if two equations are the same at two different points, what can be said about the two equations?

Answer:

1.) Without compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year term.

2.) Using the compounded interest formula, you will earn $22883.01 after the 7 year term.

3.) Because of the negative interest, the compounded amount is only $695,929.30.

4.) Putting money in a saving account is saving money with a lower earning compared to investments. Investments have the higher potential of earning more than just having a basic savings account.

Step-by-step explanation:

If you don't have compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year plan.

Answer:

Step-by-step explanation:

f(x) = a(x - x₁)(x - x₂)     - factored form of the equation of the parabola with zeros x₁ and x₂

x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7

So:

f(x) = a(x - 2)(x + 7)     - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)

The parabola passing through point (1, 32) means if x=1 then f(x)=32

Then:

        32 = a(1 - 2)(1 + 7)  

        32 = a(-1)(8)  

        32 = - 8a

         a = - 4

Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):

                           f(x) = -4(x - 2)(x + 7)  

Expanding to standard form:

     f(x) = -4(x - 2)(x + 7)

     f(x) = -4(x² + 7x - 2x - 14)  

     f(x) = -4x² - 20x + 56  

The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is

f(x) = -4 ( x - 2 ) ( x + 7 )

Its standard form is

f(x) = -4x² - 20x + 56.

It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

We have,

To find the equation of a parabola we use the factored form of a quadratic equation.

f(x) = a ( x - m ) ( x - n)

Where a is the leading coefficient and m and n are the zeros of the quadratic.

The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,

m = 2

n = -7

Now the equation passes through (1, 32) = (1, 32) so we have,

32 = a ( 1 - 2 ) ( 1 - (-7) )

32 = a ( -1 ) ( 1 + 7 )

32 = a ( -1 )8

32 = -8a

a = -32 / 8

a = -4

We have,

m = 2

n = -7

a = -4

The equation of the parabola is:

f(x) = a ( x - m ) ( x - n)

f(x) = -4 ( x - 2 ) ( x + 7 )

We can expand to its standard form as:

f(x) = ( -4x + 8 ) ( x + 7 )

f(x) = -4x² - 28x + 8x + 56

f(x) = -4x² - 20x + 56

Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.

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Answer:

g(1) = 0

There is a remainder of 10 so you can automatically cross out 3 and 4.

When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0

The given equation is:

[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0

Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]

Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0

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Answer:

-1/2

Step-by-step explanation:

8-15 = -7

-28 - -42 = 14

-7/14 = -1/2

Answer:

Give brainliest first then I’ll give the answer

Step-by-step explanation:

Answer:

Sides RU and ST

Step-by-step explanation:

Just did the quiz

Answer:

After 8 weeks, Faith would have $88. money saved = 40+6w

Answer:

$88 saved in 8 weeks

Step-by-step explanation:

Part 1:

You would first set up the equation 40 + (6 x 8) = t. T would be the total money saved. You would then do 6 times 8 first, as they're in parenthesis. You would get 48. You now have 40 + 48 = t. You would now add like terms, and you would get 88 = t. You would save $88 in 8 weeks.

Part 2:

40 + 6w = t

w would represent the number of weeks, t would represent the total number of money saved.

Answer:

Un experimento determinista es aquel cuyo resultado se puede predecir con certeza de antemano, como combinar hidrógeno y oxígeno o sumar dos números como 2 3. Un experimento aleatorio es aquel cuyo resultado se determina por azar.

Step-by-step explanation:

what is a deterministic experiment

A deterministic experiment is one whose outcome may be predicted with certainty beforehand, such as combining Hydrogen and Oxygen, or adding two numbers such as 2 3. A random experiment is one whose outcome is determined by chance.

Answer:

5 weeks if it stays the rate of 3 quizzes a week

brainliest if correct please

Step-by-step explanation:

Answer:

5.5

hope this helped!!!!!

Answer:

Distance on drawing is 11.7 feet.

Step-by-step explanation:

A scale is a factor that can be used to either increase or decrease the size of an object.

Scale = [tex]\frac{distance on drawing}{original distance}[/tex]

Given that:

scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches

So,

[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]

distance on drawing = [tex]\frac{3*93}{2}[/tex]

                               = [tex]\frac{279}{2}[/tex]

                               = 139.5

distance on drawing = 139.5 inches

Since 12 inches = 1 foot, then;

Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]

                                              = 11.625 feet

Distance on drawing is 11.7 feet.

Answer:

A. 64 trucks and 80 cars

Step-by-step explanation:

The ratio is 4:5 or 4/5, which equals 0.8. Divide the number of trucks by the number of cars to see which other answer equals 0.8. The only one that does is A.

Answer:

6

Step-by-step explanation:

Big brain

Answer:

4550 kilowatt

Step-by-step explanation:

Given that :

Amount of energy produced per hour by solar energy system = 9.1 kw per hour

Number of hours for which electricity is produced per day = 5 hours

How much energy will be produced in 100 days

Number of kilowatt of energy produced per day:

Energy produced per hour * number of hours

9.1 kw per hour * 5 hours = 45.5 Kilowatt per day

In 100 days :

Daily energy produced * number of days

45.5 kilowatt * 100 days

4550 kilowatt

Answer:

B. Line B

General Formulas and Concepts:

Algebra I

Undefined slopes are when x equals a certain number.

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

From the given choices, B is the correct answer.

A has a slope of 0, so m = 0 and would become a horizontal line.

C has a negative slope, so it is not undefined.

D has a positive slope, so it is not undefined.

B shows a vertical line, and so it has an undefined slope.

Answer:

BA = 11

Step-by-step explanation:

CB + BA = CA , substitute values

7x - 2 + 5x + 1 = 23, that is

12x - 1 = 23 ( add 1 to both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Thus

BA = 5x + 1 = 5(2) + 1 = 10 + 1 = 11

Answer:(

(-4,-3)

Step-by-step explanation:

You get the negative and subtract from y1 and y2 and then ad x1 with the result of the subtraciton. : ) hope this helps!

Answer:

non

Step-by-step explanation:

Answer:

hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute

Step-by-step explanation:

The computation of the rate at which she is riding is shown below:

Given that

Rita covered 1 mile in 15 minutes.

And, her covered 3 miles in 30 minutes.

Now

Let us assume the number of miles covered would be in x minutes

So for one miles the point would be (15,1)

And for three miles, the point is (30,3)

Now the slope of the line is

m equal to

[tex]\frac{y_2 - y_1}{x_2 - x_1} \\\\\frac{3 - 1}{30 - 15} \\\\\frac{2}{15}[/tex]

hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute

Answer:

-3 is the solution set of the following equation

Answer: 60 pizzas

Step-by-step explanation:

From the question, we are informed that the student council plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order.

Since 36 pepperoni pizzas are ordered for the dance, the number of cheese pizzas ordered will be:

= 36 × 2/3

= 24 cheese pizzas

The total pizza ordered will now be:

= Cheese pizzas + Pepperoni pizzas

= 24 + 36

= 60 pizzas

Answer:

60

Step-by-step explanation:

60 trust me

Answer:

19

Step-by-step explanation:

1. Subtract and divide. 9 - 3 is 6, and 6 divided by 1/3 is 18, because whenever you divide by a fraction, you multiply by the reciprocal.

2. Add. 18 + 1 is 19.

Answer: 5:8

Step-by-step explanation:

Given: Total animals in the pet store = 40

Number of animals that are puppies= 15

Number of animals that are not puppies= 40-  15 = 25

Now , the ratio of A to B = [tex]\dfrac{A}{B}[/tex] or A : B.

So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = [tex]\dfrac{25}{40}[/tex]

Divide numerator and denominator by 5 , we get [tex]\ \ \ \dfrac{5}{8}[/tex].

Hence, the required ratio = 5:8

Answer:

7 boxes

Step-by-step explanation:

Answer:

{x,y}={21,41}

Step-by-step explanation:

Step by Step Solution:

More Icon

System of Linear Equations entered :

  [1]    4x - 2y = 2

  [2]    3x - 2y = -19

Graphic Representation of the Equations :

   -2y + 4x = 2        -2y + 3x = -19  

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    3x = 2y - 19

 [2]    x = 2y/3 - 19/3

// Plug this in for variable  x  in equation [1]

  [1]    4•(2y/3-19/3) - 2y = 2

  [1]    2y/3 = 82/3

  [1]    2y = 82

// Solve equation [1] for the variable  y

  [1]    2y = 82

  [1]    y = 41

// By now we know this much :

   x = 2y/3-19/3

   y = 41

// Use the  y  value to solve for  x

   x = (2/3)(41)-19/3 = 21

Solution :

{x,y} = {21,41}

Answer: {x,y}={21,41}

Answer:

Volume = Length × Width × Height

Step-by-step explanation:

A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a  right rectangular prism, we use the following expression.

Volume = Length × Width × Height

Answer:

Remainder → (76)

Step-by-step explanation:

Given function;

f(x) = x² - 5

f(x) = x² + 0.x - 5

We have to divide this function by expression (x + 9).

x + 9) x² + 0.x - 5 (x - 9

        x² + 9x

             - 9x - 5  

             - 9x - 81

                      76

Therefore, by dividing the function 'f' by (x + 9) remainder is (76).