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If f(x) = x³+ 3x² + 4x + 5 and g(x) = 5, then g (f(x)) =_? ​

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Call the two offers offer A and B respectively.

For offer A, the list price is 5000 pesos with a 15% discount. So you will pay:

For offer B, the list price is 5200 with a 20% discount. So you will pay:

So the first deal is costing 4250 pesos and second one costs 4160 pesos.

Hence the second deal is better by 4250-4160= 90 pesos.

The second deal is the better deal by 90 pesos.

In evaluating the expression 8+ 9/4 (-2) Jenny found the volume to be 25/2. The mistake she made was

volume = 8 1/4.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

8+ 9/4 (-2) = ?

Hence we solve

(8 – 2) + (9/4 - 0)

6+9/4

The number four is the Least Common Multiple (LCM) of the number one. Multiply each fraction's numerator and denominator by whichever number will result in the denominator of each fraction being equal to the LCM, and then subtract that value from 1.

Subtract the numerators now that the fractions have the same denominators.

9 - 0/4 = 9/4

As we convert to whole numbers we have

9/4 = 2 1/4

Hence

=6 +2(1/4)

=8 1/4.

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Step-by-step explanation:

a)

[tex]f(x+h) = 2(x+h)-9[/tex]

[tex]f(x+h)=2x+2h-9[/tex]

b)

[tex]f(x+h)-f(x)=2x+2h-9-(2x-9)[/tex]

[tex]f(x+h)-f(x)=2x+2h-9-2x+9[/tex]

[tex]f(x+h)-f(x)=2h[/tex]

c)

[tex]f(x+h)-f(x)h=2x+2h-9-h(2x-9)[/tex]

[tex]f(x+h)-f(x)h=2x+2h-9-2hx+9h[/tex]

[tex]f(x+h)-f(x)h=-2hx+11h+2x-9[/tex]

x = 110

Angle 4 is a vertical angle to the 115 degrees angle. Therefore, it must be the same in degree measure. So, we know angle 4 is 115 degrees.

Additionally, angle 4 and angle (x+5) are co-interior angles. This means that they should add up to 180 degrees.

Applying these concepts, we can create an equation:

115 + (x+5) = 180.

When we solve, we end up with x = 110

A physics concept called frequency describes how many cycles a wave completes each second. As a result, the following expression is used to get the lower note's frequency [tex]\frac{2}{3}[/tex] f

A wave is a phenomena that moves through a physical medium without leaving any lasting impression on the molecules therein. Energy is transferred from one end of the medium to the other. Sound waves, light waves, electromagnetic waves, etc. are some examples.

Frequency develops during wave propagation. This can be characterized as the number of cycles a wave makes in a second. It's also measured in Hertz.

Let f stand for the upper note's frequency and for the lower note's frequency we have [tex]f_{1}[/tex]. We therefore have;

[tex]f_{1}[/tex] =[tex]f\frac{2}{3}[/tex]

Therefore, the expression for the frequency of the lower notes is [tex]\frac{2}{3}[/tex] f.

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1. A conditional statement can be written as

The hypothesis is: It is sunny

The conclusion is: there is daylight

2. The converse of the conditional statement

3. The inverse of the conditional statement

4. The contrapositive of the conditional statement

5. The biconditional statement and can be written because the statement and the converse are both true

6. The biconditional statement is

A conditional statement is a term used in logic that refers to the type of statement that has "if-then". It is sometimes called if-then statements. Conditional statement are of two parts the hypothesis required to ensure that the conclusion. Other forms of conditional statements are

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Answer:

===========================

Step-by-step explanation:

the area function for the square pool itself is

A(x) = x² ft²

the area function for the pool and its sidewalk is

A(x) = (x + 6)² = x² + 12x + 36 ft²

simply because in this case the side length of the square is x+3+3 ft long (3ft added on both edges).

Answer: 68/9 which simplifies into 7 6/9

Solving a linear equation we will see that there are 47 worms in the container

We know that the mass of the container is 225 grams, and the mass of each worm is 11.2 grams.

Then if there are x worms on the containers, the total mass is:

M(x) = 225g + x*11.2g

In this case, we know that the total mass is 751.4 grams, then we can write:

751.4 g = 225g + x*11.2g

Solving this linear equation we get:

751.4g - 225g = x*11.2g

526.4g = x*11.2g

526.4g/11.2g = x = 47

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Answer:

8,081,101,531

Step-by-step explanation:

8,081,101,531

a. A function rule is a representation of dependent variable, here n, in terms of the independent variable, here P, and is expressed as ƒ(P) = 1.5n.

b. This type of reason is useful because functions in an equation can take input from many variables, but always give the same result, which is unique to that function.

The connection between the input or domain and the output or range is called a function rule. When there is exactly one value in the range for each domain value, a relation is a function.

f(x), where x is the input value, is how functions are expressed.

All functions have the general form y = f(x)

On any part of the function, a vertical line is drawn. It is a function if and only if it crosses the function at that single point. It is not a function if the line crosses itself more than once.

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The pressure is 672 pounds per square foot at a depth of 10.5 feet.

When a force is delivered to an object's surface perpendicularly to the region across which it is applied, the force is known as pressure (symbol: p or P).

a. The given formula is is P=64d

or , d = P ÷ 64

b. at a pressure of 672

d = 672  ÷ 64

or, d = 10.5 feet

Hence the water pressure on the submerged object is given by

d = P ÷ 64

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Given graph shown a function plotted.

The aim is to determine where the function is strictly decreasing.

The interval where the function is strictly decreasing is given by the union of intervals where the graph is descending from a point.

From the graph, it is clear that the function decreases from

and again from

Therefore, the intervals where the function is strictly decreasing is:

Answer:  My bill was 17 dollars.  I gave four tokens of equal monetary value to the cashier who gave me in return 3 one dollar bills.  How much was each token worth?  

Step-by-step explanation:  4x - 3 = 17.

                                             add 3 to both sides

                                             4x = 20

                                              x = 5.  Each token was worth $5.

The sketch of the given parametric equations is as appended.

Given parametric equations,

x(t) = 1+2t

y(t) = [tex]t^{2}[/tex]

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

For bounding range of -2 ≤ t ≤ 2, corresponding values of x are as follows,

x = 2t + 1

For t = -2, x = 2(-2) + 1 = -3

For t = 2, x = 2(2) + 1 = 5

Hence the graph has been drawn with bounding limits of -3 ≤ x ≤ 5

The outcome is a parabola with vertex at (1,0) and open upwards. The curve moves towards infinity in upwards direction if there are no bounds / range.

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Answer:

9495.221

Step-by-step explanation:

16000=Pe^(0.11x5)

Answer:

1. 0.30

2.4 over 20

3. x is greater than 1.5

4. 19.2

5. 468.11

Step-by-step explanation:

1) 1.4m = 0.42.

Divide both sides by 1.4

1.4m/1.4 = 0.42/1.4

m = 0.30

2) 13/20=j+9/20

Flip equation

j + 9/20 = 13/20

Substract 9/20 from both sides

j + 9/20 - 9/20 = 13/20 - 9/20

j = 13 - 9/20

j = 4/20

3) x − 1.3 = 1.5?

Add 1.3 to both sides

x - 1.3 + 1.3 = 1.5 + 1.3

x = 2.8

So, x is greater than 1.5

4) x/6 + 0.4 =3 + 0.6

Substract 0.4 from both sides

x/6 + 0.4 - 0.4 = 3 + 0.6 -0.4

x/6 = 3 + 0.2

x/6 = 3.2

Multiply both sides by 6

x/6 • 6 = 3.2 • 6

x = 19.2

5) k − 173.54 = 294.57.

Add 173.54 to both sides

k - 173.54 + 173.54 = 294.57 + 173.54

k = 468.11

The value of m from the given equation is 0.3.

The given equation is 1.4m = 0.42.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

1) 1.4m = 0.42

⇒ m = 0.42/1.4

⇒ m = 0.3

2) 13/20 = j+9/20

⇒ j = 13/20 - 9/20

⇒ j = 4/20

⇒ j = 1/5

3) x - 1.3 = 1.5

⇒ x = 1.5 + 1.3

⇒ x = 2.8

4) x/6 + 4/10 = 3 + 6/10

⇒ x/6+0.4=3.6

⇒ x/6 = 3.2

⇒ x = 19.2

5) k − 173.54 = 294.57

⇒ k = 294.57+173.54

⇒ k = 468.11

Therefore, the value of m from the given equation is 0.3.

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The location of the point B on the line with the endpoints is 63

On the segment, we have the following endpoints

A = -3

C = 8

Rewrite the endpoints of the line segment as

A = (-3,0) and C = (8,0)

The ratio of the line is given as

Ratio, A : B = 1 :5

This means that

Point C = A/A + B

So, we have

C = 1/1 + 5

Evaluate

C = 1/6

The coordinate of point C on the line segment is calculated using

Point C = C * (B - A) + A

So, we have

8 = 1/6 * (B + 3) - 3

This gives

1/6 * (B + 3) = 11

So, we have

B + 3 = 66

Subtract 3

B = 63

Hence, the coordinate of the point B on the line segment is  63

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Possible question

if point c divides a directed line segment from point A to point B in a 1 : 5 ratio, what are the coordinates of point B?

A = -3  and C = 8

For this question, we recall the point-slope form of the equation of a line:

and the slope-intercept form:

Therefore for the given data, the point-slope form is:

and the slope-intercept form is:

Answer:

[tex]\frac{51}{4}[/tex]

Step-by-step explanation:

Since they are similar we can set up direct proportions

FE:CB=DE:AB

y:6=17:8

[tex]\frac{y}{6} =\frac{17}{8}[/tex]

cross multiply

8y=17*6

divide by 8 each side

[tex]\frac{51}{4}[/tex]

Answer:

0.25 Months =7.6099 Days= 7 Days, 14 Hours, 38 Minutes and 19 Seconds

In Spanish

0.25 Meses =7.6099 Días= 7 Días, 14 Horas, 38 Minutos y 19 Segundos

The sequence has its 15th term to be 268435456

From the question, the given parameters are

1, -4, 16

The above sequence is a geometric sequence, with the following parameters

Evaluate the quotient

So, we have

r = -4

The nth term of a geometric sequence is

Tn = a * r^(n-1)

Where

a = 1 and r = -4

Also, we have n = 15

Substitute a = 1 and r = -4 in the equation Tn = a * r^(n-1)

So, we have

Tn = 1 * (-4)^(n-1)

Substitute 15 for n

Tn = 1 * (-4)^(15-1)

Evaluate

Tn = 268435456

Hence, the 15th term of this sequence is 268435456

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Answer:

d

Step-by-step explanation:

becuase you multiply leght times width then multiply height so it turns out to be

6x6=36

36x6=180

Ive attached it on this photo. ur welcome :)

Answer:

Step-by-step explanation:

All we simply need to do is to apply the law of indices that states;

Hence;

The correct option is