The function f is defined by f(x) = x^2-2x-24
if f (x + 3) = x^2+kx-21, what is the value of k?

Answers

Answer 1

Step-by-step explanation:

my guess it's 4

(x+7) (x-3)

Answer 2

The value of k for which f(x + 3) = x^2+kx-21 for the considered function f(x) is found to be k = 4

How to evaluate a given mathematical expression with variables if values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

It is given that:

[tex]f(x) = x^2 -2x - 24[/tex]

and [tex]f(x+3) = x^2 + kx - 21[/tex]

Putting x = x+3 in the definition of f(x), we get:

[tex]f(x+3) = (x+3)^2 -2(x+3) -24\\\\f(x+3) = x^2 + 6x + 9 -2x -6 - 24\\\\f(x+3) = x^2 + 4x -21[/tex]

Comparing it with [tex]f(x+3) = x^2 + kx - 21[/tex], we see that k is having value as 4 for the considered function.

Thus, the value of k for which f(x + 3) = x^2+kx-21 for the considered function f(x) is found to be k = 4

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269


Related Questions

PLEASE HELP AND EXPLAIN THIS

Answers

Answer:

y=mx+b

Step-by-step explanation:

m is your slope, b is the y intercept. Y axis=slope x+y intercept

Number 8 please help 10 points no links pleAse

Answers

The answer is A (3). In the question you are given a list of numbers, these are the results from the science project. In the list, the number 12 appears 5 times, therefore 5 dots are added above the number 12 on the dot plot. 11 appears once, 13 appears 3 times, 14 appears 3 times and 15 appears three times. Hope this helps.

3. Elizabeth is designing a ramp and a platform made of wood. Her sketch of the design
shows the dimensions of the ramp.
17 ft
Platform
Ramp
h
x ft
15 ft

Answers

17x15=255ft

255ft

Hope this helps

A spherical boulder is 20 feet in diameter and weight almost 8 tons.Find its volume.Use 3.14 for T round to the nearest whole number.

Answers

Answer:

4187 ft³

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]πr³

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 20 / 2 = 10 feet

(4/3) x 3.14 x 10³ = 4187 ft³

What exponent is equivalent to 1/8?

Answers

Answer:

Since from the laws of exponents we have that x−n=1xn , it implies that we may write 18=8−1 . 18=123=2−3.

Step-by-step explanation:

diego is preparing a spreadsheet with his net worth. he accidentally deleted the value associated with his student loan. use the information in the table to determine how much diego has in his students loan

Answers

Answer:

are the best

Step-by-step explanation:

Answer:

Study hard

Step-by-step explanation:

step 1 : write

step 2 : knowledge

step 3: remember

and last but not least

STEP 4 : BE SMART

**Part A**
Write and simplify an expression to represent the combined number of accessories sold.
**Part B**
Factor the simplified expression.
**Part C**
If the toy store sold 5 dozen of the latest action figure, how many accessories did the store sell? Enter your answer in the box.
______ accessories

Answers

Answer:

Turbo jetpack = 6(d + 7)

Xray vision glasses = 2d - 5

Invisible shield = 10d + 1

18d + 38 ;

128 dozen accessories

Step-by-step explanation:

Let the number of boxes sold = d

Turbo jetpack = 6(d + 7)

Xray vision glasses = 2d - 5

Invisible shield = 10d + 1

Combined number of accessories sold :

6(d + 7) + (2d - 5) + (10d + 1)

6d + 42 + 2d - 5 + 10d + 1

18d + 38

If 5 dozens are sold

d = 5

Number of accessories sold :

18(5) + 38

90 + 38 = 128 dozens accessories

What is the volume of this solid?

Answers

Answer:

175 in³

Step-by-step explanation:

First the area of the triangle:

S: ½a×b×SinC

½×7in×10in×Sin90°===> 35in²

and now the volume

35 in²×5 in=175 in³

What is the y-intercept of this line?

Answers

12, 8, 4, 0

Step-by-step explanation:

Thank Me. Super.

For which equations does the fraction 2/3 make the equation true? Choose all that apply A. 35x__=20 B. 26x__=18 1/3 C. 48x__32 D. 22x__14 2/3

Answers

Answer:

C. 48x = 32

Step-by-step explanation:

For which equations does the fraction 2/3 make the equation true? Choose all that apply

Solving

A. 35x =20

x = 20/35

x = 4/7

B. 26x=18

x = 18/26

x = 9/13

C. 48x = 32

x = 32/48

x = 2/3

D. 22x =14

x = 14/22

x = 7/11

The correct Option is Option C

someone please help!!​

Answers

Answer:

x^2+9x+8

Step-by-step explanation:

Expand the following:

(x + 1) (x + 8)

(x + 1) (x + 8) = (x) (x) + (x) (8) + (1) (x) + (1) (8):

x x + 8 x + x + 8

x x = x^2:

x^2 + 8 x + x + 8

Grouping like terms, x^2 + 8 x + x + 8 = x^2 + (8 x + x) + 8:

x^2 + (8 x + x) + 8

8 x + x = 9 x:

Answer: |

| x^2 + 9 x + 8

What percent of 513 is 248

Answers

Answer:

48.34%

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

248/513 is .483430799, so rounded is 48%

10^8/10^4 Simplify the expression. Write your answer as a power.

Answers

Answer:   10^4

This is an exponential expression with 10 as the base and 4 as the exponent.

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

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

What is the value of cos^-1 (15/16) rounded to three decimals

Answers

.............................

what is the mass of an object that has a volume of 34 cm^4 and a densityof 6 g/cm^3?

Answers

Answer:

Mass = density * volume

Mass = 6 g/cm^3 / 34 cm^3

Mass = 0.1764705882 grams

Step-by-step explanation:

Answer:

204 g

Step-by-step explanation:

*I thinks you have made a mistake with the unit of the volume*

Density = mass / volume

density = 6 g/cm³volume = 34 cm³

Mass = volume * density

mass = 6 * 34

mass =204 g

what percent of 12 is 3.3?

Answers

Answer:

27.5%

Step-by-step explanation:

Hi!

To do this problem, we have to set up a percent proportion:

[tex]\frac{3.3\\}{x}[/tex] = [tex]\frac{12}{100}[/tex]

In this problem, the denominators are the percent values and the numerators are the numerical value.

x = [tex]\frac{3.3*100}{12}[/tex]

x = [tex]\frac{330}{12}[/tex]

x = 27.5%

Hope this helped.

solve the equation 6n -5 + 5n = 15 + n -4 + 8n

Answers

Answer:

if your solving for n.....

Step-by-step explanation:

n=3

N= 3 if you’re looking for n

seven people sit in a circle.How many ways can this be done if two people A and B sit together ​

Answers

I’m pretty sure you would just multiply 7 times 2 (since it’s A and B)

Step-by-step explanation:

Suppose the persons are a, b, c, d, e, f and g.

Let us also assume that a and b always sit together.

Let us then put the remaining 5 persons in a circular arrangement. It can be done in (5–1)! = 4! = 24 ways. Now, the pair (a,b) can be placed between any two persons already placed in circular order. There are 5 such gaps. Finally the pair (a,b) can be placed in two ways viz. (a,b) and (b,a).

So, total number of ways a group of 7 persons can be seated around a circular table where 2 specified persons always sit together is 24 X 2 X 5 = 240

Factor by grouping plss help

Answers

Answer:

(5 x + 7)(x^2 + 3)

The length of a rectangular garden is three feet less than twice its width.

Answers

Answer:

Width of the rectangle is 8 feet

Length of the rectangle is  13 feet

Step-by-step explanation:

Complete question -

The length of a rectangular garden is three feet less than twice its width. If the perimeter of the garden is 42 feet, what is its length?

Solution

Let the width  of the  rectangle be X feet

Length of the rectangle would be 2X -3  feet

Perimeter of the rectangle is 2 (length + breadth)

Substituting the given values, we get -

Perimeter =  2 (length + breadth)

[tex]42 = 2 [(2X-3) + X]\\42 = 4X - 6 + 2X\\48 = 6X\\X = 8[/tex]

Width of the rectangle is 8 feet

Length of the rectangle is  [tex]2*8 -3 = 16-3 = 13[/tex] feet


Georgia adds two proper fractions and gets 8/7 as an answer
Work out

the two fractions.​

Answers

Answer:

1/2 and 9/14

Step-by-step explanation:

Let the first fraction be 1/2

Let the second fraction be x

1/2 + x= 8/7

x= 8/7-1/3

= 16-7/14

= 9/14

Hence the two numbers are 1/2 and 9/14

The Venn diagram below provides examples of domestic and foreign-policy issues
+
Domestic Issues
Foreign Policy Issues
How high should taxes be?
?
How can peace in the
Middle East be achieved?
How can the number of
jobs in the U.S. economy
be increased?
How can the Ukraine be
protected from Russia?
Which issue completes the diagram?
How can the conflict in Syria be ended?
How can air pollution be reduced?
How can ISIS be removed from Syria and Iraq?
How can Iran be stopped from developing nuclear weapons?

Answers

Answer: the answer is D

Step-by-step explanation:

Answer:

How can air pollution be reduced

Step-by-step explanation:

Unless someone wants everyone to die sooner then this should be the main concern

hello do know how sovle surface area​

Answers

Answer:

if I know then I will tell

NEED HELP ASAP WILL MARK BRAINLIEST
The dimensions of a cube are tripled. Choose True or False for each statement.
True
B
False
А
A. The perimeter of each face is tripled.
True
B
False
A
B. The surface area of the cube is multiplied by 6.
True
A
C. The volume of the cube is multiplied by 27.
False
B

Answers

Answer:

A=TRUE B=FALSE C=FALSE

Step-by-step explanation:

for b and c you don't know the length so you don't know what to multiply them from

PLZ  GIVE BRAINLY

What's wrong with camping in the Sahara Desert​

Answers

Answer:

The northeastern winds dry out the air over the desert and drive hot winds toward the equator. These winds can reach exceptional speeds and cause severe dust storms that can drop local visibility to zero. So basically you won’t be able to do anything, you would be dieting of heat, and won’t be able to see, so that Is whats wrong with camping in the Dahara Desert.

dude I don’t even know anymore

Answers

Answer:

just use the line on the graph :D

Step-by-step explanation:

f(6) =2

the maximum is 7

hope this helps!

Divide 360 in the ratio 1:7

Answers

Answer: 45:315

Step-by-step explanation:

Find the product of (2a+b)^2

Answers

Answer:

(2a+b)^2

4a^2 + 4ab + b^2

product=4

Answer:

4a²+b²+4ab

Step-by-step explanation:

(2a+b)²=(2a)²+(b)²+2×2a×b

(a+b)²=a²+b²+2ab

answer:- 4a²+b²+4ab

more slope pls helpppppp

Answers

Answer:  C) 2

Explanation:

Recall that the general point-slope form is [tex]y - y_1 = m(x - x_1)[/tex] where m is the slope and [tex](x_1, y_1)[/tex] is the point the line goes through. We see that the 2 and the m match up, so m = 2 is the slope.

Side note: We can rewrite that given equation into y - (-5) = 2(x - (-1)) to see that the line goes through the point (-1, -5)

Answer:

C: 2

Step-by-step explanation:

y + 5 = 2x + 2 (distribute 2)

y = 2x -3 (subtract 5 from both sides)

2x means: slope times x

What does P’ in geometry. What does the ‘ mean when doing probability?

Answers

Answer:

I believe its proposition

Step-by-step explanation:

im almost 100% sure

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