6. A group of students was given the following to simplify: 3x+7. Brian believes that this expression simplifies to 10x because you add the 3 and 7 together and bring the x. Lindanes believes that this expression simplifies to 10 because you add the 3 and 7 and drop the x. Marcos believes that this expression simplifies to 3x+7 because you cannot combine the two terms. Jasmine believes that this expression simplifies to 21x because you multiply 3 and 7 and bring the x. Which student is correct?

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:

x = 4f/nz

Step-by-step explanation:

nxz - f = 3f  solve for x

    nxz =  3f+f

Factor of nxz is x(nz)

  x(nz) = 3f+f

  x(nz) = 4f

MUltiply both side with 1/nz and you get

 x =  4f/nz

Answer:

the first one is 48 pounds the second one is 53.333 and the final one is 30.8

Step-by-step explanation:

Answer:

2.4  X  12=28.8 thats the first one

Step-by-step explanation:

Answer:

y = 1/3x+1

Step-by-step explanation:

Use the intercepts to find the slope

(-3,0) and (0,1)

(1-0) / (0-(-3)) = 1 / 3

Plug it into the equation

y= 1/3x + 1

Answer:

<EFG=66

<GFH=86

Step-by-step explanation:

sol

here

<EFG=2n+16

<GFH=4n+14

we know that,

<GFH+<EFG=180°[linear pair]

or,2n+16+4n+14=180°

or,6n+30=180

or,6n=180-30

or,n=150÷6

n=25

now,

<EFG=2n+16

=2×25+16

=66

Again,

<GFH=4n+14

=4×25+14

=86

Answer:

Depends; it is a function of y because each y value maps out to only 1 x value, but it is not a function of x, because for x = 3 y maps out to infinite values.

Answer:

Corresponding angles are congruent, corresponding sides are porportional, and the triangles are similar.

Step-by-step explanation:

Since angles on a triangle add up to 180 degrees, we can figure out that both triangles' angles are 55, 35, and 90. That means the triangles are similar, corresponding sides are porportional, and also means the corresponding angles are congruent. The 4th one cannot be guaranteed, as the triangles could be of different sizes.

Answer:

The burger is $5 each.

Step-by-step explanation:

8x = 40

x = 5

Answer:

the unit price would be $5

Step-by-step explanation:

40÷8=5

5×8=40

Answer:

6x^2 + 10x + 4 units of measurement

Step-by-step explanation:

The area of a square is L*W.

(2x+2)*(3x+2) = (6x^2) + (4x) + (6x) + (4)

                      = 6x^2 + 10x + 4

Answer:

0.28

Step-by-step explanation:

Pizza is 30%, curry is 42%, so pasta has to be 28%.

Answer:

200 miles per minutes

Step-by-step explanation:

Answer: 200 meters

Step-by-step explanation: Divide 1,000 by 5. You should have a result of 200 meters.

Answer:

I would say (E) You welcome for meh so called help

Answer:

p = 11

Step-by-step explanation:

Answer:

828.6667

Step-by-step explanation:

Answer:

Step-by-step explanation: 320

Answer:

See below.

Step-by-step explanation:

g(x) and f(4) refer to different functions.

Since we are not given f(x) is, we cannot answer the question.

Answer:

20 feet

Step-by-step explanation:

We can use scale factors to represent the lengths. Since the flagpole's base is 4 times the tree's height, we can also say that the flagpole's height is 4 times the tree's height. Since the tree's height is 5 feet, the flagpole's height is 4 x 5, which is 20.

Answer:

7/12

Step-by-step explanation:

Answer:

1/3 and 1/4 are already in their simpliest form.

75m/60=1.25

1.25=1 1/4 hours

So the answer Is 1 1/4 hours.

hope this helps

Answer: $18

Step-by-step explanation:We just need to subtract $24.95 - $6.95 and we get the answer!

Answer:what’s the answer plz

Step-by-step explanation:

Answer:

2.45x10^3

3.13x10^1

4.987

1.157x10^-4

Step-by-step explanation:

I have assumed that 1.1.57 = 1.157 and the same with the second and third numbers.

3.13 * 10^1 = 31.3

1.157 * 10^-4 = 0.0001157

2.45 * 10^3 = 2450.

Answer:

a. 8m

b. 7cm

Step-by-step explanation:

a. Area of a square is s², where s is the side length.

To find s:

s² = 64

s = √64

s = ±8

length cannot be negative, hence it is positive 8

b. Perimeter of a square is 4s = P, where P is the perimeter and s is the side length.

4s = 28

s = 7

Answer:

y=3

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

Jose will $360 in interest in three years.

Simple interest is based on the principal amount of a loan or the first deposit in a savings account.

Now it is given that,

Principle amount, P = $1500

Rate of interest, R = 8% = 0.08

Time, T = 3 years

Now, since the simple interest paid in T years  is given as,

S.I = PRT/100

S.I = 1500*8*3/100

S.I =36000/100

S.I = 360

Simple interest paid in 3 years is $360.

Hence,Jose will $360 in interest in three years.

To Learn more about  simple interest:

brainly.com/question/25296782

#SPJ6

Answer:

you will get no solutions

Answer:

No Solution

Step-by-step explanation:

Answer:

x should be positive

Step-by-step explanation:

Answer: x= 54

Step-by-step explanation:mathhhhh