find k so that x-1 is a factor of x^3 - 3x^2 + kx - 1

Answers

Answer 1

Answer:

[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]

Answer 2

Answer:

k = 3

Step-by-step explanation:

If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.

f (x ) = x³ - 3x² + Kx - 1 , then

plug 1 as x in the expression.

f ( 1) = ( 1)³ - 3 ( 1)² + k (1) - 1 = 0

expand exponents

1 - 3 + k - 1 = 0

combine like terms

-3 + k = 0

Add 3 to both side

k = 3

Related Questions

M.P=Rs 480, S.P= Rs 456​

Answers

Answer:

bro what to find in this question. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

what is 7/8 divided by 1/8

Answers

Answer:

7

Step-by-step explanation:

Concepts:

Division: a system of distributing a collection of things into equal partsFractions: #s that represent a part of a wholeDividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other oneInverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)

Solving:

1. First, let's set up the equation:

7/8 ÷ 1/8

2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.

3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.

7/8 · 8 = 56/8 = 7

Therefore, 7/8 divided by 1/8 is equal to 7.

A florist has 18 daisies and 45 carnations. She wants to use all the flowers to create a bouquet to sell. What is the greatest number of bouquets she can make without having any left over?​

Answers

9 Because nine is the highest number that 45 and 18 can both be divided into without getting a reminder

John earns $6 per hour for mowing the lawn. If t represents John's total earnings for h hours of mowing, which equations can be used to model the situation

Answers

Answer:

h=6

Step-by-step explanation:

Which statement is true about the function represented by this graph?

Answers

Answer: Choice D)

The function has a range of all real numbers less than or equal to 2.

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

Explanation:

Let's go through the answer choices to see which are true, and which are false.

A) This is false because (0,-2) is a y intercept, and not an x intercept. A zero of a function is always an x intercept.B) This is false. The curve peaks at the vertex (2,2) showing we have a max point, and not a min point.C) This is false. A function can have at most one y intercept. If it had more than one y intercept, then it wouldn't be a function (since the input x = 0 leads to more than one output).D) This is true. The range is the set of possible y outputs. We see that y = 2 is the largest output, which occurs at the vertex. We can get anything smaller than this y value. Therefore, the range is the set of y values such that [tex]y \le 2[/tex]

Answer:

option D

Step-by-step explanation:

THE FUNCTION HAS A RANGE OF ALL REAL NUMBERS LESS THAN OR EQUAL TO 2

solve using identities​

Answers

Answer:

Solution given

Cos[tex]\displaystyle \theta_{1}=\frac{13}{15}[/tex]

consider Pythagorean theorem

[tex]\bold{Sin²\theta+Cos²\theta=1}[/tex]

Subtracting [tex]Cos²\theta[/tex]both side

[tex]\displaystyle Sin²\theta=1-Cos²\theta[/tex]

doing square root on both side we get

[tex]Sin\theta=\sqrt{1-Cos²\theta}[/tex]

Similarly

[tex]Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}[/tex]

Substituting value of [tex]Cos\theta_{1}[/tex]

we get

[tex]Sin\theta_{1}=\sqrt{1-(\frac{-13}{15})²}[/tex]

Solving numerical

[tex]Sin\theta_{1}=\sqrt{1-(\frac{169}{225})}[/tex]

[tex]Sin\theta_{1}=\sqrt{\frac{56}{225}}[/tex]

[tex]Sin\theta_{1}=\frac{\sqrt{56}}{\sqrt{225}}[/tex]

[tex]Sin\theta_{1}=\frac{\sqrt{2*2*14}}{\sqrt{15*15}}[/tex]

[tex]Sin\theta_{1}=\frac{2\sqrt{14}}{15}[/tex]

Since

In III quadrant sin angle is negative

[tex]\bold{Sin\theta_{1}=-\frac{2\sqrt{14}}{15}}[/tex]

Answer:

- 2√14/15

Step-by-step explanation:

In the quadrant III both the sine and cosine get negative value.

Use the identity:

sin²θ + cos²θ = 1

And consider negative value as mentioned above:

sinθ = - √(1 - cos²θ) sinθ = - √(1 - (-13/15)²) sinθ = - √(1 - 169/225)sinθ = - √(56/225)sinθ = - 2√14/15

Shaded areas ( What is the area of the shaded region? )

Answers

Answer:

119.43 cm²

Step-by-step explanation:

The shaded area (A) is calculated as

A = area of rectangle - area of circle

   = (11 × 12) - π × 2²

  = 132 - 4π

  ≈ 119.43 cm² ( to the nearest hundredth )

when graphing y=-2x+10, is it a line that shows only one solution to the equation, all solutions, or shows the y-intercept?

Answers

Answer:

there is always a y-intercept in all graphs.

Step-by-step explanation:

be it a line graph, quadratic graph or cubic graph. all graphs will definitely have a y-intercept. and in this case, since y=mx + c where c is the y-intercept. the y intercept of this graph is 10

The current temperature of 8"F below zero is 21°F below the high temperature of the day. What is the high temperature for the day​

Answers

Answer:

24°c

Step-by-step explanation:

PLEASE accept me in brainly

find the surface of each figure. Round your answer to the nearest tenth.​

Answers

Answer:

282.7 ft^2

Step-by-step explanation:

Surface area=2*pi*r(r+h)

2*pi*3*(15)=282.7 ft^2

Hey there!

I believe your answer would be 282.7.

The formula should be 2πrh+2πr^2. So, 2·π·3·12+2·π·3^2.

Round the answer to the nearest tenth, and you will get 282.7!

Hope this helps!

Have a great day!

1/5√75 -10√1/2+√125-2√1/2

Answers

Answer:6.91239069507

Step-by-step explanation:

The receipt shows the prices of goods that Mr. Baker bought at the store.
The state Mr. Baker lives in has a sales tax rate of 7% on all purchases.

How much money does Mr. Baker pay in sales tax and what is the total amount he must pay for his purchases?

Answers

Answer:

The answer is $82.46 sales tax

$1,260.46 Total

Step-by-step explanation:

Since the price before the Sales tax is $1,178.00 and if you add the 7% Sales tax the total is $1,260.46 and the price of the Sales tax is $82.46

$750x.07= $52.50
+
$329x.07=$23.03
+
$99x.07=$6.93
=
$82.46

1,178+82.46=
$1,260.46

find the transpose of matrics.
Q=[789]

Answers

Answer:

[7]

[8]

[9]

Step-by-step explanation:

according to your question

your answer is

[7]

[8]

[9]

you must be write this answer in one bracket

What quantity of parsley would you need to make 5 times as much as the original recipe?

Answers

Original= x

5(x)=y
y= 5Xx

5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?

Answers

Answer:

Value is 57

Step-by-step explanation:

sin 33

= sin (90-57)

= cos 57

Answered by GAUTHMATH

What is the rule for the nth term for number sequence 2;5;7;12;19

Answers

Add the two previous terms together to get your next answer: 2 + 5 = 7 , 7 + 12 = 19.

Simplify and find the perimeter of the triangle

Answers

Answer:

2x - 19

Step-by-step explanation:

Perimeter = sum of sides

First let's simplify each side

We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.

2(x + 5)

Distribute by multiplying x and 5 by 2

2 * x = 2x and 2 * 5 = 10

2x + 10

1/2(4x + 8)

Distribute by multiplying 4x and 8 by 1/2

1/2 * 4x = 2x and 1/2 * 8 = 4

2x + 4

-3(2x + 11)

Distribute by multiplying 2x and 11 by -3

-3 * 2x = -6x

-3 * -33

-6x - 33

Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )

2x + 10 + 2x + 4 - 6x - 33

Combine like terms

2x + 2x - 6x = -2x

10 + 4 - 33 = -19

Perimeter: -2x - 19

Answer:

Perimeter = - 2x - 19

Step-by-step explanation:

[tex]Perimeter \: of \: a \: triangle \\ = Sum \: of \: the \: length \: of \: all \: sides \\ = [2(x+5)]+[-3(2x+11)]+[ \frac{1}{2} (4x+8)] \\ = [(2 \times x)+(2 \times 5)]+[(-3 \times 2x)+( - 3 \times 11)]+[ (\frac{1}{2} \times 4x) + ( \frac{1}{2} \times 8)] \\ = (2x + 10) + ( - 6x - 33) + (2x + 4) \\ = 2x + 10 - 6x - 33 + 2x + 4 \\ = 2x - 6x + 2x + 10 - 33 + 4 \\ = - 2x - 19[/tex]

So, the perimeter is - 2x - 19.

A waffle cone has a height of 10 centimeters and a diameter of 6 centimeters. To the nearest tenth of a cubic centimeter, approximately how much ice cream will the waffle cone hold?

Answers

Answer:

94.2 cm^3.

Step-by-step explanation:

Volume of a cone = 1/3πr^2h

The radius of the cone = 1/2 * 6 = 3

So here the volume is:

1/3 * π *  3^2 * 10

= 94.247

Find the value of x.
A.124
B.57
C.72
D.90

Answers

9514 1404 393

Answer:

  x = 90°

Step-by-step explanation:

Half the sum of x and 120° is the angle where the chords cross, 105°. Then ...

  105° = (1/2)(x +120°)

  210° = x + 120°

  210° -120° = x = 90°

_____

Additional comment

z is the arc that finishes the circle: 360° -90° -68° -120° = 82°.

Find the value of 65°11' - 58°32'​

Answers

Answer:

dddddd=666=7777

Step-by-step explanation:

using trig to solve for missing angle

Answers

here's the answer to your question

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
An alphabetical list is generated of each member of the student body at a local middle school. The first name on the list is in the sample, along with every 5th name on the list after that. This is an example of a __________________.
A. systematic sample
B. stratified random sample
C. convenience sample
D. random sample

Answers

Answer:

Option A, systematic sample

Write an equation, in slope-intercept form, of the line that passes through the given point and satisfies the given condition. (-1, -4); perpendicular to y=2x+5

Answers

Answer:

y = -1/2x - 9/2

Step-by-step explanation:

PLS HELP
A sand castle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below.


The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?
5,196 square inches
7,422 square inches
10,596 square inches

Answers

Answer:

10,596 cubic inches

Step-by-step explanation:

The shape of the prism with which the sand castle can be modelled = Square prism

The arrangement of the square prism = One on top of the other

The given height of each prism, h = 6 inches

The side length of the base of the bottom prism, s₄ = 30 inches

The side length of the base of the other prism = The side length of the base of the prism below each prism - 7 inches

Therefore;

The side length of a prism = 7 inches + The side length of the prism above it

Given that the side length of the base prism (The fourth prism), s₄ = 30 inches

The side length of the prism, directly above the base prism (The fourth prism), s₃ = (30 - 7) inches = 23 inches

The side length of the prism, directly above the third prism (The second prism), s₃ = (23 - 7) = 16 inches

The side length of the top most prism, s₁ = (16 - 7) inches = 9 inches

The volume of the sand castle, V = h × (s₄² + s₃² + s₂² + s₁²)

∴ V = 6 × (30² + 23² + 16² + 9²) = 10,596

The volume of the sand castle, V = 10,596 in.³

Heyo!

The volume of the sandcastle above is 10,596 cubic inches.

Hope this helps! If so, please lmk! Tysm and good luck guys!

A 4-pack of plastic flower pots costs $4.08. What is the unit price?

Answers

Answer:

If 4 flower pots cost 4.08 dollars, then 1 flower pot costs 4.08/4 dollars.

4.08/4 = 1.02.

So the unit price is $1.02.

Let me know if this helps!

Answer my question im being timed Please!!

Answers

[ (10)(x^3)(y^2) / (5)(x^-3)(y^4) ]^-3

[ (2)(x^3)(y^2) / (x^-3)(y^4) ]^-3

[ (2)(x^6)(y^2) / (y^4) }^-3

[ (2)(x^6)(y^-2) ]^-3

(2^-3)(x^-18)(y^6)

---Not simplified (contains negative exponents)

(1/8)(x^-18)(y^6)

---Fully simplified

(y^6) / (8)(x^18)

Hope this helps!

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

Just remember that V=½×A×B×H

where B is the base not breadth.

solving this yourself will give you the answer.

An expression is shown below: \sqrt(50)+\sqrt(2) is it irrational or rational

Answers

Answer:

Irrational

Step-by-step explanation:

It's an irrational number since both of them are irrational

if a = 6 b=5, then find the value (a+b)​

Answers

Step-by-step explanation:

Put the numbers as the value is given

So,

(6+5)= 11 Answer

Answer:

11

Step-by-step explanation:

(a + b) where a = 6 and b = 5

Step 1. Substitute a for 6 and b for 5

(6 + 5)

Step 2. Add

11

An object that weighs exactly 1
pound is placed on a digital scale that measures weight in ounces.
If the scale is accurate and precise, what weight might be shown on the scale?

Answers

16 ounces= 1 pound.
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