1805

Answer:

0.21 and 0.22

Step-by-step explanation:

Answer:

Step-by-step explanation:

180-120=60

4*18-12=60

x=60

Answer :Understand the how and why See how to tackle your equations and why to use a particular method to solve it — making it easier for you to learn.; Learn from detailed step-by-step explanations Get walked through each step of the solution to know exactly what path gets you to the right answer.; Dig deeper into specific steps Our solver does what a calculator won’t: breaking down key steps

Step-by-step explanation: im usually really good at math but i got confused in this ps im a junior  

Answer:

[tex]\huge\boxed{7.79 \ \text{feet}}[/tex]

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that [tex]a^2+b^2=c^2[/tex], where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

[tex]a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79[/tex]

Hope this helped!

Answer:

you didn't screenshot/take the photo fully...

we can't see it.

Step-by-step explanation:

Answer:

There are no solutions.

Step-by-step explanation:

6−4n<−1−4n

Step 1: Simplify both sides of the inequality.

−4n+6<−4n−1

Step 2: Add 4n to both sides.

−4n+6+4n<−4n−1+4n

6<−1

Step 3: Subtract 6 from both sides.

6−6<−1−6

0<−7

Answer:

b j=2e +8

Step-by-step explanation:

Josephine (j) has (=) twice the number 2 of (multiply) of Edith (e) plus 8 (more)

Answer:

7

Step-by-step explanation:

Answer:

7 dollars per pound

Explanation:

divide 42 by 6 and your answer is 7 dollars per pound

Answer:

S = { }

Step-by-step explanation:

The set S has no members

Answer:

17

Step-by-step explanation:

68/4=17

68 is the total perimeter, to get the length of each side is divide by 4, because it's a square, it has 4 sides.

Hope this helps!

Answer:

68 is the length of each side

Answer:

34 hours

Step-by-step explanation:

dora has saved $35

A total of $358

$358 - $35 =$323

she need $323 more to save up to $358

she earns $9.50 per hour

$9.50 = 1hr

$323 = x hrs

x = $323 ÷ $9.50

x = 34hours...

Answer:

The remainder is -61

Step-by-step explanation:

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

The given polynomial is:

[tex]f(x) = 4x^3 - 6x^2 + 3x + 1[/tex]

We need to find the remainder when f(x) is divided by x+2. According to the above-mentioned theorem, we only need to find f(-2) as follows:

[tex]f(-2) = 4(-2)^3 - 6(-2)^2 + 3(-2) + 1[/tex]

[tex]f(-2) = 4(-8) - 6(4) - 6 + 1[/tex]

[tex]f(-2) = -32 - 24 - 6 + 1=-61[/tex]

The remainder is -61

answer: 2x - y = 2

Explanation:

Answer:

gfdhzhjdzg

Step-by-step explanation:

fjrfyijyfj

as long as your numerator is greater than your denominator, it's improper

Answer:

A

Step-by-step explanation:

Answer:

A. They are both 5 inches from the y-axis

Step-by-step explanation:

hope this helps :)

Answer:

-2

Step-by-step explanation:

(-12)+10=-2

Answer:

14

Step-by-step explanation:

sum of three angles of a triangle is 180

(x-4) + (11x-11) + (x+13) = 180

13x -2 = 180

13x = 182

x=14

Answer:

Step-by-step explanation:

-7c - 5

Answer:

I belive it is 99 but am not sure

Step-by-step explanation:

The cheetah runs 24 mph faster than the lion

Answer: 111 miles

Step-by-step explanation: I’m bad with explanations...

Answer:

24

Step-by-step explanation:

8 ÷ 1/3

8/1 ÷ 1/3

8/1 ⋅ 3/1

8 ⋅ 3 = 24

1 ⋅ 1 = 1

24/1 = 24

Answer:

g=-8

Step-by-step explanation:

Where is the graph I need to see the graph for the answer