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9514 1404 393

Answer:

  a.  T(x) = 29x +101

  b.  T^-1(x) = (x -101)/29

  c.  the value of the home in thousands as a function of the tax on it

Step-by-step explanation:

a. The tax is $101 plus $29 per thousand of value. x is the value in thousands, so the tax is ...

  T(x) = 29x +101

__

b. The inverse function can be found by solving ...

  x = T(y)

  x = 29y +101

  x -101 = 29y

  y = (x -101)/29

  T^-1(x) = (x -101)/29

__

c. The function tells you the tax on a home worth x thousands.

The inverse function tells you the worth of the home in thousands when the tax on it is x.

Answer:

33

Step-by-step explanation:

6x4+9= 33

Answer:

Step-by-step explanation:

1. Use the slope formula (y2 - y1 / x2 - x1)

2. Use the graph. Take two points and count the rise over the run.

Answer:

96

Step-by-step explanation:

Mode is the number that appears most often

96 appears twice and is the only numbers that appears more than once

96 is the mode

Answer:

5

Step-by-step explanation:

3.14159265

Answer:

5

Step-by-step explanation:

3.14159265

5 is the 8th decimal point of π

Answer:

x = 29

Step-by-step explanation:

Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.

Therefore:

m<CAB = m<CDE = 74°

m<ABC = 2x (given)

m<BCA = 48° (given)

Thus:

m<CAB + m<ABC + m<BCA = 180° (sum of triangle)

Substitute

74 + 2x + 48 = 180

Add like terms

2x + 122 = 180

2x + 122 - 122 = 180 - 122

2x = 58

2x/2 = 58/2

x = 29

Answer:

0 < N <= 200

700 < C <= 2700

Step-by-step explanation:

see my answer to the other very similar question with the sugar transport for the details of the reasons.

Domain is the valid interval of the input variable of the function.

Range is the interval of possible result or functional values of the function.

again, are negative values useful for the number of produced books ? no.

is 0 a useful value for the number of produced books ? no. it would mean running the machines empty. does not make sense.

for the max. costs caused by producing 200 books :

10×200 + 700 = 2000 + 700 = 2700

Answer:

x = 5

Step-by-step explanation:

Your goal is to isolate x

3x + 7 = 22

Subtract 7 from both sides and you are left with

3x = 15

In order to isolate x divide both sides by 3

x = 5

Answer: You left out half the question so

Step-by-step explanation:

if you're looking for chance of x houses having a tv, then .6^x is your formula,

if you're looking for chance of x houses not having a tv, then .4^x will find it

Both formulas only apply if you're looking at specific homes, since your question is incomplete I can only guess at what your answer should be.

Answer:

36 pages

Step-by-step explanation:

If one third of the book is left to read until completion, then Yanni has read two thirds of the book so far.

24 pages is equal to two thirds, so one third will be half of this; 12 pages.

The whole book is three thirds, so 12 * 3, which is 36 pages

Answer:

di gun0ifulgwuytid5

Step-by-step explanation:

DJ e57

Answer:

x=7

Step-by-step explanation:

ln(x+6)-ln(2x-1)=0

add ln(2x-1) to each side

ln(x+6) = ln(2x-1)

Raise each side to the base e

e^ln(x+6) = e^ln(2x-1)

x+6 = 2x-1

Subtract x from each side

x+6-x = 2x-1-x

6 = x-1

Add 1 to each side

6+1 = x-1+1

7=x

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]

[tex]\sf ln(x+6)-ln(2x-1)=0\\\\\tt ln(x+6)=ln(2x-1)\\\\ \sf e^{ln(x+6)}=e^{ln(2x-1)}\\\\ \tt x+6=2x-1\\\\\sf 2x-1=6+1\\\\\bold x=7[/tex]

Answer:

The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.

Step-by-step explanation:

We can immediately see the top system has one solution because the two equations have different slopes.

For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.

Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.

Answer:

2

y = -0.5x + 10.5

Step-by-step explanation:

put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular

2

y = -0.5x + 10.5

Answer:

12 m²

Step-by-step explanation:

Area of the floor:

area = length * width

area = 4 m * 5 m

area = 20 m²

area of carpet = 60% of area of the floor

area of carpet = 0.6 * 20 m²

area of carpet = 12 m²

Answer:

[tex]y=2\sqrt{2}[/tex]

Step-by-step explanation:

The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),

[tex]a^2+b^2=c^2[/tex]

Substitute,

[tex](1)^2+(y)^2=(3)^2[/tex]

Simplify,

[tex](1)^2+(y)^2=(3)^2[/tex]

[tex]1+y^2=9[/tex]

Inverse operations,

[tex]1+y^2=9[/tex]

[tex]y^2=8[/tex]

[tex]y=\sqrt{8}[/tex]

Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: ([tex]\sqrt{a*a}=a[/tex]),

[tex]y=\sqrt{8}[/tex]

[tex]8=2*2*2[/tex]

[tex]y=\sqrt{8}[/tex]

[tex]y=\sqrt{2*2*2}[/tex]

[tex]y=2\sqrt{2}[/tex]

[tex] \sf \: Volume \: is \: calculated \: in \: cubic \: units \: ( {units}^{3} ) \: \\ \sf \: because \: we \: use \: volume \: to \\ \sf \: measure \: the \: space \: enclosed \: by \: \: 3 \: dimensional \: (3-D) \\ \sf \: figures \: like \: cuboid, \: cube, \: cylinder \: etc.[/tex]

Answer:

Step-by-step explanation:

Answer:

A, Certificate of Deposit

Step-by-step explanation:

Just got it right on Gradpoint

Answer:

No.

Step-by-step explanation:

Given that :

Maximum accepted Ramp slope = 1/12

A new ramp with :

Height range = 5 feets

Horizontal stretch = 50 feets

Th slope = Rise / Run = Height range / horizontal stretch = 5 / 50 = 1 / 10

1 / 10 > 1 / 12

This means the new ramp's slope is greater than than the maximum slope specification ; and hence not acceptable

Answer:

you will type your answers and send

Answer:

Step-by-step explanation:

⅔-2/5 = 4/15

Answer:

[tex]{ \tt{( {x}^{4})(3 {x}^{3} - 2)(4 {x}^{2} + 5x) }} \\ = { \tt{( {x}^{4})( {12x}^{6} + 15 {x}^{4} - 8 {x}^{2} - 10x) }} \\ = { \tt{( {12x}^{24} + {15x}^{16} - {8x}^{8} - {10x}^{5} ) }}[/tex]

Answer:

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

[tex](3x^{3} -2)(4x^{2} +5x)[/tex]

[tex]12x^5+15x^4-8x^2-10x[/tex]

[tex]\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)[/tex]

[tex]=12x^9+15x^8-8x^6-10x^5[/tex]

Therefore, A is your answer

~~OAmalOHopeO

Answer:

he worked 8 hours

Step-by-step explanation:

104= 8 x 6 + 7x

104= 48 + 7x

56= 7x

x=8

104 - 48= 56

56/7

Answer:

Equation - 7h + 8t = $104

Hours Worked = 8

Step-by-step explanation:

First, let's create an equation!

7h + 8t = $104 (Our variables are h = # of hours, and t = # of tables)

Now, we have to input what we know! We know that Allen worked 6 tables.

7h + 8(6) = $104

and finally we can solve this equation!

7h + 48 = $104

     -48     -48

7h = 56

÷7    ÷7

h = 8

In conclusion, Allen worked 8 hours!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

1333

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is

pi + pe + k = 13.5

Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so

pe = pi + 9

And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was

kiwis = (pi + 9) - 2 which simplifies down to pi + 7.

Now we'll put all of those into the equation:

pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:

1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:

1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:

2.3pi = 6.9 so

pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:

pe = pi + 9 so

pears = 12. Now we go back to the expression for kiwis:

k = pi + 7 so

kiwis = 10. And there you go!

Answer:

Step-by-step explanation:

If you add all of the numbers up, you get 100. Dances are colored purple, and that is 20. 20/100 simplified is 1/5. 1/5 is equivalent to 2/10. Therefore, the answer is 2 shaded squares out of 10 squares.

9514 1404 393

Answer:

  the first is two points; the second is the interval between (and including) those two points

Step-by-step explanation:

The equation ...

  4 = |x +5|

has two solutions:

  x ∈ {-9, -1}

__

In the interval between those two solutions the absolute value expression is less than 4. So, the second expression has a solution that is a range of values. Those values are in the interval whose boundaries are -9 and -1.

  x ∈ [-9, -1]

__

The solution to the second expression can be found as ...

  4 ≥ |x +5|

  4 ≥ x+5 ≥ -4 . . . . express as a compound inequality

  -1 ≥ x ≥ -9 . . . . . . subtract 5

__

The attached graph shows the two solutions. The solution to the first equation is the pair of (black) lines, x=-9 and x=-1. The solution to the second equation is the (orange) shaded interval -9 ≤ x ≤ -1.

Answer:

x=10

Step-by-step explanation:

[tex]\frac{3}{3}[/tex]=[tex]\frac{x+3}{13}[/tex]

Solve by cross multiplying

13×3=39

3(x+3)=3x+9

3x+9=39

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

Assuming that the triangles are similar to each other, you can set up ratios

[tex]\frac{3}{3}=\frac{13}{x+3}[/tex]

since 3/3 is 1 and we know that anything other than 0 over itself is 1, we can deduce that x=10