Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?

Can you please write a proportion with the answer?

Final answer:

The axis of symmetry of a parabola can be found by the formula x = -b/(2a), which uses the coefficients of the quadratic equation. This line runs vertically through the vertex of the parabola.

Explanation:

Finding the axis of symmetry for a quadratic equation based on its graph involves identifying the line that divides the parabola into two mirror images. The axis of symmetry is always a vertical line and can be found by looking at the vertex (the highest or lowest point) of the parabola. The equation for the axis of symmetry is x = h, where h is the x-coordinate of the vertex. If the quadratic equation is in the standard form y = ax² + bx + c, the axis of symmetry can be calculated using the formula x = -b/(2a).

For instance, if we have a quadratic equation like y = 2x² - 4x + 1, we can find the axis of symmetry by using the formula with a = 2 and b = -4 which gives us x = -(-4)/(2*2) = 1. Therefore, the axis of symmetry for this parabola is x = 1.

Answer:

true

Step-by-step explanation:

Answer:

x=12.50

y = 17.50

Step-by-step explanation:

x = Amount of one Derek withdrawal

then amount of John withdrawal =x+5

Total withdrawals of Derek = no of times x one time withdrawal

= 7(x) = 7x ... i

No of John withdrawal = no of times x one time withdrawal

= 5(x+5)  ... ii

Given that i and ii are equal

i.e. 7x =5(x+5)

7x = 5x+25

2x =25

x = 12.50 dollars

Y = 17.50 dollars

Checking part:

total derek withdrawal = 7(12.5) =87.50

Joh's withdrawal = 5(17.50) = 87.50

Since both are equal, our answers are right.

Solution:  Derek withdrew each time 12.50 dollars each for 7 times and John withdrew 17.50 dollars each for 5 times.

2x-3=4x+8     Equation

-3=6x+8         Add 2x to opposite side

-11=6x            Subtract 8.

x= -6/11          Answer

Rise over run, so 2/6. This can be simplified to 1/3. Hope this helps!

Answer:  The SLOPE of the graphed line is [tex]\dfrac{1}{3}.[/tex]

Step-by-step explanation:  We are given to find the slope of the graphed line in the figure.

From the graph, we note that

the line passes through the points (0, 2) and (6, 4).

We know that

the slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the graphed line is given by

[tex]m=\dfrac{4-2}{6-0}=\dfrac{2}{6}=\dfrac{1}{3}.[/tex]

Thus, the SLOPE of the graphed line is [tex]\dfrac{1}{3}.[/tex]

Answer:

2/3

Step-by-step explanation:

That ratio, right out of the box, would be cheaper / more expensive, or $0.08 / $0.12.  This can be reduced to 8/12, or 2/3.

-2x^3 - 2x^2 + 12x

Because we can pull out a common factor, we'll do that first to simplify the expression.

-2x(x^2 + x - 6)

Now, let's see if we can split the middle term.

Display factors of -6.

-6 * 1

-1 * 6

-3 * 2

3 * -2 (these digits satisfy the requirements for splitting the middle term)

Split the middle term.

-2x(x^2 + 3x - 2x - 6)

Group terms in pairs of two.

-2x((x^2 + 3x) - (2x - 6))

Factor each binomial.

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

Rearrange the terms.

-2x(x - 2)(x + 3) is the fully factored form of the provided trinomial.  

The factorization of the trinomial -2x^3-2x^2+12x includes first factoring out the common factor -2x, and then further factoring of the trinomial within the parenthesis results in the final factorization as -2x(x-2)(x+3).

The trinomial in this question is -2x^3-2x^2+12x. The process we use to factor this trinomial would be to first factor out the greatest common factor (GCF) for all the terms. In this case, the GCF is -2x.

So, if we factor out -2x, we get: -2x(x^2+x-6).  We can continue to factor the trinomial (x^2+x-6) inside the parenthesis then. We find that it factors to (x-2)(x+3).

Thus, the final factorization of the original trinomial is -2x(x-2)(x+3).

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i believe your answer is c. because the x value goes first in a coordinate. hope this helps!

Sorry this is not the answer but I think it will help majorly it you can replace the unknown numbers with random ones and just keep on switching it out. Hope it helps a bit.  :)

The answer to the riddle is I_SO_LATE_ME! (the underscores are the squares.

1. 3x+2=5 (o)

2. 4+9+5+x=2x (square)

3. x/4+7=12 (a)

4. 2x+3=12 (e)

5. 7x=42 (!)

6. x/5=3 (e)

7. 2x+3x+4=12 (s)

8. 3x-2=5 (square)

9.

10.

11.

12.

13.

Answer:

Kim is 24 and her sister is 12.

Step-by-step explanation:

a) Xx2+X

I used the variable X because that represents Kim's sisters age, which you need to know in order to find out Kim's age. To get Kim's sisters age use a guess and check table or pick numbers until you get to the correct answer.

b) 12x2=24

24+12=36

My solution is Kim is 24 and her sister is 12.

the slope is 9 and the y-intercept is - 2

the equation of a line in ' slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

y = 9x - 2 is in this form

with slope m = 9 and y-intercept c = - 2

Eight less than a number = n - 8

One-third the number = 1/3 * n or n/3

So eight less than a number is one-third the number"

n - 8 = n/3

Answer is c) n-8 = n/3

3 + (-7)

yyyyyyyyyyyyyyyy

The addition form will be equal to 3 + (-7).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

Given that:-

= 3 − 7

The additional form of the above expression will be:-

=3 + (-7)

Therefore the addition form will be equal to 3 + (-7).

To know more about Expression follow

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Hey there!:

- 10 e + 15 = 95 - 30 e

subtract  15 from both sides:

- 10 e + 15 - 15 = 95 - 30 e - 15

Simplify :

- 10 e  = - 30 e + 80

Add 30 e to both sides:

- 10 e + 30 e  = - 30 e + 80 + 30 e

Simplify:

20 e = 80

e = 80 / 20

e = 4

hope that helps!

The lines are Perpendicular

Perpendicular lines are lines that directly bisect each other, forming 90° angles

~Rise Above the Ordinary

Hi, I'n Jenny and I'm a mathematician! I'd love to help you! :)

"which term describes lines that intersects at a 90 degree angle? "

My answer: perpendicular lines

Attached is more info on math lines

Message from ExperimentsDIYS:

Our team aims to please and if you have any question regarding your topic, we are here to help! We know that your education is very important. <3

approximately 5% of the time. In decmial form, it is 0.0516129032. If it is in fraction from, then it is 8/155. To explain, you find the total number of cookies. Then you find the number of peanut butter cookies and put that as the numerator over the total as the denominator. After that, you find the number of cookies left after Jose eats one cookie. That becomes the denominator and then find the amount of chocolate chip cookies ib the bag and put it over that total. Multiply both fractions together to get this answer.

The probability that Jose first selects a peanut butter cookie and then a chocolate chip cookie from a bag of 31 cookies is 8 out of 155.

This problem is a question of probability, which is a branch of Mathematics. Probability determines how likely an event is to occur out of the total number of possible outcomes. We'll calculate it step by step:

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The correct answer is 4a^2 + 3ab

In order to find this, we can write the equation out as described and then follow the order of operations.

3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative

3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms

4a^2 + 3ab

The subtraction -a² - 5ab + 3b² from 3a² -2ab + 3b² is -a(4a + 3b)

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

-a² - 5ab + 3b² and 3a² -2ab + 3b² are the two expression.

-a² - 5ab + 3b² from 3a² -2ab + 3b², we will have

-a² - 5ab + 3b² - (3a² -2ab + 3b²)

On simplifying,

-a² - 5ab + 3b² - 3a² + 2ab - 3b²

-4a² - 3ab

-a(4a + 3b)

Thus , the subraction is -a(4a + 3b).

More about the subtraction link is given below.

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12 - 3 = 9

So Nemili has 9 more red triangles than blue triangles.

Hope this Helps!!

First statement : Six more than three times a number is less than or equal to 96.

Let us assume number be n.

We can repharse above statement as :

"6 more than 3 times of n is less than or equal to 96".

Therefore, we can write an ineuality as.

3 times of n = 3n

6 more than 3 times of n = 3n+6.

3n+6 ≤ 96.

_____________________________________________________________

Statement 2: Five less then half the distance from Jerod’ s home to the mall is more then 6 miles.

Let us distance from Jerod’ s home to the mall is d.

We can repharse above statement as:

5 less than 1/2 of d is more than 6 miles.

5 less than 1/2 of d = 1/2d -5 .

Therefore, we can write an ineuality as.

12d -5 > 6.

7 is ten times the value of 0.7

The kinetic energy of the girl is 120 J while the dog has 40 J.

if the dog speeds up, it would have a kinetic energy of 160J.

In order to get these answers, you need to use the formua for kinetic energy which is KE=1/2 mv^2. mass=m, v=velocity and KE= Kinetic Energy.

Answers of tthe questions are reasonable because you would gain more energ if you run faster and also more energy if you gain more mass.

[tex]replace y by x and vice versa, then solve for y:

y=-2x+5 \rightarrow x=-2y+5 \implies y=-\frac{1}{2}(x-5)[/tex]

Given

The expression is given in the question

[tex]=(x^{\frac{4}{3}}\times\ x^{\frac{2}{3}})\ ^{\frac{1}{3}}[/tex]

Find the expression is equivalent to the above expression.

To proof

As expression is given in the question

[tex]=(x^{\frac{4}{3}}\times\ x^{\frac{2}{3}})\ ^{\frac{1}{3}}[/tex]

By using the properties

product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

i.e

[tex]x^{a} .x^{b} = x^{a +b}[/tex]

Now using this in above

we get

[tex]=x^{\frac{6}{3}\times\frac{1}{3}}[/tex]

Also by using the property

[tex](x^{a} )^{b} = x^{ab}[/tex]

We get[tex]=x^{\frac{6}{9}}[/tex]

Therefore expression becomes

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

Hence proved

The function is not one-to-one function, hence the inverse doesn't exist for the whole domain of the function. But if we restrict the domain to [tex]x\in(-\infty,0][/tex] or [tex]x\in[0,\infty)[/tex], then we can give the inverse.

[tex]f(x)=x^2-4\\\\y=x^2-4\\\\x^2=y+4\\\\x=\sqrt{y+4} \vee x=-\sqrt{y+4}\\\\f^{-1}(x)=\sqrt{x+4}\vee f^{-1}(x)=-\sqrt{x+4}[/tex]

So, when [tex]D_{f(x)}:x\in(-\infty,0][/tex], the inverse is [tex]f^{-1}(x)=-\sqrt{x+4}[/tex] and when [tex]D_{f(x)}:x\in[0,\infty)[/tex], the inverse is [tex]f^{-1}(x)=\sqrt{x+4}[/tex].

The inverse of the function f(x) = x^2 - 4 is found by switching the x and y variables and solving for y. Because y is being squared, there are two solutions: y = ±sqrt(x + 4).

The inverse of a function f(x) is found by switching the x and y variables and solving for y. For the function f(x) = x^2 - 4, let us swap x and y, it becomes x = y^2 - 4. Next, solve for y. However, because y is being squared, there will be two solutions, one for the positive square root and other for the negative square root. Therefore, the inverse of the function f(x) = x^2 - 4 is y = ±sqrt(x + 4).

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Farmer Gray planted 300 seeds.

To find this, you simply multiply the number of flower pots (30) by the number of seeds in each pot (10). Thus making the answer 300.

I hope this helps!

The y-intercept is the point where the line crosses the vertical y-axis.

Option: D is the correct answer.

The probability is: 0.50

Weight/Calories  1000-1500   1500-2000  2000-2500   Total

    120 lb.                 90               80                   10               180

    145 lb.                 35               143                  25              203

    165 lb.                  15                27                  75               117

    Total                140               250                110             500

We are asked to find the probability that a person consumes 1500-2000 calories in a day.

Total number of people who were surveyed=500

Total number of people who consume 1500-2000 calories in a day are:250

              Hence, Probability is:

                250/500=1/2=0.50

Answer:  D. 0.50

Step-by-step explanation:

Formula for probability :

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

The given two-way table :

Weight/Calories   1000-1500   1500-2000  2000-2500     Total

   120 lb.                   90               80                   10               180

   145 lb.                   35               143                  25              203

   165 lb.                   15                27                  75               117

  Total                    140               250                110                500

To find the probability that a person consumes 1500-2000 calories in a day., we need :

a) The total number of people surveyed.  (Total outcomes)

b)  The number of people consume 1500-2000 calories in a day. (favorable outcomes)

From the above table,

Total people surveyed=500

Number of people consume 1500-2000 calories in a day are=250

Then , the required probability will be :-

[tex]\text{P(person consumes 1,500 to 2,000 calories in a day)}=\dfrac{250}{500}=\dfrac{1}{2}\\\\=0.50[/tex]

Hence, the probability that a person consumes 1,500 to 2,000 calories in a day=0.50