What is the y intercept what does this mean in terms of the snake population

Answer:

Add and subtract the second term to the expression and factor by grouping .

(x-1)(x+1)(x-3)(x+2)

Answer:

(x-1)(x-3)(x+1)(x+2)

Step-by-step explanation:

x⁴-x³-7x²+x+6=

x⁴-x³-x²+x -6x²+6=

x³(x-1)-x(x-1)-6(x²-1)=

x³(x-1)-x(x-1)-6(x-1)(x+1)=

(x-1)(x³-x-6x-6)=

(x-1)(x³-3x²+3x²-9x+2x-6)=

(x-1)(x-3)(x²+3x+2)=

(x-1)(x-3)(x²+x+2x+2)=

(x-1)(x-3)(x+1)(x+2)

Answer:

Answers are below

Step-by-step explanation:

a) I graphed the scatter plot below

b) As the length of the boats increases, the capacity of the boats increase as well.

c) When the boat is 20 ft long, it has a capacity of 8 passengers. You can tell this because at 19 ft, there are 8 passengers and at 21 ft, there are 10 passengers.

d) When the boat is 29 ft long, it has a capacity of 16 passengers. You can tell this by continuing the graph to reach 29 ft in the length of boats.

Answer:

A. x > -3

Step-by-step explanation:

Well by looking at the graph we can tell that,

the line we can tell that the line goes to the right of of the number line,

Meaning x is greater than -3.

Thus,

x > -3.

Hope this helps :)

Answer:

3,000

Step-by-step explanation:

Loan = 20,000

Simple Interest per year = 5% of 20,000

=> [tex]\frac{5}{100}* 20,000[/tex]

=> 5 * 200

=> 1,000

Simple Interest for 3 years = 3 * 1000

=> 3,000

Answer:

3000

Step-by-step explanation:

SI = P × R × T

Use simple interest formula.

20000 × 5% × 3

1000 × 3

= 3000

Answer:

La expresión algebraica que representa la compra de los auriculares es [tex]c = 105.6\cdot n[/tex], existe una proporcionalidad directa.

Step-by-step explanation:

Existe un proporcionalidad directa, pues el coste total de importación aumenta conforme aumenta la cantidad de auriculares a importar. Esto es:

[tex]c \propto n[/tex]

[tex]c = k\cdot n[/tex]

Donde:

[tex]n[/tex] - Cantidad de auriculares a importar, adimensional.

[tex]c[/tex] - Coste total de importación, medido en pesos.

[tex]k[/tex] - Constante de proporcionalidad, medido en pesos.

La constante de proporcionalidad es igual al coste unitario del auricular más el impuesto de arancel, es decir:

[tex]k = 1.10\cdot (\$\,96)[/tex]

[tex]k = \$\,105.6[/tex]

Entonces, la expresión algebraica que representa la compra de los auriculares es:

[tex]c = 105.6\cdot n[/tex]

Answer:

(15)(0.75) and 0.7(15 – x) + 0.9x

Step-by-step explanation:

I did that assignment.

Answer:

its A

Step-by-step explanation:

Answer:

f(2)=g(0) and f(0)=g(4)

3rd option for the second pic

Answer:

The slope of line MN is two thirds,

The slope of line RS is negative three-halves

and line RS is perpendicular to both line MN and PQ

Step-by-step explanation:

For the first two, I found the slope using the slope formula, and I know the third one is correct because that is what it says in the very beginning.

Hope this helped, sorry if it is a little hard to understand, it was pretty hard to understand. :)

The following statements are true:

The formula for finding the slope of a line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Get the slope of MN:

For the line MN with coordinates M(-3, -1) and (3, 3).

[tex]m=\frac{3-(-1)}{3-(-3)}\\m=\frac{3+1}{3+3}\\m=\frac{4}{6}\\m_{mn}=\frac{2}{3}[/tex]

Get the slope of PQ;

For the line PQ with coordinates M(-3, -4) and (3, 0.5)

[tex]m=\frac{0.5-(-4)}{3-(-3)}\\m=\frac{0.5+4}{3+3}\\m=\frac{4.5}{6}\\m_{pq}=\frac{45}{60}\\m_{pq}=\frac{3}{4}[/tex]

Get the slope of RS

For the line RS with coordinates M(-2, 4) and (2, -2)

[tex]m=\frac{-2-4}{2-(-2)}\\m=\frac{-6}{2+2}\\m=\frac{-6}{4}\\m_{rs}=\frac{-3}{2}[/tex]

For two lines to perpendicular, hence;

M = -1/m

From the derives slopes, we can see that;

[tex]m_{rs} = \frac{-1}{m_{mn}}\\m_{rs}= \frac{-1}{\frac{2}{3} }\\m_{rs}=\frac{-3}{2}[/tex]

This shows that the lines MN and RS are perpendicular.

Based on the above calculations, the following statements are true:

Learn more here: https://brainly.com/question/23935638

Answer:

B

Just did it on A.P.E.X

The one-to-one function is f(x)={-5x-1; x<-2 {square root of 4(x+2) x is greater than or equal to -2. So, option B is correct.

Function is a type of relation, or rule, that maps one input to specific single output.

A function X → Y is said to be one to one (or injective function), if the images of distinct elements of X under f are distinct, for every x1 , x2 ∈ X,  f(x1 ) = f(x2 ) implies x1 = x2.

Otherwise, it is called many to one function.

Hence, the one-to-one function is f(x)={-5x-1; x<-2 {square root of 4(x+2) x is greater than or equal to -2.

So, option B is correct.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Answer:

Step-by-step explanation:

Step 1: Create a Survey

Step 2: Administer the Survey

Step 3: Collect responses.

Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.  

Step 5: Analysis

Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?

The step to analyze the collected data include plotting the data on an histogram

From the question, we understand that the data has already been gathered.

The next step is to analyze the collected data.

This can be done in several ways.

One of them is as follows:

Read more about data analysis at:

https://brainly.com/question/15380707

#SPJ2

Answer:

  (A)  At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.

Step-by-step explanation:

Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)

_____

Comment on orientation

If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.

Answer:

(A) the first diagram

Step-by-step explanation:

Answer:

2 solutions:

(-2.899, 0.899) and (6.899, -8.899)

Step-by-step explanation:

x+y=2

y=-x+2

y=1/4x²+3

Graph both equations into graphing calculator

Graph in attachment shows solutions

Answer:

31+34=65

hopefully petrified and useful and likewise please

Answer:

The number of black pieces needed to manufacture the ball is 11 black pieces

Step-by-step explanation:

Given that the number of pieces in the soccer ball = 32 pieces

The shape of the white piece = Hexagon

The shape of the black piece = Pentagon

Each black piece borders with only white pieces

Each white piece borders with three black pieces and three white pieces

For the first black pie  piece is borders to 5 white pieces total 6 pieces

Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece

Each black piece holds one white piece to add extra 5 pieces to make the total = 26

At the outermost shell of the arrangement, each of the white piece attached  to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,

The last piece is white

Total black piece = 1 + 5 + 5 = 11 black pieces.

Answer:

D) 2

Step-by-step explanation:

Use the following slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (4 , 1)

(x₂ , y₂) = (1 , -5)

Plug in the corresponding numbers to the corresponding variables:

m = (-5 - 1)/(1 - 4)

Simplify. Remember to follow PEMDAS. First subtract, then divide:

m = (-5 - 1)/(1 - 4)

m = (-6)/(-3)

m = 2

D) 2 is your answer.

~

Answer:

c≤

Step-by-step explanation:

hypotenuse=√(a²+b²)=√(5²+6²)=√(25+36)=√61

cosθ=5/√61=5/√61× (√61/√61)=5√61/61

Answer:

[tex]6 \sqrt{61} \div 61[/tex]

is ans

Step-by-step explanation:

given, a=5 and b=6

as the refrence angle is thit

p=6 and b= 5

[tex]now \: h \: = \sqrt{p {}^{2} + b {}^{2} } [/tex]

[tex] = \sqrt{6 { }^{2} + 5 {}^{2} } [/tex]

[tex] \sqrt{61} = [/tex]

therefore h

[tex] = \sqrt{61} [/tex]

now cos thita =b/h

therefore cos thita=

[tex]6 \sqrt{61} \div 61[/tex]

...is ans..

Answer:

6 lions

Step-by-step explanation:

l:g:p= 3:5:11 ratio

4(3x+5x)+2*11x= 108 legs

32x+22x= 108

54x= 108

x= 2

Lions= 2*3= 6

Ratio of Giraffes : Lions : Penguins = 3 : 5 : 11

Giraffes = 3x

Lions = 5x

Penguins = 11x

Giraffes = 4 legs

Lions =  4 legs

Penguins = 2 legs

4(3x) + 4(5x) + 2(11x) = 108

12x + 20x + 22x = 108

54x = 108

x = 108 ÷ 54 = 2

Number of lions = 5x = 5(2) = 10

Answer:  10 lions

Answer: in 340 million square miles there are 8.808 x 10^10 hectares

Step-by-step explanation:

Answer:

Measure of central angle is 3.665 radians

Step-by-step explanation:

In this question, we are trying to get the value of the central angle.

As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.

Mathematically the length of an arc is calculated as follows;

Length of arc = theta/360 * 2 * pi * r

Plugging the values we have from the question;

14 pi = theta/360 * 2 * pi * 12

divide both sides by 2pi

7 = theta/360 * 12

360 * 7 = 12 theta

theta = (360 * 7)/12

theta = 210

Since 1 degree = pi/180 radian

it means 210 degrees = 210 * pi/180 = 3.665 radians

Answer:

[tex]\frac{7\pi }{6}[/tex]

Step-by-step explanation:

Khan Academy

Answer:

This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.

Answer:

It is 3 and 1/3 divided by 2/3.  None of the choices given work.

Hope it helps <3

Answer: 1/45

Step-by-step explanation:

From thw question, we are told that there are:

Yellow marbles =2

Pink marbles =3

Blue marbles = 5

Total marbles = 2+3+5 = 10

The probability of drawing the first yellow ball will be= 2/10

Since the ball is not replaced, that means there will be 9 balls left and 1 yellow ball left. Therefore, the probability of drawing the second yellow ball will be = 1/9

The probability of drawing two yellow balls if they're not replaced will now be:

= 2/10 × 1/9

= 2/90

= 1/45

Answer:

Solution,

[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

The number of adults that said exactly one coping mechanism are 25 adults

Step-by-step explanation:

Total number of adult in the group = 60 adults

The number that go on vacation vacation = 34

The number that go for a smoke break = 27

The number that listen to music = 41

The number that go for a vacation and smoke = 13

The number that smoke and listen to music = 16

The number that go for a vacation and listen to music = 20

The number that said two of the coping mechanism = 28

Set theory

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)

Given that the following relations;

n(A∪B∪C) = 60

n(A) = 34

n(B) = 27

n(C) = 41

n(A∩B) = 13

n(A∩C) = 20

n(B∩C) = 16

Therefore;

60 = 34 + 27 + 41 -13 -  20 - 16 + n(A∩B∩C)

∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 -  20 - 16) = 7

Given that 28 said exactly 2, we have;

Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3

Total number of respondents = 60

Those that said exactly 2 = 28

Those that said exactly 3 = n(A∩B∩C) = 7

Therefore;

60 = Those that said exactly 1 + 28 + 7

Those that said exactly 1 = 60 - (28 + 7) = 25

Alternatively, we have;

Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C))  + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))  

= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25

60 - 28 - 7 = 25

The number of adults that said exactly one coping mechanism = 25.

Answer:

Step-by-step explanation:

Using sine rule on triangle ABC as re - shown in the attachment below to get side AC first we have;

∠A = 34°, BC = 164cm, ∠B = 27°, AC = ?

AC/sin 27° = BC/sin 34°

AC/sin 27° = 164/sin 34°

AC = 164 * sin 27° / sin 34°

AC = 74.45/0.5592

AC = 133.14 cm

To get the side 'a', we will use the trig ratio SOH CAH TOA on the right angled ACD.

According to SOH,

sin 61° = a/AC

a = ACsin61°

a = 133.14 * sin 61°

a = 116.45

a ≈ 117 cm

The marked side is approximately 117 cm

Answer:

The Answer is 6 :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

f(x)=2^x

Let f(x) =8

8 = 2^x

Rewriting 8 = 2^3

2^3 = 2^x

The bases are the same so the exponents are the same

3=x

Answer:

-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5.  Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.

Hope this helps!

Hey there! :)

Answer:

x = 3.

Step-by-step explanation:

Given:

[tex](8x-8)^{\frac{3}{2} } = 64[/tex]

Rule of fractions in exponents:

Numerator- power

Denominator- root

Take the 2/3 root of both sides:

[tex](8x-8) = 64x^{\frac{2}{3} }[/tex]

Simplify [tex]64x^{\frac{2}{3} }[/tex]

Cube root of 64 = 4

4² = 16.

Therefore:

8x - 8 = 16

Add 8 to both sides:

8x = 24

Divide both sides by 8:

x = 3.

Answer:

x=3

Step-by-step explanation:

Not sure how to explain

Answer:

5.24 feet

Step-by-step explanation:

First find the circumference of the circle. The formula is C=2πr. The radius is five so the circumference is approximately 31.42 feet. That means that in 6 seconds, the unicorn travels about 31.42 feet. To find the feet traveled in one second, you must divide 31.42 by 6 which equals approximately 5.24 feet.