Frank, Grey, Hala, and Inez will ride in the same car on the field trip. Three of the children will sit in the back seat of the car. What are the 4 possible combinations of three children? Use the abbreviations F, G, H, and I in your list. (Hint: The order of the children does not matter.)

Answers

Answer 1

Answer:

(FGH ; FGI ; GHI ; HIF)

Step-by-step explanation:

Frank, = F

Grey = G

Hala = H

Inez = I

3 children sitting in the back seat :

Using combination formula :

4C3

nCr = n! /(n-r)! r!

4C3 = 4! / 1! 3!

4C3 = 4 / 1 = 4

The 4 Possible combinations are :

(FGH ; FGI ; GHI ; HIF)


Related Questions

Find all the zeroes of g(x)=4x^4+4x^3-11x^2-12x-3

Answers

Answer:

The zeroes of [tex]g(x)=4x^4+4x^3-11x^2-12x-3[/tex] are [tex]-\sqrt{3}, -\frac{1}{2}, \sqrt{3}[/tex], or approximately [tex]-1.732, -0.500, 1.732[/tex].

Step-by-step explanation:

Graphical calculator way (probably intended)

By inputting the function in a graphical calculator we can see that the roots of the graph of [tex]g[/tex] are about [tex]x=-1.732, x = 0.500, x = 1.732[/tex] (make sure you click on the points of interests).

Algebraic way (probably not intended because of obscure factoring)

Notice that [tex]g(x) = 4x^4+4x^3-11x^2-12x-3 = (2x-1)^2(x^2-3).[/tex] So the roots can be calculated with [tex](2x-1)^2 = 0 \vee x^2 - 3 = 0[/tex], yielding [tex]x = -\frac{1}{2} \vee x = \pm\sqrt{3}[/tex].

Which graph represents the function?

f(x)=1x+1−2

IS MY ANSWER CORRECT???

Answers

Answer:yes

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Find the x- and y-intercepts of
5x - 3y = 12
.

Answers

x = (12/5,0)
y = (0,-4)

substitute 0 in for y & solve for x , to find the y-intercept substitute 0 in for x and then solve . ( I hope that makes sense)

PLEASE HELPPP ILL DO ANYTHING PLEASE

Answers

Answer:

7 2/3

Step-by-step explanation:

We can divide 23/3 which teh closest whhole number is 7 and we have a remainder of 2. So 7 2/3

Answer: Hello! Your answer should be 7 2/3, hope this helps

Step-by-step explanation:

Write the equation of the
parabola that has x-intercepts of
(1,0) and (5,0) in standard form.

Answers

Answer:

y = x² - 6x +5

Step-by-step explanation:

(x -1)(x-5) = y

x² - 5x - x + 5 = y

x² - 6x +5 = y

Which graph represents the function?

f(x)=1x−1−2

IS MY ANSWER CORRECT????

Answers

Yes your answer is right

You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)

The equation for the given graph can be:

[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Using the graph to form the equation

Since the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1

Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function  outputs -3 as value of the function.

Thus,

[tex]f(0) = -3[/tex]

Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.

Thus, we have:

[tex]f(x) = \dfrac{1}{x-1} - 2[/tex]

Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,

[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]

It is correct.

Thus,

The equation for the given graph can be:

[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]

Its graph is attached below.

Learn more about graphing functions here:

https://brainly.com/question/17056821

what's the square root of 25 in **simplest radical form**

Answers

Answer:

5

Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

5

Select the correct answer Find the product 3(x + 4)(x - 5)

Answers

[tex] {3x}^{2} - 3x - 60[/tex]

consider downloading photomath

Can anyone help me;(

Answers

Answer:

Use "photo math."

Step-by-step explanation:

Rewrite the following expression using the GCF and Distributive Property.
20k + 4m

Answers

tdtdidtiddititidtidutdtudutdrysrys6rdr6druurddut

the answer is 4( 5k +m)

Write an integer for each situation. *Remember that an integer is a whole number that
can be negative, positive, or zero.
a bank deposit of $75

Answers

-75. a deposit is a 'down payment'

In comparison 1/3to where would 3/9be
located on a number line
A
closer to o
В.
the same point
C.
closer to 1
D
At 0

Answers

B- at the same point. 3/9 simplified would be 1/3....

In comparison to 1/3 to 3/9, both numbers are located at the same point on a number line.

What is a number line?

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

It is given that:

In comparison 1/3 to where would 3/9 be located on a number line

As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

1/3 = 0.333

3/9 = 1/3 = 0.333

If we plot the above fractions on a number line we will see these two fractions are on the same point.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Thus, in comparison to 1/3 to 3/9, both numbers are located at the same point on a number line.

Learn more about the number line here:

brainly.com/question/13189025

#SPJ2

Rewrite the function f(x)=4(x-2)²-8 in the form f(x)=ax²+bx+c.
HELP I NEED IT ASAP PLEASE AND THANK YOU

Answers

Answer:

stop

Step-by-step explanation:

Answer:

4x^2 - 16x + 8

Step-by-step explanation:

4(x-2)^2-8

4(x-2)(x-2)-8

4{x^2-4x+4}-8

4x^2 - 16x +16 - 8

4x^2 - 16x + 8

At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $55 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
NEED IT FINISHED ASAP!!!!!!

Answers

Answer:

8 personal training sessions, 3 from Sliver Gym and 5 from Fit Factor.

Step-by-step explanation:

Alright, write the multiples of and 25 and 15 until both reaches the same number.

25, 50, 75

15, 30, 45, 60, 75

I don't really understand the final part of the question, but I hope it helps.

3 + 5 = 8

3 from Sliver Gym and 5 from Fit Factor.

Rate of change and slope. Can anybody help me? This is a major and I do not understand the problem.

Answers

Step-by-step explanation:

1. the rate of change is constant. the slope is 3

2. the rate of change is variable, because it's not consistent.

Number 15
Please help I need to turn this in today!

Answers

Answer:

d is equal to or greater than 9

Step-by-step explanation:

Subract thirteen from both sides of the equation.

what is the result of adding these two equations 8x-4y=-4 -3x+4y=5

Answers

Answer:

8x-4y=-4

-3x+4y=5

+

-----------------(adding equation)

5x=9

is a required answer

Solve the system of equations - 8x - 5y = -13 and - 4x – 5y = 11 by
combining the equations.

Answers

Answer:

(6,-7)

Step-by-step explanation:

subtract them:

-8x - 5y = -13

-4x - 5y = 11

you get

-4x = -24

so x = 6

plug x into the second equation:

-24 - 5y = 11

-5y = 35

y = -7

so your solution is (6,-7).

Answer:

Your solution is (6, -7).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-8x - 5y = -13

-4x - 5y = 11

Let's change the second equation into one with one variable on each side.

-5y = 4x + 11

y = -4/5x - 11/5

Now, plug this into your first equation.

-8x - 5(-4/5x - 11/5) = -13

Distribute the -5 sign.

-8x + 4x + 11 = -13

Combine the like terms.

-4x + 11 = -13

-4x = -24

Isolate x by dividing both sides by -4.

x = -24/-4

x = 6

Now plug this back into either equation.

y = -4/5(6) - 11/5

Multiply.

y = -24/5 - 11/5

Subtract.

y = -35/5

Simplify.

y = -7

Your solution is (6, -7).

Check this by plugging in these values into the equation you have not checked yet.

-8(6) - 5(-7) = -13

-48 + 35 = -13

-13 = -13

Your solution is correct.

Hope this helps!

bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 2 to 3. What percent of the blankets in the bin are blue?

Answers

66 percent because when u have an fraction 2/3 is 66 so the answer is 66 percent

Answer:

Step-by-step explanation:Answer

5.0/5

1

minashi

Beginner

7 answers

44 people helped

Step-by-step explanation:

13=blue blankets 7=red blankets

First, we need to know how many blankets there are in total.

13+7=20

Now, we don't need the seven anymore. Our ratio is blue blankets to total blankets.

13/20

Now, we need to know how many blue blankets there are in percentage.

13/20 = x/100

Next step: 13 times 100 is divided by 20

x= 13(100)÷20

x=1300÷20

x= 65

plssss help giving brainly

Answers

Answer:

-2 and 4

Step-by-step explanation:

not 100% sure but i think so

Answer: 4 + -6 = -2

Explanation: it’s technically 4-6 which also equals -2

im give 15 points if you know this phm

Answers

Answer:

The answer is option (D) 8.17 × 10^8...

Hope u like it

Answer:

d... 8.17 * 10^8

Step-by-step explanation:

(*゜ー゜*)do you know what it means?

if loss is loss percent and cost price in CP what will be SP?​

Answers

Answer:

SP = selling price

SP = [(100 + Gain%) / 100] * CP.

SP = [(100 – Loss %) / 100]*CP.

Answer:

Sp is selling price

Cp is cost price then Wil be profit or loss

1 1. What is the solution to a system where the graph of both lines are the same?

Answers

parallel lines???????

Math homework sucks...

Empire star Terrence Howard was paid $1.25 * 105 per episode filmed in season one. If Empire filmed 12 episodes in the first season, how much total salary did Terrence Howard earn?

Answers

Answer:

Terrence would have earned $1575 dollars

Step-by-step explanation:

First we multiply 1.25 by 105.

1.25 * 105 = 131.25

Next we multiply 131.25 by 12.

131.25 * 12 = 1575.

So, the answer is 1575.

Hope this helps! :)

I think Terrence Toward would have earned...
$1575 dollars. (Hope this helps)

Change 8.75% to a decimal.

Answers

Answer: 0.0875

Step-by-step explanation: you divide the number by 100

Is the function a polynomial function?

f(x) = 4 -1/x^2


Answers

Answer:

yes

Step-by-step explanation:

Find the perimeter of the following triangle. Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

step 1. The perimeter (P) is the length around the triangle.

step 2. P = 6 + 5 + L (the length of the hypotenuse)

step 3. L = sqrt(6^2 + 5^2) = sqrt(61) where sqrt is the square root

step 4. P = 11 + sqrt(61) = 18.81.

Explain two different ways to find a new value after an original value is increased by 30%.

Answers

Answer:

Frequently, we know the new amount and the percent change and need to know the original amount. We found that a $600 TV on sale for 30% off, cost $420 on sale. We might think, that to find the original cost of the TV that has a sale price of $420 after a sale of 30% off, we could just take 30% of the $420 cost and add it back to the $420 to find the original cost.

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

Or, 130% of $420 is 1.3($420) = $546.

Notice that this is not the $600 original list price with which we started.

Step-by-step explanation:

evaluate 7y-3y for y=2

Answers

Answer:

8

Step-by-step explanation:

So. Let's plug in 2 for y. 7(2)-3(2). Before we subtract, let's multiply first. 7 times 2 is 14 and 3 times 2 is 6. So now the equation looks like this: 14-6. From here, you do regular subtraction to get 8. Hope this helps!

Measure
Angle
48°
А
B
(6. - 28)
(2x)
С
Find the value of x. Then find the measures of angles B and C
Enter your answers in the boxes.
mZB=
O
mZC =
o

Answers

Answer:Measure

Angle

48°

А

B

(6. - 28)

(2x)

С

Find the value of x. Then find the measures of angles B and C

Enter your answers in the boxes.

mZB=

O

mZC =

o

Step-by-step explanation:

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