if a paper airplane traveled 20 feet per second how many inches per second did it travel ?

Answer:

D. (13 + 18t)

Step-by-step explanation:

(4-t)(2+5t) =

13 + 18t

Best answer is the last one.

Given:

The polynomials [tex]ax^3+4x^2+3x-5[/tex] and [tex]x^3-3x^2-5x+a[/tex] leave the same remainder when divided by (x-3) and (x+2) respectively.

To find:

The value of a.

Solution:

Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is equal to p(c).

The polynomials [tex]f(x)=ax^3+4x^2+3x-5[/tex] is divided by (x-3). So, the remainder is f(3).

[tex]f(3)=a(3)^3+4(3)^2+3(3)-5[/tex]

[tex]f(3)=27a+36+9-5[/tex]

[tex]f(3)=27a+40[/tex]

The polynomial [tex]g(x)=x^3-3x^2-5x+a[/tex] is divided by (x+2). So, the remainder is g(-2).

[tex]g(-2)=(-2)^3-3(-2)^2-5(-2)+a[/tex]

[tex]g(-2)=-8-12+10+a[/tex]

[tex]g(-2)=-10+a[/tex]

It is given that the remainders are same. So,

[tex]f(3)=g(-2)[/tex]

[tex]27a+40=-10+a[/tex]

[tex]27a-a=-10-40[/tex]

[tex]26a=-50[/tex]

Divide both sides by 26.

[tex]a=\dfrac{-50}{26}[/tex]

[tex]a=\dfrac{-25}{13}[/tex]

Therefore, the value of a is [tex]\dfrac{-25}{13}[/tex].

Answer: b) pi = C/2r

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is B, it is B, it Is B, it is B

Answer:

1x3=3

0.4x3=1.2

0.5x1=0.5

0.4x0.5=0.2

Step-by-step explanation:

_____________

3          !      0.5

______________

1.2        !        0.2

______________

Answer:

16

Step-by-step explanation:

let the ratio be 3x and 2x

3x=24

x=8

then we have the value of x

2x

2×8

16

Answer:

18

Step-by-step explanation:

3/4 of 24 is 18

Answer:

B

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) = [tex]3x^{2} +4x-6+6x^3-5x^{2} -2[/tex] = [tex]6x^{3}-2x^{2} +4x-8[/tex]

Answer:

O v2.2.5

Step-by-step explanation:   im not positive so dont

rely on me

Answer:

42.5

Step-by-step explanation:

Answer:

slope = [tex]\frac{-1}{5}[/tex]

Step-by-step explanation:

Find the slope of the line using the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. The formula requires two points from the line - and looking at the graph, (1, 10) and (6, 9) are two points the line passes through (but any other points the line also passes through would work fine, too). So, substitute the points' x and y values into the formula and solve:

[tex]\frac{(9)-(10)}{(6)-(1)} \\= \frac{-1}{5}\\[/tex]

Therefore, [tex]-\frac{1}{5}[/tex] is the slope.

Answer:

Step-by-step explanation:

To factorize ,

6a+10ab

=2a(3+5b)    [ common 2a from both the terms]

Answer:

x > 120

Step-by-step explanation:

Answer:

we conclude that:

[tex]\frac{x}{24}>5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>120\:\\ \:\mathrm{Interval\:Notation:}&\:\left(120,\:\infty \:\right)\end{bmatrix}[/tex]

The solution graph is also attached.

Step-by-step explanation:

Given

The inequality is given by

[tex]\frac{x}{24}>5[/tex]

To determine

Solve for x

Given the inequality

[tex]\frac{x}{24}>5[/tex]

Multiply both sides by 24

[tex]\frac{24x}{24}>5\cdot \:24[/tex]

Simplify

[tex]x>120[/tex]

Therefore, we conclude that:

[tex]\frac{x}{24}>5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>120\:\\ \:\mathrm{Interval\:Notation:}&\:\left(120,\:\infty \:\right)\end{bmatrix}[/tex]

The solution graph is also attached.

Answer:

10/15 ten over 15 like a fraction you need to simplify that to 2/3 two over threep explanation:

Answer:

11x-9

Step-by-step explanation:

5+2(5x-7)+x=5+10x-14+x

                   = 11x-9

Answer:

-9+11x

Step-by-step explanation:

5+2(5x-7)+x

multiply (5x-7) by 2

5+ 10x-14+x

add like terms

-9+11x

Answer:

d) n^2 + n

Step-by-step explanation:

so n consists of two blocks. in stage two, n doubles into four blocks and there are two other blocks as well. n doubling indicates that n is squared, and because n consists of two blocks, n is just added to stage two, so stage two consists of six blocks. (i hope this makes sense..)

Answer:

100

Step-by-step explanation:

There are 100 cents in one dollar

Answer:

100 cents

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-the original price

y- the discounted price

y= the original price - 25 % discounted from x  = x- (.25*x) = x( 1-.25) = .75x

equation is y= .75x

The equation should only be in the first quadrant because the prices can only be positive numbers.

Answer:

variable =A (x)

Constant= C (5)

operation=B (+)

Answer:

A C B

Step-by-step explanation:

Answer:

x= -2 y= 6

x= 0 y= 0

x= 2 y= 10

B. Orange

Step-by-step explanation:

2(-2×-2)+-2=6

2(0×0)+0=0

2(2×2)+2=10

Answer:

45°

Step-by-step explanation:

90÷2 = 45

Answer:

Step-by-step explanation:

If 7.5 % has green eyes, then 92.5% (the complement given by 100%-7.5%)  dont have green eyes. 92.5% of 120 is given by

0.925*(120)=111

111 students in the grade dont have green eyes.  

Answer:

14/3

Step-by-step explanation:

[tex]\frac{11*10*9*8*7*6*5*4*3*2*8*7*6*5*4*3*2}{12*11*10*9*8*7*6*5*4*3*2*6*5*4*3*2}[/tex]

You have this huge fraction and basically what you do is you cancel out all the numbers that are on the top and the bottom so it would be:

[tex]\frac{7*8}{12}[/tex]

Now, you can just simplify this: 56/12 = 14/3

Answer:

A

Step-by-step explanation:

i got (4,4) so it may be A hope it help.

Answer:

The answer is 40. The answer to the question provided is letter b.

-

Step-by-step explanation:

☆Solve using the pythagorean theorem.

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {30}^{2} = {50}^{2} \\ {x}^{2} + 900 = 2500 \\ \frac{ \: \: \: \: \: \: \: - 900 = - 900}{ {x}^{2} = \sqrt{1600} } \\ x = 40[/tex]