Identify the transformations of the graph of f(x) = x3 that produce the graph of the given function
g(x). Then graph g(x) on the same coordinate plane as the graph of f(x) by applying the
transformations to the reference points (-1,-1),(0,0), and (1,1).

Answer:

78

Correct term:60

Step-by-step explanation:

We are given that

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]4x^3+6x^2+18x+78+\frac{183}{x-3}[/tex]

We have to find the term in this expression  which contains an error.

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]=4x^3+6x^2+18x+60[/tex]

[tex]Dividend=Divisor\times quotient+ remainder[/tex]

Using the formula

[tex]4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}[/tex]

We can see that in the given expression there is 60 in place of 78.

The error in the expression of quotient is 78.

Correct term is 60.

Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

      [tex]=\frac{13}{36}[/tex]

      [tex]=0.36111[/tex]

[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]

[tex]\theta \approx 21.17[/tex]

[tex]\theta \approx 21^{\circ}[/tex]

Therefore, measure of the unknown angle is 21°.

Solution :

Trigonometric angles :

The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.

Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.

Answer:

triangle EFD

Step-by-step explanation:

Answer:

The equation is:

y=5x-2

Answer:

write -3+6^x

Step-by-step explanation:

ur answer is true actually just don't write 'y='

Answer:

c

Step-by-step explanation:

107 x 3.778 x 125/100 = 4.735 x 1-7

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

12.496

Step-by-step explanation:

a=10 (first term)

r= 1/5 (common ratio)

sum of first five terms

[tex] s_{5} = \frac{a( 1 - {r}^{n} ) }{1- r} [/tex]

=10{1-⅕⁵} ÷ 1-⅕

=10{1 - 1/3125} ÷ 4/5

=10{3124/3125} ÷ 4/5

=9.9968÷0.8

=12.496.

OR

a+ar+ar²+ar³+ar⁴

=10+(10x⅕)+(10x⅕²)+(10x⅕³)+(10x⅕⁴)

=10+2+0.4+0.08+0.016

=12+0.48+0.016

=12.496

Answer:

7

Step-by-step explanation:

The part timer works 5 hours a day

the difference between the part timer and fill time is 2

5+2=7

Answer:

x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Step-by-step explanation:

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

x

The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

so, we get,

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

Hence, The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3.

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Answer:

k = 9

Step-by-step explanation:

Given

[tex]1= x^2 - 6x[/tex]

Required

The perfect number

The coefficient c of x in the above equation is:

[tex]c = -6[/tex]

Divide by 2

[tex]c/2 = -3[/tex]

Square both sides

[tex](c/2)^2 = 9[/tex]

Hence, the constant to add is:

[tex]k = 9[/tex]

Answer:

X =30

Step-by-step explanation:

= 60+90

=150

angle sum property

x+150=180

x=180- 150

x= 30

Answer:

Step-by-step explanation:

90 + 60 = 150

(right angles = 90)

There is 180 degrees in a triangle, therefore,

180 - 150 = 30

Therefore, x = 30

p.s. Are you good at history?

p.p.s I dont like summer school either =)

Answer:

it must be yes!

Step-by-step explanation:

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.

The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x₂, y₂)

Point b = (2, 26) = (x₁, y₁)

Calculating the gradient or slope :

Rate of change = (y₂ - y₁) / (x₂ - x₁)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

Rate= 13 dollars per hour

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Complete question

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ

Step-by-step explanation:

Range = -4= g(x)

Therefore, g(x) = -3x+2

or, -4=3x +2

or, 3x= -4-2

or, 3x= -6

or, x= -6/3 = -2

OPTION A is the correct answer.

When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To find the domain value when the range value is -4 for the function

g(x) = -3x + 2, we need to solve for x when g(x) = -4.

Given: g(x) = -3x + 2

When the range value is -4, we have:

-3x + 2 = -4

Now, isolate x:

-3x = -4 - 2

-3x = -6

Now, divide by -3 to solve for x:

x = -6 / -3

x = 2

So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

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Answer:

your closest number should be A

Answer:

A.√99

Step-by-step explanation:

10^2 = 100

Or vise versa √100 = 10

The closest number to 100 is 99

So √99 is closest to 10

Answer:

72 ml

Step-by-step explanation:

Let

x = amount of water that should be added

45% acid solution = 45/100 = 0.45

25% acid solution = 25/100 = 0.25

The equation is

90(0.45) = 0.25(x + 90)

40.5 = 0.25x + 22.5

40.5 - 22.5 = 0.25x

18 = 0.25x

Divide both sides by 0.25

x = 18/0.25

= 72

x = 72 ml

here's the answer to your question

Answer:

4%

Step-by-step explanation:

Yearly salary = 9600 * 12 = Rs. 115200

Tax = Rs . 4530

[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]

                    = 3.93 = 4%

Answer:

E. is not a polynomial

Step-by-step explanation:

Because the degree of x is 2/5 which is not a polynomial.

Answer:

hmmm....

I don't think any of them are ????

[tex]\sqrt{2} = 2 ^{1/2}[/tex] that is a exponent that is a fraction ......

it appears that all the answers have fractional exponents, negative exponents, or divide by a variable??

Step-by-step explanation:

Polynomials cannot contain division by a variable.

For example, 2y2+7x/4 is a polynomial because 4 is not a variable. However, 2y2+7x/(1+x) is not a polynomial as it contains division by a variable.

Polynomials cannot contain negative exponents.

You cannot have 2y-2+7x-4. Negative exponents are a form of division by a variable (to make the negative exponent positive, you have to divide.) For example, x-3 is the same thing as 1/x3.

Polynomials cannot contain fractional exponents.

Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials.

Answer:

A) 6 square inches.

Step-by-step explanation:

A(Triangle) = 1/2bh

b = base length

h = height length

A(Triangle) = 1/2(4)(3) = 6

Therefore, the area of the triangle is 6 in².

Answer:

l = 14.6 m

b = 53.4 m

Step-by-step explanation:

Let breadth be x

Let lenght be 4x-5

so,

perimeter = 2(l+b)

136 = 2(4x-5+x)

or, 136 = 2(5x-5)

or, 136 = 10x - 10

or, 136 + 10 = 10x

or, 146 = 10x

or, x = 146/10

so, x = 14.6 m

so, breadth(x) = 14.6

so, lenght = 4x - 5

= (4×14.6)-5r

= 53.4m

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Answer:

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Step-by-step explanation:

f(x) = 1/(x+5) -1

y =  1/(x+5) -1

Exchange x and y and solve for y

x =  1/(y+5) -1

x+1 = 1/(y+5)

Multiply by (y+5)

(x+1) (y+5) = 1

Divide by (x+1)

y+5 = 1/(x+1)

Subtract 5

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Answer:

D

Step-by-step explanation:

(5√2 - 4√3)^2 =

50 + 48 - 40√6 = 98 - 40√6