Mathematics High School

What two steps are necessary to put this equation into standard form?
x^2-3x+27=8x-3

A. Add 3 to both sides and subtract 8x from both sides.
B. add 3 to both sides and add 8x from both sides.
C. the equation is already in standard form.
D. Subtract 3 from sides and subtract 8x from both sides.

Answers

Answer 1
x² - 3x + 27 = 8x - 3     аdd 3 to both sides  ⇒
           + 3          + 3
---------------------------
x² - 3x + 30 = 8x         subtract 8x from both sides ⇒
    - 8x          - 8x
--------------------------
x² - 11x + 30 = 0    ←  standard form


A. Add 3 to both sides and subtract 8x from both sides.

Related Questions

What is the value of x 20 35 60 70

Answers

x+40 =3x (vertical angles)
2x = 40
x = 20

answer  is A. 20 (first choice)

Answer:

Value of x is:

20

Step-by-step explanation:

Clearly, the two angles are vertically opposite

and vertically opposite angles are always equal

So, x+40=3x

Subtracting both sides by x, we get

x+40-x=3x-x

i.e. 40= 2x

Dividing both sides by 2, we get

x = 20

Hence, Value of x is:

20

Which of the following inequalities matches the graph?

graph of an inequality with a solid vertical line through the point negative 7, 0 and shading to the left of the line

Answers

x < = -7...solid vertical line means there is an equal sign in the problem...shading to the left or down means less then. A vertical line is represented by x = a number, and that number being the x value in ur set of points.

What is the slope and the y intercept of the line y=6x-9?

Answers

The slope is:  6 .
The y-intercept is:  -9  ;  (or, more precisely:  "(-9, 0)" .
_________________________________________________
   Note:  The line in written in "point-slope form"; also known as:
"slope-intercept format" ;  that is:  " y = mx + b"  ; in which:
                                              m = slope = coefficient of "x" ; 
                                              b = "y-intercept" (or, more precisely; the value
                                                  of "x" in the "x-coordinate" of the point of the 
                                                   "y -intercept).
__________________________________________________
    So:   Given:  y = 6x - 9 ;   m = slope = 6 ;
                                             b = -9 .
__________________________________________________

Hello there! :)

This equation is written in slope-intercept form. which means we can easily idenify the slope and the y-intercept.

First of all, slope-intercept form looks like this:

y=mx+b

The letter m represents the slope, while the letter b represents the y-intercept.

Now, let's look at the values that we have.

We are given the equation of the line:

y=6x-9

We know that m is the slope; therefore, in this equation, 6 is the slope.

-9 is the y-intercept (the letter b)

Therefore, 6 is the slope and b is the y-intercept.

I hope it helps you. Let me know if you have any queries.

~A smiley teen

[tex]MagicalNature[/tex] here to help

HELP! 5/x+3 - 3/x-2 = 5/3x+6 please show your work. :)

Answers

here is a condensed solution

Identify the property used in the first 5 steps to solve the equation 2(x-5)-6x=-22

Answer choices:
Step 1: Associative, Commutative or Distributive Property
Step 2: Associative, Commutative or Distributive Property
Step 3: Addition or Multiplication Property of Equality
Step 4: Addition Property or Combine Like Terms
Step 5: Addition or Multiplication Property of Equality

Answers

[tex]2(x-5)-6x=22[/tex] ⇒ We start by multiplying out the bracket and this property is called DISTRIBUTIVE property 

[tex]2x-10-6x=-22[/tex] ⇒ from here the next step is simplifying by collecting like terms

[tex]2x-6x-10=-22[/tex] ⇒ The simplifying process is the application of COMMUTATIVE property since this property allows us to 'group' the like terms together. In other words, this property allows us to move the [tex]-6x[/tex] next to the [tex]2x[/tex]. 

[tex](2-6)x-10=-22[/tex] ⇒ This what actually happened when we simplify [tex]2x-6x[/tex], we work out the sum of [tex](2-6)[/tex] and the answer is multiplied back to [tex]x[/tex]. This is called the ASSOCIATIVE property as we 'associating' the constant of the like terms.

[tex]-8x-10=-22[/tex] ⇒ Adding 10 on both sides to eliminate [tex]-10[/tex] on the left hand side of equation

[tex]-8x=-22+10[/tex]
[tex]-8x=-12[/tex]
[tex]x= \frac{-12}{-8}= \frac{3}{2}=1.5 [/tex]

Hence, the steps are

STEP 1
STEP 4
STEP 2
STEP 3
STEP 5

Answer:

Distributive property

Step-by-step explanation:

What is the square root of 26 in simplest radical form?

Answers

Final answer:

The square root of 26 in simplest radical form is just √26, as 26 has no perfect square factor. It can also be expressed as 26 raised to the power of 0.5 based on the concept of fractional powers corresponding to roots.

Explanation:

The square root of 26 in its simplest radical form cannot be simplified further as a perfect square factor because 26 is not a perfect square. However, if we apply the concept of expressing numbers as fractional powers, we can say that any number 'x' squared, written as x², is equivalent to the square root of 'x'. Thus, the square root of 26 can also be written as 26 to the power of 0.5 or 26⁰.⁵.

Expressing the concept mathematically, we can write the square root of any number 'x' as x to the power of 0.5, which is a helpful way to solve for unknown values in various equations. This idea is useful in scenarios where different roots of a number or expressions involving fractional exponents are to be calculated, and it is essential to remember that the square root is just another form of an exponent.

Evaluate 5a^2 + 2b^3 when a=4 and b =-4

Answers

Hello there! How are you today?

5a^2 + 2b^3, solve when a = 4 and b = -4

To solve for this, we must replace "a" with 4, and "b" with -4.

I will set it up;

5(4^2) + 2(-4^3)

Simplify the parenthesis (PEMDAS).

5(16) + 2(-64)

Remove the parenthesis by multiplying them by the numbers to the outside of them.

5 x 16 = 80
2 x -64 = -128

We are now left with:
80 - 128

Simplify.

-48 is your final answer.

I hope this helps!

A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.

Answers

A ball is at it maximum height when its velocity is zero.  y = 4+30t - 16t^2 is the formula, where
V = V(0) -32t
0 = 30- 32t
t = 15/16 seconds when its velocity is zero.
It is not at its maximum height but is falling.

Suppose you are making yourself a sandwich. how many different sandwiches can you make if you have 4 choices in bread, 2 choices in meat, and 5 choices in cheese?

Answers

you would have 40 Choices

What is the answer to this?

Answers

The answer is 6. 108 people divided by 18 people ( i cake ) 
To get the answer just simply divide

108/18= 6

So she will need 6 cakes to feed 180 people

what is the common difference in the arithmic sequence 30,27,24,21,18

Answers

if you have two terms in a sequence, then a term decreased by the previous term=common difference

so
30 and 27

27 decreased by 30 is -3

the common differce is -3

Answer:

-3

Step-by-step explanation:

Its decresing by -3.

Where can the perpendicular bisectors of the sides of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
 

A. I only
B. II only
C. I or II only
D. I, II, or II

please show your work

Answers

It is B because, I drew a diagram of 2 right triangles, and used my protractor so I won't get an inaccurate answer. 

(Solve for v) 2v − 6 = 4

Answers

2v-6=4
[add 6]
2v=10
[divide by 2]
v=5

From January through October, ACE Autos sold 150 cars. The number of cars sold in November and the number of cars sold in December were in the ratio of 3:5. If the total number of cars sold in the year was 390, find the number of cars sold in December. Solve algebraically.

Answers

390-150 = 240 cars were sold in November & December

 ratio is 3:5

240/8 = 30

30*3 = 90

3*5 = 150

90 cars sold in November

150 cars sold in December

Which function represents g(x), a reflection of f(x) =2/5 (10)x across the x-axis? g(x) =-2/5 (10)x g(x) =-2/5(1/10)^x g(x) =2/5(1/10)^-x g(x) =2/5 (10)-x

Answers

all values of f(x)  will change from positive to negative if you reflect in x-axis.

So the first choice is the correct one.

Answer:

A. [tex]g(x)=-\frac{2}{5}(10)^x[/tex].

Step-by-step explanation:

We are given the function [tex]f(x)=\frac{2}{5}(10)^x[/tex].

Now, g(x) is obtained by reflecting the function f(x) over x-axis.

Reflection of f(x) over x-axis changes f(x) to -f(x).

So, we get,

[tex]g(x)=-f(x)[/tex]

i.e. [tex]g(x)=-\frac{2}{5}(10)^x[/tex]

Thus, the reflected function is [tex]g(x)=-\frac{2}{5}(10)^x[/tex].

So, option A is correct.

Both windows are congruent. What is the combined area of the two windows?

Answers

The area of the triangle is 3 because b•h/2, and the area of the rectangle is 3 because l•w, added together that equals 6, and doubled that equals 12. So I think the answer is C, 12 square feet.
10.5. Please answer my question as well!

(05.03)The equation shows the relationship between x and y:

y = −7x + 9

What is the slope of the equation?
−7
−2
7
9

Answers

In y = mx + b form, the slope will be in the m position

y = mx + b
y = -7x + 9

notice that in the m position, the number is -7. That means ur slope = -7

Answer:

Option 1)  -7  

Step-by-step explanation:

Given : The equation shows the relationship between x and y : [tex]y=-7x+9[/tex]

To find : What is the slope of the equation?

Solution :

The general slope form of the equation is [tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Now, We compare the given equation with general form of the equation

[tex]y=-7x+9[/tex]

On comparing, m=-7 and b=9

So, The slope of the given equation is -7.

Therefore, Option 1 is correct.

A car is a vehicle with four wheels.
Rewrite the statement as a true conditional with a converse that is false.
Write a similar true conditional with a converse that is true

Answers

Answer:

If a vehicle does not have 4 wheels, it is not a car.

Dont forget to give brainliest and thanks

Use the distributive property to remove the parentheses.
-5(5v-4x-1)

Answers

-5(5v-4x-1)

You need to multiply all the variables in the parentheses by -5.
(-5*5v) - (-5*4x) - (-5*1)

-25x + 20x + 5
= -5*5v -5*-4x -5*-1

=  - 25v + 20x + 5

Joan likes to watch the birds in her yard.one morning,she notices that there are twice as many robins as blue jays.if she counted 21 blue jays and robins in all, how many blue jays did she count. Need help badly

Answers

21 divided by 3 = 7
14 robins 
7 blue jays

what operation represents a ratio

Answers

The operation that would represent a ratio would be division. A ratio, in mathematics, relates two numbers which indicates how many time is the first value contains the second value. It says how much of something is there as compared to another thing. For example, we have 3 blue circles to 1 red circle, it would be written as 3/1 or 3:1.  Ratio and division are closely related. However, ratio is a relationship between things and division is an operation that can be used in this relationship but is not limited to this problem. If you are given 14 dogs, 7 chickens and 21  cows, the ratio would be 2:1:3. Indeed, you have divided the values but this is a ratio problem rather than a division problem.

Chris bought clothes for school. She bought 3 shirts for $12 each and a skirt for $15.

How much did she spend on the shirts?

Question 1 options:

Answers

3 times $12 is 36. So she spent $36 on the shirts. :)



Are the following figures similar?

Answers

no the corresponding angles are not congruent, because the angle measures on the smaller figure are 90, 90, 137, and 43, while the larger figure has angle measures of 90, 90, 136, 44. that is why the following figures are not congruent.

The amount of candy left in a Halloween bucket is given by the function A(t) = 50(0.8)t where t stands for the number of minutes the candy is available and A(t) stands for the amount of candy left at any given time. How much candy is there after five minutes?

50 pieces

40 pieces

16 pieces

200 pieces

Answers

I think that equation is supposed to look like this:
[tex]A(t)=50(.8) ^{t} [/tex]
The reason I say that is because this is an exponential decay problem, with a starting amount of 50 pieces of candy.
If that's the case, then it would look like this with a t value of 5:
[tex]A(5)=50(.8) ^{5} [/tex]
and [tex]A(5)=50(.32768)[/tex]
so the amount of candy left after 5 minutes is 16.384 or 16

Suppose that y varies inversely with x, and y=0.2 when x=2. What is an equation for the inverse variation

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \begin{cases} y=0.2\\ x=2 \end{cases}\implies 0.2=\cfrac{k}{2}\implies 0.2\cdot 2=k\implies 0.4=k \\\\\\ thus\qquad y=\cfrac{0.4}{x}[/tex]

What is the sum of 12 and the quantity 8 times a number k is equal to 48? It was on my math homework, it hardly makes any sence to me, please help me, whats the answer?

Answers

Final answer:

The question is asking for the solution to the algebraic problem 12 + 8k = 48. By isolating 'k', it is found that the value of 'k' is 4.5.

Explanation:

The problem presented here belongs to the branch of algebra. It is showing a relationship between the sum, multiplication, and is presented in a typical algebraic equation format. Let's break it down:

The sum of 12 and a number (which is 8 times k) is equal to 48. This can be written in equation form as:

12 + 8k = 48

To find the value of k, we need to isolate 'k' in the equation. First, subtract 12 from both sides of the equation:

8k = 48 - 12

Then, simplify the right side:

8k = 36

Finally, divide both sides by 8 to solve for k:

k = 36 / 8

So, k = 4.5.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ12

A drawing shows 4 apples and 6 bananas. Which is the ratio of bananas to apples? 6:4 3:2 6 4 all of the above

Answers

 4 apples and 6 bananas

so ration bananas to apples = 6:4 or 3:2  or 6 4

answer is 

all of the above
We can set up this question like this to help understand it better....

Bananas : Apples
6 : 4   ----->  *** You would think this is the answer but it isn't! *** 

Why you may ask... it's because this ratio can be simplified. Yes it is very much like a fraction! 

So when we simplify 6 : 4 we will get this ratio as the answer!! 
3 : 2 

I hope this helps you! :D 

Please help me explain your answer

Answers

convert 2 2/5 into a fraction

2 2/5 = 12/5

12/5 * 1/9 =12/45 reduces to 4/15

My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month. How much will I need to pay each month?"

Answers

585/3 = 195 + 50 = $245

Answer:

$245

Step-by-step explanation:

Given : My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month.

To Find:  How much will I need to pay each month?"

Solution:

Past due bill = $585

Now  just made payment arrangements for the next 3 months to keep my account from being suspended

So, Payment each month of past bill = [tex]\frac{585}{3}=195[/tex]

My normal monthly bill is $50.00 per month.

So, I need to pay per month = $50+$195= $245

Thus ,I need to pay $245 per month .

The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?

Answers

This isosceles acute triangle has 2 equal sides (let it be a and the third = 8
To have a triangle we should comply with the following inequality:
a + a > 8
2a > 8
and a>4



Final answer:

To comply with the triangle inequality theorem, the smallest possible length of the congruent sides in an acute isosceles triangle with the longest side being 8 centimeters, would be slightly greater than 4 centimeters, rounded to the nearest tenth (4.1 centimeters).

Explanation:

In the context of an acute isosceles triangle, the longest side is the base and the other two sides are congruent or have equal length. The smallest possible length of the congruent sides comes into play in respect of the triangle inequality theorem, stating that the sum of the lengths of any two sides must be greater than the length of the third side. Thus, for the smallest possible length, each of the congruent sides must hence be just slightly larger than half the length of the longest side. So for an 8 centimeter base, the smallest length for the congruent sides should be slightly more than 4 centimeters, let's call it 4.1 centimeters, when rounded to the nearest tenth.

Learn more about Acute Isosceles Triangle

https://brainly.com/question/30126223?referrer=searchResults

#SPJ12

Other Questions
What causes you to pay the prices that you do for these goods and services? What determines the price that's on the price tag? What goes into determining, or setting, that price? write an integer for the situation below : 13 feet below the sea level Discuss the effects of cultural continuity and change on organizational succession planning. provide two examples. Which class has 32% girls? Which of the following are characteristics of Mannerist painting? During photosynthesis, water and carbon dioxide become glucose and oxygentrue or false A longitudinal study that traced the development of sensation seeking from early adolescence to the mid-20s found that increases in sensation seeking were notable from ages _____. A pyramid and prism have the same base area and height. The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid? The volume of the pyramid is __________ cubic units. Enter the number that correctly fills in the blank in the previous sentence. The average national basketball association player is over 6 feet tall. the average horse jockey is shorter than 5 1/2 feet tall. this is because height provides nba players with: Pan finds it difficult to learn the alphabet, until he hears the alphabet song. then he can easily remember it. this is an example of ________ encoding. What is the square root of 26 in simplest radical form? What is the sum of 12 and the quantity 8 times a number k is equal to 48? It was on my math homework, it hardly makes any sence to me, please help me, whats the answer? Tony plans to deposit $1,000 at the end of each of the next three years. if his funds earn 5% compounded annually, how much will he have at the end of three years? what operation represents a ratio In what way did the mongol empire resemble the arab, chinese, and roman empires? in what ways did it differ from them A rubric shows the percent of correct answers required to achieve a certain grade. True or false A client with acute lymphocytic leukemia is receiving vincristine. prior to infusing the drug, the nurse administers diphenhydramine. the nurse should inform the client that the expected outcome of using diphenhydramine in this situation is to: The amount of candy left in a Halloween bucket is given by the function A(t) = 50(0.8)t where t stands for the number of minutes the candy is available and A(t) stands for the amount of candy left at any given time. How much candy is there after five minutes? 50 pieces 40 pieces 16 pieces 200 pieces Where can the perpendicular bisectors of the sides of a right triangle intersect?I. inside the triangleII. on the triangleIII. outside the triangle A. I only B. II only C. I or II only D. I, II, or II please show your work What was the result of preston brooks's caning of massachusetts senator charles sumner in 1856? Steam Workshop Downloader