Which graph or graph shows a proportional relationship

Answer:

  (f·g)(x) = x³ -8x² +20x -16

Step-by-step explanation:

The distributive property is useful for this.

  (f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)

  = x(x² -6x +8) -2(x² -6x +8)

  = x³ -6x² +8x -2x² +12x -16

  (f·g)(x) = x³ -8x² +20x -16

_____

Additional comment

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

Step-by-step explanation:

Since the first coordinates are both (0,0) it implies that the line passes through the origin.

The slope of the line is therefore 5/8

The equation:

y-0=5/8(x-0)

y=5/8x

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]

[tex]y=3x+b[/tex]

[tex]-3=3(4)+b[/tex]

[tex]-3=12+b[/tex]

[tex]-15=b[/tex]

[tex]y=3x-15[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]

Answer:

3 packs equal the price of two, therefore 1.43•2= 2.86

and 6 packs equal the price of 4, so 2.86•2= 5.72

If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]

Answer: A = 15 + 0.5(w)

Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.

To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula

Answer:

  D.  f(x) = -6x^3 -5x^2 +21x

Step-by-step explanation:

The given zeros mean the function has factors ...

  (x -(-7/3))(x -3/2)(x -0)

Multiplying by 6, we can write this as ...

  (3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x

And multiplying by -1 gives ...

  -6x^3 -5x^2 +21x . . . . . matches choice D

__

Additional comment

The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).

Answer:

See attached

Step-by-step explanation:

A simpler form of the same equation is:

y = -4 +(4+2/5)

Answer:

Thats one heck of a whole lot nuts

Step-by-step explanation:

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

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if you want a third point, just ask!

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Hope this helps.

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<3

The change in kinetic energy of the  system is 200 J

Kinetic energy is the energy that an object possesses as a result of its motion.

It is given by:

Kinetic energy = (1/2)m[v - u]²

Where m is the mass of the object, v is the final velocity and u is the initial velocity.

Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:

Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J

The change in kinetic energy of the  system is 200 J

Find out more at: https://brainly.com/question/12669551

Answer:

-

Step-by-step explanation:

Answer:

you have to go over one on the y axes then 3 up that would be your answer.

your y-intercept would be -1

Answer:

$2580

Step-by-step explanation:

$1500 dollars increased by 9%. In 8 years how much money he will have.

Ok, he has 1500 bucks in there

percents are an amount out of 100 so 9%=9/100

which, 9/100 in decimal form is .09

1500*.09 which is 135

135 dollars every year added

in 8 years, he will have earned 1080 bucks due to interest

1500+1080 which is 2580 dollars

he will have 2580

Answer:

1,616.60

Step-by-step explanation:

we know that

The compound interest formula is equal to

A=P(1+\frac{r}{n})^{nt}A=P(1+

n

r

)

nt

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}

t=5 years

P=$1,500

r=1.5%=1.5/100=0.015

n=4

substitute in the formula above

A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+

4

0.015

)

4∗5

A=1,500(1.00375)^{20}A=1,500(1.00375)

20

A=\$1,616.60A=$1,616.60

Answer:

Yes, it is a solution.

Step-by-step explanation:

Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.

1st linear equation: 2+6=8, this is true.

2nd linear equation: 3x2-6=0, this is also true.

Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.

Answer:

y-2=-10(x-1).

Step-by-step explanation:

The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).

Answer:

b=22/15 or 1.46 repeating

Step-by-step explanation:

Answer:

i.900

j.6

k.8

l.0

Step-by-step explanation:

hope this helps you ;)

Answer:

equilateral triangle

Step-by-step explanation:

B. equilateral triangle

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]

First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.

[tex]3\left(12x-16\right)[/tex]

[tex]=3\cdot \:12x-3\cdot \:16[/tex]

[tex]=36x-48[/tex]

[tex]4\left(12-3x\right)[/tex]

[tex]=4\cdot \:12-4\cdot \:3x[/tex]

[tex]=48-12x[/tex]

Now we've simplified the expression to:

[tex]36x-48=48-12x[/tex]

[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]

[tex]36x-48+48=48-12x+48[/tex]

[tex]36x=-12x+96[/tex]

[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]

[tex]36x+12x=-12x+96+12x[/tex]

[tex]48x=96[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]

[tex]\frac{48x}{48}=\frac{96}{48}[/tex]

[tex]\bold{x=2}[/tex]

Therefore, the answer is [tex]x = 2[/tex]

The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].

[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]

Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.

Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.

On Solving the brackets, we get

[tex]3.6x-4.8=4.8-1.2x\\[/tex]

[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]

[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]

[tex]\ x= 2[/tex]

Hence, the solution of the given equation is [tex]x=2[/tex].

For more details about expressions follow the link:

https://brainly.com/question/545403

Answer:

10

Explanation:

130 divided by 13 equals 10

10 times 13 equals 130

Answer:

(3)(2x) + 3 (-4) + - 1n

6x + -12 + - n

Answer -n + 6x - 12

Proof:-

In ∆TOP and ∆ZAP

[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]

Hence

∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)

Step-by-step explanation:

Statement                                                  Reason

∠O ≅ ∠A                                                    Given

TO ≅ AZ                                                    Given

∠OPT and ∠ZPA are vertical angles       Vertical angles theorem

∠OPT ≅ ∠ZPA                                           Definition of vertical angles

ΔTOP ≅ ΔZAP                                           Angle - angle -side AAS postulate

1. -2 + 15 = 13

If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.

2. The temperature rose 15 degrees

-6 + 9 = 15

Answer:

1 a) 13 degrees Celsius

b) By fifteen degrees

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

Answer:

I would say 5.2 .

Step-by-step explanation:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667