Please help me!
(But give in detail of how you got the answer)
Solve for s. 2/3s + 5/6s = 21
Enter the answer, as a whole number or as a fraction in simplest form, in the box.

s =

9514 1404 393

Answer:

  (x -1/4)(x -1)(x +1)

Step-by-step explanation:

Pairs of coefficients have the same ratio, so it is likely that you can factor this by grouping pairs of terms.

  x³ -x -1/4x² +1/4 = (x³ -x) -(1/4x² -1/4) . . . . . . note the signs

  = x(x² -1) -1/4(x² -1)

  = (x -1/4)(x² -1)

The difference of squares (x² -1) is a special form that has factors (x -1)(x +1)

Your factoring is ...

  (x -1/4)(x -1)(x +1)

_____

Additional comment

The difference of squares factors like this:

  a² -b² = (a -b)(a +b)

Answer:

A

Step-by-step explanation:

The statement that If p → q and q are true, then p is true which is the correct answer would be an option (A).

A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).

Let us consider the example to understand the parts of a conditional statement.

Conditional Statement: If today is Friday, then yesterday was Thursday.

Hypothesis: "If today is Friday."

In the given problem,

Conditional Statement: If p → q and q are true, then p is true,

Hypothesis: "If p → q and q are true"

Hence, the statement that If p → q and q are true, then p is true which is the correct answer would be option (A)

Learn more about the conditional statement here:

brainly.com/question/7066208

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9514 1404 393

Answer:

  No

Step-by-step explanation:

A horizontal line can be drawn that intersects the graph in more than one place. That means the graph fails the "horizontal line test" and does not have an inverse function.

(The horizontal line shown intersects in 3 places.)

Answer:

Find 9% of 250 by turning 9% into a decimal.

.09 x 250 gives you 22.50

add 22.50 to 250

now you have 272.50

now find 10% of 272.50 by converting 10% into a decimal.

.10 x 272.50 gives you 27.25

Add that to 272.50 and you total cost is

$299.75

Answer:

Mercury > Mars

Step-by-step explanation:

Mercury orbits closer to the sun than Mars, so it has a higher surface temperature.

The given curve has equation

r(θ) = 9 + 8 cos(θ)

and its derivative is

dr/dθ = -8 sin(θ)

When θ = π/3, we have r (π/3) = 13, and dr/dθ (π/3) = -4√3.

Differentiate these with respect to θ :

dy/dθ = dr/dθ sin(θ) + r(θ) cos(θ)

dx/dθ = dr/dθ cos(θ) - r(θ) sin(θ)

In polar coordinates, we have

y(θ) = r(θ) sin(θ)

x(θ) = r(θ) cos(θ)

and when θ = π/3, we have y (π/3) = 13√3/2 and x (π/3) = 13/2.

The slope of the tangent line to the curve is dy/dx. By the chain rule,

dy/dx = dy/dθ • dθ/dx = (dy/dθ) / (dx/dθ)

dy/dx = (dr/dθ sin(θ) + r(θ) cos(θ)) / (dr/dθ cos(θ) - r(θ) sin(θ))

When θ = π/3, the slope is

dy/dx = (-4√3 sin(π/3) + 13 cos(π/3)) / (-4√3 cos(π/3) - 13 sin(π/3))

dy/dx = (-4√3 (√3/2) + 13 (1/2)) / (-4√3 (1/2) - 13 (√3/2))

dy/dx = - 1/(17√3)

So, the tangent line has slope -1/(17√3) and passes through (13/2, 13√3/2). Using the point-slope formula, its equation is

y - 13√3/2 = -1/(17√3) (x - 13/2)

y = -(x - 338)/(17√3)

we set y for 0 and get x = -5

this is your x-intercept

we set x for 0 and get 5y = -5

y = -1

(-5,0)

(0,-1)

hope this helped :)

Answer:4) 1.  (3^4)^3=3^12    ,

                  2.(-10^3)^6=-10^18  others are similar...

              5) 1.  (2^7/2^5)=2^2,4  ,

                  2.(a^7/a^3)=a^4   ,

                  7.  [(-4)^3 x (-4)^5)]/[ (-4)^2 x(-4)^3]=4^3   others are similar...

Step-by-step explanation: 4)1. step1. 3^(4x3) ,  2. step1. -10^(3x6)

                                                    step2. 3^12      ,     step2. -10^18

                                              5)1. step1. 2^(7-5)  ,  2. step1. a^(7-3)

                                                     step2. 2^(2)     ,      step2. a^(4)

                                                 7. step1. -4^(3+5)/-4^(2+3)

                                                     step2. -4^(8)/-4^(5)

                                                     step3. 4^(8-5)

                                                     step4. 4^(3)

Answer:

-292 1/2

Step-by-step explanation:

PEMDAS

Perenthesis

2 To the power of 4 = 16 + 1/4 = 16/1 + 1/4 X -18

-2pi, -4.5, -3 5/6 , -8/3 , square root of 16

negative numbers are weird and go down greast to least and the square root of 16 is simply 4

Answer:

The total price after tax is $48.99

Step-by-step explanation:

Answer:

you have to put the 45.79/ 7% That's the taxes and you have to check your work first if you get something else different than a higher number you divide it again in long division and then if that doesn't work try to multiply in decimals

Answer:

D

Step-by-step explanation:

It's between C and D.

3x^2 - 7x^2 = - 4x^2

- 4x^2 + 5x - 28 is the answer so it is D.

Answer:

[tex] \frac{9}{10} - \frac{7}{20} \\ \frac{9 \times 2}{10 \times 2} - \frac{7}{20} \\ \frac{18}{20} - \frac{7}{20} \\ \frac{18 - 7}{20} \\ \frac{11}{20} \\ 0.55[/tex]

Step-by-step explanation:

rabeeca has 0.55 ribbon left.

Answer:

11/20

Step-by-step explanation:

first you need to multiple 9/10 by 2/2 to get 18/20 and then 7/20 multipled by 1/1 and for the last step do 18-7 to get 11 so therefore the answer is 11/20

Answer: 21 miles

Step-by-step explanation:

Answer:

32°

Step-by-step explanation:

1) the sum of the angles is 180°. According to this rule the sum can be written:

t+(t+1)+[180-(t+33)]=180;

2) if to solve this equation, then

t=32°

Answer:

left side 7 right side 9

Step-by-step explanation:

it wont just let me tell you the answer

Answer:

parallel

Step-by-step explanation:

AB

m= 19-(-9)/8-(-6)

m=28/14

m=2

CD

m=0-(-4)/2-0

m=4/2

m=2

parallel:m1=m2

perpendicular:m1m2= -1

The length of side ST of the triangle SRT using concept of similar triangles is; ST = 22 km

We are given a Triangle PQR.

In Triangle PQR, Side PQ = 16 kilometers and side PR = 24 kilometers.

In Triangle SRT, Side RT = 33 kilometers.

Using concept of ratio of similar triangles, we can say that;

ST/RT = PQ/PR

Thus;

ST = RT * (PQ/PR)

ST = 33 * (16/24)

ST = 22 Km

Read more about similar Triangles at; https://brainly.com/question/14285697

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Step-by-step explanation:

a majority starts at half of the total mass + 1.

so,

2,500,000 / 2 = 1,250,000

and + 1 means then the majority would be

1,250,001 shares.

Answer:

I'm pretty positive it's C but I may be wrong, sorry if I am.

Step-by-step explanation:

Answer:

Suppose NOL -> QRM is a reflection across the x-axis. If O(-3, 8) what is the y coordinate of R?

Step-by-step explanation:

Answer:

How do I help? This scenario makes no sense

Answer:

54% of 114 is 61.56

Step-by-step explanation:

Answer:

that would be 1404/25 or 56.16

Step-by-step explanation:

I solved it on paper

Answer:

Y=-3/1x+7

Step-by-step explanation:

-3/1 is the slope, which is negative, and 7 is the y intercept ( the value that is marked at the middle of the y-axis).

9514 1404 393

Answer:

  the average speed is 50 10/13 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  distance = speed × time

The distance traveled in the first part of the car's journey is ...

  (45 mi/h)(2/3 h) = 30 mi

The distance traveled in the second part of the car's journey is ...

  (60 mi/h)(25/60 h) = 25 mi

Then the total distance is 30 mi +25 mi = 55 mi.

The total time is ...

  40 min +25 min = 65 min = 65/60 h = 13/12 h

The average speed for the trip is ...

  speed = distance/time = (55 mi)/(13/12 h) = 660/13 mi/h = 50 10/13 mi/h

The average speed of the journey is 50 10/13 mi/h, just over 50 mi/h.

Answer:

Step-by-step explanation:

441 km in 45s does

215 km in 25s doesnt

649 km in 110s doesnt