Write the expressions for (f x g) (x) and evaluate (f-g) (4)

Answers

Answer 1

The product and the sum of the functions will be 3x² - 6x - 24 and 4x + 2. The value of the function (f - g) at x = 4 is negative 18.

What is a function?

In mathematics, functions are everywhere and are necessary for constructing physical connections. A function is a statement, rule, or law that establishes the connection between two variables.

The functions are given below.

f(x) = x - 4

g(x) = 3x + 6

Then the product of the functions will be

(f × g)(x) = (x - 4)(3x + 6)

(f × g)(x) = 3x² -12x + 6x - 24

(f × g)(x) = 3x² - 6x - 24

Then the sum of the functions will be

(f + g)(x) = x - 4 + 3x + 6

(f + g)(x) = 4x + 2

Then the difference in the functions at x = 4 will be

(f - g)(4) = (x - 4) - (3x + 6)

(f - g)(4) = x - 4 - 3x - 6

(f - g)(4) = -2x - 10

(f - g)(4) = -2 (4) - 10

(f - g)(4) = -8 -10

(f - g)(4) = -18

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Related Questions

V
Write 8.4% as a fraction in simplest form.

Answers

Answer:

21/250

Step-by-step explanation:

Converting percentage to fraction :

Divide by 100%8.4%/100%8.4/100Multiply both sides by 10 to remove the decimal8.4 x 10 / 100 x 1084/1000Divide both sides by 4(84/4)/(1000/4)21/250

Which of the following functions matches this graph?
X
-54-3 -2 -1
1 2 3 4 5
a. y = x²
b. y = 3x²
M Ca
a
7 M
T?
U
d.
y
11
--x
10

Answers

Answer:

x plus y is 44 to the 99th power

Step-by-step explanation:

HELP!!! The box plots compare the speeds of cars traveling on a highway​

Answers

Answer:

See below ~

Step-by-step explanation:

The statements which are true :

The interquartile range for the cars going South is 9The maximum speed for the cars going North is higher than the maximum speed for the cars going SouthThe interquartile range for the cars going North is higher than the interquartile range for the cars going South

At a Forex Bureau, one US dollar costs Ug.sh.2800. How much Ugandan shillings will a tourist who has US dollars 600 get?​

Answers

Answer:

1,680,000 shillings

Step-by-step explanation:

As one US dollar is 2800, and the dollar is repeated 600 times. You multiply Both

=2,800×600

=1,680,000 shillings

--~Hope you understood~--

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

44.415 degrees

Step-by-step explanation:

find the third side

49 - 25 = 24

square root of 24 =

2√6

law of cosines

missing angle = arccos ((a^2+b^2-c^2)/2ab))

Answer:

Step-by-step explanation:

We know that all angles are equal to 180.

The angle right next to the letter see is a Right Angle that equals 90 degrees.

To find the sum of angle A, we have to do some simple math.

180-90= 90

Then we have two angles left. We have to divide 90 in half.

90/2= 45

then to check your work: 90+45+45= 180

So angle A is 45 degrees.

Please im been stuck on this for ages​

Answers

Liam’s mistake is that he translated one part of the triangle to another part, rendering the translation inaccurate. The correct answer is that Shape F moves 5 units to the left and 6 units up.

A manufacturer inspects 1000 cars and finds that 988 cars have no defects. What is the experimental probability that a car chosen at random will have no defects? If there are 2500 cars in a company, predict the number of cars that are likely to have no defects.

Answers

The experimental probability is the number of cars with no defect/ total cars inspected: 988/100 = 0.988


multiply total cars by experimental probability

2500 x 0.988 = 2470

Answer:

98.8%; 2470 cars

Step-by-step explanation:

3. What is the median of this data set

Answers

Answer: 3.5
Explanation: Median means the middle of the data set. 3 & 4 are the middle. When two numbers are in the middle, you add them then divide by 2.

A shop has 31 plant pots.
Some are blue, some are yellow and the rest are red.
There are five more blue pots than yellow pots.
There are four times as many blue pots as there are red pots..
Calculate how many pots there are of each colour.

Answers

Answer:

16 blue, 11 yellow, and 4 red

Step-by-step explanation:

How to simplify the problem in the photo?

Answers

Answer:

2^3 a^5 b^4

4b^2 c^3

2^(3-2) a^5 b^(4-2)

c^3

2a^5 b^2

2a^5 b^2 c^3

6!
type in expanded form and multiply

Answers

Answer:

see below

Step-by-step explanation:

6!    is    six factorial

   =   6 x 5 x 4 x 3 x 2 x 1  = 720

How many fluid ounces are there in 3 pints and 8 fluid ounces?

Answers

Answer:

56

Step-by-step explanation:

((3*2)+1)*8

Answer:

1 pint equals 16 ozs. so the answer in 48

A car travels for 7 hours and 50 minutes at an average speed of 130 km/h. How far has the car travelled (in km)?​

Answers

The car that travels for 7 hours and 50 minutes at an average speed of 130 km/h covered a distance of 1017.9 km.

How to find the distance travelled by a car?

The car travels for 7 hours and 50minutes at an average speed  of 130 km/h.

Therefore,

speed = distance / time

speed = 130 km/h

time = 7 hours 50minutes = 7 + 0.833333 = 7.83 hours

Therefore,

130 = distance / 7.83

cross multiply

distance = 7.83 × 130

distance = 1017.9 km

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For which values of m is the equation always true.​

Answers

Answer:

m∈(-∞;-2]∪[6;+∞).

Step-by-step explanation:

1) Δ=b²-4ac, then

m²-4(m+3)≥0; ⇔m²-4m-12≥0; ⇔ (m-6)(m+2)≥0;

2) m∈(-∝;-2]∪[6;+∝).

Solve the equation.
4x – 2 = -3x2 + 3x
x = [ ? ],

Answers

Answer:

[tex]x = - 4[/tex]

Step-by-step explanation:

[tex]4x - 2 = - 3 \times 2 + 3x[/tex]

Calculate the product:

[tex]4x - 2 = - 6 + 3x[/tex]

Rearrange the terms:

[tex]4x - 3x = - 6 + 2[/tex]

Combine like terms:

[tex]x = - 6 + 2[/tex]

Calculate:

[tex]x = - 4[/tex]

Answer:
x = 1/2
Step-by-step explanation:
Combine exponents
4x-x-2=-3^2+3xx
4x-x-2=-3x^2+3x^2
Combine like terms
4x-2=-3x^2+3x^2
4x-2=0
Add 2 to both sides
4x-2=0
4x-2+2=0+2
Simplify:
Add the numbers
4x-2+2=0+2
4x=0+2
Add the numbers again
4x=0+2
4x=2
Divide both sides by the same factor
4x=2
4x/4 = 2/4
Simplify:
Cancel terms that are in both the numerator and denominator
4x/4 = 2/4
X= 2/4
Divid the numbers
X= 2/4
X= 1/2
Solution/ Answer
x= 1/2

Hope this helps

Please Answer The Following Question: Write the rational approximation of straight pi correct to two decimal places, where straight pi almost equal to 3.14159265 space

[Note: begin mathsize 12px style straight pi end style is the ratio of a circle's circumference to its diameter.]

Answers

Answer:

Most people know Pi up to 2 decimal places (3.14) because you can always refer to the internet for those extra decimal places anytime you want.

Step-by-step explanation:

It's easy to create rational approximations for π. Every time you write down π to a few decimal places, that's a rational approximation.

Depending on the purpose of a calculation, π can be approximated by using fractions for ease of calculation. The most notable such approximations are 22⁄7 (relative error of about 4·10−4) and 355⁄113 (relative error of about 8·10−8).

The points (-4, -3) and (r,15) lie on a line with slope 2. Find the missing coordinate

Answers

Answer is 5


Slope is found by finding change in y over change in x


First I solved for Y, -15-3= -18


So I knew x had to be -9 for the slope to be 2


See picture for detailed math

Katelyn would like to have some bracelets made for her friends. A bracelet maker charges a flat rate of $4, plus $0.75 per bracelet. Katelyn has saved $29 to for the bracelets.

Please refer to the picture!!

Answers

Answer:

b=35 because 4+29=35 and that my statement for this answer so glad with the rest

Help me please

1,894.32 minus 396.00

Answers

Answer:

1,498.32

Step-by-step explanation:

1,894.32 - 396.00 = 1,498.32 You subtract 396 from 1,894.32

Choose the function that correctly identifies the transformation of f(x) = x2 shifted four units right and seven units down.

Answers

Answer:

Ok hello my name is Christopher and I have already done this and the answer is (6,-7)

Step-by-step explanation:

Need help asap trigonometric ratios

Answers

Answer:

D

Step-by-step explanation:

cotangent = cos / sin        

                 = 4/3

using pythagorean theorem   4^2 + 3^3 = h^2      <=====  h = 5

      then cos = 4/5    sin = 3/5    

               then,  since    csc = 1/sin = 5/3

4. Select all expressions that are equivalent to 3⁹ a. 83 b. (3.3) c. (34)²​

Answers

Answer:

C and B

Step-by-step explanation:

Evaluate all the exponents

3^8: 6,561

8^3 = 512

(3 * 3) ^4 = 6,561

(3^4)^2 = 6,561

Options C and B would work.

PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL

Answers

Answer:

115 degrees

Step-by-step explanation:

180-165

=115

~rere

Answer:

x = 115°

Step-by-step explanation:

Given angle y = 65°

Find angle x

=> x + y = 180

=> x + 65° = 180

=> x = 180 - 65

=> x = 115°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero slope, or an undefined slope. (6,2) and (1,2)​

Answers

Answer:

line will be horizontal running through (0,2)

Step-by-step explanation:

6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.

A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.

Answers

Answer:

A, D, E

Step-by-step explanation:

AREA OF SQUARE

[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]

AREA OF RECTANGLE

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

Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.

[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]

Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.

Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5

Answers

Step-by-step explanation:

4x-1

x+-×+1=5

×-5

there are no terms like that

HELp!!! 100 POINTS.

What is the formula of g in terms of f?

Answers

Answer: C

Step-by-step explanation: bcuz

Answer:

[tex]\textsf{A)} \quad f\left(-\dfrac{1}{2}x\right)[/tex]

Step-by-step explanation:

From observation of the given graph, function f has been reflected across the y-axis.  

When a graph is reflected across the y-axis, the y-coordinate stays the same while the x-coordinate is negated.

Therefore, replace y = f(x) with y = f(-x), so:

[tex]\implies g(x) = f(-x)[/tex]

It appears that the graph has also been stretched parallel to the x-axis.

When a graph is stretched parallel to the x-axis the x is multiplied by a constant.  If the constant is greater than 1, the graph is compressed.  If the constant is greater than zero and less than 1, the graph is stretched.

As the graph has been stretched, the constant is 0 < c < 1, so:

[tex]\implies g(x)=f\left(-\dfrac{1}{2}x\right)[/tex]

A cylinder has a base diameter of 12 inches and a height of 13 inches. What is its volume in cubic inches, to the nearest tenths place?

Answers

Given:Diameter= 12 inHeight= 13 inTo find:

The volume of the given cylinder.

Solution:

First, we'll have to find the raduis.

[tex]d = 2r [/tex]

[tex]r = \frac{12}{2} [/tex]

[tex]r = 6 \: in [/tex]

Now, we can work out the volume.

[tex]V = \pi {r}^{2} h[/tex]

[tex]V = \pi \times {6}^{2} \times 13[/tex]

[tex]V = 1470.26536 \: {in}^{3} [/tex]

[tex]\large\boxed{\sf{V = 1470.3 \: {in}^{3}}}[/tex]

Hence, the volume of the given cylinder is 1470.3 cubic inches.

Choose all the factors of 12. (Check all that apply.) multiple choice
10
9
2
6
3
8
5
12
7
11
4
1
Please help

Answers

Answer:

Hey!!!!

the answers are 2, 6, 3, 12, 4, 1

Please read the explanation... it always helps..

Step-by-step explanation:

Alrighty... let's begin....

A factor is any number that you can multiply by another number to get a product

So choose the numbers you can mutiply by another number to get twelve... which are...  2, 6, 3, 12, 4, 1

if you are wondering why twelve well... 12 x 1 = 12

i hope this helps!!!!

The factors of 12 will be 6,2,1,12,3,4

find the difference between 0.1kg and 75kg

Answers

Answer:

25 gm

Step-by-step explanation:convert kg in gr

therefore

0.1 * 1000 = 100 gm

now take difference :-

100 - 75 = 25 gm

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