4. Use the equations below to find the indicated values.
a. f(x) = 6x +5
i) f(2)=
b. g(x) = 3x
i) g(4) =
ii) f(-2) =
ii) g(0) =
iii) f(1/2) =
iii) g(-4)=

Point-slope: y - 9= -2(x - 2)

Slope-intercept form (Just in case you need it): y = -2x + 13

We will get  Ine⁴/8 after simplifying the given expression ln · e⁴/8.

So,

Given: ln · e⁴/8

Then,

Therefore, we will get  Ine⁴/8 after simplifying the given expression ln · e⁴/8.

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Answer:

x = 6

Step-by-step explanation:

Since ray DF bisects angle EDG, angles EDF and GDF are congruent. By reflexive property of congruence, ray DF is congruent to ray DF. Since all right angles are congruent, angles FED and FGD are congruent. By AAS, triangles FED and FGD are congruent. Since corresponding parts of congruent triangles are congruent, segments EF and GF are congruent, so 8x + 42 = 15x

7x = 42

x = 6

Answer:

9x²29x28 = 0

The answer is 211932=0

9x2 - 29x - 28 = 0

The answer is 29x=−10

Step-by-step explanation:

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{-12}{3 +1}\implies \cfrac{-12}{4}\implies -3[/tex]

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\textsf{\textbf{Rational} and \textbf{Irrational} numbers}[/tex]

[tex].\qquad\bullet\textsf{\textbf{Rational} numbers can be written in fraction form, p/q.}\\.\qquad\bullet\textsf{\textbf{Rationals} can be \textbf{terminating} fractions.}[/tex]

[tex]\therefore[/tex]

[tex].\qquad\bullet\textsf{\textbf{Irrational} numbers \textbf{cannot} be written \textbf{as fractions.}}[/tex]

[tex]\textsf{These are the \textbf{rationals:}}[/tex]

[tex]\boldsymbol{\dfrac{11}{3}}[/tex]

[tex]\boldsymbol{0.01045}[/tex]

[tex]\boldsymbol{\sqrt{\dfrac{16}{81}} }[/tex]

[tex]\boldsymbol{6.25}[/tex]

[tex]\boldsymbol{0.\overline{42}\Leftarrow it's\:a\:terminating\:fraction}[/tex]

[tex]\textsf{These are the \textbf{irrationals:}}[/tex]

[tex]\boldsymbol{\sqrt{48}}[/tex]

[tex]\boldsymbol{16\pi}[/tex]

[tex]\boldsymbol{\sqrt{\dfrac{3}{16}} }[/tex]

[tex]\textsf{We come to the conclusion that there are more rationals than irrationals. \ddot\smile}[/tex] [tex]\ddot\smile[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection\:-RoSe}}}}^\star_\star[/tex]

The solution of the given logarithmic equation is 16.189.

What are the various properties of the logarithm?

Out of several properties of logarithms, some of the main properties are given below:

Product Rule

log (ab) = log a + log b

Change of base

log ₇ x = log x / log 7

Power Rule

log a² = 2 log a

Quotient Rule

log (a / b) = log a - log b

Solving the given equation log₇(2x - 3)² = 2

We are given a logarithmic expression: log₇(2x - 3)² = 2

Using properties of the logarithm, we have

log (2x - 3)² / log 7 = 2

log (2x - 3)² = 2 × log 7

2 log (2x - 3) = 1.6901

log (2x - 3) = 3.3802

Using exponential on both sides,

e^[log (2x - 3)] = e^(3.3802)

2x - 3 = 29.3766

2x = 32.3766

x = 16.189

Hence, the solution of the given equation is 16.189.

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If water's temperature increases 7°C each minute from an initial temperature of 21°C. Then the time taken by the water to reach 49 degree Celsius is 4 minutes.

Temperature defines the atmosphere hotness. And it is expressed in different scales as well as in different parameters like Celsius etc. It is measured through the device known as thermometer.

According to the question, larger amount of sodium chloride is dissolved in the heating water. And the given data states that the water temperature increases 7 degree Celsius every minute.

Initial temperature of water is 21 degree Celsius.

Let us assume, water reaches at 49° C after 'x' minutes.

As per question, every minute temperature increases as 7°C. So, the expression can be written as: (21 + 7x)°C

⇒ 21 + 7x = 49

⇒x = 4 minutes

Hence, the time taken to reach 49° C is 4 minutes.

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To find how many centimeters greater the length of the larger paper is than the length of the smaller paper, the lesser number of centimeters needs to be subtracted from the greater number of centimeters which gives the result that is 17.9cm. Etsuko is incorrect because 25.4 is greater than 7.5cm.

The mathematical operation that would be used to determine how much greater the larger paper is compared to the smaller paper is subtraction. Subtraction is the process used to determine the difference between two or more numbers. The sign that is used to represent subtraction is -.

To subtract the numbers, the length of the longer paper would be subtracted from the shorter paper.

Difference in the length of the papers = 25.4 -  7.5 = 17.9cm

Etsuko is wrong because instead of subtracting the lengths, she added the lengths. Addition is used to determine the sum of two or more numbers.

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Answer:

It's easy,

To find how many centimeters greater the length of the larger paper is than the length of the smaller paper, the lesser number of centimeters needs to be subtracted from the greater number of centimeters, which gives a result that is between 7.5 and 25.4. Etsuko is not correct because 25.4 cm is 17.9 cm more than 7.5 cm.

Step-by-step explanation:

*Wish you luck on the test*

The required factorized expression is given as 3x²y + 12xy² + 3xy = 3xy(x + 4y + 3).

An incomplete equation is given we have to determine the missing terms.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
The given equation,
_x²y +_y² + 9_ = 3x_(_+ 4y + _).
So, factorized expression is given as 3x²y + 12xy² + 3xy = 3xy(x + 4y + 3).

Thus, yhe required factorized  expression is given as 3x²y + 12xy² + 3xy = 3xy(x + 4y + 3).

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Step-by-step explanation:

what is it you need help in?

What happens to the value of this expression 5/x + 5 as x decreases from a large positive number to a small positive number is that: A. It increases.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number. As a general rule, the smaller the divisor (denominator) of an expression, the larger would be the quotient.

Evaluating the given expression, we have:

When x = 3;

5/3 + 5 = 6.7

When x = 2;

5/2 + 5 = 7.5.

When x = 3;

5/1 + 5 = 10.

In conclusion, as x decreases from a large positive number to a small positive number in this expression 5/x + 5, its value would increase.

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Complete Question:

What happens to the value of the expression 5/x + 5 as x decreases from a large positive number to a small positive number? Choose 1 answer:

A. It increases.

B. It decreases.

C. It stays the same.

the measure of angle A is 96° when A and B are vertical angles.

We are given the two vertical angles as:

A = (4x − 4)° and B = (5x – 29)°

We know that, vertical angles are equal to each other.

So, we get that:

4 x - 4 = 5 x - 29

5 x - 4 x = 29 - 4

x = 25

A = 4 x - 4

A = 4 ( 25 ) - 4

A = 100 - 4

A = 96°

Therefore, the measure of angle A is 96° when A and B are vertical angles.

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Answer:

Stefan

Step-by-step explanation:

Stefan

After solving the equation 1.1+ln x²=6, the value of x is equal to  [tex]\sqrt{e^{4.9}}[/tex]

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

We have been asked to find x in 1.1+ln x²=6

⇒ 1.1+ln x²=6

⇒ ln x² = 6 - 1.1

⇒ ln x² = 4.9

⇒ x² = [tex]e^{4.9}[/tex]

⇒ x  =  [tex]\sqrt{e^{4.9}}[/tex]

Thus,  x =  [tex]\sqrt{e^{4.9}}[/tex] in 1.1+ln x²=6

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The fraction expression (17)/(2)g - (9)/(2)h is not the same as (9)/(2)h-(17)/(2)g.

We are given the fraction expression;

(17/2)g - (9/2)h

Now, the fraction (17/2) is greater than (9/2) and as such the result of the subtraction of the fractions will be positive.

Now, if we change the order of the subtraction to be;

(9/2)h - (17/2)g

This means that the result will now be negative since (9/2) is less than (17/2).

Thus, we can conclude that the expression (17)/(2)g - (9)/(2)h is not the same as (9)/(2)h-(17)/(2)g.

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The question focuses on indices. Start by factorization of 162 and 32. Simplifying 32 yields 2^5 and 162 gives 3^4×2. Simplify the two expressions using the factors. Use the indices rule implying: b√a^c =a^(c⁄b)

∜162+3∜32

162= 81×2=3^4 ×2

32 = 2^5 = 2^4 ×2

∜(2×3^4 )+3∜(2^4×2)=∜(3^4 ) ∜2+3∜2^4 ∜2

3^(4⁄4)× ∜2+3×2^(4⁄4)×∜2 = 3×∜2+3×2∜2

3∜2+6∜2 = ∜2×(3+6) = 9∜2

= 9∜2  

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Answer:

She will actually do it on the 35th day of gym

Answer:

24

Step-by-step explanation:

the angle should be the same on the other side so wouldn't it be 120 divided by 5 which is 24. I could def be wrong tho sorry hun

The coordinate of the resulting point J' is (-4, -4).

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the Coordinates.

The point is given as;

⇒ J (4, -4)

Now, The rule of the reflection of a point across the y-axis is equal to

(x, y) ⇒ (-x, y)

Hence, The coordinate of the resulting point J' after reflection over the y - axis of point J (4, -4) is,

(4, -4) ⇒ (-4, -4)

Hence, The coordinate of the resulting point J' is (-4, -4).

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The slopes of the linear function f(x) = 4x-1  is 4 and of the given linear function g(x)  has  also slope 4 . The option that the slopes of f(x) and g(x) are same is correct.

The slope of a linear function is the measure of steepness of the line traced by given linear function.

If a linear function is given by line y = mx +c then the slope is m

If a linear function passes through two given points (x₁, y₁) and (x₂, y₂), then its slope is (y₂ - y₁)/(x₂ - x₁)

Given the function f(x) = 4x -1 then comparing it to the form f(x) = mx + c

Slope of f(x) = m = 4

If it is given that g(x) is increasing through (2,3) and (3,7)

Then the slope of g(x) = (7- 3)/(3-2) = 4/1 = 4

Therefore, Slopes of both f(x) ang g(x) is 4.

Thus, the slopes of f(x) and g(x) are the same.

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Answer:

The answer is they are the same. Just took the test Your welcome!

Step-by-step explanation:

It will take Germaine to get the mountain bike 6.77 weeks (approximately)

let X represent the number of weeks it will take to save enough money

Money to buy a mountain bike = $367

He planned to save money every week from his paycheck  = $45

So far, He had saved money already to buy bike = $62

now the required amount to buy a mountain bike is

$367-$62 = $305

Number of weeks Germaine will take to get the mountain bike is

X = 305/45

X = 6.77 weeks (approx)

It will take Germaine to get the mountain bike 6.77 weeks (approximately).

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Based on the fraction of students who take Spanish, and French and Mountain Ridge Middle School, the fraction of students who take Chinese are 3/40

To find the fraction of students who take Chinese, subtract the fraction of students who take Spanish and French from 1.

The number of students who take Chinese is therefore:

= 1 - 5/8 - 3/10

= 1 - 25/40 - 12 /40

= 3/40

The full question is:

All of the students at Mountain Ridge Middle School take a foreign language. 5/8 of the students take Spanish. 3/10 of the students take French. The remaining students take Chinese. What fraction of the students take Chinese?

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Answer:

Not Available

Step-by-step explanation:

Use the Venn diagram shown to list the set An C in roster form.

U

5

A 3

1

6

9

13

2

11

8

7

4

10

14

12

B

O A. (2, 3, 4, 6, 8, 9, 10, 11, 12, 13}

Answer:

I think the answer could be 7913.3

Step-by-step explanation:

The required amount of shipping paid by Mai is 8.

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Amount of shipping fee = 7.95

percentage of shipping fee = 6.25% of the total purchase

Total amount purchased = 128

Thus, amount of shipping for this purchase is given as,

Amount of shipping = 6.25% of 128

Solving,

Amount of shipping = 0.0625*128 = 8

Since the shop charges shipping fees of whichever is greater

and 7.95 < 8

Thus, amount of shipping paid by Mai = 8

Thus, the required amount of shipping paid by Mai is 8.

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The number of 12 pages written by Great in 3 hours.

For the given question;

Time take by Greta to write total of 8 pages is 2 hours.

Use unitary method for solving;

2 hours --------> 8 pages.

Divide both side by 2.

1 hour -------> 4 pages.

Now, fore finding the number of pages written in 3 hours.

Multiply each side by 3.

3 hours ---------> 12 pages.

Thus, the number of pages written by Great in 3 hours are 12 pages.

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Answer:

[tex]4^{12}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{4^{8} }{4^{-4} }[/tex] = [tex]4^{(8-(-4))}[/tex] = [tex]4^{(8+4)}[/tex] = [tex]4^{12}[/tex]