X2-12x+21=-6 solve the quadratic by factoring

Answers

Answer 1

Answer:

(x-3)(x-9)

Step-by-step explanation:

first thing you need to do is move the -6 over. so we're going to add 6 to both sides (we add because it's negative 6 and we need 0 on the right side)

so you have: x^2-12x+27

now we need to come up with two numbers that add to -12 and multiply to 27.

the factors of 27 are 9 & 3 and 27 & 1. only 9 & 3 add to 12 so we are going to use those.

since the 12 is negative however, 9 and 3 should both be negative.

therefore we get: (x-3)(x-9)

*it doesn't matter which order you put them in!


Related Questions

can u help plz
the binary is a secret message, not relevant to the question.

01110100 01101000 01100001 01101110 01101011 01110011 00100000 01100110 01101111 01110010 00100000 01110100 01101000 01100101 00100000 01101000 01100101 01101100 01110000 00100001 00100000 01101001 01101100 01111001

Answers

Answer:

All false.

Step-by-step explanation:

The ratio is 3:4.

For every 3 girls, there are 4 boys.

If a class has 7 people, 3 are girls and 4 are boys.

Hence the fraction of boys is 4/7 and girls are 3/7.

Therefore, a and b are False.

The number of boys in the class cannot be 6. If the number of boys is 6, then the number of girls must be 4.5 to maintain the 3:4 ratio, but there cannot be half a girl. So, c is also false. d) the number of pupils in the class is 12. To maintain a 3:4 ratio, the number of pupils in the class must be in multiples of 7. Hence, d is also false.

2) Which set of ordered pairs represents a function?
a) {(2, 3), (3, 5), (2.0), (5,3)}
b) {(4,2), (8, 2), (-3, 2), (1, 2)}
c) {(-3, 4), (-3, 2), (-3,-4), (-3, 7)}
d) {(5,8), (-4,0), (0, -3), (5,-3)}

Answers

Answer:

B

Explanation:

A function cannot have two or more points with the same x value.

Answer choice B is the only one that has four different x values.


what is the equation of the following line please help if u can

Answers

Answer:

B I believe

Step-by-step explanation:

every time the line hits a point you go up 1 and over 4

Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

119.816

Step-by-step explanation:

Given the data :

123.6, 225.1, 324.8, 422.9, 524.2

Mean absolute deviation (MAD) :

Σ|x - m| / n

m = mean = ΣX / n

n = same size = 5

m = 1620.6 / 5 = 324.12|

[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5

= 119.816

Find the vertex, focus, directrix, and focal width of the parabola. negative 1 divided by 40 x squared equals y

Answers

Answer:

2, 8, 90, 160

that is the focal, vertex l, direction

20 points
14 The base of a rectangular prism has a length of 15 inches and a width of 13 inches.
What is the area of this base of the prism in square inches?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
195 square inches
28 square inches
56 square inches

Answers

Answer:

195 sq. in.

Step-by-step explanation:

area = length * width

area = 15 in. * 13 in. = 195 sq. in.

A cylinder has a height of 4 inches and a diameter of 18 inches. Which equation can be used to find the total surface area of the cylinder in square inches?
A-S=2π(9) + π(9)´2
B-S=π(9)´2 (4)
C-S=2π(9)(4) + 2π(9)´2
D-S=π(9)(4) + π(9)´2

Answers

The equation to find the total surface area of the cylinder is S = 2π(9)(h) + 2π(9)².

As per the question, the diameter of the cylinder is given as 18 inches, so we can calculate the radius (r) by dividing the diameter by 2:

r = 18 inches / 2 = 9 inches

The height of the cylinder is given as 4 inches.

To find the total surface area of a cylinder, we can use the following equation:

Total Surface Area = 2πrh + 2πr²

Now we can substitute the values into the equation to find the total surface area:

S = 2π(9)(h) + 2π(9)²

Therefore, the required equation is S = 2π(9)(h) + 2π(9)².

Learn more about the surface area of a cylinder here :

brainly.com/question/14827013

#SPJ1

Which of the following place values would be found to the right of 1?

Answers

Answer:

1

Step-by-step explanation:

A ladder is placed 5ft away from a house. The ladder comes up to 12ft on the
side of the house. How long is the ladder?

Answers

Answer:

c = 13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

√169= √c²

13 = c

A rowing team rowed 120 kilometers while going with the current in the same amount of time as it took to row 20 kilometers going against the current. The rate of the current was 10 kilometers per hour. Find the rate of the rowing team in still water.

Answers

Answer:

100/x+6=20/x-6

100x-600=20x+120

80x=720

x=9 miles an hour as the rowing teams' rate in still water

Your answer is=100/x600=20x+120
Hopefully this will help you!

19. What is the solution to 5.2x = 31.2? *​

Answers

Answer:

x=6

Step-by-step explanation:

hope this helps

Si sacas una carta al azar de un mazo estándar de 52 cartas, ¿Cuál es la probabilidad de que obtengas una carta que sea menor a cinco o una de diamante?

Answers

Answer: 3

Explanation: 3

Find the slope of a line that passes through the given pair of points: (-3 , -1) and ( 2 , -1) .

Answers

Answer:

m=0

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-(-1)/2-(-3)

m=-1+1/2+3

m=0/5

m=0

Find the area of a garden whose circumference is 36 yards.

Answers

?????????????????????????????

I GIVE BRAINLIEST

please hurry im timed!

Answers

Answer:

my answer is C hope it helps in thank you

If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?

Answers

Answer:

450

Step-by-step explanation:

i think thats right

18 multiplied by 2/3

Answers

Answer:

12

Step-by-step explanation:

18 x 2/3 = 36/3 = 12

2/3 of 18

2/3×18

2×6

12

hope this helps:)

Which of the following scenarios is the best fit for the graph?
A. The value of a $100 stock grows in value by 10% each year.
B. The batting average of a baseball team increases by 50 points each year.
C. The population of a small town decreases by 10% each year.
D. A class's percent correct on a standardized Algebra I test increases after using a new software program.

Answers

Answer: A

Step-by-step explanation:

The correct option is A.

What is an exponential function?

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

Learn more about exponential function click;

https://brainly.com/question/29287497

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What is m∠1? HELP please

Answers

Answer:

45 degrees

Step-by-step explanation:

The sum of all angles is 180 degrees. Since we know one is 43, we subtract it from 180. 180 - 43 is 137.

The angle with the 88 degrees next to it is supplementary to the given angle, which means the measurement of the angle next to 88 is 180 - 88, which is 92 degrees.

143 - 92 is 45. Hope this helps

cough cough could i have brainliest lol

A park charges $13 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $43 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?

Answers

Answer:

Reduced fee for each additional round will be $5.

Step-by-step explanation:

Let the reduced fee for each additional round played = $x

Charges for one round = $13

If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x

Since, Tom paid $43 for 6 rounds,

13 + 6x = 43

6x = 43 - 13

6x = 30

x = 5

Therefore, reduced fee for each round will be $5.

translate the phrase into a variable expression. use the letter m to name the variable. if necessary, use the asterisk for multiplication and the slash for division. the total number of minutes billed on the phone bill split between 3 phones

Answers

Answer:

m/3

Step-by-step explanation:

fghbzsvbftgzgbtefnysffafbydfs

Determine the dot product ⟨4,−5⟩⋅⟨3,−2⟩

Answers

Answer: 22 the answer is 22 but id.k if thats what ur looking for

Step-by-step explanation:

What is the range of the graph below?

Answers

Answer:

B) -4 < y

Step-by-step explanation:

The lowest point on the y axis of the graph is -4 and everything else is higher

Estimate the number of pints in 445 ounces

Answers

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

Answer:

28 pints

Step-by-step explanation:

There are 28 pints in 445 fluid ounces .

The number of traffic citations given daily by two police departments over a two-week period is shown in the box-and-whisker plots. Which statement is NOT true?
a.The East department gave the greatest number of citations in one day.
b.The East department gave the least number of citations in one day.
c.The East department has a greater IQR than the West department.
d.The East department has the greater median of citations in one day.

Answers

D iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

b. The East department gave the least number of citations in one day.

Step-by-step explanation:

a. The East department gave the greatest number of citations in one day.

True, 210 > 190 (approx.)

b. The East department gave the least number of citations in one day.

False, 110 > 90 (approx.)

c. The East department has a greater IQR than the West department.

True, 4 out of 5 numbers are greater

d. The East department has the greater median of citations in one day.

True, 143 > 135 (approx.)

Part I
What is the area of the side yard?

Answers

Answer:

its 165 square feet

Step-by-step explanation:

i got the same question and that was the answer (:

An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far from the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.

Answers

Hello!

This problem is about relating trigonometric values to an unknown side.

We are given an angle side, and we can determine that another angle made would be a 90 degree angle.

Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.

[tex]65+90+x+180[/tex]

[tex]x=180-90-65[/tex]

[tex]x=25[/tex]

After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.

[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]

[tex]b=16sin(25)[/tex]

Make sure to be in degrees when putting this in a calculator.

[tex]b=6.8[/tex]

Hope this helps!

Find x and y ( please explain )​

Answers

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

please help me!!!!!!

Answers

Answer:

(2)

Step-by-step explanation:

mean: (13+15+17+17+17+20+27)/7=18

median: 17

mode: 17

A large clock on a county courthouse has a circumference of about 25 feet. The minute hand extends from the center of the clock to the edge of the clock. How long is the minute hand?

Answers

Answer:

Minute hand = 3.98 feet

Step-by-step explanation:

Circumference of a circle can be calculated by

C = 2 x pi x radius

The minute hand extends from center to the edge means that minute hand is the radius and that is required.

putting values in above equation

C = 25 and pi = 3.14

25 = 2 x 3.14 x radius

radius = 25 / 6.28

Radius = 3.98 feet

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