What is the completely factored form of f(x) = 6x3 – 13x2 – 4x 15? (x 1)(6x2 – 19x 15) (x 1)2(2x – 3) (x 1)(3x – 2)(5x – 3) (x 1)(2x – 3)(3x – 5)

Answers

Answer 1

The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

How to factor the expression?

The expression is given as:

f(x) = 6x³ - 13x² - 4x + 15

Expand the expression

f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15

Rewrite as:

f(x) = 6x³ + 6x² + 15x- 19x²   - 19x + 15

Factorize the equation

f(x) = (x + 1)(6x²- 19x + 15)

Expand (6x² - 19x + 15)

f(x) = (x + 1)(6x² - 10x - 9x + 15)

Factorize the expression

f(x) = (x + 1)(2x - 3)(3x - 5)

Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

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Answer 2

Answer: D

Step-by-step explanation:


Related Questions

whats 4 x 4 x 4 divided by 2

Answers

Answer:

32

Step-by-step explanation:

4×4×4=64 then you divide 2 will be 32

Answer:

32

Step-by-step explanation:

4x4=16

16x4=64

64/2=32

[tex]Hence,TheAnswerTo...\\\frac{4^{3} }{2} =32[/tex]

I need help with this please I will mark brainliest if possible

Answers

Step-by-step explanation:

[tex] - \sqrt{2 } \div 2[/tex]

Use the unit circle to help you!

2x2x3x4x442x24ex5x7677x6748

Answers

Answer:

5.436564x^14905

In the last several weeks, 67 days saw rain and 23 days saw high winds. In that same time period, 13 days saw both rain and high winds. How many days saw either rain or high winds

Answers

The number of days that had either rain or high winds for the considered case is 77

What is the addition rule of size for two subsets?

For two subsets A and B of the universal set U, we have:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

Assume that:

A and B be the subsets of what happens on each day.

Then in the days of last several weeks , we take:

A = set of days which had rainB = set of days which had high winds,

then, as per the data given, we get:

n(A) = number of days seeing rain = 67n(B) = number of days seeing high winds = 23 n(A ∩B) = number of days seeing both rain and high winds = 13

Thus, we get:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77[/tex]

Thus, n(A ∪B) = number of days seeing either rain or high winds = 77

Thus, the number of days that had either rain or high winds for the considered case is 77

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please help !!! im so lost with this

Answers

Answer:

hj means has a job

nj means no job

Step-by-step explanation:

[tex]\sf\fbox\red{។question។:-} [/tex]
Anastasia got 93% in her exam out of marks is 600 find out the obtained marks​
options: a) 560 b)540 c)470 d)490

Answers

Answer:

A. 560

Step-by-step explanation:

multiply 600 by 0.93 in order to find out what 93% of 600 is.

600 x 0.93 = 558

since 558 isn't one of the options you find which one is closest to it, then divide by 600 in order to see if it's still 93%

a) 560/ 600 = 0.93333 = 93.3%

there's your answer.

but to compare it with the rest of the answer choices:

b) 540 / 600 = 0.9 = 90%

c) 470 / 600 = 0.78333 = 78.3%

d) 490 / 600 = 0.81667 = 81.6%

none of these are in the range of 93, so they're incorrect

Patty has a checking account at a local bank. The monthly checking fee is $10, including any checks she writes. Nonbank ATM withdrawals cost $2. At the beginning of the month, Patty’s checking account balance is $700. She deposited $300 from her job and withdrew $20 in cash from a nonbank ATM. She wrote a check for $100 to a local charity. What is her checking account balance at the end of the month?

A) $958

B) $868

C) $728

D) $658

Answers

Answer:

B) 868

Step-by-step explanation:

1. You add 700+300 which is 1000

2. You subtract the amount wasted or withdrawn which will get you 880

3. You subtract the fees which will then get you 868 as your answer

write the 3 properties of logarithm used to combine logarithms

Answers

Answer:

here!

Step-by-step explanation:

Properties/Rules Exponents Logarithms

Product Rule xp.xq = xp+q loga(mn) = logam + logan

Quotient Rule xp/xq = xp-q loga(m/n) = logam – logan

Power Rule (xp)q = xpq logamn = n logam

Find the value of tan(A+B)

Answers

Answer:

[tex]\tan (A+B) =-\frac{680}{111}[/tex]

Step-by-step explanation:

[tex]\tan A=\frac{12}{5}[/tex]

[tex]\cos B=\frac{45}{53}\implies \sec B=\frac{53}{45}[/tex]

Now, by trigonometric identity:

[tex]\tan^2 B =\sec^2B-1[/tex]

[tex]\implies \tan^2 B =\bigg(\frac{53}{45}\bigg)^2-1[/tex]

[tex]\implies \tan^2 B =\frac{(53)^2-(45)^2}{(45)^2}[/tex]

[tex]\implies \tan^2 B =\frac{(28)^2}{(45)^2}[/tex]

[tex]\implies \tan B =\pm\sqrt{\frac{(28)^2}{(45)^2}}[/tex]

[tex]\implies \tan B =\pm\frac{28}{45}[/tex]

It is given that: Angles A and B are in quadrant I.

---------------------> Angles A and B would be positive.

[tex]\implies \tan B =\frac{28}{45}[/tex]

Next,

[tex]\tan (A+B) =\frac{\tan A +\tan B}{1-\tan A \tan B}[/tex]

[tex]\implies \tan (A+B) =\frac{\frac{12}{5} +\frac{28}{45}}{1-\bigg(\frac{12}{5}\bigg) \bigg(\frac{28}{45}\bigg)}[/tex]

[tex]\implies \tan (A+B) =\frac{\frac{108}{45} +\frac{28}{45}}{1-\bigg(\frac{336}{225}\bigg)}[/tex]

[tex]\implies \tan (A+B) =\frac{\frac{136}{45}}{\bigg(\frac{225-336}{225}\bigg)}[/tex]

[tex]\implies \tan (A+B) =\frac{\frac{136}{45}}{\frac{-111}{225}}[/tex]

[tex]\implies \tan (A+B) =-\frac{680}{111}[/tex]

Grade 12 Math:

Find the slope of the normal to the curve x = a cos³ θ, y = a sin³ θ at θ = π/4.

Don't give spam answers & don't post plagiarised answers either. I know the answer, I don't get the method though. It'll be helpful if someone solves it for me. Thanks.

Answers

Given x = acos³θ , y = asin³θ

Diffrentiating w.r.t. θ

dx/dθ = -3acos²θsinθ ____(1)

dy/dθ = 3asin²θcosθ ______(2)

diving (2) by (1)

dy/dθ ×dθ/dx = -( 3asin²θ cosθ /3acos²θsinθ )

dy/dx = - tanθ

dy/dx = slope of tangent = -tanθ

putting θ = π/4

∴ dy/dx =- tanπ/4 = -1

but , slope of normal = - 1/slope of tangent

slope of normal = -1/-1 = 1

∴ slope of normal = 1 Answer

Answer:

Slope of normal = 1

Step-by-step explanation:

   [tex]\sf x =aCos^3 \ \theta\\\\\dfrac{dy}{d \theta} = a*3Cos^2 \ \theta (-Sin \ \theta)\\[/tex]

         [tex]\sf = -3aCos^2 \ \theta *Sin \ \theta[/tex]

[tex]\sf y =aSin^3 \ \theta\\\\\dfrac{dy}{d\theta}=a*3Sin^2 \ \theta*(Cos \ \theta)\\\dfrac{dy}{d\theta}=3aSin^2 \ \theta*Cos \ \theta[/tex]

             

          [tex]\sf Slope \ of \ Tangent = \dfrac{dy}{dx} =\dfrac{dy}{d\theta} \div \dfrac{dx}{d\theta}[/tex]

                    [tex]\sf = \dfrac{3aSin^2 \ \theta \ Cos \ \theta}{-3aCos^2 \ \theta \ Sin \ \theta}\\\\ = \dfrac{-Sin \ \theta}{Cos \ \theta}\\\\= -tan \ \theta[/tex]

[tex]\theta = \dfrac{\pi }{4}\\\\-tan\ \theta = -tan \ \dfrac{\pi }{4} \\\boxed{tan \ \dfrac{\pi }{4}=-1}[/tex]

Slope of tangent * slope of normal = -1

                                [tex]\boxed{\text{Slope of normal =$\dfrac{-1}{Slope \ of \ tangent}$}}[/tex]

[tex]\sf \text{Slope of normal=\dfrac{-1}{-1}}[/tex][tex]\sf Slope \ of \ normal =\dfrac{-1}{-1}[/tex]

                        = 1

What is the center of a circle whose equation is x2 y2 – 12x – 2y 12 = 0? (–12, –2) (–6, –1) (6, 1) (12, 2)

Answers

The center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

Equation of a circle

The standard equation of a circle is expressed as:

x^2 + y^2 + 2gx + 2fy + c = 0

where:

(-g, -f) is the centre of the circle

Given the equations

x^2 +y^2 – 12x – 2y  +12 = 0

Compare

2gx = -12x

g = -6

Similarly

-2y = 2fy

f = -1

Centre = (6, 1)

Hence the  center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

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Solve u^2= -25, where u is a real number.
Simplify your answer as much as possible.
If there is more than one colution

Answers

the answer is ±5i :)

What percent of 175 is 122

Answers

Answer:

69.71%

Hope this helps!

Answer: 69.7142857%

Step-by-step explanation:

Find the volume of the composite figure please help me I don’t understand it thankyou

Answers

Answer:

i dont eather i need to know the ?

Step-by-step explanation:

f(x) = sinx - 3 cosx is a sinusoid.

True or false

Answers

It’s True because I did it for a quiz
Answer:  True

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

Explanation:

The function can be broken down into the form

f(x) = g(x) - 3*h(x)

where,

g(x) = sin(x)

h(x) = cos(x)

Both g and h are sinusoidal with the same period of 2pi. Therefore, the linear combination of these functions is also sinusoidal with the same period of 2pi. If the periods didn't match up, then it's likely the function isn't sinusoidal and instead some other complicated crazy curve.

Extra notes:

A sinusoidal curve is one that has a steady up and down smooth sine curve to it. Think of a simple ocean wave. A cosine curve is really a sine curve in disguise. It's been phase shifted 90 degrees or pi/2 radians. It's not a coincidence that the word "sine" is found in "cosine".When I say "period of 2pi", I mean the curve repeats itself every 2pi radians. This is equivalent to 360 degrees. The repeating pattern goes on forever.

pls fast.

..
...........​

Answers

Answer:

8 1/6

Step-by-step explanation:

4 1/2 + 3 2/3

convert to improper fractions

9/2 + 11/3

find lcm

27+22/6

49/6

convert back to mixed

8 1/6

Answer:

step by step

Step-by-step explanation:

12+12__12john

The rectangle below represents the base of a rectangular prism. Use the ruler provided to measure the dimensions of the rectangle to the nearest centimeter. S The height of the rectangular prism is 12 centimeters. What is the volume of the rectangular prism? A 32 cm³ B 20 cm³ C 360 cm³ D 240 cm³ ​

Answers

The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The volume of the rectangular prism = length * width * height = 5 cm * 6 cm * 12 cm = 360 cm³

The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³

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joseph biked 1/4 mile in 90 seconds. Of he continued at this rate, how far did joseph bike in one hour?

Answers

Answer:

10 miles

Step-by-step explanation:

3600 ÷ 90 is 40 then 40÷4 is 10

Answer: 1/6mile

Step-by-step explanation:

¼mile in 1½hr

In 1½hr He biked ¼mile

in 1hr He biked ¼ ÷ 1½

¼ ÷ 1½

¼ ÷ 3/2

¼ × ⅔ = 2/12 = ⅙mile

Find the area using the given image.

Answers

Answer:

4.

Step-by-step explanation:

Area = 1/2 * base + height

= 1/2 * 2 * 4

= 4 unit^2.

there r 12 fish tanks
each fish tank has 20 quarts
every 10 gallons eqal 1 teaspoon
how many teaspoons for the fish tanks

Answers

Answer:

six teaspoons

Step-by-step explanation:

12 fish tanks, each 20 quarts

12x20=240 quarts in 12 tanks

we need to convert quarts to gallons

4 quarts equal one gallon, so

240/4=60 gallons in 12 tanks

60 gallons divided by every 10 gallons equal six teaspoons.

What is an equation of the line that passes through the points (-3, -4) and (-4,-6)?​

Answers

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

[tex]euation \: of \: a \: line \: has \: the \: forula \\ y - y1 = m(x - x1) \\ where \: m = slope \\ m = \frac{y2 - y1}{x2 - x1} = \frac{ - 6 - - 4}{ - 4 - - 3} \\ = \frac{ - 6 + 4}{ - 4 + 3} = \frac{ - 2}{ - 1} = 2 \\ now \: putting \: m = 2 \: into \: the \: equation \\ y - - 4 = 2(x - - 3) \\ y + 4 = 2(x + 3) \\ y + 4 = 2x + 6 \\ y = 2x + 6 - 4 \\ y = 2x + 2[/tex]

PLEASE RATE AND MARK BRIANLIEST

The sum of the areas of two circles is 80 square meters.find the length of a radius of each circle is one of them is twice as long as the other

Answers

Answer:

4 For Small

8 For big

Step-by-step explanation:

80 Square Inches in terms of pie, since one of the radius points are 2 times the other we can setup a equation

(Leaving out pi for simplicity)

R^2 + 2R^2= 80

Now since R is doubled in spot we can plug in points until we get the answer

1:2 (Too small)

2:4 (Too Small)

3:6 (Too small)

4:8 (Fits)


If we plug 4 for R it satisfies the equation for our criteria.

Which of the following inequalities is graphed on the number line below?

Answers

Since the circle is white, not filled in, that means 2 is not included. So, the sign must be either < or >. Therefore, answers B and D are wrong.

Since the arrow is going to the left side that means x must be LESS than 2, so the sign must be <.

Therefore, answer is A.

What is the rule for the transformation above?

A.

f(x , y) = (-x , y)

B.

f(x , y) = (-x , -y)

C.

f(x , y) = (y , x)

D.

f(x , y) = (x , -y)

Answers

The rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is

What is the transformation of figure?

Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.

The reflection of a plane or shape is flipping the original figure with respect to a reference line. The rule of reflection about x and y-axis is given below,

Reflection about x-axis     [tex](x,y)-- > (x,-y)[/tex]Reflection about y-axis      [tex](x,y)-- > (-x,y)[/tex]

The given figure in the graph is reflected about y-axis. Thus, the rule for the transformation is,

[tex]f(x , y) = (-x , y)[/tex]

Hence, the rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is

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What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply.

StartFraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) EndFraction
The coefficient of the solution is 6.4, the difference of the original coefficients.
The exponent of the solution is –12, the difference of the original exponents.
The coefficient of the solution must be greater than or equal to one but less than 10.
The quotient is 3.0 × 10-12
The solution is a very large number.

Answers

Answer:

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 ×

Step-by-step explanation:

The answer is B, C, D :)

Thanks to the person above me have a good day

Correct on edge 2022 :).

solve using the square root method

Answers

Answer:

x = ±6

Step-by-step explanation:

→ Add 12 to both sides

1/3 x² = 12

→ Multiply both sides by 3

x² = 36

→ Square root both sides

x = ±6

Provide an example of a treatment and a control group.

Answers

Answer:

let's say you wanted to know if Gatorade increased athletic performance. Your experimental group would be given the Gatorade and your control group would be given regular water.  or  an experiment in which the researcher tests whether or not a new fertilizer has an effect on plant growth.

Step-by-step explanation:

Answer:an example of a treatment and a control group a human experimental group could receive a new medication, a different form of counseling, or some vitamin supplements. A plant treatment group could receive a new plant fertilizer, more sunlight, or distilled water. The group that does not receive the treatment is called the control group

Step-by-step explanation:

Suppose y varies directly with x, and y = 68 when x = 17. What is the value of x when y = 16 ?

Answers

Answer:

x=4

Step-by-step explanation:

y=68 and x=17

68/17=4

y=16 and x=?

16/4=4

x=4

Please help it’s do tomorrow

Answers

Answer:

3

Step-by-step explanation:

You divide 45 and 60 then you mutliple the number by 4 then find your anser after you done sovled this is how you solve it divided by 60=0.75 mutiply by 4=3 3 or 4/3

What is the value of the given expression when a=3 and b=5?
12a+12b

Answers

123+125=248




…please if I’m right do mark Brainly-est

Answer:

see explanation

Step-by-step explanation:

12(3)+12(5)=use a calculator.

Type it in a calculator.

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