need help asap im not good at math

Need Help Asap Im Not Good At Math

Answers

Answer 1

g(x):

flip f(x) over x-axist and next translate 2 units down.

Look at the picture.

Therefore your answer is: B. g(x) = -x² - 2

Translations

y = f (x) + m up m units

y = f (x) - m down m units

y = f (x + m) left m units

y = f (x - m) right m units

Stretches/Shrinks

y = n · f (x) stretch vertically by a factor of n

y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)

y = f (1/n x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

Need Help Asap Im Not Good At Math

Related Questions

Solve for x. x+2/3=−1/6 Enter your simplified answer in the box. x =

Answers

Im pretty sure your awnswer will be, x=−5/6




Subtract 2/3 from both sides.

x+2/3−2/3=−1/6−2/3

x=−5/6




Best of luck, terribly sorry if im wrong if i am my apologies





~Animaljamissofab ♥

Vanessa buys a strip of 25 postage stamps. The strip of stamps is 21 7/8 inches long. How long is a strip after Vanessa uses 1 stamp?

Answers

Answer:

7/8

Step-by-step explanation:

The strip is 21 7/8 inches long. You need to make this into an improper fraction so you multiply 21x8= 168 and then add 7 to that which = 175. So the improper fraction is 175/8 (instead of 21 7/8). Now you just divide 175 by 25 which is 7. Each stamp is 7/8 inches long.

Final answer:

To find the new length of the strip after Vanessa uses one stamp, we first divide the initial length of the strip by the total number of stamps to find the length of one stamp. We then subtract this from the original length of the strip. The new length is 21 inches.

Explanation:

This question is asking how long a strip of stamps is after Vanessa uses one of them. Given that the original strip is 21 7/8 inches long and includes 25 stamps, we can find the length of one stamp by dividing the total length of the strip by the total number of stamps. So, the length of one stamp is 21 7/8 ÷ 25.

We then subtract the length of this one stamp from the original length of the strip to find the new length:

Length of one stamp = 21 7/8 inches ÷ 25 = 0.875 inchesNew length of the strip = 21 7/8 inches - 0.875 inch = 21 inches

The new length of the strip, after Vanessa uses one stamp, is therefore 21 inches.

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At Binh's Greenhouse in early spring, there are many greenhouse plants to repot and many outside plants to water. If it takes Binh 5 minutes to repot each plant and 2 minutes to water each plant, and he has at most 2 hours before the greenhouse opens, what inequality represents the time Binh has to repot and water the plants before the greenhouse opens? Let x represent the number of plants to repot, and y represent the number of plants to water.

Answers

2*y + 5*x < 2 hours But the units are not the same. The left side contains minutes and the right hours.

2y + 5x < 2*60

2y + 5x < 120 <<<<< Answer

Answer:

5x + 2x < 120

Step-by-step explanation:

Given:

Binh takes 5 minutes to repot each plant and 2 minutes to water each plant.

He has at most 2 hours.

Here "at most" represents by the inequality "<"

Let's convert 2 hours into minutes.

1 hour = 60 minutes

2 hours = 2×60 minutes = 120 minutes

Let x represent the number of plants to repot, and y represent the number of plants to water.

So, the given situation represented by

5x + 2x < 120

Select the correct answer from each drop-down menu.
A triangular piece of rubber is stretched equally from all sides, without distorting its shape, such that each side of the enlarged triangle is twice the length of the original side.
The area of the triangle to times the original area.

Answers

The area of the stretched triangle is four times the area of the original triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let's assume that the original triangle has sides of length a, b, and c, and that its area is A. Without loss of generality, we can assume that side a is the shortest side.

After the rubber is stretched, each side of the enlarged triangle will be twice the length of its original length. Thus, the lengths of the sides of the stretched triangle will be 2a, 2b, and 2c.

Since the rubber is stretched equally from all sides, we know that each angle of the original triangle will be doubled. Therefore, the stretched triangle will be similar to the original triangle.

The area of a triangle is given by the formula:

A = (1/2) x base x height

where the base and height are the lengths of any two sides of the triangle that are perpendicular to each other.

Since the stretched triangle is similar to the original triangle, we can use the ratios of corresponding sides to find the lengths of the corresponding altitudes. Specifically, we have:

(altitude of stretched triangle corresponding to side 2a) = 2 x (altitude of original triangle corresponding to side a)

(altitude of stretched triangle corresponding to side 2b) = 2 x (altitude of original triangle corresponding to side b)

(altitude of stretched triangle corresponding to side 2c) = 2 x (altitude of original triangle corresponding to side c)

Therefore, the area of the stretched triangle is given by:

A' = (1/2) x (2a) x (2b) x (2/2) + (1/2) x (2b) x (2c) x (2/2) + (1/2) x (2c) x (2a) x (2/2)

Simplifying this expression gives:

A' = 4A

Hence , the area of the stretched triangle is four times the area of the original triangle.

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find the base when the area is 2.5 and the height is 1

Answers

so lets say base = x

Then 1*x=2.5

Therefore the base equals 2.5

Hope this helps!

HELP 1/7z+2=-6/7z what’s the solution set please send help I’m suffocating under homework

Answers

Isolate the z. Note the equal sign. Subtract 1/7z to both sides

1/7z (-1/7z) + 2 = -6/7z (-1/7z)

2 = -6/7z - 1/7z

Simplify. Combine like terms

2 = -7/7z

2 = -1z

Isolate the z. Divide -1 from both sides

(2)/-1 = (-1z)/-1

z = 2/-1

z = -2

-2 is your answer

hope this helps

How do I describe each pattern in words
13, 23, 33, 43

Answers

the pattern is added in 10 like 13 + 10=23

Gotcha!

As a whole, the pattern is +10. 13 to 23 you add 10. 23 to 33 you add 10. 33 to 43 you add 10. That's the best explanation.


Hannah reads at a constant rate of 3 pages every 8 minutes.
Write an equation that shows the relationship between p, the number of pages she reads, and m, the number of minutes she spends reading.

Answers

Answer:

[tex]m=\dfrac{8}{3}p[/tex]

Step-by-step explanation:

[tex]\begin{array}{ccc}3\ (pages)&-&8\ (min)\\p\ (pages)&-&m\ (min)\end{array}\qquad|\text{cross multiply}\\\\p\cdot8=3\cdot m\qquad|\text{divide both sides by 3}\\\\m=\dfrac{8p}{3}[/tex]

The equation is:

number of pages=reading speed×number of minutes

          p               =          3/8          ×                  m

The correct answer is

p=3/8 m

1.588 x 10 to the negative 4th power

Answers

1588 is the answer hope this helps you
Answer:

1.588 * 10 = 15.88.
15.88 to the negative 4th power is 0.00001572526

PLEASE HELP THIS IS DUE TOMORROW

The change in temperature from 8am to 8pm is 4 degrees. The temperature at 8pm was -5 degrees. What is the temperature at 8am?

Answers

It was -1 degrees I think

it's basically -5 plus 4

Which is -1

The temp. at 8am is -1 degrees.

A contractor wants to replace the baseboard of a room whose length is 15 feet and width is 6 feet. How much will the baseboard cost if the material they will use is $5 per foot ?

Answers

It will cost $18.

15*6=90

90/5=18

It will cost $18.

The cost of the baseboard for $5 per foot whose length is 15 feet and width is 6 feet will be $ 210.

Given that:

Length of the baseboard = 15 feet

Width of the baseboard = 6 feet

The total space occupied by the baseboard can be calculated using the perimeter of the baseboard.

The perimeter of a rectangle can be calculated using the formula:

[tex]Perimeter = 2 \times(Length + Width)[/tex]

                   = [tex]2 \times(15 + 6)[/tex]

                  = [tex]2 \times 21[/tex]

                  = 42 feet

The cost of the baseboard can be calculated by multiplying the total length (42 feet) by the cost per foot ($5)

[tex]Cost \ of \ baseboard = Total\ length\times Cost \ per \ foot[/tex]

=[tex]42 \times 5[/tex]

= $210

Therefore, the cost of the baseboard for the room would be $210.

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HELP AGIAN PLEASE
THANK YOU AGIAN!!

Answers

A is probably the most reasonable answer, of course it depends what situation you're in.

Logicly speaking, the phone would go to voicemail after about 30 seconds.

Echy~

It would be choice A (seconds) because everyone answers their cell phone within seconds (if they aren't at work or something) but it would be the most resonable answer choice listed!

solve for x b=1/6π n ^2 x

Answers

Answer:

[tex]\large\boxed{x=\dfrac{6b}{\pi n^2}}[/tex]

Step-by-step explanation:

[tex]b=\dfrac{1}{6}\pi n^2x\qquad\text{multiply both sides by 6}\\\\6b=\pi n^2x\qquad\text{divide both sides by}\ \pi n^2\neq0\\\\\dfrac{6b}{\pi n^2}=b[/tex]

15 points! Thank you

Answers

[tex]10x^2+27x-28=10x^2+35x-8x-28=5x(2x+7)-4(2x+7)\\\\=(2x+7)(5x-4)\\\\Answer:\ D.\ 2x+7[/tex]

[tex]<b>Hey there![/tex]

Factorization of the trimonial.

10x^2+27x-28

=>10x^2+35x-8x-28

now factorization is

(2x+7)(5x-4)

So the correct answer is D.(2x+7)

Hope it helps you.

Write the following products using exponents to express the results in a simpler form. (3 inches)(5 inches) and (5 feet)(2 feet)?

Answers


Answers:

___________________________________________________________

1)   (3 inches)(5 inches) = (3 in)(5 in) = 3 * 5 * in * in = 15 * in * in   =  "  15 in² " .

___________________________________________________________

2)  (5 feet)(2 feet) = (5 ft)(2ft) = 5 * 2 * ft * ft = 10 * ft * ft   =  " 10 ft²  " .

___________________________________________________________

Final answer:

Exponents are used for repeated multiplication of the same number, hence, (3 inches)(5 inches) and (5 feet)(2 feet) cannot be simplified using exponents since they involve different numbers. Exponents and conversion factors are distinct mathematical tools, with the latter used for converting units of measure.

Explanation:

The question addresses using exponents to express products of the same units in a simpler form. The product of (3 inches)(5 inches) suggests multiplying these two measurements, however, when writing this product using exponents, we should consider that both are units of length, and thus their product will result in a unit of area, which is square inches (in2). We cannot simplify this expression further using exponents as they are not repeated multiplication of the same number.

On the other hand, for the product (5 feet)(2 feet), we again get an area, but this time in square feet (ft2). Still, there's no need for using exponents in this expression because we are not dealing with repeated multiplication of the same number.

It is important to note that exponents are used to represent repeated multiplication of the same number. For example, if we had (5 inches)(5 inches), we could write this as 5 inches squared (5 in)2, because it's 5 inches multiplied by itself. On the contrary, when multiplying different numbers, exponents don't apply.

When converting between different units of measure, as in converting feet to inches, we use conversion factors. For instance, 1 foot equals 12 inches, so by multiplying feet by 12, we can convert it to inches. Similarly, inches can be converted to feet by dividing by 12.

6.58x - 8.36x = 3.98x - 27.33
Round your answer to the nearest hundredth

Answers

Answer:

-5.76x=-27.33

-6x=-27

Step-by-step explanation:

you would bring the 3.98 over to the other side, so it would be -3.98+6.58=2.6-8.39=-5.76

What is the result of dividing x3−7 by x + 2?

Answers

The result of the division of x³-7 by x+2 will be (x²−2x+4)−15/(x+2).

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variables called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

Division of (x³-7) ÷ (x+2)

Keep quotient x² → (x³-7) - (x³+2x²) ⇒ remainder = -7-2x²

Next quotient -2x → (x³-7) - (-2x²-4x) ⇒ remainder = -7+4x

Next quotient 4 →  (x³-7) - (8+4x) ⇒ reminder = -15

Therefore,

(x³-7) ÷ (x+2) = (x²−2x+4)−15/(x+2).

Hence "The result of the division of x³-7 by x+2 will be (x²−2x+4)−15/(x+2)".

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what is f(-3) if f(x) = 2x+1 + 5

Answers

  Well we know that our function is -3, so we can plug this into the equation. \

f(x) = 2x + 1 + 5

f(-3) = 2(-3) + 1 + 5, now from here we simplify (:

-6 + 1 + 5 then finally we combine our like terms

-6 + 1 equals -5, then -5 + 5 equals 0

our final answer is zero if our function is f(-3) ((((((((((((((((((((((((((((((:

Simplify : (√x + √y ) (√x − √y) (x + y)(x2 + y2)

Answers

[tex]Solution, \mathrm{Expand}\::\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right)\left(x+y\right)\left(x^2+y^2\right):\quad :x^4-:y^4[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Expand}\:\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right):\quad x-y, =\left(x-y\right)\left(x+y\right)\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Expand}\:\left(x-y\right)\left(x+y\right):\quad x^2-y^2, =:\left(x^2-y^2\right)\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Expand}\:\left(x^2-y^2\right)\left(x^2+y^2\right):\quad x^4-y^4, =:\left(x^4-y^4\right)[/tex]

[tex]\mathrm{Expand}\::\left(x^4-y^4\right):\quad :x^4-:y^4, =:x^4-:y^4[/tex]

The correct answer is [tex]x^4-y^4[/tex]

Hope this helps!!!

The simplification involves the use of the difference of squares identity on the first two terms, yielding (x - y). There's no further simplification possible for the remaining terms (x + y)(x^2 + y^2) under general conditions, resulting in the expression (x - y)(x + y)(x^2 + y^2).

The question involves the simplification of the given expression (
oot{x} + oot{y})(oot{x} - oot{y})(x + y)(x^2 + y^2). To simplify it, we will use the properties of square roots and algebraic identities.

Firstly, we use the difference of squares identity on the first two terms: (
oot{x} + oot{y})(oot{x} - oot{y}) = x - y.

Now, we look at the second pair of terms and realize that we can reshape the given expression using the properties of exponents: (x + y)(x^2 + y^2). Since both (x + y) and (x^2 + y^2) represent sums of powers of x and y, there is no direct simplification possible without additional constraints on x and y.

Therefore, the multiplication of these expressions gives us (x - y)(x + y)(x^2 + y^2) without further simplification under general conditions.

Name the property of real numbers illustrated by the equation 5(x-3)=5x-15

Answers

This is known as the distributive property.

When you have a number outside of parentheses, (typically when there's a variable either inside or outside the parentheses), you can apply the number outside the parentheses to each term inside the parentheses, and the answer will still be equal.

Distributive Property is your answer.

In the case of "5(x - 3)", the parenthesis cannot be simplified, because you cannot combine a number and variable. To simplify, you must distribute the outside number (5), too all terms within the parenthesis

5(x - 3) = 5(x) + 5(-3)

Simplify.

5(x) = 5x

5(-3) = -15

5x - 15 is the answer (true, it makes the equation true)

Distribute Property is your answer


~Rise Above the Ordinary, Senpai

I need help with this problem

Answers

Answer:


Step-by-step explanation:

Let's first find out how many workstations there would be.

(7/8) / (1/16) == (14/16) / (1/16) == 14 workstations

It says in the problem that there are two classrooms and that they both have the same number of workstations.

14 workstations / 2 classrooms = 7 workstations

There are seven workstations in each of the two classrooms.

Given the parent function f(x)=x2, what is the new equation if the function is translated 4 units to the right and 3 units down

Answers

Is the x2 supposed to be an exponent or no?


Final answer:

The new equation for the translated parent function f(x) = x^2, shifted 4 units right and 3 units down, is f(x) = (x - 4)^2 - 3.

Explanation:

To translate the parent function f(x) = x^2 by 4 units to the right and 3 units down, we need to make the following adjustments:

The translation to the right will be represented by replacing x with (x - 4) in the equation.The translation down will be represented by subtracting 3 from the equation.

So, the new equation is f(x) = (x - 4)^2 - 3.

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What does it mean by property? Thank you!

Answers

This is talking about the different properties such as Commutative property and Associative Property, Distributive Law. This exact law is commutative law.

20 POINTS If each person paid an equal amount, who would save the most money?

My Numbers $47.94, $47.94, $48.60, $45

Answers

obviously $48.60 would save more.

Answer,

48.60


Hope this helps - Laura

:-)

Which of the following expresses 16 + 36 by using the GCF of the two numbers?

4(4 + 9)
4(4 + 32)
8(2 + 28)
8(8 + 28)

Answers

16 + 36 = 52 so the answer would be A) 4(4 + 9) because that equals 52 as well.

The answer is 4(4 + 9)

Because,
4x4= 16 and 4x9=36

so, 16 + 36

Which ordered pair is a solution of the equation?

y=-3x-4
Choose 1 answer:

(Choice A)
A
Only (-2,4)

(Choice B)
B
Only (-3,5)

(Choice C)
C
Both (-2,4) and (-3,5)

(Choice D)
D
Neither

Answers

It’s B because 5 = -3(-3) - 4
5=9-4
Just plug in the numbers and see what works

Answer:

B.- Only (-3,5)

Step-by-step explanation:

In an ordered pair the first coordinate is the [tex]x[/tex] coordinate, and the second coordinate corresponds to the [tex]y[/tex] coordinate.

Then we must substitute the given value of [tex]x[/tex] in the equation and verify that we get in return the defined value for [tex]y[/tex].

the options are

[tex](-2,4)[/tex]

in this one [tex]x = -2[/tex], and [tex]y=4[/tex], so let's confirm:

[tex]y=-3x-4\\y=-3(-2)-4\\y=-6-4\\y=2[/tex]this is not a solution since the [tex]y[/tex] values are not the same.

[tex](-3,5)[/tex]

in this one [tex]x= -3[/tex] and [tex]y=5[/tex], let's also confirm:

[tex]y=-3(-3)-4\\y=9-4\\y=5[/tex]in this one the values for [tex]y[/tex] are equal, this is a solution for the equation.

Whats the density of an object with the length of 5.0 cm a height of 3.0 and width of 15.0 cm and a mass of 24 grams

Answers

Answer:

The density of the object is [tex]0.1067[/tex] grams per cubic centimeter. (Rounded off to 4th decimal)

Step-by-step explanation:

Density = [Mass/Volume]

Here we have been given the dimensions of the object.

Volume = Height * Width * Length

Volume = [tex]3.0cm*15.0cm*5.0cm[/tex]

             =[tex]225cm^{3}[/tex]

Now we can substitute the Mass and the Volume to the density equation.

Density = [Mass/Volume]

             =[tex]\frac{24grams}{225cm^{3} }[/tex]

             =[tex]0.1067[/tex] grams per cubic centimeter. (Rounded off to 4th decimal)

please help!
Cassidy wants to divide 4x^2−2x+3 by x + 2 using synthetic division.

Which answer shows the correct process?
(the answers are in the pictures below)

Answers

Refer to the image attached.

Since, we have to divide the polynomial [tex]4x^2-2x+3[/tex] by (x+2) using synthetic division.

We will divide the coefficients  4  -2  3  by -2

First term = 4 will remain same.

Second term = [tex](-2 \times 4) -2 = -8-2 = -10[/tex]

So, second term = -10

Third term = [tex](-2 \times -10)+3 = 23[/tex]

So, third term = 23

So, 4   -10   23  is the correct answer

So, Option 2 is the correct answer.

the length of a certain rectangle is 5cm more than 3 times its width. if the perimeter of the rectangle is 74 what is the length and width

Answers

The perimeter of a rectangle is the sum of all four sides of the rectangle.

(Perimeter = 2width + 2length)

Let's assume the width of the rectangle to be x.

For length, the statement says that is equals to 3 times the width (= 3x) and 5cm more meaning 5cm would be added to 3 times the width.

Width = x

Length = 3x + 5

Perimeter = 2x + 2(3x+5)

74 = 2x + (6x+10)

74 = 8x + 10

solve for x

8x = 74 - 10

x = 64/8, x=8

Width = 8

length = 3(8)+5 = 29

What percent of the first 10 natural numbers are prime numbers? Answer in a percent please.
:)

Answers

So the first 10 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Since a prime number is only divisible by 1 and itself and greater than 1, our answers are 2, 3, 5, and 7. That's 4 numbers, or 4/10=0.4 of the 10. Since percentage is based out of 1, we can multiply 0.4 by 100 to get 40%. I hope that Helped :)


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Three years in that job, which I would gladly have quit after the first day except for her insistence, produced at least one valuable result. My mother finally concluded that I would never make something of myself by pursuing a life in business and started considering careers that demanded less competitive zeal. One evening when I was eleven I brought home a short "composition" on my summer vacation which the teacher had graded with an A. Reading it with her own schoolteacher's eye, my mother agreed that it was top-drawer seventh grade prose and complimented me. Nothing more was said about it immediately, but a new idea had taken life in her mind. Halfway through supper she suddenly interrupted the conversation. "Buddy," she said, "maybe you could be a writer." You will write one well-developed paragraph of at least 7-8 sentences. In your paragraph, identify one major idea in the memoir "No Gumption." Then identify one sentence in the passage that directly develops or refines that main idea. Explain how that sentence develops the main idea you identified. Make sure you are using specific evidence from "No Gumption" to support your ideas. Hi I need help solving these two questions? Use the word nuisance as a sentence. The sales volume for an online bookstore was 432 books in the first week. Then due to the new policy of tax for on-line shopping, the sales volume dropped to 297 books at the second week. By what percent did the sales volume go down? WRITE A INFORMATIVE ESSAY ON EPA ( environmental protection agencies) IDEASMy topic is clear and focusedI provide accurate, important details to support my main ideasI anticipate the readers' questions and provide answers in my work ORGANIZATIONI have an inviting introduction, well-constructed paragraphs, and a satisfying conclusionMy work is organized sequentially, logically, and effectivelyI use effective transitions throughout my work that make my meaning clear and help readers move through the text VOICEMy content and ideas--and the way I express them--match the purpose and audienceI use natural, engaging languageWhen someone reads this text, it will be clear to them that I care about and understand the topic WORD CHOICEMy words are specific and correctly used so my readers will know exactly what I meanAll of my words and phrases are natural, effective, and appropriate; some of them are also memorable and powerful SENTENCE FLUENCY My sentences are put together well and in a way that enhances the meaningI use a variety of sentence lengths and structures in my workWhen I read my work out loud, it flows well and has rhythm CONVENTIONSI have reviewed my spelling, capitalization, and punctuation for correctnessMy grammar, paragraphing, and usage are correct and help me define my style while also communicating clearly PRESENTATIONThe formatting suits the purpose of the workI use the appropriate amount of white space on the pageI use appropriate fonts, font size, titles, and headingIF YOU ANSWER WITH SOMETHING STUPID I WILL REPORT YOU FROM SO MANY DIFFERENT ACCOUNTS If the Latin root lucere means to shine, what does luminous mean? A. full of light; glowing B. able to create light; electrical C. to become daylight; sunrise D. a process of brightening; bleach Please help!! Trying to understand these. Which of the following inequalities is shown in the graph? y(line under) Which of the following factors helped make inland transportation and commerce possible in the United States please help I WILL MARK YOU!!!!!! Match the following wars to the effects they produced. The settlers forced many American Indians out of South Carolina. Most regions in Virginia fell under the settlers control. The American Indians lost control of most of New England.Powhatan WarKing Philips WarYamasee War Suppose a bulldozer is being hauled at 50 km/h to a construction site on the back of a flatbed truck. From which reference point would the bulldozer not appear to be moving? a.the road b.a traffic light c.the truck driver d.a roadside tree