In a sequence, each number after the first number is obtained by adding 4 to the previous number. If the first number in the sequence is 7, which of the following expressions represents the nth number in the sequence?


A 7+4n
B 7+(4n−1)
C 7+4(n−1)
D 7+4(n+1)

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:

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:

B

Step-by-step explanation:

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

Answer:

9/7

Step-by-step explanation:

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

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

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: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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if x is 100 the units would be 96

if x is 102 the units would be 98.07

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:

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:

1. x=1

2. x=-1

3. No solution

4. x=2

5. x= -6

Step-by-step explanation:

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:

Step-by-step explanation:

fguyy

Answer:

Step-by-step explanation:

Step one:

given that the sides of the quadrilateral are:

6,8,7, and 9 in dimension.

And the side corresponding to 7 now measures 12

we may agree that the side has increased by 5cm, hence 5 has been added to that side.

Step two:

we can say that  the other side will increase as follows

[tex]side_6= 6+5= 11cm\\\\side_8=8+5=13cm\\\\side_9=9+5=14cm\\\\[/tex]

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:

I guess it would be 36?

Step-by-step explanation:

Answer:

who are you making mad??...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5,580,000 miles

Step-by-step explanation:

d (30)= 186,000 x 30

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:

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:

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

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:

34

Step-by-step explanation:

34

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:

8/3

Step-by-step explanation:

Answer:

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

Answer: C doesn’t belong

Answer:

y = -2x+2

Step-by-step explanation:

Answer:

y = -2x+2

Step-by-step explanation:

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:

(6,0)

(0,-2)

Step-by-step explanation: