If x – 4 is a factor of x2 + 8x + k, what is the value of k?

Answers

Answer 1

Answer:

k ±16

Step-by-step explanation:

Evaluate x^2 + 8 x + k where x = -4:

x^2 + 8 x + k = k - 4 8 + (-4)^2

(-4)^2 = 16:

k - 4 8 + 16

8 (-4) = -32:

k + -32 + 16

Grouping like terms, k - 32 + 16 = k + (16 - 32):

k + (16 - 32)

16 - 32 = -16:

Answer:  k ±16

Answer 2

Answer:

The answer is

k=−11

Explanation:

Let

f(x)=x^3−6x62+kx+10

If (x+2)is a factor

Then,

f(-2)=0

f(−2)= −8− 24 − 2k + 10= 0

2k=-22

k=−11

Step-by-step explanation:


Related Questions

formula for area of triangle

Answers

Answer:

[tex]area \: of \: triangle \: = \frac{1}{2} b \times h[/tex]

The area of a triangle formula is A = 1/2 × b × h, where b is base and h is height.

What is the area of a triangle?

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here,

The area of a triangle formula is 1/2× b × h, where b=base and h=height.

Example: Find the area of a triangle with base 12 units and height 3 units.

Now, area of a triangle = 1/2× 12 × 3

= 6 × 3

= 18 square units

Therefore, area of a triangle formula is A = 1/2 × b × h.

To learn more about the area of a triangle visit:

brainly.com/question/27701864.

#SPJ7

"Your question is incomplete, probably the complete question/missing part is:"

What is formula for area of a triangle?

If x= m + 2, find the value of m from the 3m-4/2 - 4x-3/6 equation = 3. ​

Answers

Answer:

Step-by-step explanation:

3m-4/2-4 (m+2 )-3/6=3

3m-4/2-4m-8-3/6=3

-m-3/2-8=3

-m-11=3

-m=3+11

-m=14

m=-14

Which statement is not true about the data shown by the box plot below?
5 number summary: 23, 40, 55, 65, 79

A. The median of the data is 55.
B. The interquartile range is 55.
C. Three fourths of the data is less than 65.
D. The median of the upper half of the data is 65.
Reset Selection

Answers

Answer:

B. The interquartile range is 55

Step-by-step explanation:

the interquartile range is Q3 minus Q1, you would get 15 ,not 55. So B is the answer to your question

Answer:

B. The interquartile range is 55.

Step-by-step explanation:

In this problem, I refer to the right part of the box as the median of the upper half and the left part of the box as the median of the lower half.

The median of the data is going to be the middle line of the box and whisker plot. The middle line lies on 55, so the median is 55.

Choice A is true

The interquartile range is the right end of the box subtracted from the left end of the box. The right end of the box is 65. The left end of the box is 40. Subtracting the left end from the right end, we get 25.

Choice B is false

3/4 of the data will be where we see the right end of the box. The right end of the box is at 65. So, 3/4 of the data is less than 65.

Note: 1/4 of the data is less than the left side of the box at 40. 1/2 of the data is less than the median of the box which is at 55.

Choice C is true

The median of the upper half is the right end which is 65.

Note: The median of the lower half is 40.

Choice D is true

What is the value of x in the equation 3x + 2 = 5x - 8?

Answers

Answer:5

Step-by-step explanation:

3(5)+2=17

5(5)-8=17

X=5

What’s 1+2842-40+7263-1000

Answers

Answer:

9,066 is your answer

9066 is the answer my boi

I really need help. Can you please solve this

Answers

The answer is 20 okkkk

When x = 5, the value of the expression
.-2(x - 10) is
O -21
O-9
O 9
O 19

Answers

[tex]{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]

★ Points to be noted 1st:-

★ Given equation=

-2(x-10)

nd

x= 5

[tex] \underline{\rule{60mm}{2.9pt}} [/tex]

★ Let's substitute x = 5 in given equation to the value of expression

[tex]\sf\:↬-2((5)-10)\\ \sf \:↬Distribution \: of \: -2 \:with \: "5" \: nd \: "-10" \: \\↬ - 10 + 20 \\↬10[/tex]

soo when x = 5 the value of expression is 10

[tex] \underline{ \underline {\rule{70mm}{2.9pt}}}[/tex]

Answer:

10

Step-by-step explanation:

Given

x = 5

To solve

-2(x - 10)

To find the value of the expression, substitute x = 5 in the equation.

-2(5 - 10)-2(-5)10

If you buy something for $3.84 how much change will you get back from $5.00?

Answers

Answer:

1.16

Step-by-step explanation:

Answer: you’d get $1.16

Step-by-step explanation: Simple. Do $5 and subtract 3.84 and you’d get $1.16 hope this helps. :)

90 divded by 18
what is the answer

Answers

Answer:

Answer to your question is 5

Step-by-step explanation:

hope it helps(^-^)

classify 8x³-9x the polynominal by its degree and number of term

Answers

Answer:

Degree: cubic

Number of terms: binomial

Step-by-step explanation:

Look at the exponents to find the degree. Biggest exponent is 3, third power, that's a cubic, like a cube.. 3D.

There's a plus separating the two terms...Two terms-that's the "bi-" in binomial, like a bicycle or bifocals or binational. The prefix "bi-" means two.

This soup can has deiameter of 7 centimeters and a height of 10 centimeters the total surface is what

Answers

Answer:

Step-by-step explanation:

Formula

SA = 2*pi r^2 + 2*pi * r * h

Givens

pi = 3.14

r = d/2                   radius = diameter /2

r = 7/2 = 3.5

h = 10 cm

Solution

SA = 2*3.14 *3.5^2 + 2*3.14 * 3.5 * 10

SA = 76.93 + 219.8

SA = 296.73 cm^2

Answer

Surface Area = 296.73 cm^2

What will the equation be if f(x)= x^2 is translated 6 units left and 3 units up?

Answers

Answer:

f(x) = (x+6)^2 +3

Step-by-step explanation:

Solve ABCD. Round the answers to the nearest hundredth.
A. MZD=69, BC = 16.8, CD = 6.45
B. mD=159, BC = 16.8, CD = 6.45
C. MZD= 69, BC = 6.45, CD = 16.8
D. MZD= 159, BC = 6.45, CD = 16.8
-

Answers

Answer:

Step-by-step explanation:

a

Given:

p: student achieves 90 percent on the geometry final.

q: student will receive a passing grade in geometry class.

Which statement is logically equivalent to a - p?

O If a student achieves 90 percent on the geometry final, then the student will pass geometry class.

O If a student passes geometry class, then the student achieved 90 percent on the geometry final.

O If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.

O If a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.​

Answers

Answer: If a student achives 90% on geomerty final, then the student will pass geometry class

Step-by-step explanation:

sounds the most reasonable

The first bricklayer can build a wall in 15 days, and the second bricklayer can build the same wall in 10 days How long will it take for them to build the wall together?

Answers

Answer:

It will take both of the brick layers twelve and half days

6 Days

Step-by-step explanation:

First you must find the combined rate of work per day between the two bricklayers.

(100/10)+(100/15) = 16 2/3

For each day the two bricklayers complete 16 2/3 percent of the work. To find out the amount of days it take them to build the wall you divide 16 2/3 from 100

100/16 2/3 = 6

The amount of days it take the two bricklayers to build the wall together is 6.

find the circumference of a circle 18.8yd

Answers

Answer:

59.062yd

Step-by-step explanation:

C=πd

π*18.8yd

=18.8π≈59.0619189=59.062yd

which expression is equivalent to c-10c +3c

Answers

Answer:

[tex]c-10c+3c=4c-10c=-6c[/tex]

Step-by-step explanation:

The expression which is equal to the given expression c - 10c + 3c will be -6c.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression,

c - 10c + 3c = c + 3c - 10c

                   = 4c - 10c

                   = -6c

Hence "The expression which is equal to the given expression c - 10c + 3c will be -6c".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Guess the name of this war criminal​

Answers

Answer: Is it posibley ... André Bloch

Step-by-step explanation:

Due to not a lot of information on this question i had to improvis and i got this man who in fact was a mathmaticion that had comitted a murder. It may ot be war crimies but war crimes include murder so yea.

Answer:

There is no information or picture regarding the question

Solve the system of equations:
y= 2x - 2
y= x2 - x-6
O A. (-1,-5) and (4,2)
O B. (0, -2) and (2, 2)
O C. (-1,-4) and (4, 6)
D. (-2,0) and (3,0)

Answers

Answer:

C)  (-1, -4) and (4, 6)

Step-by-step explanation:

[tex]\textsf{Equation 1}:y=2x-2[/tex]

[tex]\textsf{Equation 2}:y=x^2-x-6[/tex]

Substitute Equation 1 into Equation 2 and solve for x:

[tex]\implies 2x-2=x^2-x-6[/tex]

[tex]\implies x^2-3x-4=0[/tex]

Find two numbers that multiply to -4 and sum to -3:  -4 and 1

Rewrite the middle term as the sum of these two numbers:

[tex]\implies x^2-4x+x-4=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x-4)+1(x-4)=0[/tex]

Factor out the common term [tex](x-4)[/tex]:

[tex]\implies (x+1)(x-4)=0[/tex]

[tex]\implies (x+1)=0 \implies x=-1[/tex]

[tex]\implies (x-4)=0 \implies x=4[/tex]

Substitute the found values of x into Equation 1 and solve for y:

[tex]x=-1 \implies y=2(-1)-2=-4[/tex]

[tex]x=4 \implies y=2(4)-2=6[/tex]

Therefore, the solution to the system of equations is:

(-1, -4) and (4, 6)

help please







simplify (5x-3)^2

Answers

Answer:

[tex]\Longrightarrow: \boxed{\sf{25x^2-30x+9}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the perfect square formula.

[tex]\underline{\text{PERFECT SQUARE FORMULA:}}[/tex]

[tex]\Longrightarrow: \sf{(A-B)^2=A^2-2AB+B^2}[/tex]

(5x-3)²

(5x-3)²= (5x)²-2*5x*3+3²

Solve.

[tex]\sf{(5x)^2-2*5x*3+3^2=\boxed{\sf{25x^2-30x+9}}}[/tex]

Therefore, the final answer is 25x²-30x+9.

Answer:

25x² - 30x + 9

Step-by-step explanation:

The identity

(a - b)² = a² - 2ab + b²

In this case, a = 5x and b = 3, so substituting the values :

(5x - 3)²(5x)² - 2(5x)(3) + (3)²25x² - 30x + 9

Ria has to pay 20% tax on any income above £11,000 per year.
Ria's salary before tax is £3,000 per month.
Calculate the amount of money she receives after tax each year.

Answers

Answer:

£28,800

Step-by-step explanation:

Given:

Ria has to pay 20% tax on any income above £11,000 per year. Her salary before tax is £3,000 per month.

To find:

Amount of money she receives after tax each year.

Solution:

Ria's salary before tax is £3,000 per month.

(i.e) £12 * 3,000/year =  £36,000.

Now she has to pay 20% tax.

(i.e) 80/100 * 36,000 =  £28,800

Hence, Ria receives £28,800 each year after tax.

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 i) (21 5i)?

Answers

Answer:

C i think

Step-by-step explanation:

1)
What is the volume of this rectangular prism? Type your answer in the box.
Use unit cubes to solve. Click the Unit Cube button below.
= 1 cubic unit
3 units
2 units
8 units

Answers

Answer: 48 units³

Step-by-step explanation:

   Volume can be solved with V = L * W * H

V = L * W * H

V = 8 units * 2 units * 3 units

V = 48 units³

30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6

Answer choices:
42, 24, 4, 16

Answers

Answer: 16

Step-by-step explanation:

Matt is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 12 cm and a total area of 24 cm², what is the height?

Answers

Answer:

4 cm

Step-by-step explanation:

area of a triangle = 1/2 * base * height

24                       = 1/2  12 * height

height = 4 cm

The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and let y represent the second number. What are the two numbers? Use the table to guess and check.

Numbers
x
y
x + y = 85
y = 2 x + 4





19 and 65
25 and 60
27 and 58
32 and 53

Answers

No need to guess, just math!

x + y = 85, so x = 85 - y
Let’s substitute this in the second equation

y = 2(85 - y) + 4
y= 170 - 2y + 4
3y = 174

y = 58

x = 85 - 58 = 27
[third option from the top]

Answer:c

Step-by-step explanation: took the test

Write the equation of a line in point-slope form that passes through the point (4, -2) and has a slope of 5.

Answers

[tex]\bold{ANSWER:}[/tex]
y = 5x - 22

[tex]\bold{EXPLANATIONS:}[/tex]

PLEASE HELP MEEE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

ok i’ll try to help

split the prism into two rectangle, one 5ft by 3ft and one 3ft by 2ft

multiple 5 and 3 to find the area of the first rectangle

5x3=15

then multiple 3 and 2 to find the area of the second rectangle

3x2=6

add up 15 and 6 to find the area of the total figure

your answer should be 21

hope this helped!!

A car travels xkm in 3 hours. How far will it travel in 9 hours?

Answers

Answer: 9X/3 km or divide it further

Step-by-step explanation:

Distance traveled = X

TIME = 3hours

Speed = X/3 km/hr

Distance in 9hours = X/3 × 9/1

Draw the graphs of the lines below on the same grid to find the coordinates of the point of intersection. y + 5 = 2 x y = 7 − 2 x

Answers

Answer:

The point of intersection is (3,1)

Step-by-step explanation:

Manipulate these equations to achieve the form of y = mx + c

1) y + 5 = 2x

Y = 2x - 5

2) y = 7 - 2x

Y = -2x + 7

Point of intersection is (3,1) on the graph attached

To check algebraically:

2x - 5 = -2x + 7

4x = 12

X = 3

Substitute to get y

Y = 2x - 5

Y = 2 x 3 - 5

Y = 1

Therefore (3,1)

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