Match the reasons with the statements.

GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms

2. x2 + 8x + 12 = 0 Distributive Postulate

3. (x + 6)(x + 2) = 0 Zero product postulate

4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality

5. x = -6 or x = -2 Given

I WILL REPORT U IF U DONT ANSWER CORRECTLY AND FULLY!!!!

Answers

Answer 1

Answer:

Concept: Mathematical Derivation

We are given x^2 +6x+2x+12 Hence we simplify: x^2 + 8x +12 Now we factor: (x+2)(x+6) By mathematical logic we now proved that the roots are x=-2 and x=-6 Give brainlist and rate positively

Related Questions

Which equations and/or functions represent the graphed line? Select three options.


f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2+1
y-3=1/2(x-2)
y-1=1/2(x+2)

Answers

Answer:

The second one, the fourth one, and the fifth one.

f(x)=(1/2)x+2

y-3=1/2(x-2)

y-1=1/2(x+2)

The three equations that represent the graphed line are:

f(x) = (1/2)x + 2

y - 1 = (1/2)(x + 2)

y - 3 = (1/2)(x - 2)

To identify which equations and/or functions represent the graphed line, we can compare the given equations with the characteristics of the graph.

The graphed line appears to have a slope of 1/2 and passes through the point (0, 1). Let's check the options:

f(x) = (1/5)x - 4: This equation has a slope of 1/5, not 1/2, so it does not represent the graphed line.

f(x) = (1/2)x + 2: This equation has the correct slope of 1/2, but it does not pass through the point (0, 1), so it does not represent the graphed line.

f(x) = (1/2) + 1: This equation is not in slope-intercept form and does not represent the graphed line.

y - 3 = (1/2)(x - 2): This equation has the correct slope of 1/2 and passes through the point (2, 3). However, it does not pass through the point (0, 1), so it does not represent the graphed line.

y - 1 = (1/2)(x + 2): This equation has the correct slope of 1/2 and passes through the point (−2, 1) (after rearranging to slope-intercept form). It also passes through the point (0, 1), which matches the graph.

The three equations that represent the graphed line are:

f(x) = (1/2)x + 2

y - 1 = (1/2)(x + 2)

y - 3 = (1/2)(x - 2)

To know more about equations:

https://brainly.com/question/10724260


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Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.

Answers

353.25

a=(3.14*15^2)/2

a=706.5/2

a=353 sq in

help plsss
A= {2,3,4,5}
B= {c,d,e,f}
C= {4,5,6,7}

Answers

Answer:

this isn't an answer just need these points

Step-by-step explanation:

I know the answer is 30 percent but I need the work

Answers

Answer:

See work below.

Step-by-step explanation:

There are 20 total blocks. 6 of them are painted. We can divide 6 by 20 and multiply that number by 100 to find the percentage of painted blocks.

6/20 = 0.3

Now, we need to multiply by 100 to convert to a percentage.

0.3 x 100 = 30%

Answer:

30% work below

Step-by-step explanation:

There are 20 squares in total if 6 are painted you get the fraction.

[tex]\frac{6}{20} /\frac{2}{2} = \frac{3}{10}[/tex]

3/10 as a decimal is .3

.3 as a percent is 30% because you move the decimal to the right 2 times.

Hope this helps ya!

solve the following using factoring x²+12=7×​

Answers

Answer:

(x-4)(x-3)

Step-by-step explanation:

x^2+12=7x  move the 7x to the other side

x^2-7x+12

(x-4)(x-3)

60% convert into fraction (lowest term, step by step explanation).

Answers

Answer:

60/100

=6/10

=3/5

Step-by-step explanation:

kind of stuck here , & yeah I need help , please help omg-

Answers

Answer: (4,-6) , do u need help on the bottom question?

Step-by-step explanation:

21/35 as a decimal rounded to the nearest tenth

Answers

21/35= 0.6 you use simple math

all right guys help me out a little bit no jokes this is worth 13 points I need help with 432 / 73​

Answers

Answer:

5.91780821918

Step-by-step explanation:

432/73 is the same as 432 ÷73=5.91780821918

Hope this helps ∞<3

There are 40 questions in a test and you get 75 % correct. How many
questions do you get right?

Answers

Answer:

30

Step-by-step explanation:

To solve this problem the way I would do it would be:

75% = 3/4

40 ÷ 4 = 10 × 4

Since you have 75% or 3/4 you add 1/4 3 times. 1/4 of 40 is 10 so add 10 3 times.

10 + 10 + 10 = 30

Answer:

[tex]30[/tex]

Step-by-step explanation:

[tex]40 \times \frac{75}{100} = \\ 40 \times \frac{3}{4} = 30[/tex]

Find the volume of the rectangular prism

Answers

Answer:

Should be 9 in.

Simplify each expression by combining like terms.
7a - 6 + 8a ​

Answers

=7a - 6 + 8

=7a + 8a - 6 =15a - 6

Help me please !!!!!!!

Answers

Answer:

1 = 40

2 = 140

3 = 40

4 = 140

5 = 40

6 = 140

7 = 40

Step-by-step explanation:

A straight line is 180 so I did 40 because 140 + 40 = 180. once I figured 3 out I basically had the rest.

IM HONESTLY DESPERATE THIRD TIME DOING THIS WILL BRAINLEIST- what are some similarities and differences of incenter and circumcenter of triangles?

Answers

Answer:

Incenter is the point for a triangle where the center of the circle that will be drawn to be tangent to all three sides of the triangle, the circle will be inside (inscribed within ) the triangle. The incenter is the point where all three angle bisectors of the triangle intersect. The incenter is the point that is equidistant from all three sides of the triangle. The perpendicular distance to each side will be a radius of the incenter circle

Circumcenter is the point for a triangle where the center of the circle that will be drawn that is tangent to all three vertices of the triangle. The circle will be outside (circumscribed about) the triangle. The circumcenter is the point where all three perpendicular bisectors of the sides of the triangle intersect. The circumcenter is equidistant to all three vertices of the triangle.The radii of the circle will touch each of the three vertices of the circle .

what is the coordinates of B?

Answers

Answer:(-4,1)

Step-by-step explanation:

x: Since it said x+1 you move it over to the right one unit because the left to right is positive on a graph. So that would make the x-coordinate go from -5 to -4.

y: Since it said y-3 you would move it down three units because top to bottom is negative on a graph. so that would make the y-coordinate go from 4 to 1.

I hope this helps!!    :)

Help please
Simplify the expression: (a^5)^3 *
A.a^8
B.a^2
C.a^15
D.a^(-2)

Answers

D

Step-by-step explanation: im smart

3n +15 for n =4
what is the answer​

Answers

Answer:

the correct answer would be 27

Step-by-step explanation:

So first things first you need to replace n with 4

3n+15

(3)(4)+15

=12+15

=27

Hope this helps have an amazing day!!

Answer: 27

Step-by-step explanation:

-We would need to substitute the value of the variable into the equation and simplify.

-We will be plugging in 4 for n.

Step 1: Plugging in.

3 * 4 = 12

Step 2: Addition.

12 + 15

Final Answer: 27

pls help will give brainless to the person help picture is the question​

Answers

Answer:

Part 1) Geometric sequence

Part 2) 64 minutes or one hour and four minutes to complete station 5.

Part 3) 512 minutes or 8 hours and 53 minutes to complete station 8.

Step-by-step explanation:

Trust me. I used my calculator.

In the diagram below, we have ST parallel to QR. Angle P is 40 degrees, and angle QST is 2 times angle R plus 8 degrees (2R+8). Find the measure of STR in degrees. Thankyouu

Answers

Answer:

4th and 3rd of August is

Step-by-step explanation:

ok is the only

Yo can I get some help with this !

Answers

Answer:

45

Step-by-step explanation:

Answer:

a = 45

b = 15

Step-by-step explanation:

From the information given, you can deduce that both ΔPQR and ΔPSR are isosceles triangles that share base PR. This means that ∠a = ∠SRP because the base angles of an isosceles triangle are always congruent.

Because the vertex of ΔPSR is 90°, you know that the base angles add up to 90 because 180(sum of a triangle's angles) - 90 = 90. 90/2 = 45, so a = 45.

To find b, you need to subtract the base angle of ΔPSR from the base angle of ΔPQR. ΔPQR's base angle is 60, because 180 - 60 = 120 and 120/2 = 60. 60 - 45 = 15, so b = 15.

There are 130 people in a sport centre. 61 people use the gym.

68 people use the swimming pool.

60 people use the track.

25 people use the gym and the pool.

30 people use the pool and the track.

19 people use the gym and the track.

6 people use all three facilities.

Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Step-by-step explanation:

Number of people who uses the gym and the track, and also uses the pool = Number of people who use all 3 facilities = 6. (given)

Number of people who uses the gym and the track, and may or may not use the pool = 19. (given)

Therefore number of people who use the gym and track, but do not use the pool = 19 - 6 = 13.

Probability = (13/19) * 100% = 68.4%.

PLS ANSWER BOTH PARTS FOR BRAINLIEST ANSWER !!


Chelsea is training for a race. From last month to this month, she decreased her average pace in minutes per mile by 12%. Write two different equations to epresent the relationship between p, Chelsea's average
pace last month, and n, Chelsea's new average pace.



Last month, Chelsea ran at an average pace of 7.5 minutes per mile. On average, how long, in minutes,
does it take Chelsea to run one mile this month?

Answers

28 or 15 I’m bad at math I’m guessing

Write down two properties of parallelogram.

Can somebody help me? Pls

Answers

Answer: Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

these are all the choices lol

Step-by-step explanation: Brainliest pls

Answer:

Step-by-step explanation:

Properties of parallelogram:

1) opposite sides are equal and parallel.

2) opposite angles are equal.

3) diagonals bisect each other.

[Shapes]
How many degrees is ZA’BC in this cube?
please help me i don't understand​

Answers

yeah same idekkk but obviously each side is 90 degrees bc it’s a 90 degree angle

This question is worth 65 points. These are all my points. Please answer now. Algebra 2. I will mark you brainliest.
Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.

Answers

Answer:

zeros: x=0

asymptotes: x=-4,4

Step-by-step explanation:

To find the zeros, you substitute 0 into f(x).

0=4x/x^2-16

x=0

To find the asymptotes you

x^2-16=0

x^2=16

x= plus or minus 4

Are these good notes on math?
Quarter 2 Lesson 4: Scientific Notation

All Vocabulary words learned in 2020
A base is the number being used as a factor in an exponential expression.
An exponent is the number that shows how many times a base is used as a factor.
An equation is a statement that tells you two expressions are equivalent.
A cube root is any number that is multiplied together three times to get the original number.
A perfect cube is the product of an integer multiplied together three times.
A repeating decimal is a decimal that never ends but instead repeats the same digit or group of digits over and over.
A terminating decimal is a decimal that ends, or terminates.
An irrational number is a number that cannot be expressed as the quotient of two integers. The decimal never terminates or repeats.
A rational number is a number that can be expressed as the quotient of two integers.
A power of ten is a number that can be written as a product of tens.
Scientific Notation is a way to express a number as the product of a number greater than or equal to 1 but less than 10 and a power of ten.
A function is a relationship between an independent variable,x, and a dependent variable,y, where each value of x (imput) has one and only one value of y (output)

Answers

Answer:

yes

Step-by-step explanation:

it sounds good to me

I AM ON A TIMER!! HURRY PLEASE!!!!


What is the answer to this?



Answers

Answer:

(1,6) and (4,6)

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

It's where the two lines cross, or where that black dot is.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Logan is working two summer jobs, making $18 per hour tutoring and making $10 per hour clearing tables. In a given week, he can work a maximum of 13 total hours and must earn at least $170. If xx represents the number of hours tutoring and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: he could work 7 hours tutoring and 6 hours clearing tables

Step-by-step explanation:

The system of inequalities can be used to find the number of hours Logan

can spend on each job in a week.

Response:

The system of inequalities are;

x + y ≤ 1318·x + 10·y ≥ 170

A possible solution of the system of inequality obtained from the graph is the point (5, 8)

x = 5, and y = 8Methods used to solve the inequality graphically

The amount Logan makes per hour tutoring = $18 per hour

The amount he makes clearing tables = $10 per hour

Number of hours Logan can work in a week = 13

Amount he must earn in a week = At least $170

Number of hours he spends tutoring = x

Number of hours he spends clearing tables = y

Based on the given information, we have;

x + y ≤ 1318·x + 10·y ≥ 170

Please find attached the graph of the above inequality showing the feasible region.

A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;

A possible solution is x = 5, y = 8

Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.

Learn more about inequalities here:

https://brainly.com/question/8284035

I(t) = 27, 992 * (1.017) ^ t covert to log

Answers

Answer:

By 2034 Texas per capita income would reach at least $50,000

Step-by-step explanation:

Given;

[tex]I(t) = 27,992(1.017)^t[/tex]

Converting the given function to log;

[tex]I(t) = 27,992(1.017)^t \\\\\frac{I(t)}{27,992} = (1.017)^t\\\\Log_{1.017} ( \frac{I(t)}{27,992} )= t \\\\(Based \ on \ log \ rule; if \ a = b^y , in \ log \ it \ will \ be \ written \ as, Log_b \ a = y)[/tex]

(B) When I(t) = $50,000, the time "t" will become;

[tex]Log_{1.017} ( \frac{I(t)}{27,992} )= t\\\\Log_{1.017} ( \frac{50,000}{27,992} ) = t\\\\Log_{1.017} (1.7862) = t\\\\34.4 \ years = t[/tex]

Thus, by 2034 Texas per capita income would reach at least $50,000

what is the answer to this problem 9.87 x 10^1

Answers

Answer:

=9.87x10

Step-by-step explanation:

Simplifies to:

9.87x10

=9.87*x10

=9.87*(x*x*x*x*x*x*x*x*x*x)

=9.87x10

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His monthly earnings can be expressed with the equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.Karen has a part-time job babysitting, where she earns $6 per hour. She also walks dogs and earns $4 per dog that she walks. Her monthly earnings can be expressed with the equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.Before you begin, decide with your partner who will work with Seth's information and who will work with Karen's information.Working with the EquationsWork SeparatelyEach partner must change the equation that represents his or her chosen college student to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.Write the equation in function notation. Explain what the graph of the function represents. 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