Put the following equation of a line into slope-intercept form, simplifying all fractions.
4x-3y=9

Answers

Answer 1

Answer:

y=4/3x+3

Step-by-step explanation:

we know that slope intercept form is y=mx+b, where m is the slope and b is the y intercept

for 4x-3y=9, we have to isolate y

we subtract 4x to both sides to get

-3y=-4x+9

to get y alone, we divide both sides by -3

y=4/3x+3

Answer 2

Answer:

Y=4/3x-3

Step-by-step explanation:

Y=4/3x-3

the other guy had the right idea but the two negatives make a positive!


Related Questions

I need help question 10 b and c

Answers

Part b.

In this case, we have the following function:

[tex]y=5(2.4)^x[/tex]

First, we need to solve for x. Then, by applying natural logarithm to both sides, we have

[tex]\log y=\log (5(2.4^x))[/tex]

By the properties of the logarithm, it yields

[tex]\log y=\log 5+x\log 2.4[/tex]

By moving log5 to the left hand side, we have

[tex]\begin{gathered} \log y-\log 5=x\log 2.4 \\ \text{which is equivalent to} \\ \log (\frac{y}{5})=x\log 2.4 \end{gathered}[/tex]

By moving log2.4 to the left hand side, we obtain

[tex]\begin{gathered} \frac{\log\frac{y}{5}}{\log2.4}=x \\ or\text{ equivalently,} \\ x=\frac{\log\frac{y}{5}}{\log2.4} \end{gathered}[/tex]

Therfore, the answer is

[tex]f^{-1}(y)=\frac{\log\frac{y}{5}}{\log2.4}[/tex]

Part C.

In this case, the given function is

[tex]y=\log _{10}(\frac{x}{17})[/tex]

and we need to solve x. Then, by raising both side to the power 10, we have

[tex]\begin{gathered} 10^y=10^{\log _{10}(\frac{x}{17})} \\ \text{which gives} \\ 10^y=\frac{x}{17} \end{gathered}[/tex]

By moving 17 to the left hand side, we get

[tex]\begin{gathered} 17\times10^y=x \\ or\text{ equivalently,} \\ x=17\times10^y \end{gathered}[/tex]

Therefore, the answer is

[tex]f^{-1}(y)=17\times10^y[/tex]

Real estate prices in a Denver neighborhood areNormally distributed with a mean price of $187,500 and astandard deviation of $12,500.ALDenver Neighborhood Real Estate Pricing

Answers

[tex]\begin{gathered} \text{Given} \\ \mu=187500 \\ \sigma=12500 \\ x_1=150000 \\ x_2=225000 \end{gathered}[/tex]

First, find the z-score of the two values $150,000 and $225,000

[tex]\begin{gathered} \text{z-score for }x_1 \\ z=\frac{x-\mu}{\sigma} \\ z=\frac{150000-187500}{12500} \\ z=\frac{-37500}{12500} \\ z_1=-3 \\ \; \\ \text{z-score for }x_2 \\ z=\frac{x-\mu}{\sigma} \\ z=\frac{225000-187500}{12500} \\ z=\frac{37500}{12500} \\ z_2=3 \end{gathered}[/tex]

Since the z-scores are both 3 standard deviations away from the mean, by Emperical rule, we conclude that about 99.7% of the homes will be priced between $150,000 and $225,000.

You have to write 1/2 page for an assignment. You write 1/5 page. How many pages do you have left to write ?

Answers

To find the number of missing pages:

[tex]\frac{1}{2}-\frac{1}{5}=[/tex]

rewriting the expression as homogeneous fractions:

[tex]\frac{1}{2}\times\frac{5}{5}-\frac{1}{5}\times\frac{2}{2}=[/tex]

simplifying it:

[tex]\frac{5}{10}-\frac{2}{10}=\frac{3}{10}[/tex]

ANSWER

you have left 3/10 page.

For Hox)=2x– 9 and 96 = ; « +9), find (10 g)(x) and (gof)(x). Then determine whether (f = 9/8)= (4 * H(X).What is (fog)x)?(10 g)x)=0

Answers

Given the functions;

[tex]\begin{gathered} f(x)=2x-9 \\ g(x)=\frac{1}{2}(x+9) \end{gathered}[/tex]

We want to find the composite functions;

[tex]undefined[/tex]

Wayne is hanging a string of lights 89 feet long around the three sides of his rectangular patio, which is adjacent to his house. The length of his patio, the side along the house, is 5 feet longer than twice its width. Find the length and width of the patio.

Answers

SOLUTION:

Case: Rectangles

Method:

The sum is:

w + w + 2w + 5 = 89

4w + 5 = 89

4w = 89 - 5

4w = 84

w = 84/ 4

w= 21 feet

The length, l

l = 2w + 5

l = 2( 21) + 5

l = 42 + 5

l = 47 feet

Final answer:

length of the patio, l = 47 feet

width of the patio, w= 21 feet

Please find the coordinates and graph the points on the graph and rotate the image.Please demonstrate the pre image and the rotated image on the graph after finding the coordinates.

Answers

We have that the general rule for a counterclockwise rotation of 270 degrees is given by the following expression:

[tex]R_{270}(x,y)=(y,-x)[/tex]

then, in this case,we have the following:

[tex]\begin{gathered} R_{270}(4,5)=(5,-4)=D^{\prime} \\ R_{270}(6,-2)=(-2,-6)=E^{\prime} \\ R_{270}(1,-2)=(-2,-1)=F^{\prime} \end{gathered}[/tex]

and the graph would look like this:

A pendulum swings through an angle of 14° each second. If the pendulum is 14 cm in length and the complete swing from right to left last two seconds what area is covered by each complete swing?

Answers

Answer;

[tex]\text{Area = 47.90 cm}^2[/tex]

Explanation;

Firstly, we need a diagrammatic representation to get what is described in the question.

We have this as follows;

Now, from what we have here, the total angle swept by the pendulum moving from left to right is 28 degrees

To get the area, we simply need to find the area of the sector formed by the by pendulum

Mathematically, we have the area of a sector calculated as follows;

[tex]A\text{ = }\frac{\theta}{360}\times\pi\times R^2[/tex]

theta is the angle made by the pendulum in one complete swing which is 28 degrees

pi is 22/7

R is the length of the pendulum which is 14 cm

Substituting these values in the formula above, we have it that;

[tex]\begin{gathered} A=\frac{28}{360}\times\frac{22}{7}\times14^2 \\ \\ A=47.90cm^2 \end{gathered}[/tex]

Use the graph to answer the question.Find the interval(s) over which the function is decreasing.A. (-infinity,-2)U(5,infinity)B. (-infinity,-2)U(-2,1)U(5,infinity)C.infinity,-2)U(-2,-1)U(-1,1)U(5,infinity )D. (1,5)

Answers

Okay, here we have this:

Considering the provided graph, and that a function is decreasing when as x increases, "y" decreases, we obtain the following:

The intervals over which the function is decreasing are:

(infinity,-2)U(-2,-1)U(-1,1)U(5,infinity )

Finally we obtain that the correct answer is the option C.

15. (09.03) Jim picked a card from a standard deck. What is the probability that Ilm picked a heart or an ace? (1 point) OI 52 O 2 52 O 16 52 O 17 52

Answers

The probability of picking a heart or an ace is 17/52

Here, we want to get the probability

The number of cards in a standard deck is 52 cards

Now, we need to know the number of hearts and the number of ace

There are 13 hearts, and 4 aces

The probability of picking a heart is;

[tex]\frac{13}{52}[/tex]

The probability of picking an ace is;

[tex]\frac{4}{52}[/tex]

The probability of picking an ace or a heart is the sum of both which is;

[tex]\frac{4}{52}+\frac{13}{52}\text{ = }\frac{17}{52}[/tex]

need help finding the exact value of sec pi/3

Answers

Solution:

Given:

[tex]sec(\frac{\pi}{3})[/tex]

To find the exact value,

Step 1: Apply the trigonometri identieties.

From the trigonometric identities,

[tex]sec\text{ }\theta\text{ =}\frac{1}{cos\theta}[/tex]

This implies that

[tex]sec(\frac{\pi}{3})=\frac{1}{\cos(\frac{\pi}{3})}[/tex]

Step 2: Evaluate the exact value.

[tex]\begin{gathered} since \\ \cos(\frac{\pi}{3})=\frac{1}{2}, \\ we\text{ have} \\ sec(\frac{\pi}{3})=\frac{1}{\cos(\pi\/3)}=\frac{1}{\frac{1}{2}}=2 \end{gathered}[/tex]

Hence, te exact value of

[tex]sec(\frac{\pi}{3})[/tex]

is evaluated to be 2

Could you help me with this problem?There are 7 acts in a talent show.A comedian, a guitarist, a magician, a pianist, a singer, a violinist, and a whistler.A talent show host randomly schedules the 7 acts.Compute the probability of each of the following events.Event A: The magician is first, the comedian is second, and the whistler is third.Event B: The first three acts are the guitarist, the pianist, and the singer, in any order.Write your answers as fractions in simplest form.

Answers

EXPLANATION

For the event B, the order of the first 3 acts doesn't matter.

So, the number of acts taken from the seven acts when the order doesn't matter is calculated using combinations.

[tex]C(m,n)=\frac{m!}{n!(m-n)!}[/tex][tex]C(7,3)=\frac{7!}{3!(7-3)!}=\frac{7!}{3!4!}[/tex]

Computing the factorials:

[tex]C(7,3)=\frac{5040}{6\cdot24}=\frac{5040}{144}=35[/tex]

Hence, the number of ways the three acts could be given are 1:C(7,3)

Therefore, the probability of the event B is:

[tex]P(B)=\frac{1}{35}[/tex]

For the event A, the order matters, so the difference between combinations and permutations is ordering. When the order matters we need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

[tex]P(m,n)=\frac{m!}{(m-n)!}[/tex][tex]P(m,n)=\frac{7!}{(7-3)!}=\frac{5040}{24}=210[/tex]

The number of ways the magician is first, the comedian is second and the whistler is third are 1:P(7,4)

Therefore, the probability of the event A is.

[tex]P(A)=\frac{1}{210}[/tex]

Help me due is tomorrow

Answers

Step-by-step explanation:

5.3g+9=2.3g+15

5.3g-2.3g=15-9

3g=6

3g/3=6/3

g=2

B,5.3(2)+9=2.3(2)+15

10.6+9=4.6+15

19.6=19.6

Answer:

g = 2

Step-by-step explanation:

5.3g + 9 = 2.3g + 15

Subtract 9 from both sides.

5.3g + 9 - 9 = 2.3g + 15 - 9

5.3g = 2.3g + 6

Subtract 2.3g from both sides

5.3g - 2.3g = 2.3g - 2.3g + 6

3g = 6

Divide both sides by 3

g = 2

To check if the value of g is correct, substitute the value of g in the equation above and remember that the both sides should be equal because of the equal sign (=) in the equation.

5.3g + 9 = 2.3g + 15

5.3(2) + 9 = 2.3(2) + 15

10.6 + 9 = 4.6 + 15

19.6 = 19.6

8. Factor ()=63−252++60 completely given that x=3 is a zero of p(x). Use only the techniques from the lecture on 3.3 (synthetic division). Other methods will receive a score of zero. Be sure to show all your work (including the synthetic division).

Answers

Factor the polynomial

[tex]\begin{gathered} p(x)=6x^3-25x^2+x+60 \\ \text{Given that, }x=3\text{ is a zero} \end{gathered}[/tex]

Using the synthetic division method to factorize the polynomial completely,

The resulting coefficients from the table are 6, -7, -20, 0

Thus the quotient is

[tex]6x^2-7x-20[/tex]

Factorizing the quotient completely,

[tex]\begin{gathered} 6x^2-7x-20 \\ =6x^2-15x+8x-20 \\ =3x(2x-5)+4(2x-5) \\ =(3x+4)(2x-5) \end{gathered}[/tex]

Therefore, the other two zeros of the polynomial are:

[tex]\begin{gathered} (3x+4)(2x-5)=0 \\ 3x+4=0 \\ x=-\frac{4}{3} \\ 2x-5=0 \\ x=\frac{5}{2} \\ \\ Therefore,t\text{he factors of the polynomial are:} \\ (x-3)(3x+4)(2x-5) \end{gathered}[/tex]

Yes or no to tell wether the fact the fraction is equivalent to this decimal __(4.05)_____________________________________Is the following fractions equal to the one decimal listed? 405/99401/9981/33802/198

Answers

802/198​ is equal to 4.0505

Business Mathematics question ​

Answers

Number system depends on two basic concepts are Binary and Decimal.

Given the statement is :
Number System depends on two basic concept.

Let's know the definition of number system:

What is Number System?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures. It also allows us to operate arithmetic operations like addition, subtraction, multiplication and division.

Hence, Number system depends on two basic concepts are Binary and Decimal.

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BUSINESS MATH calculate the state income tax owed on a 50,000 per year salary

Answers

Hello there. To solve this question, we have to remember some properties about income and taxes.

The following table shows the progressive tax rate for calculating individual income tax:

We want to calculate the state income tax owed on a $50,000 per year salary.

For this, notice this value is contained in the interval 17,001 and up, hence the progressive tax rate for this value is 5.75%.

In this case, the tax is simply given by the product between the value and the rate:

Don't forget to divide the percentage value by 100% before multiplying.

[tex]50000\cdot\dfrac{5.75}{100}=\$2,875[/tex]

This is the state income tax owed by one whose salary is $50,000 per year.

Bc your phone has to do so so many people don’t need make it to you so no matter how

PLS HELP ASAP
Clara and Toby are telemarketers.
Yesterday, Clara reached 4 people in 10 phone calls, while Toby reached 3 people in 8 phone calls.
If they continue at those rates, who will reach more people in 40 phone calls?
Use the drop-down menu to show your answer.

Answers

Clara will reach approximately 16 people in 40 phone calls while Toby will reach approximately 15 people in 40 phone calls.

Evaluate g(-3)Determine the coordinates of the point given by the answer aboveEvaluate g(2a)Step By Step Explanation Please

Answers

Given the quadratic equation:

[tex]g(x)=3x^2-5x+4[/tex]

Let's solve for the following:

• (a) g(-3)

To solve for g(-3), substitute -3 for x and evaluate.

Thus, we have:

[tex]\begin{gathered} g(x)=3x^2-5x+4 \\ \\ g(-3)=3(-3)^2-5(-3)+4 \\ \\ g(-3)=3(9)+15+4 \\ \\ g(-3)=27+15+4 \\ \\ g(-3)=46 \end{gathered}[/tex]

Hence, we have:

g(-3) = 46

• (b) To determine the coordinates of the point given in question (a).

In the function, g(x) can also be written as y.

Thus, from g(-3), we have the following:

x = -3

y = 46

When x = -3, the value of y = 46

In point form, we have the coordinates:

(x, y) ==> (-3, 46)

Therefore, the coordinates of the given point by the answer in (a) is:

(-3, 46)

• (c) Evaluate g(2a).

To evaluate g(2a), substitute 2a for x in the equation and evaluate.

Thus, we have:

[tex]\begin{gathered} g(x)=3x^2-5x+4 \\ \\ g(2a)=3(2a)^2-5(2a)+4 \\ \\ g(2a)=3(4a^2)-5(2a)+4 \\ \\ g(2a)=12a^2-10a+4 \end{gathered}[/tex]

ANSWERS:

• (a) g(-3) = 46

• (b) (-3, 46)

• (c) g(2a) = 12a² - 10a + 4

Segment RS is translated by (x+1, y-2) and then reflected over the x-axis. The resulting segment R" S" has coordinates R" (7,3) and
S" (2,7). What are the coordinates of the segment RS?

can someone pls help meee

Answers

The coordinates of segment RS are obtained as R(6, -1) and S(1, -5) for the given translation.

What is termed as the reflection over the axis?The line of reflection is the point at which the image satisfy the axis of reflection. There are two kinds of reflections: x-axis reflections and y-axis reflections. Vertical reflections are reflections that cross the x-axis. Horizontal reflections are reflections that cross the y-axis.

For the given question;

Segment RS is translated by (x+1, y-2).

Then, the image formed is again reflected over the x-axis to form R" S" has coordinates R" (7,3) and S" (2,7).

To find the measure of R and S, first find the x -axis reflection of R" S".

R" (7,3) = R'(7, -3)and S" (2,7) = S'(2, -7)

As,  RS was translated by (x+1, y-2).

Then, subtract 1 and add 2 to its coordinates.

R'(7, -3) = R (7 - 1, -3 + 2) = R(6, -1)S'(2, -7) = S(2- 1, -7 + 2 ) = S(1, -5)

Thus, the coordinates of segment RS are obtained as R(6, -1) and S(1, -5).

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Which of the following is not a valid way of starting the process of factoring60x² +84x +49?Choose the inappropriate beginning below.O A. (x )(60)OB. (2x (30%)O C. (6x X10x)OD. (2x (5x )

Answers

Given the equation:

60x^2 + 84x + 49

We are to determine among the options which is not a process of factorizing.

In factorizing, you get factors of the given numbers of the equation that when they are being multiplied or added, they give the numbers in the equation.

So, looking at the options, the only option that does not satisfies the requirement for starting a factorization process is B, which is (2x (30%)

Therefore, the inappropriate process of starting factorization among the option is option B which is (2x (30%).

ave read 14 pages in 28 minutes how much pages can she read for 50 minutes​

Answers

Answer:

Step-by-step explanation:

14x2=28

50 divided by 2 = 25 pages

14pages=28mins

page=2mins

so

pages =50/2

=25

PLEASE HELP ME!! a shoe company is going to close one of its two stores and combine all the inventory from both stores these polynomials represented the inventory in each store. which expression represents the combined inventory of the two stories?

Answers

Add the two expressions together;

[tex]\begin{gathered} (\frac{1}{2}g^2+\frac{7}{2})+(3g^2-\frac{4}{5}g+\frac{1}{4}) \\ =\frac{1}{2}g^2+3g^2-\frac{4}{5}g+\frac{7}{2}+\frac{1}{4} \\ =3\frac{1}{2}g^2-\frac{4}{5}g+(\frac{14+1}{4}) \\ =\frac{7}{2}g^2-\frac{4}{5}g+\frac{15}{4} \end{gathered}[/tex]

The first option is the correct answer

7x - 15 < 48. Elrich planted seeds from each of x different seed packets in his garden. To plant these seeds, he had to remove plants that were already in the garden. Taking into account the plants he removed and the seeds he planted, he expected to have (select) plants in the garden. From how many different seed packets did Elrich recently plant seeds?

Answers

Elrich planted 7 seeds from each of x different seed packets in his garden. To plant these seeds, he had to remove 15 plants. that were already in the garden. Taking into account the plants he removed and the seeds he planted, he expected to have less than equal to 48 plants in the garden.

The inequality :

[tex]7x-15\leq48[/tex]

Simplify for x:

[tex]7x-15\leq48[/tex]

The diamond method for factoring: Fill in the missing value

Answers

Consider a quadratic expression, let "m" and "n" represent the factors.

The diamond method of factoring is the following:

On the left of the diamond, there is one of the factors, for example, "m", of the right of the diamond you will find the other factor "n".

On the top of the diamond, you will find the product of both factors, on the bottom of the diamond you will find the sum of the factors.

Looking at the given diamond, you know the result of the product and the sum of both factors:

[tex]m*n=-15[/tex][tex]m+n=14[/tex]

Using these expressions, you can find both factors.

- First, write the second expression for one of the variables, for example, for "n"

[tex]\begin{gathered} m+n=14 \\ m=14-n \end{gathered}[/tex]

- Second, replace the expression obtained on the second equation:

[tex]\begin{gathered} m*n=-15 \\ (14-n)n=-15 \end{gathered}[/tex]

Distribute the multiplication

[tex]14n-n^2=-15[/tex]

Zero the expression and order the terms from greatest to least:

[tex]\begin{gathered} 14n-n^2+15=-15+15 \\ 14n-n^2+15=0 \\ -n^2+14n+15=0 \end{gathered}[/tex]

- Third, use the quadratic expression to determine the possible values of n:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Where

a is the coefficient of the quadratic term

b is the coefficient of the x-term

c is the constant

For the quadratic expression obtained, where "n" represents the x-variable.

[tex]-n^2+14n+15=0[/tex]

The coefficients are:

a= -1

b=14

c=15

[tex]\begin{gathered} x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ n=\frac{-14\pm\sqrt{14^2-4*(-1)*15}}{2*(-1)} \\ n=\frac{-14\pm\sqrt{196+60}}{-2} \\ n=\frac{-14\pm\sqrt{256}}{-2} \\ n=\frac{-14\pm16}{-2} \end{gathered}[/tex]

Solve the sum and difference separately to determine both possible values for "n"

→Sum:

[tex]\begin{gathered} n=\frac{-14+16}{-2} \\ n=\frac{2}{-2} \\ n=-1 \end{gathered}[/tex]

→Difference:

[tex]\begin{gathered} n=\frac{-14-16}{-2} \\ n=\frac{-30}{-2} \\ n=15 \end{gathered}[/tex]

- Finally, determine the possible value/s of m:

For n=-1

[tex]\begin{gathered} m+n=14 \\ m+(-1)=14 \\ m-1=14 \\ m=14+1 \\ m=15 \end{gathered}[/tex]

For n=15

[tex]\begin{gathered} m+n=14 \\ m+15=14 \\ m=14-15 \\ m=-1 \end{gathered}[/tex]

So, the factors are -1 and 15 and the diamond is:

PLEASE HELP! To prepare for a bike race, Rex rides his bike for 12 miles each day for 3 days. The app he uses only tracks distance in kilometers. If 1 mile = 1.61 kilometers, what is Rex's distance in kilometers? Round the answer to the nearest hundredth. 7.45 kilometers 19.32 kilometers 22.36 kilometers 57.96 kilometers

Answers

Based on the distance that Rex rode every day for three days, Rex's distance in 3 days in kilometers can be found to be 57.96 kilometers.

How to find the distance in miles?

First, find the distance that Rex rode in those three days in miles. This can be found as:

= Number of miles rode per day x Number of days

= 12 x 3

= 36 miles

Then convert this to kilometers.

If one mile is 1.61 kilometers, then 36 miles would be:

= Number of miles x Miles per kilometer

= 36 x 1.61

= 57.96 kilometers

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If Rex rides his bike for 12 miles each day for 3 days. Then distance in kilometers is 57.96.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

Speed=Distance / Time

Distance=Speed × Time.

Given that  Rex rides his bike for 12 miles each day for 3 days

and 1 mile = 1.61 kilometre.

Let us convert 12 miles to kilometres

12×1.61=19.32 km

Now let us calculate the Distance as the speed is 19.32km and time is 3 days.

By the formula to get distance we have to multiply speed and time.

Distance=19.32×3

=57.96

Hence Rex's distance in kilometers is 57.96.

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S = 2^0 + 2^1 + 2^2 + 2^3 + ...... 2^99a) Show that S can be divided by 15b) Show that S has at least 30 digits

Answers

Answer:

Explanation:

Here, we want to show that the sum is divided by 15

From what we have, the given sum is a geometric sequence

The first term is 1

Now, the pattern of ending afterwards will be 2, 4, 6 and 8

This ending keeps repeating itself

This 2,4,6,8 pattern could repeat itself 24 times

So we have a total of 1 + 24(4) = 97 terms

To make it 100, we have the last three terms as 2,4 and 8

So we have the ending number ONLY sum as follows:

1 + 24(2+4+6+8) + 2 + 4 + 8 = 1 + 480 + 14 = 495

We can divide this by 15 and that gives 495/15 = 33

That shows that the sum is divisible by 15

Secondly, we want to show that S has at least 30 digits

We can infer this from the last terms

We can write 2^99 as 2^33 * 2^33 * 2^33

A single 2^33 has a value of 8,589,934,592

That means 10 digits

The other two has 10 digits too

The sum of all possible digits in the largest term is 10 + 10 + 10 = 30

That makes a total of 30

The question states 30 or more

Hence, this is correct

5)Which of the following is a critical number of the inequality x^2+5x-6<0 ?

Answers

Answer:

B. 1

Explanation:

Given the inequality:

[tex]x^2+5x-6<0[/tex]

To find the critical number, first, change the inequality sign to the equality sign :

[tex]x^2+5x-6=0[/tex]

Next, solve for x:

[tex]\begin{gathered} x^2+6x-x-6=0 \\ x(x+6)-1(x+6)=0 \\ (x-1)(x+6)=0 \\ x-1=0\text{ or }x+6=0 \\ x=1\text{ or }x=-6 \end{gathered}[/tex]

Therefore, from the options, 1 is the critical number.

The correct option is B.

the product of 12 and 3 decreased by 6

Answers

the product of 12 and 3 decreased by 6​

we have that

the product of 12 and 3 ------> is number 12 multiplied by 3

12*3

decreased by 6​

12*3-6=36-6=30

the answer is 30

find the inverse function of g(x)= x-1÷x+5

Answers

[tex]g(x)=\frac{x-1}{x+5}[/tex]

1. replace g(x) with y:

[tex]y=\frac{x-1}{x+5}[/tex]

2.Replace every x with a y and replace every y with an x

[tex]x=\frac{y-1}{y+5}[/tex]

3. Solve for y:

[tex]\begin{gathered} (y+5)x=y-1 \\ yx+5x=y-1 \\ yx-y=-1-5x \\ y(x-1)=-1-5x \\ y=\frac{-1-5x}{x-1} \end{gathered}[/tex]

4. Replace y with g−1(x) g− 1 ( x ):

[tex]g(x)^{-1}=\frac{-5x-1}{x-1}[/tex]

Let set E be defined as follows:
E = {english, math, french, art}
Which of the following are subsets of set
E

Answers

The subsets of E is all the above .

What are subsets of set ?

If every component present in Set A is also present in Set B, then Set A is said to be a subset of Set B. To put it another way, Set B contains Set A. As an illustration, if set A has the elements X, Y, and set B contains the elements X, Y, and Z, then set A is the subset of set B.

If every element in a set A is also an element in a set B, then the set A is a subset of the set B. The set A is therefore contained within the set B. AB is used to represent the subset connection. For instance, if the sets A and B are equal, AB but BB, respectively.

Let the event E =  {english, math, french, art}

The subsets of E is all the above .

null set is also subset of E

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