The function f(x) = x + 21 is one-to-one.
a. Find an equation for f1(x), the inverse function.
b. Verify that your equation is correct by showing that f(f(x)) = x and f¯¹ (f(x)) = x.

Answer:

x = 10

Step-by-step explanation:

rewrite this equation with x on the left and numbers on the right

2x - 3x = 5 - 15

-x = -10

x=10

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The value of x is x = 10

To solve a first degree equation, first: we add or subtract like terms. Finally, we split the terms of both equalities.

- In this equation, we're going to subtract the like terms -- and on the other side of the equation, we're going to also subtract the real terms.

15 + 2x = 5 + 3x

2x - 3x = 5 - 10

-1x = -10

x = 10

So, the correct value is x = 10

For the given linear system equations, the value for the variables are: x=-2, y=4, and z=-5 - Option C.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives:

2x+y-5z=4 (1)

x+3y+z=5  (2)

3x-y-4z=-11 (3)

First, you should sum equations 1 and 2. The results will be:

3x+4y-4z=9 then you have a new equation (4).

3x-y-4z=-11 (3)

3x+4y-4z= 9(4)

Now, you should multiply equation (3) by -1, then you will have:

-3x+y+4z=+11 (3)

3x+4y-4z=9 (4)

After that, you should sum the previous equations: (3) and (4).

5y=20

y=4

For find z, you should multiply equation 2 by -2. After that, you should sum equations 1 and 2.

2x+y-5z=4 (1)

-2x-6y-2z=-10  (2)

Thus, you will have:

-5y-7z=-6, like y=4 you have

-5*4-7z=-6

-20-7z=-6

-7z=14

z=-2

If z=-2 and y=4 from equation 2, you can find x.

x+3y+z=5

x+3*4-2=5

x+12-2=5

x+10=5

x=5-10

x=-5

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[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]

Answer:

11.25

Step-by-step explanation:

6 3/4 + 4 1/2

The equation of the line about which the quadrilateral is reflected will be y = x.

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection is given will be

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

First, draw the line on the graph. Then reflect each vertex of quadrilateral across the line to produce quadrilateral.

Vertex Preimage Coordinates                  Vertex Image Coordinates

          A (-3,-2)                                                           A' (-2,-3)

          B (-2,-1)                                                            B' (-1,-2)

          C (-1,-2)                                                            C' (-2,-1)

          D (-1,-4)                                                            D' (-4,-1)

The diagram is given below.

More about the reflection of the point link is given below.

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So

Hence

Option A

Answer:

Option A

Step-by-step explanation:

y=4x+10

So

Put x ax 12°C

Hence

y=4(12)+10

y=48+10

y=58

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

From the factors above, it is clear that 7 and y are the greatest common factors.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

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Factor out

So

Now factor up

Option B

Answer:

I have no clue, cant lie to you. God Bless you though.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I am good at math

Answer:

1120π grams

==> 3518.58 grams  using value of π = 3.14159 or

==> 3520 grams using value of π = 22/7

Step-by-step explanation:

Volume of a cylinder = πr²l where r is the radius of the base and h is the length of cylinder

The diameter of the cylinder, d = 8cm and radius = d/2 = 4cm

Length = 1 meter = 100 cm

Here, volume V = π.4².100 =  π x 16 x 100 = 1600π cm³

Since 1 cm³ has a mass of 0.7gm total mass
M = 0.7V = (0.7)1600π =1120π gm

Using the ratio 22/7 for pi we get
M =  1120 x 22/7  = 3520 g

If we use the more accurate value of π as 3.14159 then we get
M = 1120 x 3.14.159 = 3518.58 g which is more accurate

[tex] \frac{1}{ \sqrt{1 - {(x - 1)}^{2} } } [/tex]

Check the picture below.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]

The surface area of this 3d character based off the illustration will be 289.

It should be noted that the surface area simply means the amount of space that covers the outside of a shape.

Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.

In this case, the area will be:

Length × Width

= 17 × 17

= 289

In conclusion, the surface area is 289.

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[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]

Answer: 10

Step-by-step explanation:

It appears that [tex]\overline{AC} \perp \overline{BC}[/tex], so to check if this is the case, we can use the slope formula.

[tex]m_{\overline{AC}}=\frac{3-1}{6-2}=\frac{1}{2}\\m_{\overline{BC}}=\frac{3-7}{6-4}=-2[/tex]

Since these slopes are negative reciprocals, we can see that this is the case. So, we can take [tex]\overline{AC}[/tex] as the base of the triangle and [tex]\overline{BC}[/tex] as the height of the triangle, and then use the formula [tex]A=\frac{1}{2}bh[/tex].

Using the distance formula,

[tex]AC=\sqrt{(6-2)^{2}+(3-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(4-6)^{2}+(7-3)^{2}}=\sqrt{4+16}=2\sqrt{5}[/tex]

So, the area is [tex]\frac{1}{2}(2\sqrt{5})(2\sqrt{5})=\boxed{10}[/tex]

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

Answer:

E. 22

Step-by-step explanation:

Hello!

We know that b>6, and we are asked to find the possible values for 3b + 3.

Let's directly substitute 6 for b:

Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.

The correct option is E. 22.

Answer:

your answer is option C

Step-by-step explanation:

hope you can understand

Answer:

The answer is indeed C, (x + 7)2 + (y − 6)2 = 50

Step-by-step explanation:

Got it right on edmentum/plato, the other guy is correct. Give him brainliest!

Answer:

angleEAF=angleBAC (शिर्षभिमुख कोण भएर)

10x+90+5x=180 (सरल कोण भएर)

or, 15x+90=180

or, 15x=180-90

or, 15x=90

or, x=90÷15

or, x=4

Answer:

x=6

Step-by-step explanation:

90°+5x+10x=180°

90°+15x=180°

15x=180°-90°

15x=90°

x=90/15

=6

10×6=60

5×6=30

60°+30°=90°

90°+90°=180°

x=6 QED

Answer:

Step-by-step explanation:

You will need to know the   gram weight per mole from the periodic table for the element  ( or the molecule of elements) in question.

Answer:

difference quotient

Step-by-step explanation:

Answer:

hope you can understand

The original volume of the gas was 9.0 liters.

Proportion is a mathematical expression of quantities in their rate form.

Analysis:

If 6 liters of the gas has a pressure of 4 atmosphere.

Then 1 atmosphere of the gas is 6/4 liters

Therefore 6 atmospheres = 6/4 x 6 = 9.0 liters

In conclusion, the Original volume of the gas was 9.0 liters

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Answer:

10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

√100+9

√109=10.4

the scale says that each unit (cm/km/in/...) on the map is 150,000 times that unit so:

14cm on the map

= 150,000×14cm

= 2,100,000 cm

= 2100 km

(= 2.1 Mm)

Answer: 30

Step-by-step explanation:

(Assuming the line is a tangent)

Answer:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

Step-by-step explanation: Also pls answer by question