Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.

the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.

Hope thishelps!

Answer: Its A

Step-by-step explanation:

Answer:

The values which are added to the table are;

Sea turtles = 1, Jellyfish  = 3

Sea turtles = 4, Jellyfish  = 12

Jellyfish = 24, Sea turtles= 8

Sea turtles = 14, Jellyfish  = 42

Jellyfish = 60, Sea turtles= 20

Step-by-step explanation:

The given parameters are;

The ratio of sea turtles to jellyfish = 4:12

Therefore, the ratio of sea turtles to jellyfish = 1:3

Which gives;

When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes

When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes

When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles

When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes

When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles

The values given in the table can be presented as follows;

Number of Sea Turtles    [tex]{}[/tex]                                          Number of Jellyfish

1                                             [tex]{}[/tex]                                           3

4    [tex]{}[/tex]                                                                                   12

8                                             [tex]{}[/tex]                                          24

14                                              [tex]{}[/tex]                                        42

20                                            [tex]{}[/tex]                                         60

Answer:

c

Step-by-step explanation:

its the only answer that makes sense

Answer:

C

Step-by-step explanation:

it makes complete 100% sense

Answer:

44%

Step-by-step explanation:

Answer:

The right answer is domain: (-∞, ∞); range: [-1, 1] ⇒ D

Step-by-step explanation:

In any function,

Domain is the values of x

Range is the values of y corresponding to x

In the function y = sin(x),

∵ The graph ends with arrows

→ That means there is many cycle not 1 cycle

∴ x ∈ R

→ That means x can be any value from -∞ to ∞

∵ x is the domain of the function

∵ R is the set of real numbers

∴ Domain = {x : x ∈ R} = (-∞, ∞)

∵ sin([tex]\frac{\pi}{2}[/tex]) = 1

∵ The greatest value of y is 1 at x = [tex]\frac{\pi}{2}[/tex]

∵ sin([tex]\frac{3\pi}{2}[/tex]) = -1

∵ The smallest value of y is -1 at x = [tex]\frac{3\pi}{2}[/tex]

∴ -1 ≤ y ≤ 1

∵ y is the range of the function

∴ Range = {y : -1 ≤ y ≤ 1} = [-1, 1]

∴ The right answer is domain: (-∞, ∞); range: [-1, 1]

Answer:

D: domain: (–ꝏ, ꝏ); range: [–1, 1]

Step-by-step explanation:

Hope this helps whoever needs more clarification.

Answer:the answers are: 0,1 and 2,7 and 4, 14

Step-by-step explanation:

Switch them if not in the right order, one of them is 2,7 because one of the dots are in between 6 and 8

Answer:

10 units

Step-by-step explanation:

Distance from P(6, -9) to O ( 0, 0 ) PO

Let

X1 = 6          X2 = 0

Y1 = -9         Y2 = 0

Formula of Distance

[tex]\sqrt{(x2 - x 1) + (y2 - y1)}[/tex]

[tex]\sqrt{6^{2} +(-9^{2}) }[/tex]

[tex]\sqrt{100}[/tex]

10 units

Answer: I think beetlejuice post the answer here look up jewtube

Answer:

D

Step-by-step explanation:

The first step is to subtract 29.25 from 17.50

You get 11.75

Then divide 11.75 to 2.35

You get 5.

The reason you do these steps is because,

since you paid 17.50 for the pizza the rest is toppings so...

so you subtract from the total to see how much the toppings were worth in total...

you divide 2.35 from that to show how many toppings there would be

Answer:

D. 5

Step-by-step explanation:

Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.

You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.

Comment if you need more help :)

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it

Answer:

Its going to cost him 22.167

Step-by-step explanation:

Divide $9.50 by 3 = 3.167

multiply it by 7= 22.167

Answer:

6.58

Step-by-step explanation:

divide 1.88 by 2 to get .94 because he gets her drinks half off. Next, multiply by 7 because there are seven days in a week. she will spend 6.58 a week on drinks.

Answer:

1.88/2  0.94x7 for one week Kelly will pay $6.58 for a sonic drink

the answer is B

Step-by-step explanation:

1.88/2= 0.94

0.94x7=6.58

for one week Kelly will pay $6.58 for a sonic drink

hope this helps:) have a good day :)

Answer:

Step-by-step explanation:

Answer:

27000

Step-by-step explanation:

(2 * 10^4) + ( 7 * 10^3)

rewrite in standard form

20000 + 7000

solve

= 27000

Answer:

rotation

Step-by-step explanation:

hope this helps

Answer:

Rotation (✿◠‿◠)

Answer:

The graph of y = x^3 has been translated 3 units to the right and 4 units upward

Thanks and have a great day!

Complete question :

Continent _________building _height(m)

________Carlton center office tower _ 223m

_________ burj Khalifa ____________828m

_________ QI ________________323

_________ the shard _________310

_________ Willis tower _______442

_________ grand torre ______300

Answer:

Kindly check explanation

Step-by-step explanation:

1 meter is approximately 3.28 feets

Height of the buildings in feets is obtained by multiplying the height in meters by 3.28

Carlton center office tower = (223 * 3.28) = 731.44 feets

Burj Khalifa = (828 * 3.28) = 2715.84 feets

QI = (323 * 3.28) = 1059.44 feets

The Shard = (310 * 3.28) = 1016.8 feets

Willis tower = (442 * 3.28) = 1449.76 feets

Grand Torre = (300 * 3.28) = 984 feets

Answer: A) The line moves up

The b determines the y intercept

For example, y = 2x+5 has a y intercept of 5

Another example, y = 2x+6 has y intercept 6

The value of b has gone up by 1, so the graph shifts up by 1.

See the diagram below.

The slope stays the same, so both lines are parallel.

Answer:

[tex]\fbox{y = -3x + 5}[/tex]

Step-by-step explanation:

You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];

Plugging these values into slope-intercept form gives:

We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.

The point that the line passes through is the y-intercept: [tex](0,5)[/tex].

Point-slope form:

where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]

Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.

Simplify the equation on both sides.

Add 5 to both sides of the equation.

This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.

The answer is [tex]D) \ $y = -3x+5[/tex].

Answer:

Step-by-step explanation:

This questions bothers permutation since permutation talks about arrangement.

The number of ways n objects can be arranged is n! ways

n! = n(n-1)(n-2)!

If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;

5! = 5*4*3*2*1

5! = 20*6

5! = 120 different arrangements

Answer:

1) The engine torque is approximately 134.33 N·m

2) The speed of the engine  is approximately 4,469.15 revolutions per minute

Step-by-step explanation:

1) The drag coefficient, [tex]c_d[/tex], is given by the formula;

[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]

Where;

[tex]c_d[/tex] = 0.28

[tex]F_d[/tex] = The drag force

ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³

u = The object's flow speed = 130 mi/h = 58.1152 m/s

A = The frontal area = 19.8 ft² = 1.83948 m²

[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]

∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N

We have;

[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]

Where;

[tex]M_e[/tex] = The engine torque

ε₀ = The overall gear reduction ratio = 2.5

[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88

r = The wheel radius = 12.6 inches = 0.32004 meters

[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]

[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]

The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m

The engine torque ≈ 134.33 N·m

2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;

[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]

Where;

v = The vehicle's speed = 130 mi/h = 58.1152 m/s

r = The wheel radius = 12.6 inches = 0.32004 meters

i = The drive axle slippage = 3% = 3/100 = 0.03

ε₀ = The overall gear reduction ratio = 2.5

[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]

The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute

The speed of the engine  ≈ 4,469.15 revolutions per minute.

Answer:

The area of the triangle is 12 unit²

Step-by-step explanation:

The vertices of the triangle are;

a(2, 5), b(5, 9), and c(8, 5)

The area of a triangle given coordinates can be given by the following determinant;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]

Therefore, we have;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]

Utilizing an online determinant calculator, we have;

[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]

Therefore, the area of the triangle is 12 unit².

Answer:

Step-by-step explanation:

Given that the expected profit upon deduction of booth rent and material cost is at least $300

Given

let the number of necklaces be x

booth rent= $200

The cost of materials for the necklaces = $4.5x

the selling price for all the necklaces =$20x

total expenses= booth rent+cost of material = 200+4.5x

profit = selling price -total expenses

20x-300>200+4.5x+

B. the possible solution is the value of x i.e the number of necklaces to

be sold to make a profit of $300

20x-300>200+4.5x

20x-4.5x=200+300

15.5x=500

x=500/15.5

x=32.25

The Jewelry artist must have to sell a total of approximately 32.25 necklaces

Answer:

-21

Step-by-step explanation go up in negitive #s  just stay in negitive  

-14,-15,-16,-17,-18,-19,-20,-21!

Answer:

y=3.54m

Step-by-step explanation:

i already answered it

Answer:

5(x + 3) = 3x - 4

=> (5 * x ) + (5 * 3) = 3x - 4

=> 5x + 15 = 3x - 4

=> 5x = 3x - 4 - 15

=> 5x - 3x = -4 - 15

=> 2x = -19

=> x = -19/2

=> x = -9.5

If my answer helped, kindly mark me as the brainliest!

Thank You!!

Answer:

Yes, because the beginning number has to be between 1 and 10. If there is a 10 in the ones place, move the decimal to the left and increase the power.

Answer:

i got this on edg its b

Step-by-step explanation: