Grace's retirement party costs $2plus an additional $1 for each guest she invites. What is the maximum numbe of guests there can be Grace can afford to spend a total of $15 on her retirement party?

Answer:

NO

Step-by-step explanation:

For a relation to be a function, every input (x-value) must have exactly one output (y-value) mapped to it or related to it.

This means, in a function, an input value cannot give you two different outputs.

Therefore, relation shown in the arrow diagram IS NOT A FUNCTION, because one of the inputs (x-value), which is 1.2, has two different outputs (y-value) that is mapped or related to it, which are 6 and 8.

Answer:

9/7

Step-by-step explanation:

slope m= rise/run= (y2-y1) / (x2-x1)

m= 10-1/8-1 = 9/7

Answer:

I think it's 162.

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

Following PEMDAS

4(14-5)^2 ÷2

4(9)^2 ÷ 2

4(81) ÷2

324÷2

162

Answer:

Step-by-step explanation:

         x^2 - x +3

        ___________

  x-4 | x^3-5x^2+x-12

        | x^3-4x^2

        |__________

        |        -x^2 +x

        |        -x^2+4x

        | __________

        |                -3x -12

                         -3x-12

        |____________

                       0

If the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.

An equation is not the same as a mathematical expression. Expressions represent a group of integers, as opposed to equations, which represent a single number.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

The mathematical procedure for dividing large numbers into numerous smaller groups or parts is known as long division. The dividend is the number we divide into smaller groups, and the divisor is the number by which we divide. A problem can be solved by breaking it down into manageable steps.

Let the expression be (x³ - 5x² + 7x - 12) / (x-4)

[tex]$x^3-5 x^2+7 x-12=(x-4)\left(x^2-x+3\right)$[/tex]

simplifying the above equation, we get

[tex]$=\frac{(x-4)\left(x^2-x+3\right)}{x-4}$[/tex]

Cancel the common factor: x - 4

= x² - x + 3

Therefore, if the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.

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Answer:

1. x=1

2. x=-1

3. No solution

4. x=2

5. x= -6

Step-by-step explanation:

Answer:

[tex]x\geq -6[/tex]

Step-by-step explanation:

If we graph it, we see that the function exists when [tex]x\geq -6[/tex]. Not sure what more I can say.

I hope this helps!

Answer:

D

Step-by-step explanation:

The domain must not let 1/3 x + 2 go less than 0. So equate this binomial to  0 and then use the < or > symbol to indicate what the minimum value is.

1/3 x + 2 = 0      Subtract 2 from both sides

1/3 x = - 2          Multiply 3

3(1/3) x = - 2 * 3

x = - 6

So if x is less than - 6 the binomial will go negative and that is not a permitted value at this level.

So x must be - 6 or bigger.

Let's see what happens when x = - 6

1/3 ( - 6) + 2

-2 + 2

0

That's the minimum value for the domain.

Now try - 9

1/3(-9) + 2

- 3 + 2 = -1

That means you will have √-1 which does not exist in the rational world.

Now try x = 9

1/3 (9) + 2

3 + 2 = 5    which is fine.

So the answer you seek is x ≥ -6

Answer:

h(x) = (10x - 1)(x + 1)

Step-by-step explanation:

Given

h(x) = 10x²+9x-1

Required

Get its equivalent

To do this, we simply factorize h(x)

We have that:

h(x) = 10x²+9x-1

Expand

h(x) = 10x² + 10x - x - 1

Factorize

h(x) = 10x(x + 1) -1(x + 1)

This gives:

h(x) = (10x - 1)(x + 1)

Hence, the equivalent of h(x) = 10x²+9x-1 is h(x) = (10x - 1)(x + 1)

Answer: h(x) = (x+1) (10x-1)

Step-by-step explanation: I got it correct

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = -3x - 2

4y = -12x - 8

Step 2: Solve for x

Here we see that x does indeed equal to x. Therefore, x can be any value.

∴ The systems of equations have infinite amount of solutions.

Answer:

Y=1

Step-by-step explanation:

9y+8y+4Y=5y-16

21y-5y=16

16y=16

Y=16/16

Y=1

So value of Y is 1

Answer:

22.4 ft

Step-by-step explanation:

Given

[tex]Height = 2.5ft[/tex]

[tex]Shadow = 4ft[/tex]

Required

Determine the shadow of 14 ft Tom

The given parameters represents direct variation.

Let x represents the shadow of Tom.

So, we have:

When

[tex]2.5ft\ height = 4ft\ Shadow[/tex]

[tex]14ft\ height = x[/tex]

Cross Multiply:

[tex]2.5 * x = 14 * 4[/tex]

[tex]2.5 * x = 56[/tex]

Solve for x

[tex]x = 56/2.5[/tex]

[tex]x = 22.4[/tex]

Hence, the height of the shadow is 22.4ft

Answer:

y = -2x+2

Step-by-step explanation:

Answer:

y = -2x+2

Step-by-step explanation:

Answer:

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Step-by-step explanation:

Step one:

given data

cost of sneakers= $60

Required

the cost of the sneaker after the two discounts

Actually, the two percents given are the discount of the sale.

the first discount is

15%= 15/100*60

=0.15*60

=$9

The second is 10% coupon

10/100*60

=0.1*60

=$6

The total discounts = 9+6= $15

The cost of the sneakers= 60-15= $45

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Answer:

$12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

price quotes from Company A

charges= $7

additional charges per hour= $3

let the number of hours be x

and the total be y

the linear function for the total is

y=3x+7

price quotes from Company B

charges= $10

additional charges per hour= $2

let the number of hours be x

and the total be y

the linear function for the total is

y=2x+10

if the total quote is the same , then

3x+7=2x+10

solve for x, collect like terms

3x-2x=10-7

x=3 hours

Answer:

B

Step-by-step explanation:

The  y values minus each other over the x values minus each other

Answer:

58xH=M

Step-by-step explanation:

here is an example car traveles 58mph how many miles in 3 hours

58x3=174mph

The required equation that represents the number of miles the car traveled in h hours is m = 58h.

Given that,
A car travels at a constant speed of 58 miles per hour. Which equation can be used to find m, the total number of miles the car travels, in h hours is to be determined.

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
As, per the question,
Distance = speed × time
From the given,
Distance = m
Speed = 58 mile / hour
Time = h (in hours)
So,
m = 58 × h
m = 58h

Thus, the required equation that represents the number of miles the car traveled in h hours is m = 58h.

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Answer:

Step-by-step explanation:

fguyy

Answer:

120 gumballs

Step-by-step explanation:

Let

x = total gumballs

Buddy = 1/2x

Balance = x - 1/2x

= 2x-x/2

= 1/2x

Miranda = 1/2 of 1/2x

= 1/2 × 1/2x

= 1/4x

Balance = 1/2x - 1/4x

= 2x-x/4

= 1/4x

Zack = 1/2 of 1/4x

= 1/2 × 1/4x

= 1/8x

Balance = 1/4x - 1/8x

= 2x-x/8

= 1/8x

His sister = 5

Balance = 1/8x -5

10 = 1/8x - 5

10 + 5 = 1/8x

15 = 1/8x

x = 15 ÷ 1/8

= 15 × 8/1

= 120

x = 120 gumballs

Answer:

Sarah

Step-by-step explanation:

6.75/3 is the total for one pound . This = 2,25 while calros' 4.52/2 = 2.26. sarah paid one cent less, getting a better deal than carlos

Answer:

who are you making mad??...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:4.75

Step-by-step explanation:

do the math all you will get what i got

The student spends at lunch 4.75 dollars or 475 cents.

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.

Now,

Since, A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.

Hence, The amount of total money in dollars is,

⇒ $1.85 + $1.15 + $0.65 + $1.10

⇒ $4.75

We know that;

⇒ 1 dollar = 100 cents

Hence, we get;

⇒ 4.75 dollars = 4.75 × 100

                       = 475 cents

Thus, The student spends at lunch 4.75 dollars or 475 cents.

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Answer:

3 5/9

Step-by-step explanation:

Answer:

30/10. An improper faction is a fraction with a numerator higher than the denominator. 3/1 is 3 in fraction form, multiply by 10, and you get 30/10. It would also have worked if you just answered 3/1 but hey!, we like to go above and beyond, right?

Answer:

5,580,000 miles

Step-by-step explanation:

d (30)= 186,000 x 30

Answer:

$7.50

Step-by-step explanation:

First, you multiply 3 and $2.50 (because you skate for 3 hours and it's $2.50 per HOUR to skate) 3 x 2.50 is $7.50 plus the flat rate of $5 is $12.50. So, your total altogether would be $12.50. So if you pay that total with $20, you have to subtract 12.50 from 20. 20 - 12.50 is $7.50. Your change will be $7.50. I hope this is correct! So sorry if it isn't!

Answer:

7.5

Step-by-step explanation:

First, you multiply 2.50 x 3. The answer to that is 7.50. Add on the renting skates, that is 12.50. Then, you subtract 12.50 from 20.00. The answer is 7.5.

Answer:

Step-by-step explanation:

30

Answer:

200

Step-by-step explanation:

Answer:

I guess it would be 36?

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

34

Answer:

i would think that the answer is c. coming to a stop

Answer: C doesn’t belong

Answer/Step-by-step explanation:

-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.