what is Mark's age, x, is 6 times his age 2 years ago.?

Answer:

2(t-3) ^2 = 72

(t - 3)^2 = 36

t - 3 = 6 or t - 3 =-6

t = 6+3 = 9. or t =-6 +3 = -3

t = 9 or -3

We have that

The Value of t is

t=9

From the question we are told

2 (t -3) ² - 72=0

In Answering the Question we must follow these few steps

Generally the derivation of t is mathematically given as

[tex](t-3)^2=\frac{72}{2}\\\\t-3=\sqrt{\frac{72}{2}}\\\\t-3=6\\\\t=9[/tex] [Firstly we must make t the subject of the Formula

Firstly we must make t the subject of the FormulaSecondly,We perform the necessary]

Therefore

The Value of t is

t=9 [Finally,The value of t will be gotten]

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Answer:

Last option

Step-by-step explanation:

[tex]r^{-7} = \frac{1}{r^{7} }\\ \\s^{-12}= \frac{1}{s^{12} }[/tex]

Answer:

Step-by-step explanation:

-30, -9.3, |-18|, 35.

Answer: -30, -9.3, |-18| (which is now just 18), and 35

Step-by-step explanation: The absolute value sign around |-18| makes the -18 an 18. For example, |-5| will become positive 5. |7| would stay positive even with the absolute value sign.

As negative numbers get bigger, they go left on the number line, making them smaller. Positive numbers go right on the number line, making then bigger.

Answer:

X = 208

Step-by-step explanation:

Answer:

The answer is x=4

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

i think it's right im sorry if not

Answer:

63

Step-by-step explanation:

I just did it

Answer:

98p-9

Step-by-step explanation:

sorry don't know to explain

Answer: a) Y= 2|x-3|+1

Step-by-step explanation:

Hope this helps

The equation that describes the graph is the one in option a:

f(x) = 2*|x - 3| + 1

We can see that the graph is an absolute value equation with a vertex in the point (3, 1), so the absolute value function must be of the form:

f(x) = a*|x - 3| + 1

Now, we also can see that the arms open upwards, so the slope must be positive, and we can see that for each increment in x, we have an increment of 2 units in y, so the slope is a = 2.

This means that the function is:

f(x) = 2*|x - 3| + 1

So the correct option is a.

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Answer:

7 teams of five with 2 girls and 3 boys

Answer:

A. $608 B. $76

Hope this helps

Answer:

[tex]y=5w+2w=228[/tex]

Step-by-step explanation:

Answer:

1/3 or 0.33333333333_

Step-by-step explanation:

Answer:

A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.

Step-by-step explanation:

hope this helped ✨

Answer:

A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.

Step-by-step explanation:

Answer: 3.19176 * 10^3

Step-by-step explanation:

Step 1: Subtract 3,375.9 from 6,567.66 = 3191.76

Step 2: Convert 3191.76 to scientific notation

Note: The purpose of scientific notation is to make big numbers into small numbers by moving the decimal point and then showing how many decimal places you moved by using powers of ten.

Step 3: Move the decimal 3 places to the left, and multiply by 10^3.

3.19176 * 10^3

27.  1,3,5,15

28.  1,2,3,5,6,10,15,30

29.  1,2,3,6,9,18

30.  1,17

--------------------------------------

31.  30x30=900

32.  12x12x12x12= 20,736

33. 11x11x11= 1331

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9514 1404 393

Answer:

  27.  15 = 1×15 = 3×5

  28.  30 = 1×30 = 2×15 = 3×10 = 5×6

  29.  18 = 1×18 = 2×9 = 3×6

  30.  17 = 1×17

  31.  base: 30; power: 2; value: -900

  32.  base: 12; power: 4; value: 20,736

  33.  base: 11; power: 3; value: 1,331

Step-by-step explanation:

27-30: The factor pairs can be found by looking at the unique subsets of the set of prime factors. The product of the elements of each subset will be a divisor. The "empty" set can be considered to contain 1. When divisors are listed in numerical order, the factor pairs can be found by pairing factors from each end of the list, working toward the center. If the number is a perfect square, there will be an odd number of divisors, and the center number will be used twice

Examples:

  18 = 2×3×3 (prime factorization).

Subsets of these factors are  {}, {3}, {3}, {3,3}, {2}, {2,3}, {2,3}, {2,3,3}. Then the divisors are 1, 2, 3, 6, 9, 18. The factor pairs are 1×18, 2×9, 3×6.

  25 = 5×5 (prime factorization).

Unique subsets are {}, {5}, {5,5}. Divisors are 1, 5, 25. Factor pairs are 1×25, 5×5.

__

The purpose of an exponent is to indicate repeated multiplication. That is, just as 2×3 means 2+2+2 (repeated addition), the use of an exponent means repeated multiplication: 2³ means 2×2×2.

This idea can be extended to give several rules of exponents--rules for multiplication, division, powers, and roots. All of these rules derive from the basic idea of repeated multiplication.

The number that is repeatedly multiplied is called the base. The exponent is called the power.

In plain text, the caret (^) symbol is used to signify an exponent. If an exponent is other than a single number or variable, it must be enclosed in parentheses, so that there is no confusion regarding what the exponent consists of. (This is an "order of operations" issue, since exponentiation must happen before any other operation.) In typeset math expressions, an exponent is rendered in superscript text.

31. -30^2 = -900 . . . base is 30, power is 2. The minus sign is not part of the base. Again, this interpretation is based on the "order of operations".

32. 12^4 = 20,736 . . . base is 12, power is 4.

33. 11^3 = 1,331 . . . base is 11, power is 3

Answer:

Check out the graph

Answer:

I'm pretty sure the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

In triangle LON, <O = 90°

According to Pythagoras' Theorem

(Hyp)² = (Base)² + (Perp)²

m² = 4² + 8²

m² = 16 + 64

m² = 80

Taking square roots on both sides

√m² = √80

m = 8.94

In triangle LMN, <N = 90°

According to Pythagoras' Theorem

(Hyp)² = (Base)² + (Perp)²

(8 + k)² = l² + 4²

Answer:

1 hour and 45 minutes or 105 minutes

Step-by-step explanation:

105 minutes = 60 minutes + 45 minutes = 1 hour and 45 minutes

Answer:

105 min

Step-by-step explanation:

LOL i dont know what u asked this question for but the answer is 105 min it tells u right there "Liz watches a movie that iis 105 min long"  i sound so mean rn sorry if i offended u but i just think this is sort of funny

Answer:

The rates are equal

Step-by-step explanation:

To see if the rates are equal, divide both of the units by the number of minutes:

60/3

= 20

80/4

= 20

This means both rates are equal, since we got 20 for both of them

This means the rate is 20 units per 1 minute, for both rates.

So, the rates are equal.

Answer:

They are equal

1=20

2=40

3=60

4=80

Step-by-step explanation:

Answer:

2.4 cm

Step-by-step explanation:

The scaled dimension on the drawing [tex]=[/tex] (Scale-factor) [tex]\times[/tex] (Original dimension)

She decides to draw 1cm for the original length of 0.5m=50 cm.

For this, the scaled dimension on the drawing=1cm and

the original dimention=50 cm

So, the scale-factor = 1/50.

As the kitchen door is 1.2m wide, i.e the original width of the door is 120 cm.

So, the scaled width of the door is

[tex]120\times \frac{1}{50}=2.4 cm.[/tex]

Hence, on the drawing, the width of the kitchen door should be 2.4 cm.

Answer: Choose which answer you think fits

Step-by-step explanation:

The roots are there to confuse you. They have the exact same numbers under the radical, so you can treat it like a variable and add 4 + 3 since theyre like terms.

[tex]7(5\sqrt{x2y} ) = 35\sqrt{x2y}[/tex]

If that's an x^2, bring the x out and keep the y inside the radical to get:

[tex]35x\sqrt{y}[/tex]

Answer:

B is your answeer

Step-by-step explanation:

GL hope i helped<333!!

Answer:

Step-by-step explanation:

Solving in steps

Step-by-step explanation:

f(x) = -6(4-x) which f(-0.6)

therefore:

we multiple -6×4= -24 and -×- =+ this implies +6×x = 6x

we add:

-24 + 6x which we already know x is = -0.6

-24 + 6 (-0.6)

-24 + 3.6

= the big number always carry the sign

the answer is = -27.6

Answer:

1

Step-by-step explanation:

Answer:

All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output. Here are mappings of functions. The domain is the input or the x-value, and the range is the output, or the y-value.

Answer:

Step-by-step explanation:

A relation between members of two sets X and Y is any set of ordered pairs {(x1,y1) (x2,y2) … }, finite or infinite in their number, provided the first member is from X and the second member is from Y. (Let’s not mention the uncountable possibility here).

E.g., if X = {Sunday, Monday, …, Saturday} and Y = {1,2, …, 31}, then the set {(Monday,1) (Tuesday,2) … (Monday,8) (Tuesday,9) … (Sunday,28)} is a useful relation for some February calendar, somewhere. It is “one-to-many”. And note that set Y need not be covered, but X must be. This distinguishes the domain of the relation (days of the week here) from its codomain (whole numbers 1 to 31 here).

Considering the vast set of all relations, there is one subset of great importance, those relations that have unique codomain values for each domain value. That is, each x in X is paired unambiguously with exactly one y in Y. These special relations are functions. The set of y in Y which have been paired with some x in X is called the range of f. Functions may still be “many-to-one”, as in y = r(x) which gives x rounded to the nearest integer. Thus r(2.3) = r(1.9) = 2.

Within the subset of functions are the one-to-one functions, which also have the property that every y in the range is paired with exactly one x in the domain. Because of this, these are the only functions that have an inverse function. Thus, the inverse function can be written as {(y1,x1) (y2,x2) … }. This shows that the domain and range of the original function are exactly exchanged in the inverse function.

E.g., y = tan(x) is one-to-one with domain [-pi/4 , pi/4] and range [-1,1]. Its inverse is x = arctan(y) with domain [-1,1] and range [-pi/4 , pi/4]. The roles of x and y are unambiguous, and shouldn’t be exchanged: x always in [-pi/4 , pi/4] and y always in [-1,1].

Answer:

30

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

Given

| - 10 | + | - 20 |

= 10 + 20

= 30

Answer:

|-10| + |-20| = 30

Step-by-step explanation:

Absolute Value

The absolute value of x, written |x| is a positive number that represents the distance from the origin and the number.

In practice, the absolute value is found writing the number without the negative sign, if present.

For example:

|-9| = 9

|76| = 76

|0| = 0

The given expression is

|-10| + |-20|

Calculate each absolute value separately:

|-10|=10

|-20|=20

Thus:

|-10| + |-20| = 10+20 = 30

|-10| + |-20| = 30

Answer:I believe it is A

Step-by-step explanation:

You would multiply bc it is a decimal