someone pls help me. i dont understand this at all :c

Someone Pls Help Me. I Dont Understand This At All :c

Answers

Answer 1
To translate a function right by 4 units you subtract 4 from the x value ie 2^(x - 4)
To translate a function up by 5 units to add 5 to the whole function

g(x) = 2^(x - 4) + 5

Related Questions

Write 180 as a product of primes. Use index notation when giving your answer.​

Answers

Answer: 5x2x2x3x3 is the answer to your question

In the equation, what is the value of s?

3(s + 1) − 8 = 6s(2 − 4)

Answers

Answer:

[tex]\boxed{\boxed{\sf s=\frac{1}{3}}\sf \:or\:\boxed{\sf s=0.33...}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(s+1\right)-8=6s\left(2-4\right)[/tex]

Expand ( Apply the Distributive Property):-

[tex]\sf 3s-5=-12s[/tex]

Add 5 to both sides:-

[tex]\sf 3s-5+5=-12s+5[/tex]

Simplify:-

[tex]\sf 3s=-12s+5[/tex]

Add 12s to both sides:-

[tex]\sf 3s+12s=-12s+5+12s[/tex]

Simplify:-

[tex]\sf 15s=5[/tex]

Divide both sides by 15:-

[tex]\sf \cfrac{15s}{15}=\cfrac{5}{15}[/tex]

Simplify:-

[tex]\sf s=\cfrac{1}{3}[/tex]

___________________

Hope this helps!

Have a great day! :)

What type of angles are < 3 and < 6

Answers

Answer:

Obtuse Angles

Step-by-step explanation:

Both < 3 and < 6 are visibly over 90° and less than 180°, so both are obtuse.

Are the lines parallel? y=-3x+2 and 3x+y=6

A. Yes, they have the same slope and a different y intercept

B. No they are not parallell

Answers

The correct answer is A

Answer:

A. Yes, they have the same slope and a different y-intercept.

Step-by-step explanation:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Rearrange 3x + y = 6 to y = mx + c form.

y = -3x + 6

Parallel lines have the same slope.

Since slope of both lines is -3, the lines are parallel.

(Simplify your answer.)Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. x-8 f(x) = 4x + 8 and g(x) = 4

Answers

Answer:

x, x, yes

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

Given

f(x) = 4x + 8,g(x) = (x - 8)/4.

To find

f(g(x)), g(f(x)),Determine if f and g are inverse functions.

Solution

f(g(x)) = 4(x - 8)/4 + 8 = x - 8 + 8 = xg(f(x)) = (4x - 8 + 8)/4 = 4x/4 = xSince both composite functions result in same value of x, they are inverses of each other.

g(x) is a vertical shift of f(x) , as shown in the graph. How do the two equations relate to each other?

Answers

Answer:

A

Step-by-step explanation:

g(x) = f(x) + 3

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the expression in exponential form.

log₆ M = y

Answers

Exponential Form: 6^y=M

Remember that logs always equal exponents!

What is the first step to find the volume of the solid?

Answers

Answer: c

Step-by-step explanation:

Marie ran 842.4 meters in 12
minutes. How many
did she run?
A. 70.2
B. 70
C. 60.2
D. 72
meters/minute

Answers

A. 842.4/12=70.2meters/minute

Answer:

A. 70.2

Step-by-step explanation:

solve your equation step-by-step.

842.412=x1

Step 1: Cross-multiply.

842.412=x1

(842.4)*(1)=x*(12)

842.4=12x

Step 2: Flip the equation.

12x=842.4

Step 3: Divide both sides by 12.

12x12=842.412

x=70.2

Hope this helps! :D

Please mark Brainliest!!!

Body-mass index, or BMI, takes both weight and height into account when assessing whether an individual IS
underweight or overweight. BMI varies directly as one's weight, in pounds, and inversely as the square of one's height,
in inches. In adults, normal values for the BMI are between 20 and 25, inclusive. Values below 20 indicate that an
individual is
underweight and values above 25 indicate that an individual is overweight. A person who weighs 180
pounds and is 5 feet, or 60 inches, tall has a BMI of 35.15. Use the four-step procedure for solving variations to
determine what the BMI is, to the nearest tenth, for a 210-pound person who is 5 feet 9 inches tall. Is this person
underweight, normal, or overweight?

Answers

The person is overwieght as his BMI is 31.00 (approx)

What is Proportion?

In general, proportion refers to a part, share, or quantity assessed in comparison to a total. According to the notion of proportion, two ratios are in proportion when they are equivalent. It is a formula or statement that shows that two ratios or fractions are equivalent.

Solution:

Since, BMI is directly proportionate with weight and indirectly proportionate with square of height, we need to use a constant to make proportion to an equation.

According to the question,

BMI of a person who weighs 180 pounds and is 5 feet tall is 35.15.[tex]BMI = k*weight/height^{2}[/tex]

here, k is any constant value

35.15 = k*180/(60*60)

(35.15 * 3600)/180 = k

k = 703

Calculating BMI of a person weighing 210 pound and is 5 feet 9 inch tall.

First of all we need to convert 5 feet 9 inches into inches

5 feet = 60 inches

so, 5 feet 9 inch means 69 inches

BMI = 210*703/(69*69)

BMI = 31.00 (after rounding off)

To learn more about Proportion from the given link

https://brainly.com/question/19994681

#SPJ1

suppose the true proportion of voters in the county who support a restaurant tax is 0.55. consider the sampling distribution for the proportion of supporters with sample size n

Answers

The mean of this distribution is 0.55

The standard error of this distribution is 0.0384

We have the following:

p=0.55

sample size, n=168

Mean of distribution:

Mean=true proportion of voters who support a restaurant

Mean=p=0.55

Hence, the mean of distribution is 0.55

Standard error of the distribution:

[tex]=\sqrt{\frac{p(1-p)}{n} }[/tex]

[tex]=\sqrt{\frac{0.55(1-0.55)}{168} }[/tex]

=0.0384

Hence, the standard error is 0.0384

Learn more about mean and standard error of distributions here:

https://brainly.com/question/14467769

#SPJ4

The questions was incomplete, the complete question is given below:

Suppose the true proportion of voters in the county who support a restaurant tax is 0.55. Consider the sampling distribution for the proportion of supporters with sample size n = 168.

What is the mean of this distribution?

What is the standard error of this distribution?

Which of the following is equal to ?

Answers

The given expression, [tex][\frac{(x^{2} y^{3})^{-2} }{(x^{6} y^{3} z)^{2} } ]^{3}[/tex] is equal to [tex]\frac{(x^{2} y^{3})^{-6} }{(x^{6} y^{3} z)^{6} }[/tex].

What are Exponents?

The exponent of a number indicates how many times to multiply the number.For example, three to the power of two is represented as, [tex]3^{2}[/tex]. Here, 3 is the base number and 2 is the exponent. Also, [tex]3^{2} =3 \times 3[/tex].

What are the Laws of Exponents?

There are major seven Laws of Exponents as follows:

Product Rule of Exponents: [tex]a^{m} \times a^{n} =a^{m+n}[/tex]Quotient Rule of Exponents:  [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]Power of a Power Rule: [tex](a^{m} )^{n} =a^{m \times n}[/tex]Product of a Power Rule: [tex]a^{m} \times b^{m} =(ab)^{m}[/tex]Power of a Quotient Rule: [tex]\frac{a^{m} }{b^{m} } =(\frac{a}{b})^{m}[/tex]Zero Power Rule: [tex]a^{0} =1[/tex]Negative Exponent Rule: [tex]a^{-m} =\frac{1}{a^{m}}[/tex]

From the given question, we have the expression, [tex][\frac{(x^{2} y^{3})^{-2} }{(x^{6} y^{3} z)^{2} } ]^{3}[/tex]    -----(1)

Here, we can use the power of a power rule to simplify the expression.

The power of a power rule is of the form, [tex](a^{m} )^{n} =a^{m \times n}[/tex]

Solving expression (1) using the power of a power rule, we get

[tex][\frac{(x^{2} y^{3})^{-2} }{(x^{6} y^{3} z)^{2} } ]^{3}=\frac{(x^{2} y^{3})^{-2 \times 3} }{(x^{6} y^{3} z)^{2 \times 3} }\\\implies [\frac{(x^{2} y^{3})^{-2} }{(x^{6} y^{3} z)^{2} } ]^{3}=\frac{(x^{2} y^{3})^{-6} }{(x^{6} y^{3} z)^{6} }[/tex]

Therefore, the given expression is equal to [tex]\frac{(x^{2} y^{3})^{-6} }{(x^{6} y^{3} z)^{6} }[/tex]

To learn more the law of exponents about from the given link
https://brainly.com/question/22340031
#SPJ1

The ratio of green M & M's to yellow is 2:5

a. If there are only green and yellow M & M's in the bag, what is the smallest number of M & M's possible?

b. If there are 84 total green and yellow M & M's in the bag, how many are green?

c. If red M & M's were added to the bag in part b to get a total of 100, what is the ratio of green to yellow to red in simplest form? (enter ratio as green:yellow:red)
:
:

Answers

a. The smallest number of M & M's possible is 14.

b. The number of green is 24.

c. The ratio of green to yellow to red in 6: 15: 25.

How to calculate the value?

a. When there are only green and yellow M & M's in the bag, the smallest number of M & M's possible will be:

= (2 × 2) + (2 × 5)

= 4 + 10

= 14

b. If there are 84 total green and yellow M & M's in the bag, the number of green will be:

= 2 / (2 + 5) × 84

= 2/7 × 84

= 24 green

c. If red M & M's were added to the bag in part b to get a total of 100, the ratio of green to yellow to red in simplest form will be:

= Green : Yello : Red

= 24 : 60 : 100

= 6 : 15 : 25

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3). What are the slope and y-intercept of line r?.

Answers

In the given coordinate plane, based on the given dilation the line r has slope 8 and coordinate (0,8)

Dilation:

Dilation refers the ratio of the given line to line by the scale factor.

Given

In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3).

Here we need to find the the slope and y-intercept of line r.

Here we know that scale factor is 3.

Let us consider the slope of the line r will not change and the intercept is the addition of their ordinate will be.

So, it can be written as,

=> Intercept = 5 + 3

=> Intercept = 8

Therefore, the line r has slope 8 and coordinate (0.8).

To know more about Dilation here.

brainly.com/question/11911650

#SPJ4

If f(x) = -8m + 3 and g(x) = -8m^2 + m - 5, what is (f times g)x?

A.) 64m^3 - 16m^2 + 43m - 15
B.) 64m^3 +43m - 15
C.) 64m^3 - 32m^2 + 43m - 15
D.) -16m^2 + 43m - 15

Answers

Answer:  Choice C

[tex]64m^3-32m^2+43m-15[/tex]

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

Explanation:

Multiply out the expressions using the distribution rule as shown below.

[tex](-8m+3)(-8m^2+m-5)\\\\n(-8m^2+m-5) \ \ \text{ ... see note1}\\\\-8m^2n+mn-5n\\\\-8m^2( n )+m( n )-5( n )\\\\-8m^2( -8m+3 )+m( -8m+3 )-5( -8m+3 ) \ \ \text{ ... see note2}\\\\( 64m^3-24m^2 )+( -8m^2+3m )+( 40m-15 )\\\\64m^3+(-24m^2-8m^2)+(3m+40m)-15 \\\\64m^3-32m^2+43m-15 \\\\[/tex]

I used the tool WolframAlpha to confirm the answer is correct. GeoGebra is another free tool that offers similar capabilities.

Footnotes:

Note1: I let n = -8m+3, and replaced -8m+3 with n. That way the distribution on the next step could happen.Note2: I plugged in n = -8m+3. After which distribution happens 3 more times.

A waitress sold 19 ribeye steak dinners and 12 grilled salmon dinners, totaling $581.52 on a particular day. Another
day she sold 24 ribeye steak dinners and 6 grilled salmon dinners, totaling $581.59. How much did each type of
dinner cost?

Answers

The each type of dinner cost is ribeye steak dinner cost is $20.05 and grilled salmon dinner cost is $16.74 by using the equation.

Given that,

On one particular day, a waitress served 12 grilled salmon dinners and 19 ribeye steak dinners for a total of $581.52. She made $581.59 on another day by selling 24 ribeye steak dinners and 6 grilled salmon entrees.

We have to find what was the price of each kind of dinner.

So,

We take R as a ribeye steak dinner and S as grilled salmon dinners.

We get,

19R+12S=$581.52 ---> equation(1).

24R+6S=$581.59 ----> equation(2).

Now Take the equation (2)

24R+6S=$581.59

6S=$581.59-24R

Multiply 2 on both sides of equation.

12S=$1163.18-48R

Now take the equation(1)

19R+12S=$581.52

Take the 12S as 12S=$1163.18-48R

19R+$1163.18-48R=$581.52

-29R=$581.52-$1163.18

-29R=-581.66

29R=581.66

R=581.66/29

R= $20.05

Now substitute R in 12S=$1163.18-48R

We get,

12S=$1163.18-48($20.05)

12S=$1163.18-962.4

12S=200.78

S=200.78/12

S=$16.74

Therefore, The each type of dinner cost is ribeye steak dinner cost is $20.05 and grilled salmon dinner cost is $16.74 by using the equation.

To learn more about equation visit: https://brainly.com/question/10413253

#SPJ1

21a5b³-14a³b² +63a²b
———————————-
7ab

Answers

Answer:

[tex]3a^4b^2-2a^2b+9a[/tex]

Step-by-step explanation:

Because multiplication is the inverse of division, we're able to split this fraction into three separate fractions, which will simplify nicely at the end:

[tex]\frac{21a^5b^3}{7ab}; \frac{-14a^3b^2}{7ab}; \frac{63a^2b}{7ab}[/tex]

We can start by simplifying each fraction since 21, -14, and 63 are all divisible by 7:

[tex]\frac{3a^5b^3}{ab}; \frac{-2a^3b^2}{ab}; \frac{63a^2b}{ab}[/tex]

Finally, when dividing quotients with exponents, we subtract the exponents and we put all of our answers back together since everything was multiplied by each other at the beginning of the problem:

[tex]3a^4b^2-2a^2b+9a[/tex]

Evaluate the expression −(4)power2− (−2)power4

Answers

Answer:

-32

Step-by-step explanation:

-(4)^2 - -2^4 = -16 - 16 = -32

19) For which value of s is the value of the expression s + 6 ÷s greatest?
A. 1
B. 2
C. 3
D. 4

Answers

The correct option A. 1, is the value of the variable 's' for which the solution of the expression is greatest .

Define the meaning of the greatest value?whenever one value exceeds another. We employ the "greater than" symbol. as in: 9 > 6.

For the given question,

The expression is-

(s + 6) ÷ s

Use the options;

A : s = 1

= (s + 6) ÷ s

= (1 + 6) ÷ 1

= 7

B : s = 2

= (s + 6) ÷ s

= (2 + 6) ÷ 2

= 4

C : s = 3

= (s + 6) ÷ s

= (3 + 6) ÷ 3

= 3

D : s = 4

= (s + 6) ÷ 4

= (4 + 6) ÷ 4

= 2.5

Thus, the value of the variable 's' for which the solution of the expression is greatest is 1.

To know more about the greatest value, here

https://brainly.com/question/22365579

#SPJ1

A 3 gallon bucket of paint costs $116.64. What is the price per cup?

Answers

Answer:

Step-by-step explanation:

You can use proportions to solve this.

You are paying $116.64 for 3 gallons of paint, so you could write this as:

\frac{116.64}{3}

Since the question is asking for price PER CUP, you want to convert 3 gallons to cups. 3 gallons = 48 cups. So now you can rewrite this as:

\frac{116.64}{48 cups}

In order to find the cost per cup, you can set up a proportion that solves for the price, x

\frac{116.64}{48 cups}  = \frac{x}{1 cup}

Solve for x by cross multiplying:

48x = 116.64

x = $2.43

It costs $2.43 per cup of paint

What is the equation for the constant of proportionality that
matches the table?

y = 9x

y=18x

y = Ox

y = x

Answers

Answer:

y=9x

Step-by-step explanation:

For these x's and y's, we can notice that y is always equal to 9 times the value of x. 0 equals 9 * 0, 9 equals 9 * 1, 18 equals 9 * 2, 27 equals 9 * 3, and 36 equals 9 * 4.

We have just shown that y equals 9 times x, which is just y=9*x, or y=9x.

HELP!!!!!!! LOTS OF POINTS

Answers

Answer:

1) 1 A. Yes B. Because the change in x and y is constant


2) 2 A. No B. Although the change in y is

constant, the change in x is not


3) 5. A. No B.Because the change in y is not constant


4) 4,5 A. yes B.Because the change in x and constant

Step-by-step explanation:

9y + 4.1 -6y someone help me on this question

Answers

Answer:

3y + 4.1

Step-by-step explanation:

You can't add unlike terms, so you collect like terms:

9y - 6y + 4.1

= 3y + 4.1

pls explain how to do this

Answers

The x value for each of the equation.

1)The x is 10 when the equation is 8=x-2

2)If x+2=-2, then the value of x is -4.

3)If 2=x+8, then the value of x is -6.

4)The x is -10 when the equation is x+8=-2

Given that,

The given equation are

1) 8=x-2

2) x+2=-2

3) 2=x+8

4)x+8=-2

We have to find the x value for each of the equation.

Take the equations,

1) 8=x-2

Adding 2 on both sides

8+2=x-2+2

10=x

The x is 10 when the equation is 8=x-2

2) x+2=-2

Adding 2 on both sides

x+2+2=-2+2

x+4=0

Adding -4 on both side

x+4-4=0-4

x=-4

If x+2=-2, then the value of x is -4.

3) 2=x+8

Subtracting 8 on both sides

2-8=x+8-8

-6=x

x=-6

If 2=x+8, then the value of x is -6.

4)x+8=-2

Adding -8 on both sides

x+8-8=-2-8

x=-10

The x is -10 when the equation is x+8=-2

Therefore, the x value for each of the equation.

1)The x is 10 when the equation is 8=x-2

2)If x+2=-2, then the value of x is -4.

3)If 2=x+8, then the value of x is -6.

4)The x is -10 when the equation is x+8=-2

To learn more about equation visit: https://brainly.com/question/10413253

#SPJ1

The graph represents the number y of computers infected by a virus after x hours. Find the number of computers infected after 90 minutes and after 6 hours.

Answers

Examining the given graph the number of computers infected in

90 minutes = 8 computers6 hours = 4096 computers

How to find the number of computers infected

The graph shows that the function is an exponential function

represented as

The starting term of the function  f(x) = 4^t is 1, and base is 4

f(x) = number of computer infected

t = time in hours

90 minutes in hours

90 / 60 = 1.5 hours

for t = 1.5 hours

f(x) = 4^1.5

f(x) = 8

for t = 6 hours

f(x) = 4^6

f(x) = 4096

Learn more about exponential function here:

https://brainly.com/question/21890346

#SPJ1

Luke claims two circles are always isometric because the shape never changes. Is he correct?
Group of answer choices

Yes - an isometry preserves shape.

Yes - all circles are similar.

No - the center may be located on a difference coordinate.

No - an isometry preserves both size and shape.

Answers

Luke asserts that since the shape is constant, two circles are always isometric. he is wrong. No, an isometry keeps the size and shape intact.

Given that,

Luke asserts that since the shape is constant, two circles are always isometric.

We have to say is he accurate.

The answer is

No, an isometry keeps the size and shape intact.

Because a shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry). The isometric transformations include translation, rotation, and combinations thereof, such as the glide, which combines a translation with a reflection.

Therefore, Luke asserts that since the shape is constant, two circles are always isometric. he is wrong. No, an isometry keeps the size and shape intact.

To learn more about isometric visit: https://brainly.com/question/110297

#SPJ1

A regular hexagon with a perimeter of 45 meters is dilated by a scale factor of 4/3 to create a new hexagon. What is the perimeter of the new hexagon?

Answers

The perimeter of the resulting hexagon is 60 meters.

What is the perimeter of the image of a hexagon as a result of a dilation?

In this problem we find the perimeter of a regular hexagon, which is dilated around its center. Regular hexagons are polygons with six sides of equal length. Dilations are rigid operations of the form:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

O(x, y) - Center of dilation.k - Scale factorP(x, y) - Original pointP'(x, y) - Resulting point

The perimeter is the sum of the side lengths of the hexagon and by dilation we find the following relationship between original and resulting perimeters (p, p'):

p' = k · p

If we know that p = 45 and k = 4 / 3, then the resulting perimeter is:

p' = (4 / 3) · (45)

p' = 60

The resulting hexagon has a perimeter of 60 meters.

To learn more on dilations: https://brainly.com/question/16789982

#SPJ1

h - 2 > 10; h = 12


is that true?

Answers

Answer:

no, h=anything greater than 12

Step-by-step explanation

Answer:

No. It is false.

Step-by-step explanation:

h - 2 > 10; h = 12

Substitute 12 in place of h.

12 - 2 >? 10

Simplify.

10 >? 10

10 is NOT > 10

10 is not greater than 10. 10 is equal to 10. If the symbol had the "or equal to" underline under it, then it would be true. See image.

Identify a reasonable domain and range.
Tickets that cost $125 dollars each

Answers

Well the domain is the number of tickets and the range is the cost for those tickets.

So x = 1 when y = 125 (1 ticket is 125 dollars). Here is a reasonable domain and range comparision:

x = 1 , y = 125

x = 2, y = 250

x = 3, y = 375

x = 4, y = 500

ect...

The lower limit of the domain is 0 because you cannot have less than 0 tickets.

I hope this helps!

Gordon is 5 years older than Krutika. David is 6 years younger than Krutika. If the total of their ages is 86, how old is the eldest of them?

Answers

Answer:

Step-by-step explanation:

Well let Krutica’s age = x

K = x,    G = x+5,    D = x-6

K+G+D = 86  

x + x+5 + x-6 = 86

3x = 87

x = 29

Gordon is the eldest of the few:

29 or x+5=

34 years old

Answer: Gordon is 34 years old

Other Questions
Historically, what best describes the issues that America faced during the Romanticism era?1)Women got the right to vote2)People were starting to disapprove of the way women and slaves were treated3)People were angry over the mistreatment of factory workers4)People were going through the Great Depression Which two statements describe behaviors of particles that are related to the physical properties of the materials?. a nurse is assigning a 1-minute apgar score to a newborn who is crying loudly. the newborn has a heart rate of 140/min, has well-flexed arms and legs, grimaces when the nurse rubs the soles of their feet, and is pink with mild acrocyanosis. what apgar score should the nurse assign to this newborn? Fill in the blank with the most appropriate verb._____tres horas que espero.OA. TengoOB. HagoC. Se prohibeD. Hace Which of the following careers can be pursued with only 30 hours of training? A. Bodyguard B. Police officer C. Private security officer D. Secret Service agent Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1. 69 a square foot, what is the total cost to tile the kitchen?. Determine the perimeter of the right triangle shown. Which theory would support the idea that by increasing the efficiency of resource utilization in the global economy, international trade results in greater economic growth and provides economic benefits to all countries that participate in a global trading system?. The words equal protection under the law was given to all freedmen in the a13th Amendment b14th Amendment c15th Amendment d18th Amendment What is the domain of the exponential function y = 8^x+2? Need help asap. Simplify the expression 4/x-3/x show work Where was Fort Supply located? Which section most clearly supports the generalization that everyone uses the amazing substance known as glass?. How do I Identify ways in which local businesses apply the marketing concept domestically and abroad and determine how it affects the business customers? Which state was NOT a part of the 13 colonies?. Florida (FL). New York (NY)W-SEc. New Hampshire (Nd. Massachusetts (MA? Was it part of the original 13 colonies? how has ancient Africa influenced the culture and identities of the united states today 22 pointsIf I || m, find the value of x and y.(7x + 12)(12x - 28)(9y-77)"m Given s(x) = 2x - 3 and t(x) = 5x + 4. Find the formula and domain for v(x) = and w(x) =. soils play a vital role in ecosystems, including acting as a medium for plant growth, filtering water, and providing habitat for a variety of organisms. (a) describe two of the factors that determine the properties of soils. (2 points) (b) name and describe the properties of the four main soil horizons (excluding the e horizon), going from the top layer to the bottom layer. (4 points) (c) describe at least two differences between a soil primarily composed of sand and a soil primarily composed of clay. (2 points) (d) describe the role of cation exchange and base saturation in soil productivity. (2 points) a woman comes to the clinic complaining of irregular contractions lasting less than 30 seconds and occurring no more frequently than 5 times in 1 hour. she is afraid of losing the pregnancy. she is at 26 weeks of gestation with her first child. what is most likely happening to this woman?