A number consists of three digits, 9,5 and another. If these digits are reversed and then subtracted from
the original number, an answer will be obtained consisting of the same digits arranged in a different order
still. What is the other digit?

Answer:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

Step-by-step explanation:

We want to find the linear function given that:

[tex]f^{-1}(2) = -1\text{ and } f^{-1} (-9) = 3[/tex]

Recall that by the definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b\text{ then } f^{-1}(b) = a[/tex]

In other words, f(-1) = 2 and f(3) = -9.

This yields two points: (-1, 2) and (3, -9).

Find the slope of the linear function:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(-9) - (2)}{(3) -(-1)} = -\frac{11}{4}[/tex]

From point-slope form:

[tex]\displaystyle y - (2) = -\frac{11}{4}( x- (-1))[/tex]

Hence:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

We can simplify if desired:

[tex]\displaystyle f(x) = -\frac{11}{4}x -\frac{3}{4}[/tex]

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.

1:

7/9+6 = 7/15

2:

8+6/3 = 14/3

3:

[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]

Then take that in chunks: 7/14 and 15/3.

7/14 = 1/2

15/3 = 5/1

Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].

1/5 = .2

2/3 ≈ .6667 so we'll keep writing it as 2/3

[tex]\frac{\frac{.2}{2}}{3}[/tex]

.2/2 = .1, so:

[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]

Answer:30

Step-by-step explanation:

Answer:

Jaya is 13 years old.

Step-by-step explanation:

Let's assume Jaya's age to be x years old.

Jaya's mothers age is (3*x)+5.

3x+5=44

3x=39

x=13.

Answer:

15) n+19<42

16) 3n-16 (less or equal) 8

17) n/2 > n-6

18) 6n-5<2n

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

x^2/(x + 5) = 25/(x+5)      Subtract the right side from both sides.

x^2/(x + 5) - 25/(x + 5) = 0

x^2 - 25

=======   = 0

x + 5

(x + 5)(x - 5)

============= = 0

(x + 5)

Cancel x + 5 in the numerator and denominator.

x - 5 = 0

x = + 5

Does it check?

x^2/(x + 5) = 25/(x + 5)

x = 5

5^2/(10) = 25/10

25/10 = 25/10 Yes it checks.

Answer:-1,4

Step-by-step explanation:

Answer:

-11 - z

(-11) - (-11)

= 0

I hope I have helped.

Step-by-step explanation:

[tex]w = x^4\sin(y^4z^3)[/tex]

The differential [tex]dw[/tex] is

[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]

Answer:

AC = 15

Step-by-step explanation:

AC is the entire line split into two segments; AB and BC

We are given that AB = 8 and BC = 2x + 25 so we can combine these two and set them equal to AC ( = x + 24)

x + 24 = 8 + 2x + 25

Combine like terms and isolate x

x + 24 = 2x + 33

-9 = x

Now plug in -9 for x in the equation for line AC

(-9) + 24 = 15

You are falling by [tex]32[/tex],

[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]

In general your sequence is defined as,

[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].

The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].

If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].

If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].

The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].

Hope this helps :)

Given Data : Length = (7p - 10q) and Breadth = (2p - 9q)

Calculation :

⟹ Perimeter = 2(Length + Breadth)

⟹ Perimeter = 2(7p - 10q + 2p - 9q)

⟹ Perimeter = 2(9p - 19q)

⟹ Perimeter = 18p - 38q centimetres

The required perimeter of the rectangle is 18p - 38q centimeters.

It is required to find the required perimeter of the rectangle.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

width of a rectangle = (2p - 9q) centimeters,

length measures= (7p - 10q) centimeters.

We know that

⟹ Perimeter = 2(Length + Breadth)

By put the value width and length in perimeter we get,

⟹ Perimeter = 2(7p - 10q + 2p - 9q)

⟹ Perimeter = 2(9p - 19q)

⟹ Perimeter = 18p - 38q centimeters

Therefore, the required perimeter of the rectangle is 18p - 38q centimeters.

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It's likely that curve A is f and curve B is f '.

The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.

The total distance of the race is D = 96 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let's denote the total distance of the race as "d" miles.

According to the given information, Mark ran half the distance and swam a quarter of the distance. This can be expressed as:

Distance Mark ran = d/2 miles

Distance Mark swam = d/4 miles

After Mark's quick break, he was just starting to bike the remaining 24 miles. Since he has already completed running and swimming, the total distance he has covered at that point is:

And this distance is equal to 24 miles, as given in the problem:

d/2 + d/4 + 24 = d

On simplifying the equation , we get

( 3/4 )d + 24 = d

Subtracting ( 3/4 )d on both sides , we get

( 1/4 )d = 24

Multiply by 4 on both sides , we get

d = 96 miles

Hence , the total distance of the race, denoted by "d", is 96 miles

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Answer:

57

Step-by-step explanation:

Bi weekly means you get paid every 2 weeks so you would get two paychecks per month.

Monthly net pay = 489.00 x 2 = $968.00

Multiply monthly by 15%

968 x 0.15 = $146.70

Answer: $146.70

If Your average bi-weekly net pay is $489.00. Your average monthly net pay is:$146.70.

First step

Monthly net pay=$489.00×2

Monthly net pay=$968

Second step

Average monthly net pay:

Average monthly net pay=$968×15%

Average monthly net pay=$146.70

Therefore your average monthly net pay is:$146.70.

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There are 4 elements in the set A* B

The sets are given as:

A={5,8}

B={p,q}

C={r,v}

The expression A * B implies that:

A * B = n(A) * n(B)

Where n( ) implies that the number of elements in......

So, we have

A * B = 2 * 2

This is so because sets A and B have 2 elements each

Evaluate the product

A * B = 4

Hence, there are 4 elements in the set A* B

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Answer:

Its 0.55

Step-by-step explanation:

I just took the test

Hi ;-)

Calculate

[tex]6-(-11)=6+11=\boxed{17}[/tex]

Answer:

17

Step-by-step explanation:

6-(-11)

Subtracting a negative is like adding

6+11

17

Step-by-step explanation:

if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.

And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34

AC=2y-6

therefore

34=2y-6

28=2y and y=14

Answer:

Step-by-step explanation:

Step-by-step explanation:

2t/r=d cross multiply

2t=rd

t=rd/2

Answer:

-1

Step-by-step explanation:

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

|-1| = 1

=> f(-1) = 2(1) - 3

=> f(-1) = 2 - 3

=> f(-1) = -1

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

correct me if wrong

thanks! :)

Answer:

Step-by-step explanation:

Either way works. It comes to the same thing.

(2x-5)(x+1)=9

F: 2x*x = 2x^2

O: 2x*1 = 2x

I: -5 * x = -5x

L: -5*1 = -5

2x^2 + 2x - 5x - 5 = 9    Subtract 9 from both sides

2x^2 - 3x - 14 =0            Divide by 2 (it makes life easier).

Factoring you get

(2x - 7)(x + 2)

2x - 7 = 0

2x = 7

x = 3.5

x + 2 = 0

x = -2

The x intercepts = (3.5,0) and (-2,0)

I've put a graph up for the given equation.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

88°

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Setting Up An Equation...}}\\\\a + 92 = 180\\----------\\ a - \text{Unknown angle measure.}\\----------\\\rightarrow a + 92 - 92 = 180 - 92\\\\\rightarrow \boxed{ a = 88}[/tex]

⸻⸻⸻⸻

The unknown angle measurement should be 88°.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.

Answer:



Step-by-step explanation:

Ans:15 lb

A 90-pound person will weigh 15lb as we weigh six times less on the moon than the earth. So to find out simply divide 90 by 6.

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)

  78x -13 = 70x +35 . . . . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . . . . . . . divide by 8

Answer:

Answer is 1/6

Step-by-step explanation:

[tex] {36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ \\ = \frac{1}{ \sqrt{36} } \\ \\ = \frac{1}{6} [/tex]