What are the points of intersection between the graphs of the functions
f(x) = x²(x + 1) and g(x) = x + 1?

Answer:

The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.

Step-by-step explanation:

The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.

Hope it helped!!

Answer:

360,000

Step-by-step explanation:

just multiply by 3

Answer:

3,120 second year 3,244.80 the third year.

Step-by-step explanation:

4% of 3,000 is 120

so 3,120 then 3,244.80 the third year after the 4% is compounded

Answer: to solve the 3 unknown variables X, Y and Z in a set of 3 equations. Each equation has containing the unknown variables X, Y and Z. This 3 equations 3 unknown variables solver computes the output value of the variables X and Y with respect to the input values of X, Y and Z coefficients. In mathematic calculations, there are many situation arises where the usage of equation containing 3 unknown variables need to be solved prior to go further with the calculations. Therefore when it comes to online calculation, this Find the value of X, Y and Z calculator is an essential tool to assist you to find out the variable values given in the equation.

Step-by-step explanation: X  =  2

Y  =  -1

Z  =  1

Answer:

Step-by-step explanation:

I used the quadratic formula to find the roots of [tex]x^{2} + x -1[/tex]

[tex]a=\frac{-1-\sqrt{5}}{2} b=\frac{-1+\sqrt{5} }{2}[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} )^{2} * \frac{-1+\sqrt{5}}{2}[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}}{2}*(\frac{-1-\sqrt{5}}{2} )[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}-\sqrt{5} -4}{4}[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{ -4}{4}[/tex]

[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * -1[/tex]

[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} }*-1[/tex]

[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} } = \frac{\sqrt{5}+1 }{2\sqrt{3} }[/tex]

Answer:

1. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

2. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

Step-by-step explanation:

We need to Solve the equations.

1.  [tex]10 - 6 x = 4 + 5 x[/tex]

Step 1: Subtract 5x on both sides

[tex]10 - 6 x-5x = 4 + 5 x-5x\\10-11x=4[/tex]

Step 2: Subtract 10 on both sides

[tex]10-11x-10=4-10\\-11x=-6[/tex]

Step 3: Divide both sides by -11

[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]

So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

2. [tex]7-6x=1+5x[/tex]

Step 1: Subtract 5x on both sides

[tex]7 - 6 x-5x = 1 + 5 x-5x\\7-11x=1[/tex]

Step 2: Subtract 7 on both sides

[tex]7-11x-7=1-7\\-11x=-6[/tex]

Step 3: Divide both sides by -11

[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]

So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

Answer:

[tex]\frac{1170pi}{360m}[/tex]km

Step-by-step explanation:

To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is [tex]\frac{45}{m}[/tex] over 360 degrees.

Circumference of the circle with center B = 13×2×pi

                                                                     = 26pi

Length of minor arc = 26pi × [tex]\frac{45}{m}[/tex] ×[tex]\frac{1}{360}[/tex]

                                 = [tex]\frac{1170pi}{360m}[/tex]km

Answer:

$4867.2

Step-by-step explanation:

Answer: a. -$12.71

b. $36.93

Step-by-step explanation:

Given data:

No of loss = 31

No of wins = 33

•Had to complete the question first,

Given that the price of the ticket at the beginning of the season = $49.64

the ticket price decrease = $0.41 for every loss

Solution:

a) The cost of the ticket decreases by $0.41 for every game loss.

Change in cost = -$0.41 × number of losses

= -$0.41 × 31

= -$12.71

b) The cost of a ticket for the next game given they have 31 losses is:

Cost of ticket = Initial cost of ticket + change in cost

= $49.64 - $12.71

= $36.93

a. It is a binomial

b. It is a trinomial

c. It is a monomial

d. It is a trinomial

e. It is a binomial

To answer the question, we need to know what polynomials are

Polynomials are algebraic expressions that contains variables and coefficients.

a.

2 - x² + 4x + x² = 2 - x² + x² + 4x

= 2 - 0 + 4x

= 2 + 4x

Since it has two terms, it is a binomial

b.

x - 5x² + 3 - 2 = x - 5x² + 1

= - 5x² + x + 1

Since it has three terms, it is a trinomial

c.

x² - x² + x² - x² + 3 = 0 + 0 + 3

= 3.

Since this contains a single term, it is a monomial

d.

7x - x² + x³ + 4x² = x³ + 4x² - x² + 7x

= x³ + 3x² + 7x

Since it has three terms, it is a trinomial

e.

-6x - x² + 6x - 4x = -6x - x² + 2x

= - x² + 2x - 6x

= - x² - 4x

Since it has two terms, it is a binomial

a. It is a binomial

b. It is a trinomial

c. It is a monomial

d. It is a trinomial

e. It is a binomial

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Answer:

4 times.

Step-by-step explanation:

16/4 = 4.

Hope this helped!

Answer:

X = 4   X = -6

Step-by-step explanation:

X + 1 = 5                                          X + 1 = -5

X = 5 - 1                                          X = -5 -1

X = 4                                               X = -6

Answer:

Step-by-step explanation:

What absolute values of x will fit.

l4+1l=5

l -6+1l=5  

Step-by-step explanation:

5/4+(12/4_1/2)^2

5/4+((12_8)/4)^2

5/4+1

9/4

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²

= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²

= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]

= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]

= [tex]\frac{6}{4}[/tex]

= [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

( 0,4 ) is the point in the graph

Answer:

6165

Step-by-step explanation:

Answer:

6165

Step-by-step explanation:

I hope this helps!

Answer:

f(-7) = -4

Step-by-step explanation:

We want to find the value of the function when x = -7

The y value of the function when x= -7 is -4

f(-7) = -4

Answer:

f(-7)=-4

Step-by-step explanation:

If you look at the x, in this case -7, and follow it down to where it stops on the parabola, you will see that it's y value is -4.

Answer:

x=2, y=3

Step-by-step explanation:

This is a system of equations.

To solve a system of equations, we use the substitution method.

We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:

[tex]2*(2y-4)+y=7[/tex]

We simplify and solve for y:

→ [tex]4y-8+y=7[/tex]

→ [tex]5y=15[/tex]

→ [tex]y=3[/tex]

Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:

→ [tex]x=2*3-4[/tex]

→ [tex]x = 2[/tex]

Let me know if my explanation is unclear.

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[tex] \cot(teetha) = - 1[/tex]

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The cotangent in simplest form is -1.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

cos θ = √2 / 2

We know that from trigonometric ratio,

[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]

So, the adjacent side = √2 and the hypotenuse side = 2.

The other side of the right triangle can be found by Pythagoras theorem,

[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]

⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]

⇒ [tex]opposite^{2} = 4-2[/tex]

⇒ [tex]opposite = \sqrt{2}[/tex]

Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]

⇒ [tex]cot \theta = 1[/tex]

Since cot θ < 0, [tex]cot \theta = - 1[/tex]

Hence we can conclude that the cotangent in simplest form is -1.

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Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side. 

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

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The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

Answer: 9 quarters and 5 dimes

Step-by-step explanation:

Answer:

(b) or (d)

Step-by-step explanation:

stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24

This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:  Choice (b) 4y^2 - y - 24;  top right corner

===========================================================

Work Shown:

T = total number of students in the class

T = 4y^2 + y - 8

F = number of students who play football

F = 2y+16

B = number of students who play basketball

B = unknown for now

Since a student either plays football or basketball, but not both, this means

T = F+B

which rearranges to

B = T-F

Plug in the given expressions and simplify

B = T-F

B = (4y^2+y-8) - (2y+16)

B = 4y^2+y-8 - 2y - 16

B = 4y^2 + (y-2y) + (-8-16)

B = 4y^2 - y - 24

Answer:

Yeh that's what you have to do.....

Divide the total amount by four

Answer:

yes

Step-by-step explanation:

Answer: I think its 131.19, but not too sure.

Step-by-step explanation:

To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19

Do you want the speed of both cars? then the answer would be:

(300)- first car= 128.20

(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)

Answer:

160

Step-by-step explanation:

20% of 800 = 0.20 * 800 = 160

Answer:

Step-by-step explanation:

1 4/5*5/6

3/2 or 1 1/2

Answer:

X-intercept- ( 3/7,0)

Y-intercept- (0,-3)

Step-by-step explanation:

To find the y-intercept(s), substitute in  0 for x and slove for y

y=7(0)-3

simplify y=-3

to find the x-intercept(s), substitute in  0 for y and slove for X  

0=7x-3

rewrite equation- 7x-3=0 and slove

which would equal 3/7

Answer:

water : sucrose : saline = 1000 : 199 : 271

Step-by-step explanation:

Given Information:

Process:

Answer:

um idrk lol but I LIKE UR CUT G!!!!

Answer:

1) coordinates

2) slope

Step-by-step explanation:

The equation of a line is given by the two equations:

[tex]y=mx+b[/tex], where m is the slope and b is the y-intercept, or

[tex]y-y_1=m(x-x_1)[/tex], where x₁ and y₁ is the location of any point on the line, and m is the slope.

→ As such, we know that given the slope and the coordinates of any point on a line, we can write the line's equation.

We can also find the slope of a straight line between two points with the following equation:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], where m is the slope, x1 and y1 is the location of the first point, and x2 and y2 is the location of the second point. Remember: rise (y) over run (x).

→ So, given only two points, it is easy to find the equation of the line when you first find the slope.