what are the roots of x^2+7x+12
A:6&2
B:-6&-2
C:3&4
D:-3&-4​

Answers

Answer 1

Answer:

D

Step-by-step explanation:

x² + 7x + 12

to find the roots equate the expression to zero

x² + 7x + 12 = 0

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)

the factors are + 3 and + 4 , since

3 × 4 = 12 and 3 + 4 = 7 , then

(x + 3)(x + 4) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 4 = 0 ⇒ x = - 4

Answer 2

Answer:

D -3, -4.

Step-by-step explanation:

x^2 + 7x +12 = 0

12 = 3*4 and 7 = 3 + 4 so we write:

(x + 3)(x + 4) = 0

x + 3 = 0 ,  x + 4 = 0

So x = -3, -4.


Related Questions

Tierra is making steps for a doll houseshe has cut a piece of wood that measures 1.5 centimeters wide and 30 centimeters longeach step will measure 15 millimeters by 4 millimetersshe will make 21 steps for her doll housewhich are the dimensions of the wood that remains after tierra finishes making the 21 steps?

Answers

The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

How to determine the remaining dimensions?

The given parameters are:

Wood = 1.5 cm by 30 cm

Each cut = .15 mm by 4 mm

Steps = 21

The remaining dimension is calculated as:

Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm

Express mm as cm

Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm

Evaluate the difference

Remaining = 1.185 cm by 21.6 cm

Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

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What is 10 raised to the second power x2​

Answers

Answer:

100

Step-by-step explanation:

10 to the second power is 10^2. Therefore, that is 10x10.

This results in 100.

Answer:

100

Step-by-step explanation:

it is 100 because first you have to get 2 10's and times 10 x 10= and that equals 100 so thats how you get 100!


A watch which looses a half a minute every hour was set to read the correct time at 0445hr on Monday. Determine in twelve hour system the time the watch will show on Friday at 1845hr the same week.

Answers

Answer:

see below

Step-by-step explanation:

Using a 24 HOUR SYSTEM

The total time from Monday to Friday times given

 =  24 x 4   + (18:45 - 4:45) = 96 + 14  = 110 hours

110 hours  *   30/3600  = .91667  hours lost = 55 minutes lost

 watch will show   18:45   - 55 minute = 17:50    ( 5:50 in 12-hour system)

Solve for y when x = 5.
y = 3x + 4

Answers

Answer:

19

Step-by-step explanation:

Plug in

y = 3(5) + 4y = 19


Sum= 5; Product = 6

Answers

Answer:

2 and 3

Step-by-step explanation:

[tex]3*2=6\\3+2=5[/tex]

Whats is the answer with procedure. n=18, n=9 or n= 3

Answers

Answer:

n = 3

Step-by-step explanation:

Isosceles means that the left and right sides (non-parallel sides) are equal to each other and so the base angles are also equal to each other. Then you can make an equation with the 8n^2-11 set equal to the 2n^2+7.

see image.

To solve it you have to set everything equal to zero (get all terms on one side of the equation) FACTOR (you end up with the difference of two squares) and solve, using zero product property. See image.

Hey! So I need to study for my Algebra 1 finals can someone link me a video or give me a way to study for algebra 1. I have a week or so

Answers

Answer:

Review your state Standards.

Notes

Khan on your topic or grade level

Dealta Math

Math Nation

The number of siblings for a group of sixth grade students is shown below:
0, 1, 2, 1, 6, 0, 2, 0, 1, 10


Answers

What do you want us to find? Please state more info

The functions f(x)=−34x+214 and g(x)= (12)x+1 is shown in the graph.

What are the solutions to −34x+214= (12)x+1?

Select each correct answer.




−1

0

1

2

3
An exponential curve and a line graphed on a coordinate plane. The horizontal x-axis ranges from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 4 to 4 in increments of 1. The curve begins in the second quadrant. The curve decreases through begin ordered pair 0 comma 2 end ordered pair. The curve passes through begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair and exits the first quadrant. The line passes through begin ordered pair 0 comma 2.25 end ordered pair and begin ordered pair 3 comma 0 end ordered pair. The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair.

Answers

Answer:

  x = -1 and x = +1

Step-by-step explanation:

The solution to f(x) = g(x) is found where the graphs intersect.

__

Your problem statement tells you the solution:

  "The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair."

We interpret this statement to mean the points of intersection are ...

  (-1, 3) and (1, 1.5)

The x-values that make f(x) = g(x) are x=-1 and x=1.

HELP IM STUCK ON THIS

Answers

Answer:  Let's just say that each of the units are 1 inch in sides, and since it's an irregular shape you have to separate each shape. So, the rectangle I separated is 14 inches.

The semicircle is 12.56.

Adding those two answers together comes out to 26.56.

solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10

Answers

Answer:

x = 3, y = -1.

Step-by-step explanation:

4x + 5y = 7

y = 3x - 10

Substitute for  y = 3x - 10 in the first equation:

4x + 5(3x - 10) = 7

4x + 15x - 50 = 7

19x = 7 + 50 = 57

x = 57/19 = 3.

Now plug x = 3 in the second equation

y = 3(3) - 10

y = 9 -10

y = -1.

Give the final answers in scientific notation

Answers

Answer:

I'm assuming you want me to do 18-23?  Okay:

Step-by-step explanation:

18) 8.6(10^−4)+6.7(10^−5)

=0.000927 --> 9.27 × 10^-4

19)  3.5(10^3)−9(10^1)

=3410 --> 3.41 × 10^3

20)  5.6(10^4)(4.5(10^6))

=252000000000 -->  2.52 × 10^11

21)  7.6(10^−7)(8.9(10^−2))

=0 --> 0

22)  3.9(10^−12)/4(10^4)

=0 --> 0

23)  1.75(10^5)/5(10^−3)

=35000000 -->  3.5 × 10^7

-

Please comment below if you would like me to solve #24 :)

The bolded numbers are the answer, the underlined numbers are to show the question number.  Hope this helped !!

Q1 write in words following the international and pakistani number system

A) 312695

B) 5469724

C) 4003240

Answers

Answer:

Step-by-step explanation:

a) International: Three hundred twelve thousand six hundred ninety five
   Pakistani: Three lakh twelve thousand six hundred ninety five

b) International: Five Million four hundred sixty nine seven hundred twenty four

   Pakistani: Fifty Four crore sixty nine thousand seven hundred twenty four

c) International: Four Million three thousand two hundred forty

   Pakistani: Fourty Lakh three thousand two hundred forty

Hope it Helps! Mark its as brainiest

How to simplify the ratio of 40cm : 2m

Answers

I think it’s 1:5.

2m=200 cm
40 cm:200 cm =1:5

what is 24 x 24x 25 x 710.

Answers

Answer:

24 x 24 x 25 x 710 = 10,224,000

Step-by-step explanation:

24 x 24 = 576

576 x 25 = 14, 400

14,400 x 710 = 10,224,000

lo que da en total= 10,224,000

Answer:

10224000 i used a calculator

Step-by-step explanation:

Which expressions are equivalent?

Answers

Answer:

3x -7y = -7y+3x

Step-by-step explanation:

3x is positive and   7y is negative

We can reverse the order

3x -7y = -7y+3x

3x - 7y and 7y + 3x bc they're interchangeable

Group the terms with variables on one side of the equal sign and simplify.
19p = 10p + 54

9p = 54
9p = −54
29p = 54
29p = −54

Answers

Answer:

9p = 54

Step-by-step explanation:

19p = 10p + 54

Subtract 10p on both sides,

19p - 10p = 54

9p = 54

Step-by-step explanation:

my dear this is very very simple

you can definitely solve it by yourself.

just take "like terms" pit them at one side make (if a negative sign crosses to the other side of the "equal to sign" (=) it changes to positive and vice versa.

19p = 10p + 54

so grouping like terms:

10p will come and meet 19p (but it will carry the positive sign because it has crossed the '=' sign

so we have,

19p -10p = 54

since 19p and -10p are like terms so we can subtract (imagine 19 apples - 10 apples)

so we get:

9p = 54 ( 9 apples = 54)

option (A)

Hope this helps.

Ace that assignment.

Good luck ✅.

you're super free to ask any further questions okay.

What is the circumference of this circle, in millimeters? use startfraction 22 over 7 endfraction for pi. a circle with radius 49 millimeters. 154 308 484 968

Answers

The circumference of the circle with a radius of 49mm is 308mm

How to find the circumference of a circle?

The circumference of the circle is also known as its perimeter. The formula is expressed as:

C = 2pi r

r is the radius = 49mm

pi = 22/7

Substitute

C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm

Hence the circumference of the circle with a radius of 49mm is 308mm

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Answer:

B

Step-by-step explanation:

If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?

1.5 percent
2 percent
2.5 percent
3 percent

Answers

The Probability of a chain defect will be 3%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Let B  be the event that brake defect .

Let C be the event that chain defect.

Since we have given that

Probability of a brake defect P(B) = 4%

Probability of both chain and brake defect P(B∩C) = 1%

Probability of either brake or chain defect P(E∪C) = 6%

So, we need to find the probability of a chain defect.

As we know the rule of probability.

P ( B U C )  =  P(A) + P (B) - P ( B [tex]\cap[/tex] C)

6   =   4   +  P (C)  - 1

P (C) = 3

Hence, Probability of a chain defect is 3%.

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If f(x) = x² — 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
4
-2
2
04

Answers

Answer:

-2

Step-by-step explanation:

Given that;

f(x) = x² -2x

and g(x) = 6x + 4

(f + g)(x) = x²-2x+6x+4

:- x² +4x + 4 = 0

x² +2x +2x + 4 = 0

x(x + 2)+2(x + 2) = 0

(x + 2)(x + 2) = 0

:- x = -2

The sum of two numbers is 23. The difference of the numbers is 7.4. What are the two numbers?​

Answers

x+y=23
X-y=7.4

X+y=23
y=23-X

X-y=7.4
(23-y)-y=7.4
23-2y=7.4
-2y=-15.6
Y=7.8

X+y=23
X+7.8=23
X=15.2

Therefore the two numbers are 7.8 & 15.2

Len has a rectangular wooden deck that measures 14 feet by 25 feet he builds an addition to the deck that makes it 6 feet longer

Answers

Answer:

its 90

Step-by-step explanation: multiply it 6 by 14 feet, than add 6.  

6*14=84+6=90

Answer:

90

Step-by-step explanation:

trust me

PLEASE HELP USING ALL MY POINTS FOR THIS!!! WILLMARK BRAINLIST

A basketball team allows people to buy either a ticket (T), or an signed autograph ticket (S). If two customers buy one ticket each, what is the sample space for this? Select all the choices that are included in the sample space.

SSS

TTT

TST

TT

ST

TS

TSS

T

SST

STS

S

TTS

STT

SS

Answers

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space for the given situation is {CC, AC, CA, AA}.

What is a sample space?

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.

For the given situation, Let Buying a classical ticket be represented by T, while buying an autograph event ticket is represented by S.

Therefore, The sample space for buying either a classic ticket T or an autograph event ticket S from the table = {TT, TS, ST, SS}.

Hence, the sample space for the given situation is {TT, TS, ST, SS}.

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Solve for [x]. The pair of polygons are similar.
5x+2
B
16
The scale factor from A to B is 2:9

Answers

A 2 b 9 should be good

Coach Jamison wants to celebrate the final win of the school’s softball season with a trio to the local fast food place. The team buys 26 delicious burritos and 27 orders of savory chips for $86.90. A few of the players are still hungry so the coach buys 14 more burritos and 9 more orders of chips for $40.70. If you don’t include tax, what is the price of a burrito and the price of an order of chips?

Answers

The price of Burritos is $ 2.2 and the price of savory chips is $1.1

What is system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

The price of 26 delicious burritos and 27 orders of savory chips for $86.90

4 more burritos and 9 more orders of chips for $40.70

Let us consider the price of Burritos is x

and the price of savory chips is y

from the first statement we can form the equation

26*x +27*y = 86.9

and from the second statement we can form the equation

14*x + 9*y= 40.70

To determine the price of each we have to solve these system of equations.

On solving using elimination method

16x = 35.2

x = $2.2

and y = $1.1

Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.

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The price of Burritos is $ 2.2 and the price of savory chips is $1.1

What is system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

The price of 26 delicious burritos and 27 orders of savory chips = $86.90

The price of 14 more burritos and 9 more orders of chips = $40.70

Let us consider the price of Burritos is x

and,  the price of savory chips is y

Now,

26x +27y = 86.9

and

14* + 9*= 40.70

On solving above two equation, we get

16x = 35.2

x = $2.2

and y = $1.1

Hence,  price of Burritos is $ 2.2 and the price of savory chips is $1.1.

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Subtract 59.05 from 70.00​

Answers

Answer:

-10.95 hope it helps so yeah and if it's wrong sorry

Answer:

10.95

Step-by-step explanation:

When solving a problem like this you can just take the decimals then add then back at the end for example. ...

7,000

-

5,905

_______

1,095

Then, add the decimal back in its original spot to give you 10.95

Hope this helps!

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 10. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.

Answers

The interval of systolic blood pressure will be between 155 to 95

What is the standard deviation?

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

From the question, we are told that

Mean  x=125

Standard deviation = 10

The Percentage for men =99.75%

Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 10

Mean x= 125

Generally, the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G = Mean ± (3x [tex]\sigma[/tex])

G= 125 ±  (3 x 10)

G= 125 ±  (30)

G = 155 and 95

Hence the interval of systolic blood pressure will be between 155 to 95

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Answer:

Step-by-step explanation:

100 PTS AND WILL GIVE BRAINLY!!!

THE SCENARIO
The Tortoise and the Hare finally have their long awaited rematch. The Tortoise gets a
300 m lead and runs at 0.2 m/s. The Hare begins at the starting line and runs at a rate of 2 m/s. There is also a rat in this race. The Rat starts 350 m ahead of the Hare and runs back towards the starting line at a rate of 0.6 m/s.

THE CALCULATIONS
Create a table of values for each runner in the race. The domain for the race will be 0 ≤ t ≤ 200 seconds. You can decide on 5 time intervals for your table.

Answers

Answer:
Tortoise:

Hare:
Rat:

All will be shown later

Step-by-step explanation:

Equation for Torotise: f(x)=0.2(x)+300

Equation for the Hare: f(x)=2(x)

I hope it helps! I will show you screenshots in the comments

A pen was attached to a table by a small 10-inch chain. Jason lifted the pen, pulled the chain as far as it would reach, and then drew a circle as shown below.

Answers

The circumference of the circle that Jason drew is gotten as; 62.80 inches

How to find the circumference of a circle?

Since Jason lifted the pen and pulled the chain as far as it would reach before drawing a circle, then it means that;

radius of circle; r = 10 inches

Formula for circumference is;

C = 2πr

Thus;

C = 2 * 3.14 * 10

C = 62.80 inches

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hi can you ya'll help me​

Answers

__
4V3
Sorry I’m not sure how to make the sign so please get the image of the text

Step-by-step explanation:

[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]

Simplify,then combine each:

[tex] = 4 \sqrt{3} [/tex]

or

[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]

=5.196+1.732

=6.928

[tex] \approx6.930[/tex]

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