3.
For each expression, combine like terms and write an equivalent expression with fewer terms.
a.
4x + 3x
b.
3x + 5x – 1
C.
5 + 2x + 7 + 4x
d.
4 - 2x + 5x
e.
10x – 5 + 3x – 2

Answer:

The rate of change of the diver's elevation was 10 53/89 ft./min

Step-by-step explanation:

The given parameters are;

The initial elevation of the diver = 0 feet (Ocean surface level)

The depth to which the diver dove = -59 9/10 feet

The rate at which the diver descended = -18.4 feet/minute

The duration the diver spends at the elevation, t₁ = 12 minutes

The depth to which the diver ascended to = -18 9/10 feet

The total time the diver takes so far in the ocean, [tex]t_{(tot)}[/tex] = 19 1/8 minutes

Therefore, we have;

The time it takes the diver to descend to -59 9/10 feet t₂ = -59 9/10/(-18.4) = 3 47/184 minutes

The duration of the divers ascent = [tex]t_{(tot)}[/tex] - t₁ - t₂ = 19 1/8 - 12 - 3 47/184 = 3 20/23 minutes

The rate of change of the divers elevation in ascent = Distance of elevation/Time

The rate of elevation of the divers elevation in ascent = (-18 9/10 - (-59 9/10))/(3 20/23) = 41/(3 20/23) = 943/89 feet/minute = 10 53/89 feet/minute

The rate of change of the diver's elevation = 10 53/89 ft./min ≈ 10.6 ft./min.

Answer:

I got x = -3/7, y = 20/7. Hope this helps :)

Answer: The probability is 1/9.

Step-by-step explanation:

First, let's define the possible outcomes of each dice:

Red: Forward (4 times), Backward (2 times)

Green : {1, 1, 2, 2, 3, 4}

We want to find the probability of moving backward 2 spaces.

Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.

First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:

p1 = 2/6 = 1/3.

And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):

p2 = 2/6 = 1/3.

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:

P = p1*p2 = (1/3)*(1/3) = 1/9.

Answer:

It is the first answer y=- x + 5 and y = x - 3

Step-by-step explanation:

y=-x+5 and y=x-3 is the system of linear equations for the given table values.

Two or more expressions with an Equal sign is called as Equation.

A system of linear equations is usually a set of two linear equations with two variables.

x       y

0      5

5      0

2      3

4       1

Let us find equation of these values by considering any two points.

Slope: m=1-3/4-2=-2/2=-1

1=-1(4)+b

1+4=b

b=5

So y=-x+5 is the linear equation for first table.

x        y

0       -3

3       0

5       2

-1       -4

Slope m=-4-2/-1-5=-6/-6=1

Now find the y intercept

-4=1(-1)+b

-4+1=b

-3=b

y=x-3 is the equation of second table.

Hence,  y=-x+5 and y=x-3 is the system of linear equations for the given table values.

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Answer:

yes

Step-by-step explanation:

because the cost stays the same and you would multiply blank gallons of gas by 1.50 every time so it is proportional. For example: it would be $1.50 to 1 gallon, $3 to 2 gallons, $4.50 to 3 gallons and would keep going like that, adding the same amount every time

Answer:

Graph C

Step-by-step explanation:

small slope for walking, flat for stopping, than there is a big slope for running

Answer:

Step-by-step explanation:

The question is incomplete, here is the detailed version:

A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and

the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much

does the factory pay out for each week?

B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above

and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .

A. The total pay per week

  =  (10(150)+88(85.5))*6

  =(1500+7524)*6

  =9024*6

  =$54144

B. The factory’s total profit or loss in one week.

 = 60,128.72-(54144+6(1135.78))

 =60128.72-(54144+6814.68)

 =60128.72-60958.68

 = -829.96

The factory will make a loss of $829.96 per week

Answer:

yes it is a function because the x does not repeat itself

Step-by-step explanation:

9514 1404 393

Answer:

  y - 2 = 0

Step-by-step explanation:

The given coordinates both have y=2, so the desired line is ...

  y = 2

In general form, that would be ...

  y - 2 = 0

Answer:

B)

Step-by-step explanation:

You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B

Answer:

g ∈ ∅

Step-by-step explanation:

Expand the expression

30 g + 12 = 30  

Cancel out the 30g on both sides

12 = 0

Decide whether the statement is true or false

g ∈ ∅

Answer: A. 12 + 12√12

Step-by-step explanation:

The perimeter of a triangle is acquired by adding up all the sides of the triangle.

In this case therefore the perimeter is;

= 2√2 + 2√2 + 4

= 4√4 + 4

There are 3 triangles so the total perimeter is;

= 3 * (4√4 + 4)

= 12√12 + 12

= 12 + 12√12

Answer:

I think its letter A

Step-by-step explanation:

hoped it helped

Answer:

SAS

Step-by-step explanation:

Side Angle Side: It shows only one angle and shows that 2 sides are congruent.

Answer:

It is SAS. Please mark brainliest.

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer:

1/1

100% as a fraction can be written as 1/1, which can be "simplified" to 1. In other words, 100% is the whole.

Hope this helps ^-^

Answer:

vertex form:  y = a(x – h)2 + k, where (h, k) is the vertex

standard form:  y = ax^2 + bx + c

Step-by-step explanation:

not certain what the qustion is

Answer:

A, B

Step-by-step explanation:

Los términos están separados por +, -, / o x.

Answer:

962.5 is the answer

Step-by-step explanation:

One gallon cost 2.5 dollars and according to this 1*2.5=2.5+2*5=10........

The relationship between no. of gallons and the total cost of purchasing is in a linear relationship.

A linear relationship between two variable is when one variable is increased or decreased by some constant this results in same amount of increase or decrease in the another variable.

According to the given data

The relationship between the number of gallons of gas that are purchased and the total cost is in linear relationship.

A linear relationship forms when increasing a variable k times results in increase of k times on the another variable and same is for decrease.

We can observe when x = 1, y = 2.5.

Now suppose k is 10

∴ x = 1k and y = 2.5k

  x = 10 and y = 25. Which is already given in the diagram showing a linear relationship.

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Answer:

proportional

Step-by-step explanation:

because it has a constant ratio

Answer: Proportional

Step-by-step explanation:

The equation for a proportional relationship is y=kx. This equation: y=12x fits the equation, so it's proportional.

Answer:

Sequence of arithmetic

Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Answer:

The equation of the line is y - 3 = 2.5(x - 2) ⇒ D

Step-by-step explanation:

The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

The point-slope form of a line is y - y1 = m(x - x1), where

From the given figure

∵ The line passes through points (2, 3) and (0, -2)

∴ x1 = 2 and y1 = 3

∴ x2 = 0 and y2 = -2

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-2-3}{0-2}=\frac{-5}{-2}=2.5[/tex]

∴ m = 2.5

→ Substitute the values of m, x1, y1 in the form of the equation above

∵ m = 2.5, x1 = 2, y1 = 3

∵ y - 3 = 2.5(x - 2)

∴ The equation of the line is y - 3 = 2.5(x - 2)

Answer:

you have  to divide 12 by 15

Step-by-step explanation:

Answer:

Undefined, this is bc a slope is always a fraction, that means it can be written as 5/0 but you can't divide anything by 0 for slope so its undefined. Hope that helps!

Answer:

I hope it will help you...

Answer:

[tex]B=7x^4[/tex]

Step-by-step explanation:

The given equality is

[tex]-35x^6=(-5x^2)B[/tex]

Take the term [tex](-5x^2)[/tex] to the left hand side. This means the term [tex]-35x^6[/tex] will be divided by [tex](-5x^2)[/tex]

[tex]\dfrac{-35x^6}{(-5x^2)}=B[/tex]

Now since both the numerator and denominator have negative sign the value of fraction will be positive.

[tex]\dfrac{35x^6}{(5x^2)}=B[/tex]

Now [tex]5\times 7=35[/tex] and [tex]x^{6-2}=x^4[/tex]

[tex]7x^4=B[/tex]

So, the missing factor [tex]B=7x^4[/tex]

You know that the popcorn cost $5.00 so the drinks would cost $2.50 each. So when you plot the points you would reach $10.00 for popcorn and have $5.00 for drinks. $15.00 for popcorn and $7.50 for drinks.

Step-by-step explanation:

Judy has $30 to spend.

The price per bag of popcorn is $5.

The price per drink is $2.50.

is your equation

Answer:

2x+2y

Step-by-step explanation:

x and y are unlike terms, and the only unlike terms in this list. you cannot add them together – therefore, 2x+2y is the answer you seek.

Answer: at end of explanation

Step-by-step explanation:

First simply operate the e's, so get common factor and (- 56 - 23)e = -24. This leaves you with -79e = -24. Then move the number multiplying e to dividing the other side, so e = -24 / -79, wich results in 0.8 period. So your result rounded to 2 decimal places is 0.89.

Answer:

0.304

Step-by-step explanation:

Step by Step Solution:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -56*e-23*e-(-24)=0  

Step by step solution :

STEP

1

:

Solving a Single Variable Equation

1.1      Solve  :    -79e+24 = 0  

Subtract  24  from both sides of the equation :  

                     -79e = -24

Multiply both sides of the equation by (-1) :  79e = 24

Divide both sides of the equation by 79:

                    e = 24/79 = 0.304