A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of
plates weighs 20 lbs. If x pairs of plates are added to the barbell, the total weight of
the barbell and plates in pounds can be represented by f(x)=20x+4.
What is the domain of the function for this situation?

Check the picture below.

[tex]8x-16=4x+20\implies 4x-16=20\implies 4x=36\implies x=\cfrac{36}{4}\implies \boxed{x=8} \\\\\\ (8x-16)~~ + ~~(4x+20)\implies 12x+4\implies 12(8)+4\implies \LARGE \begin{array}{llll} \stackrel{\measuredangle ABC}{100^o} \end{array}[/tex]

Answer:

A

Step-by-step explanation:

because it is a straight line locate at x = 6 that pass to every y coordinate, so it pass -8 too.

Answer:

The system of equations can be used to determine the number of days it will take for both to complete the same number of daily sit-ups?

32 + 2d = 28 + 3d

The number of days it will take for both to complete the same number of daily sit-ups is 4 days

Step-by-step explanation:

Let the number of days it would take them to do daily sit ups be represented by d

At the start of the challenge, Marisol is able to complete 32 sit-ups and plans to increase the number of sit-ups she completes daily by 2.

= 32 + 2d

At the start of the challenge, Kelly is able to complete 28 sit-ups and plans to increase the number of sit-ups she completes daily by 3.

= 28 + 3d

We equate both Equations together

Marisol = Kelly

32 + 2d = 28 + 3d

The system of equations can be used to determine the number of days it will take for both to complete the same number of daily sit-ups is given as:

32 + 2d = 28 + 3d

Solving further:

We collect like terms

32 - 28 = 3d - 2d

d = 4 days

Hence, it will take for both of then 4 days to complete the same number of daily sit-ups .

Answer:

i not sure but o think its d

Answer:

348840

Step-by-step explanation:

Calculator

Answer:

348840

Step-by-step explanation:

Answer: 1,500 messages.

Step-by-step explanation: please give the crown.

Answer: Jesus

Step-by-step explanation: Jesus is always the answer

Answer:

D) 42x-27

Step-by-step explanation:

Distribute the 7

7*6x=42×

7*-4=-28

Combine like terms:

42x(Stays there)

-28+1=-27

42x-27

Answer:

Following are the solution to the given points:

Step-by-step explanation:

In point a:

The middle point of the segment AB will be the hypothesis, which is equal to M.

In point b:

The conclusion of AB = 2AM.  

In point c:

If p q is incorrect, after all, M is not really the middle point of a section AB, then the inference is wrong.

Answer:

No

Step-by-step explanation:

22,54,8 and 112 aren't prime numbers.

An equation shows the relationship between variables and other quantities in a situation​, by equating the constraints of the situation.

The variable is the unknown part of the equation that can take any value according to the equation.

Properties of an equation can be defined as-

They are the expression which consist the variables, coefficients of variables and constants having an equal sign in between.

The example of an equation can be given as:

y = 5 x + 10

Lets assume here that the variable (y) represent the charge of taxi and variable (x) represent the number of rides the taxi traveled.

Here the constant 10 is the fixed amount which is charged by the taxi driver and coefficient of (x) 5 is the rate by which the the value of x increases with respect to y.

Therefore, an equation shows the relationship between variables and other quantities in a situation​, by equating the constants of the situation.

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Answer:

65% of 90.95 is $59.12

Answer:

I'm not exactly sure this is correct but I think

Step-by-step explanation:

The total is 31.8325.

Answer:

D: 32

Step-by-step explanation:

u = (2,-8)

v = (8,-2)

u * v = ((2 * 8) + (-8 * -2))

u * v = (16 + 16)

u * v = 32

Answer:

Step-by-step explanation:

2x+10 for x < -3

(1/3)x +1 for x >3

The three consecutive odd numbers in order from smallest to largest are-

Consecutive numbers are numbers which follow each other in a frequent counting order or pattern.

Now, as per the question;

Let the first odd number be 'n'.

Then, the second odd number will be '(n + 2)'.

And, the third odd number will be '(n + 4)'

Now, we have to take the two times the first = 2n.

one times the second  = (n + 2)

three times the third  = 3(n + 4).

Sum of all  three is 296.

Thus,

2n + (n + 2) + 3(n + 4) = 296

Simplifying the equation;

2n  + n + 2 + 3n + 12 = 296

6n = 296 - 14

6n = 282

n = 47 (1st odd number)

n +2 = 47 + 2 = 49 (second odd number)

n + 4 = 47 + 4 = 51 (third odd number)

Thus, the three consecutive odd numbers has be calculated.

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                   .                                                                    

....................

. .                                                              

                                              .       .

Answer: m=3

Step-by-step explanation:

Distributing the '4' means multiplying it by everything within the parenthesis next to it. That means, in this circumstance, you are multiplying the 'm' and the '4' by the '4' on the outside the parenthesis.

4(m+4)=28

4m+16=28. Subtract the 16 on both sides.

4m=12

m=3

Answer:

1) 120

2) 24

Step-by-step explanation:

This is a problem involving permutations: the number of different ways you can arrange stuff

If there are n items, n! represents the permutation of n and is given by the formula : 1 x 2 x 3 x........x (n-1) x n also sometimes written in the form
n x (n-1) x (n-2) x........x 3 x 2 x 1

In this case there are 5 people. So the number of different ways they can stand in line is 5! = 5 x 4 x 3 x 2 x 1 = 120 ways  Answer to (1)

Answer to (2)
If Larry insists on being in the middle the other 4 have to arrange themselves around Larry in 4! ways = 4 x 3 x 2 x 1 = 24 ways

Answer:

Choice D

Step-by-step explanation:

For this one I would find if the point lands on the line.

Choice A:

What we have to do is to plug in -4 for x and 4 for y.

[tex]y=2x+10\\(4)=2(-4)+10\\4=-8+10\\4\ne2[/tex]

The point is not on this line so this cannot be it.

Choice B:

We pug what we know again.

[tex]y=\frac{1}{3}x+1\\(4)=\frac{1}{3}(-4)+1\\(4)=-\frac{4}{3}+1\\4\ne-\frac{1}{3}[/tex]

The point is not on this line so it can't be it.

Choice C:

We pug in what we know again.

[tex]y=3x-9\\(4)=3(-4)-9\\(4)=-12-9\\4\ne-21[/tex]

The point is not on this line so it can't be it.

The next one has to be it, but we'll check it just in case.

Choice D:

We plug in what we know again.

[tex]y= \frac{1}{2}x+6\\(4)=\frac{1}{2}(-4)+6\\(4)=-2+6\\4=4[/tex]

The point is on this line so this is the line.

The rectangular field that has a the perimeter of 134yd has a length of 47yd and width of 20yd

To solve this geometry exercise the equation and procedure we will use is:

P = (2*L) + (2*W)

Where:

Information about the problem:

Applying the perimeter equation of a rectangle, we have:

P = (2*L) + (2*W)

134 = [2*(x+ 27)] + (2*x)

134 = 2x+ 54 + 2x

134 - 54 = 2x + 2x

80 = 4x

x = 80/4

x = 20

Substituting the value of (x) in the data and we have:

W= x

W= 20yd

L= x + 27yd

L= 20yd + 27yd

L= 47yd

The perimeter is the total length of the edge of a geometric figure.

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Answer:

2 + (7 ÷ 9)x = 5 ÷ 6

Step-by-step explanation:

Given

[tex]2+\frac{7}{9}x=\frac{5}{6}[/tex]

You can eliminate fractions by turning them into division problems!

2 + (7 ÷ 9)x = 5 ÷ 6

c=7

tell me if I'm wrong.............. ......

Answer:

(Slope) M = -2/3

(Y Intercept) B = 6

When you put the number down for the slope, do not include the x.

(The picture shown is the answer for what the equation is graphed in this case, if your graph is not big enough, read "Step-by-step explanation:".)

Step-by-step explanation:

When dealing with slopes, we use this formula: y = mx + b.

m - # before variable, this is your rise/run.

b - y intercept, this is the point you start on the graph.

When graphing, you need to put b (y intercept, "beginning") on the graph, in this case it's 6, so you need to put it at (0,6). Next, you use the rise/run. To do this, the numerator (-2) will be your "rise", so you move down 2, since this is a negative number. Then, your denominator (-3) will be your "run", so you move left 3, since this is a negative number.

If the graph is not big enough to go down or up, or left or right however much for the rise/run, turn the number (for ex. 2/3) positive if negative, and negative if positive, and use the rise/run to graph it.

Hope this helped, have a nice day.

Answer:

This is how I would graph it. Hope this helps! :)

Step-by-step explanation:

If you need a different way to graph lmk!

Answer:

25x + 15800

Step-by-step explanation:

Given

The amount of money in both banks over time represented  by the functions;

f ( x ) = 50 x + 6500 and  g( x ) = − 25 x + 9300

The total amount of money in the two accounts over time is expressed as;

h(x)= f(x) + g(x)

Substitute;

h(x) = 50 x + 6500 + (− 25 x + 9300)

h(x) = 50x - 25x +6500+9300

h(x) =25x + 15800

Hence the sum of the money in the account over time is 25x + 15800

If K is the midpoint of JL, and (JL = 48), then (JK = KL = 24) and (a = 88).

As per the question statement, K is the midpoint of JL, and (JL = 48).

We are required to calculate the values of JK and KL and, also the value of "a" if [KL = (a - 24)].

Since, K is the midpoint of JL, then K divides JL into two equal line segments, JK and KL.

Therefore, lengths of JK and KL will be [tex]\frac{JL}{2}=\frac{48}{2}=24[/tex], i.e., (JK = KL = 24).

Also, since [KL = (a - 24)],

[tex]24 = (a -24)\\or, a = [24-(-24)]\\or,a = (24+24)\\or,a = 88[/tex]

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