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Which pair of functions are inverses of each other?
5
O A. f(x) = -2 and g(x) = +2
B. f(x) = 7x-2 and g(x) = 2
C. f(x) =x/5+ 6 and g(x) = 5x - y
D. f(x) = 3+ 6 and g(x) = 6x³

Answer:

X = 7 and -35.6666

Step-by-step explanation:

Given : f(x) = 6x - 2 and g(x) = 2x + 4 .

Need To Find : Functions : (I). (f+g)(x) &, (II). (f-g)(x) .

ㅤ(I) (f+g)(x)

[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:+\:g\: \big)\:x\: \:\\\sf\quad\dashrightarrow \:f \big(x \big)\:+\:g \big(x \big)\:\:\\\sf\quad\dashrightarrow \: \big(6x-2 \big)\:+\: \big(2x+4 \big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:+\:2x+4\:\:\\\pmb{\sf\quad\dashrightarrow \:8x \: +\: 2\:}\:\\[/tex]

ㅤ(I) (f-g)(x)

[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:-\:g\:\big)\:x\: \:\\\sf\quad\dashrightarrow \:f\big(x\big)\:-\:g\big(x\big)\:\:\\\sf\quad\dashrightarrow \:\big(6x-2\big)\:-\:\big(2x+4\big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:-\:2x-4\:\:\\\pmb{\sf\quad\dashrightarrow \:4x \: -\: 6\:}\:\\[/tex]

The number that produces a rational answer when added to 0.85 is; 193/180

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Now, let us convert 0.85 to a fraction. Thus;

0.85 = 85/100 = 17/20

From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;

17/20 + 2/9 = 193/180

193/180 is a rational number.

The missing options are;

A. 2/9

B. 0.2645751311...

C. √2

D.

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Answer:

The answer is (0.5, 0)

Step-by-step explanation:

Answer:

the term that best describes 3 is a coefficient because a

Step-by-step explanation:

Coefficient is a number that is being multiplied by the variable.

assuming is simple interest

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$960\\ P=\textit{original amount deposited}\dotfill & \$3840\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years \end{cases} \\\\\\ 960 = (3840)(0.05)(t)\implies \cfrac{960}{(3840)(0.05)}=t\implies 5=t[/tex]

Answer:

$ 65.59 more per week

Step-by-step explanation:

Assuming she worked 52 weeks a year as a clerk :

30534     -     52 * 521.6  =  $ 3410.80 more per year

   now   each WEEK that is  3410.80 / 52 = 65.59

Answer:

When there are numbers like that next to the radical it means multiply. like this: 2√9. You would first figure out the square root. Square root of 9 is 3. 2 times 3 is 6.

After you figure out those problems, you just need to put the number, x, and y in an equation with 2 unknowns.

Step-by-step explanation:

Answer:

When there are numbers like that next to the radical it means multiply. like this: 2√9. You would first figure out the square root. Square root of 9 is 3. 2times 3 is 6.

Step-by-step explanation:

well that's Economics not Mathematics

Answer:

254.5 cm²

Step-by-step explanation:

area = πr²

area = 3.14159 × (9 cm)²

area = 254.5 cm²

The number of slugs in the garden 3 days from now is 119

The function is given as:

Po = 100

[tex]P_{t+1} = 1.06P_t[/tex]

When t = 0, we have:

[tex]P_{0+1} = 1.06P_0[/tex]

[tex]P_1 = 1.06 * 100\\[/tex]

[tex]P_1 =106[/tex]

When t = 1, we have:

[tex]P_2 = 1.06 * 106[/tex]

[tex]P_2 = 112.36[/tex]

When t = 2, we have:

[tex]P_3 = 1.06 * 112.36[/tex]

[tex]P_3 = 119.1016[/tex]

Approximate

[tex]P_3 = 119[/tex]

Hence, the number of slugs in the garden 3 days from now is 119

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[tex]~~~~~~~3(x-2) +2(x +1) = 10\\\\\implies 3x -6 + 2x+2 = 10\\\\\implies 5x -4 = 10\\\\\implies 5x = 10+4\\\\\implies 5x = 14 \\\\ \implies x = \dfrac{14}5 \\\\ \implies x = 2.8[/tex]

[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Solve:}}}}}}[/tex]

[tex] \sf \red{3(x - 2) + 2(x + 1) = 10}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

First we gonna multiply (x - 2) with 3 and then again (x + 1) with 2.

[tex]3(x - 2) + 2(x + 1) = 10 \\ \\ \implies \: 3x - 6 + 2x + 2 = 10 \\ \\ \implies \: 5x - 4 = 10 \\ \\ \implies \: 5x = 10 + 4 \\ \\ \implies5x = 14 \\ \\ \implies \: x = \frac{14}{5} \\ \\ \implies \: x = 2.8[/tex]

[tex] \boxed{ \frak \pink{Have \: a \: Splendid \: Day}}[/tex]

[tex] \boxed{ \frak \green{Be \: Brainly}}[/tex]

[tex]\text{Given that,}~\\\\f(x) =a^x\\\\\text{L.H.S}\\\\=f(m+n+p)\\\\=a^{m+n+p}\\\\\text{R.H.S}\\\\=f(m) \cdot f(n) \cdot f(p)\\\\=a^m \cdot a^n \cdot a^p\\\\=a^{m+n+p}\\\\ \text{L.H.S} = \text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

h=8.0

Step-by-step explanation:

law of sines

sinA/a=sinB/b

b/a=sinB/sinA

b = a times sinB/sinA

b = 10 times sin53/sin90

on a calculator type sin53 in degrees

b = 10 times 0.7986/1

b = 7.986

Answer:

(-4, -6)

Step-by-step explanation:

(x,y) = ((x1+x2)/2 , (y1+y2)/2)

[substitute the values given]

(x,y) = ((-4+-4)/2 , (-4+-8)/2)

[solve]

(x,y) = (-8/2 , -12/2)

[simplify]

(x,y) = (-4, -6)

THE ANSWER IS (-4, -6) HOPE IT HALP'S MARK IT AS BRAILY.

Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

She bought one more pound of peaches than pounds of tomatoes, hence:

x = y + 1.

y = x - 1.

She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:

x = 3z.

y = x - 1 = 3z - 1.

She spent a total of $80, hence considering the cost per pound of each product we have that:

6x + 3y + 10z = 80.

Considering the values of x and y as function of z and replacing in the equation, we have that:

6(3z) + 3(3z - 1) + 10z = 80

18z + 9z - 3 + 10z = 80.

37z = 83.

z = 83/37

z = 2.24.

Then:

x = 3z = 3 x 2.24 = 6.72.

y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.

Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.

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7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms

yum!

Given the dimensions of the composite figure, formed by two concentric circles, we conclude that the radius of the smaller circle is approximately 3.728 centimeters.

In this situation we have a composite figure formed by two concentric circles, whose area ratio is presented below, in which the area is directly proportional to the square of radius:

[tex]\frac{A'}{A} = \frac{(R-r)^{2}}{r^{2}}[/tex]

2 · r² = (9-r)²

2 · r² = 81 - 18 · r + r²

r² + 18 · r - 81 = 0

The roots of the second order polynomial are r₁ = -9 + 9√2 and r₂ = -9 - 9√2. As radius is a non-negative number, the only root that is reasonable is r₁ = -9 + 9√2 (r₁ ≈ 3.728).

Given the dimensions of the composite figure, formed by two concentric circles, we conclude that the radius of the smaller circle is approximately 3.728 centimeters.

The image is missing and is thus included in the figure attached below.

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Answer:

x4 = 8

Step-by-step explanation:

To find the mean, add the values and divide by the number of values.

mean = (x1 + x2 + x3 + x4)/4

(3 + 12 + 7 + x4)/4 = 8

x4 + 22 = 32

x4 = 10

Answer:

x4 = 8

Step-by-step explanation:

What completes the proof are:

1. LC ≅ CU; CU ≅ UK

2. Given

3. Unequal angle theorem (Aa → Ss)

The unequal angle theorem states that the longer side of a triangle will always be directly opposite the largest angle measure. This implies that, if an angle that is opposite a side is greater than another another, the side it is opposite will also be longer than the side opposite the other angle (Aa → Ss).

From the image given, statement 1 was given as well as statement 2.

Statement 1 would be: LC ≅ CU; CU ≅ UK.

The reason for statement 2 will also be "given".

Then, UL > CK using the unequal angle theorem (Aa → Ss).

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The valid solution for the positive demand is (6,3)

The equation of the function is given as:

[tex]C(t) = -\sqrt{t^2 - 4t - 12} + 3[/tex]

Next, we test the options::

Option (a): (t, C(t)) = (2,3)

This gives

[tex]-\sqrt{2^2 - 4*2 - 12} + 3 = 3[/tex]

Evaluate the radicand

[tex]-\sqrt{-16} + 3 = 3[/tex] ---- this is not true (square root of -16 is a complex number)

Option (b): (t, C(t)) = (6,3)

This gives

[tex]-\sqrt{6^2 - 4*6 - 12} + 3 = 3[/tex]

Evaluate the radicand

[tex]-\sqrt{0} + 3 = 3[/tex]

Evaluate the root

0 + 3 = 3

Evaluate the sum

3 = 3 ---- this is true

Hence, the valid solution for the positive demand is (6,3)

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Answer:

[tex]\ln 4 -2 \ln x +5 \ln y[/tex]

Step-by-step explanation:

[tex]\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y[/tex]

Answer: Answer B

Step-by-step explanation: Let's begin

Answer: B in 4 - 2 in x + 5 in y

Answer:

60:31

Step-by-step explanation:

Answer:

A. A reflection over the y-axis and then a rotation 90 degree clockwise about the origin.

Step-by-step explanation:

Given information: Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.

A sequence of transformations to produce the same results could be the opposite of this, wherein Figure H undergoes a series of transformations to form Figure G.

#6

Sum of exterior angles of any polygon=360°

sides=6

Measure of one angle

Option D

#7

4ft=1cm

and

Dimensions are 8cm and 15cm

Option B

Answer:

6.  d.  m∠YXZ = 60°

7.  b.  8 cm x 15 cm

Step-by-step explanation:

Question 6

∠YXZ is the exterior angle of a regular polygon

Exterior angle of a regular polygon = 360° ÷ number of sides

⇒ ∠YXZ = 360° ÷ 6

⇒ ∠YXZ = 60°

Question 7

Scale  1 cm : 4 ft

Therefore, to convert actual dimensions in feet to sketch dimensions in centimeters, divide dimensions in feet by 4:

⇒ width = 32 ft

⇒ width = 32 ÷ 4 = 8 cm

⇒ length = 60 ft

⇒ length = 60 ÷ 4 = 15 cm

Therefore, the dimensions of the sketch are 8 cm x 15 cm

Answer:

C

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² = 40² + 9² = 1600 + 81 = 1681 ( take square root of both sides )

x = [tex]\sqrt{1681}[/tex] = 41

The range that is appropriate to use to represent the numerical data is 0.0 to 26.0.

A line graph is a graph that is used to represent numerical data. It shows the changes in the data with the passage of time. There are two axes on a line graph, the vertical axis and the horizontal axis. The range of the vertical axis should start from 0 and end at the largest number of data set.

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Answer:

$43.33

Step-by-step explanation:

50.37/119 = ?/100

cross multiply,

? = 43.3277

Give brainliest, please!

Hope this helps :)

Answer:

Answer:11

Step-by-Step Answer:

When we multiply 11 with 1\2 then thier answer will be 11\2

Unit conversion is a way of converting some common units into another without changing their real value. The value of (3π/4) radian converted to a degree is 135°.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since π radian is equal to 180°. Therefore, the value of (3π/4) radian is equal to,

1 radian = 180°/π

(3π/4) radian = (3π/4) × (180°/π) = 135°

Hence, the value of (3π/4) radian converted to a degree is 135°.

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Answer:

option 2

Step-by-step explanation:

Answer: infinity

the answer should be infinity since the number 7 will have to be multiplied with itself 2018 times.

hope that helps....