Find the roots of f(x)=x2+9x-36.

x = _____ or x = _____

Answers

Answer 1

Hi there!

[tex]\large\boxed{x = -12, 3}[/tex]

The roots of a function are when f(x) = 0, so:

0 = x² + 9x - 36

Find two numbers that multiply to -36 and add up to 9.

We get the numbers 12 and -3, so:

0 = (x + 12)(x - 3)

Set each equal to 0 to find the x value:

0 = x + 12

x = -12

0 = x - 3

x = 3


Related Questions

Thirty one divided by seven

Answers

Answer:

4.42857142857

Rounded:

4.4

Factoring can be used to solve ANY quadratic equation.
True or false

Answers

Answer: False, Quadratic can sometimes be solved by factoring. It can ALWAYS be solved using the quadratic formula.

Step-by-step explanation:

Hope this helps :)

Answer:

false

Step-by-step explanation:

Kellie bought 8 towels and spent $39.60. Each towel costs the same amount.
Part A
Use the drop-down menus to create an equation that can be used to determine t, the
price, in dollars, of 1 towel.
t
+
00
39.60
Part B
What is the price, in dollars, of 1 towel?
Enter your answer in the box.
$

Answers

Answer:

fvg bvgcjvtfjocfrx

Step-by-step explanation:

kjn

jkm

'knlnkm

kl

j

kl;n

;kn

Find the length of x. Assume that lines which appear to be tangent to the circle are tangent
A) 36
B) 42
C) 48
D) 54

Answers

Answer:

C

Step-by-step explanation:

Remark

The formula that relates tangents and secants using the information given is

The distance from the external point to the point of tangencyo^2 = The external point of secant to the circumfrance of the circle * the other intersect point of the secant.  

The algebra is much simpler.

y^2 = 27 ( 27 + x)

Givens

y = 45

27 is the distance from the external point to the circle

27 + x is the entire length of the secant.

Solution

45^2  = 27(27 + x)               Remove the brackets

2025 = 729 + 27x               Subtract 729 from both sides

2025 - 729 = 27x

1296 = 27x                           Divide by 27

1286/27 = x

x = 48

Drag each equation to show if it could be a correct first step to solving the equation
3(6 + x) = 24.

Answers

Tell me what the answer

Answer:

Here you go

Step-by-step explanation:

I hope this helps :)

need help in pre-algebra ​

Answers

answer:

a. 8 · 10^7 is 4000 times larger than 2 · 10^4

step-by-step explanation:

solve the actual expression firstwrite the expressions in standard form and compare them

8 · 10^7 (or 8 X 10000000) = 80000000

2 · 10^4 (or 4 X 10000) = 20000

now that you have them in standard form, divide them to compare

80000000 / 20000 = 4000

from this, we can tell that 8 · 10^7 is 4000 times larger than 2 · 10^4

PLEASE PLEASE HELP I WILL MARK THE BRAINIEST (the little crown thingy)

Answers

Answer:  A

Step-by-step explanation:  They both go up but they have diffrent patterns

hopes this helps any

Answer:

A.

Step-by-step explanation:

the 'x' slot is going up two and the 'y' slot is going up one every change.

Please help I will give brainliest

Answers

Answer:

If the circle, translate 3 units right and 5 units up and dilated 5/2

then circle C is congruent to circle A.

------------------------

hope it helps...

have a great day!!

I really need this A circle with radius 16 cm has a segment with a central angle of 90 . What is the area of the segment?​

Answers

A= r2•a / 2
Central angle 90°
Radius 16 cm
Diameter 32cm
Sector Area 201 cm2
Arc Length 25.13cm
Chord Length 22.63cm


Hope this helps!!

13−4 / 27−24 its to short again hi

Answers

Answer:

-301/27

Step-by-step explanation:

Find the length of the segment that joins the points (-5, 4) and (6,-3).

Answers

Answer:

[tex]\boxed {\boxed {\sf d=\sqrt{170} \ or \ d\approx 13.04}}}[/tex]

Step-by-step explanation:

We are asked to find the length of a segment or the distance between the 2 points. The formula for distance is:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

x₁= -5 y₁= 4 x₂= 6 y₂ = -3

Substitute the values into the formula.

[tex]d= \sqrt{(6--5)^2+(-3-4)^2[/tex]

Solve inside the parentheses.

6--5 (Back to back negative signs become a positive)= 6+5 =11 -3-4= -7

[tex]d= \sqrt{(11)^2+(-7)^2[/tex]

Solve the exponents.

(11)²= 11*11= 121(-7)²= -7*-7= 49

[tex]d= \sqrt {(121)+(49)[/tex]

Add.

[tex]d= \sqrt {170}[/tex]

[tex]d=13.0384048104[/tex]

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

13.0384048104

[tex]d\approx 13.04[/tex]

The length of the segment is √170 or approximately 13.04.

PLEASE NO LINKS OR I WILL REPORT YOUR ACCOUNT

Answers

Answer:   200.96 ft^2  (choice C)

=======================================================

Work Shown:

A = pi*r^2

A = 3.14*8^2

A = 200.96

Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".

Santos walks 222 kilometers south and then a certain number of kilometers east. He ends 555 kilometers away from his starting position. How many kilometers east did Santos walk

Answers

Answer:

  4.6 km

Step-by-step explanation:

You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.

Distance

The distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.

  c² = a² + b²

  5² = 2² + b²

  21 = b²

  b = √21 ≈ 4.583

Santos walked about 4.6 km east.

<95141404393>

Which relationship has a zero slope?

A. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.

B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.

C. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)

D. A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

9514 1404 393

Answer:

  A.  A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2

Step-by-step explanation:

The relationship that has constant y-values is the one with zero slope. That would be the first table.

Answer: A

Step-by-step explanation: He is correct

A cone has a diameter of 8 units and a helght of 8 units. Its radius is____ its volume is ____ A cylinder with the same height and radius as the cone will have a volume of _____ cubic units. If a sphere has the same radius as the cylinder, Its volume is ____ the volume of the cylinder​

Answers

Answer:

A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder​.

radius = diameter / 2 = 8/2 =4units

[tex]volume \ of \ cone = \pi r^2 \frac{h}{3}[/tex]    =134.04cubic units

[tex]volume \ of \ cylinder = \pi r^2h[/tex]  = 402.12 cubic units

[tex]volume \ of \ sphere = \frac{4}{3}\pi r^3[/tex] = 268.08 cubic units

WHERE DO YOU PLACE THE PARENTHESES TO EQUAL TO 40

4+2•3^2

HELPPPP!! IT HAS TO EQUAL TO 40!!!!

Answers

Around the 2 and the 3
4+(2x3)^2
4+(4x9)
4+36
40

Is √12•√ 12 rational or Irrational?

Answers

Answer:

It is a rational number

Step-by-step explanation:

[tex]\sqrt{12} *\sqrt{12} =12[/tex]

[tex]\sqrt{12}[/tex] by itself is 3.46410 making it irrational

How many types of angle are there in class 6?

Answers

In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.

Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.

It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.

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by means of the definition, find the derivative of the function 'F' f(x)=6​

Answers

We know that the derivative means the rate of change of the function. Graphically, this means that the derivative is the slope of the graph of that function.

How do you find the derivatives by using the Definition?

The derivative of a function is the slope of the curve for the specified function. Physically speaking, the derivative of a function is the instantaneous rate of change of a function with respect to the variable at a location.

A securities with a price that is based on or derived from one or more underlying assets is referred to as a derivative. A contract between two or more parties based on the asset or assets constitutes the derivative itself. Changes in the underlying asset's value affect its value.

The instantaneous pace at which a function changes with regard to one of its variables is known as the derivative. Finding the slope of the tangent line to the function at a certain location is equal to doing this.

lim/h→0f(x+h)−f(x)h=f'(x).

lim/h→06−6/h=0.

f'(x)=limΔx→0

f'(x)=limΔx→0

f(x+Δx)−f(x)Δx=

f'(x)=limΔx→06−6Δx=0

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Need help for this please, i have to pass my class

Answers

(3) I think I am not sure

Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred strawberry ice cream than vanilla ice cream?

Answers

Since there are 300 students you have to use proportions to solve the percents. First for strawberry you need to set up a proportion such as x/300=30/100 to show you are trying to find 30%of 300. Then you must cross multiply so 300 times 30 and 100 times x. Then you have 9,000 and 100, so you divide 9,000 by 100 and then you get 90 which is the portion of kids who liked strawberry flavored ice cream. You should do the exact same thing for vanilla ice cream like this: x/300=29/100 but since you’re finding 29% you need to put a 29 over 100. Then you cross multiply and do 300 times 29 and do x times 100. Which makes you get 8,700 and 100, and then you divide 8,700 by 100 and get 87 for vanilla ice cream. Lastly you need to subtract 87 from 90 since it asked how many more students liked strawberry than vanilla: 90-87=

Can you please mark branliest? Thank you!

I want the answer please

Answers

The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ lim θ → 0 ( sin θ / θ ) = 1

Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.

⇒ lim θ → 0 ( sin θ / θ ) = 1

Take LHS;

⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )

⇒ lim θ → 0 ( cos θ / 1 )

⇒ ( cos 0 )

⇒ 1

⇒ RHS

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A certain human red blood cell has a diameter of 0.000007 meters. Which expression represents this diameter, in meters, in scientific notation?
Group of answer choices

7×10−6

7×105

7×106

7×10−5

Answers

Answer:

7×10-6 is the answer I hope it helps

A diving board is 10 feet long and 1 foot wide. What is its area?

Answers

Answer:

10ft^2

Step-by-step explanation:

10ft×1ft=10

Answer:

10square feet is the area (length x width)

Step-by-step explanation:

help pleaseeeee im stuck

Answers

I think it’s C but if it’s wrong I’m sorry ☹️

Ali is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures he needs. He needs a total of at least 1,000 signatures before he can submit the petition. Ali wants to collect the same number of signatures each week. Write and solve the inequality for the situation

Answers

An inequality that represents the number of signatures Ali needs to collect in each of the remaining weeks so that he will have enough signatures to submit the petition: 520 + 6m ≥ 1000

and the minimum number of signatures he needs to collect = 80

Given that Ali wants to collect the same number of signatures each week.

Assume that Ali collects m number of signatures each week.

He has 6 weeks to collect the remaining signatures he needs.

So, by unitary method in 6 weeks the number of signatures he would collect:

6 × m

He currently has 520 signatures and he needs a total of at least 1,000 signatures before he can submit the petition.

so, we get an inequality.

520 + 6m ≥ 1000

We solve above inequality.

6m ≥ 1000 - 520

m ≥ 480/6

m ≥ 80

Ali needs to collect at least 80 signatures, so that he will have enough signatures to submit the petition.

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Find the missing side. Round to the nearest tenth.
X
55
18

Answers

Answer:

solution

90+55+×=180(sum of angle of triangle is 180)

or,145+x=180

or,x=180-145

therefore,x=35

Each of 8 ladies randomly chooses a woolen overcoat from 14 different styles. What is the probability that at least 2 ladies choose the same type of overcoat?

choices
≈ 0.820
≈ 0.918
≈ 0.929
≈ 0.894

Answers

Answer: 0.894

Step-by-step explanation:

Answer:

                    ≈ 0.918

Step-by-step explanation:

Use the complement since the probability of at least 2 ladies choose the same type of overcoat is much more challenging than finding the probability that all the ladies choose a different overcoat.

P(at least 2 ladies choose the same type of overcoat) = 1 − P(all choose different)

Find the probability that they all choose a different type of overcoat.

Now use the complement to determine the probability that at least 2 ladies choose the same type of overcoat.

P(at least 2 ladies choose the same) =

1 − P(all choose different)  

≈ 1 − 0.0820  

≈ 0.918  

The probability that at least 2 ladies choose the same type of overcoat is approximately 0.918 or 91.8%.

Ver en español
On the coordinate plane, the segment from R(6,

16) to S(14,

1) forms one side of a rectangle. The rectangle has an area of 459 square units. Find the perimeter of the rectangle.
Write your answer as a whole number, decimal, or simplified radical. Do not round.
units

Answers

The perimeter of the rectangle, given the area and the segment from R ( 6, -16) to S (14, - 1 ) is 88 units

How to find the perimeter ?

To find the perimeter, first find the distance between  R ( 6, -16) to S (14, - 1 ) which will allow you to find the length of one side. This distance can be found by the formula :
= √((x2 – x1)² + (y2 – y1)²)

= √((14 – 6)² + (-1 – (-16))²)

= 17 units

This means that one side of the rectangle measures 17 units so the other side would be:

Area = Length x Width

459 = 17 x Width

Width = 459 / 17

Width = 27 units

The perimeter of the rectangle is:

= Length + Width + Length + Width

= 17 + 27 + 17 + 27

= 88 units

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if x+3=9 whats the answer:)
enjoy

Answers

Answer:

x=6

Step-by-step explanation:

then x=6 because replacing x 6+3=9

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