For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).

Answer:

53/6

Step-by-step explanation:

Answer:

31.25

Step-by-step explanation:

25/12=2.083333

15 x 2.0833333=31.24999999995

round up to get 31.25

The height of the sail on his real boat is 20 feet.

We require the height of the sail on the real boat, H.

Let h be the height of sail on the model boat = 12 inches, B = base of sail on the real boat = 25 feet and b = base of sail on model boat = 15 inches.

By similar triangles,

H/h = B/b

H = Bh/b

Substituting the values of the variables into the equation, we have

H = Bh/b

H = 25 feet × 12 inches/15 inches

H = 25 feet × 4/5

H = 5 feet × 4

H = 20 feet

So, the height of the sail on his real boat is 20 feet.

Learn more about height of a sail here:

https://brainly.com/question/890397

The value of the fraction is 6/5

What is an Equation?

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 number be = A

Now , the equation is expressed as

A = ( 2/15 ) x 9

On simplifying the equation , we get

A = 18/15

Dividing by 3 on the numerator and denominator , we get

A = 6/5

Therefore , the fraction in simplest form is 6/5

Hence , The value of the fraction is 6/5

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

a) [tex]3c^2-11c+12[/tex]

b) 3 terms in simplified expression

c) 3 is leading coefficient

d) 2 is the degree of simplified expression

Step-by-step explanation:

We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]

a) What did you need to distribute to the second polynomial to rewrite?

We need to multiply - sign with the terms inside the bracket.

Perform subtraction. Then, answer:

[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]

b) How many terms in the simplified expression?

There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]

c) What is the leading coefficient of the simplified expression?

The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3

d) What is the degree of the simplified expression?

The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2

Answer:

4 x 10⁵

so that i think will be OD)

Answer:

7.1x−6.1

Step-by-step explanation:

Distribute:

=(3.1)(x)+(3.1)(1)+(4)(x)+(4)(−2.3)

=3.1x+3.1+4x+−9.2

Combine Like Terms:

=3.1x+3.1+4x+−9.2

=(3.1x+4x)+(3.1+−9.2)

=7.1x+−6.1

Answer:

7.1x - 6.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y-intercept is 3.

I know this because when x is 0 that is where the y-intercept is :)

Answer:

It is D (-23, -7, 5, 9, 190)

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

m∠2 ≅ m∠7 [Alternate exterior angles]

m∠7 + m∠8 = 180° [Linear pair theorem]

m∠2 + m∠8 = 180° [Substitution property]

∠2 and ∠8 are supplementary [Definition of supplementary angles]

Answer:

-4.5

Step-by-step explanation:

The number line represents the expression -4.5 + (-3.5) which equals -8 and it is given below.

We have,

To represent the expression -4.5 + (-3.5) on a number line model, start by placing a point at -4.5 on the number line.

Then, we move to the left by a distance of 3.5 units, representing the addition of -3.5.

Now,

-4.5 + (-3.5) = -8

The representation of the expression -4.5 + (-3.5) on a number line is given below.

Thus,

The number line represents the expression -4.5 + (-3.5) which equals -8.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ4

Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.

When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.

For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.

Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.

It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ5

Answer: 8 groups is the largest number of groups he can make

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

¯\_(ツ)_/¯

The direction of f(x) = 4x² + 10x + 12 is in upward direction.

y intercept of the f(x) is (0,, 12).

And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i  and  -5/4 - (√23 / 4)i.

What is function?

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given function is,

f(x) = 4x² + 10x + 12.

The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.

To find y intercept of the function,

Substitute x = 0, in the function,

f(x) = y = 4 (0)² + 10 (0) + 12

y = 12

The y intercept of the function is (0, 12).

To find the number of zeros, Substitute f(x) = 0,

Implies that,

4x² + 10x + 12 = 0

The values of x for the given quadratic equation are,

x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i

The number of zeros is two at -5/4 + (√23 / 4)i  and  -5/4 - (√23 / 4)i.

To know more about Function on:

https://brainly.com/question/2411204

#SPJ2

Answer:

x=6

Step-by-step explanation:

Step-by-step explanation:

As this path will be nearly circular which gives us that the distance between the earth and the moon acts as the radius for that respective circular path. ... Hence, the circumference of the path described by the moon in one complete revolution is 2,41,152 km.

Step-by-step explanation:

Due to travelling faster than light, dark matter has a higher than usual mass in relation to its resting mass, thus accounting for the large 'missing' mass around galaxies. ... Dark matter is therefore non-baryonic, travelling faster than light and has a mass half that of a photon.

mark upper one as brainliest

.....

so hope u understood

.....s

Due to travelling faster than light, dark matter has a higher than usual mass in relation to its resting mass, thus accounting for the large 'missing' mass around galaxies. ... Dark matter is therefore non-baryonic, travelling faster than light and has a mass half th

...djs

jwjwat of a photon.

bts army forever

❤❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤❤✌❤✌✌✌✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤✌❤

Answer:

$235.2

Step-by-step explanation:

$210 * (100%+12%)

= $210 * 112%

= $210 * 1.12

= $235.2

Hope this helped!

Answer:

The final answer is $470.40.

Step-by-step explanation:

210 x 2 = $420

To find the final price including tax, we must find 12% of $420.

420 x 0.12 = $50.4

Now, we must finalize the price by adding the tax to the price without tax.

$420 + $50.4 = $470.40

Therefore, the final cost for the hotel room is $470.40.

Hope this helps you out! :)

Answer:

5x-9

Step-by-step explanation:

If Bill has 9 coins less then 5 times Nancy's coins, the number of his coins is 5x-9.

Answer:

Inequalities involving the symbol '>' or '<' are called strict inequalities.

Step-by-step explanation:

Hope this helped!

nearest is 3.2 that is with whole bumber

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \cot(teetha) = - 1[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The cotangent in simplest form is -1.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

cos θ = √2 / 2

We know that from trigonometric ratio,

[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]

So, the adjacent side = √2 and the hypotenuse side = 2.

The other side of the right triangle can be found by Pythagoras theorem,

[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]

⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]

⇒ [tex]opposite^{2} = 4-2[/tex]

⇒ [tex]opposite = \sqrt{2}[/tex]

Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]

⇒ [tex]cot \theta = 1[/tex]

Since cot θ < 0, [tex]cot \theta = - 1[/tex]

Hence we can conclude that the cotangent in simplest form is -1.

Learn more about trigonometry here

https://brainly.com/question/16965914

#SPJ2

Answer:

The answer and work is both located in the screenshot provided!

Step-by-step explanation:

Hoped this helped!

Answer:

Step-by-step explanation:

Factors of 36 = 1 2 3 4 6 9 12 18 36

the Prime Factors of 36 are: 2, 2, 3, 3.

This is the answer

Answer:

36 = 2*2*3*3

or

2^2 * 3^2

Step-by-step explanation:

Break 36 into prime factors

36 = 6*6  

Since 6 isn't a prime number, factor 6

36 = 2*3   * 2*3

2 and 3 are prime numbers

In order from smallest to largest

36 = 2*2*3*3

or as exponents

36 = 2^2 * 3^2

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

Liam ate 6/10, so 2/10 more.

Answer:

liam ate more . he ate 1/5 parts more

Answer:

Step-by-step explanation:

reflection over y-axis

Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.

We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.

A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:

180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.

Therefore, it is a possible transformation that carries the rhombus onto itself.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

8

Step-by-step explanation:

The given number 480 divided by 60 equals 8.

The division process involves successive subtraction of the divisor from the dividend until the remainder becomes less than the divisor.

To 480 divided by 60, to perform this division by dividing 480 by 60, resulting in a quotient of 8.

Division is an arithmetic operation that separates a number into equal groups, in this case, 480 is divided into 60 groups of equal size, and each group contains 8 items.

Dividing 480 by 60 can also be represented as 480 ÷ 60 = 8.

Hence, divide the given number 480 by 60 is equal to 8.

Learn more about Divided here:

https://brainly.com/question/15381501

#SPJ6

1b think

I am not sure