Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().​

Answers

Answer 1

Answer:

We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]

So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]


Related Questions

A kukura puzzle on my math homework plz help

Answers

is there a picture?

Answer:

i have no clue ngl but online theres websites that will solve them for you

Step-by-step explanation:

if you want a link lmk lol

Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?

Answers

Answer:  $50

Step-by-step explanation:

30 × 10 = 40 ft²  [garden area]

40 ÷ 25 = 1.6

1.6 ≈ 2

For the area of the entire garden, you need to buy two bottles of fertilizer.

25 × 2 = 50        [fertilization cost for the whole garden]

What is the radius of the circle?

Answers

Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .

Step-by-step explanation:

Answer:

radius=area÷2

radius=9÷2

radius=4.5

Mark tried to pour 36 ounces of tea into 3 cups. after filling the cup to the top, there were still 13.5 ounces left in his tea pot. if each cup is the same size how much is in the tea cup? HELP PLEASE!

Answers

Answer:

its 12

Step-by-step explanation:

12 oz

Answer:

22.5/3

Step-by-step explanation:

Hey, the idea is to set up an equation that you can solve

36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left

Now just solve for how much tea is in each cup.

36-13.5 = 3(X)

3X = 22.5

x = 22.5/3

A subset of values of the function g(x) is shown in the following table.

Answers

Answer:

Option (4)

Step-by-step explanation:

x              g(x)            Ist difference          IInd difference        Ratio

1              13                      -                                   -                        -

2              3                3 - 13 = -10                         -                       [tex]\frac{3}{13}[/tex]  

3             -3               -3 - 3 = -6                   -6 - (-10) = 4            [tex]\frac{-3}{3}=-1[/tex]

4             -5               -5 - (-3) = -2                -2 - (-6) = 4             [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]

5             -3               -3 - (-5) = 2                   2 - (-2) = 4            [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]

This table depicts,

1). Ist difference is not common

2). IInd difference is common

3). Ratio is not common

Therefore, this table represents a quadratic function because the second difference are all the same value.

Option (4) will be the answer.

An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)

Answers

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

i need to identify the slope and the y-intercept of the line with a given equation, the given equation is y = 1/2x +5 . i need to graph it aswell.​

Answers

Answer:

y-intercept: 5

slope: 1/2

Step-by-step explanation:

The equation y=1/2x+5 is an example of y-intercept form(y=mx+b). This is where b represents the y-intercept and m represents the slope. I will not graph this for you but can explain it.

First plot the y-intercept on the graph. (0.5). Then use the slope to find the next point off of the y-intercept. So for example, the next point would be (2,6).

the table shows the number of gold metals won by united states athletes during the summer olympics

Answers

Answer:

A

Step-by-step explanation:

A city stretches for 480,000 meters in its greatest dimension. The mayor is having a model of the city created. The
model will be 100,000 times smaller than the actual city. How big will the model be in its greatest dimension?

Answers

Answer:

4.8

Step-by-step explanation:

took test

The model of the city would be 4.8 meters in its greatest dimension.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A city stretches for 480,000 meters in its greatest dimension.

And, The model will be 100,000 times smaller than the actual city.

Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.

Therefore, the size of the model in its greatest dimension would be;

⇒ 480,000 meters ÷ 100,000

⇒ 4.8 meters

Thus, the model of the city would be 4.8 meters in its greatest dimension.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2


Given R'S'T'U' is a dilation of RSTU, find the scale factor of dilation.

Answers

Answer:

The scale factor of a dilation is 3.

Step-by-step explanation:

Given the length ST of the rectangle RSTU

The length ST of the rectangle = 8 units

It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8

i.e.

S'T' = 3(ST)

S'T' = 3(8)      ∵ ST = 8

S'T' = 24

It indicates that the RSTU has been dilated by a scale factor of 3.

As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.

Therefore, the scale factor of a dilation is 3.

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years

Answers

Answer:

2099

Step-by-step explanation:

The formula for Exponential Decrease is given as:

P(t) = Po × e ^-rt

Where

r = Decrease rate = 3.5% = 0.035

t = time in years = 5 years

Po = Initial population = 2500

P(t) = Current Population after t years

Hence:

P(t) = 2500 × e^ -(5 × 0.035)

P(t) = 2500 × e^-0.175

P(t) = 2098.6425519

Approximately = 2099

The population of the town after 5 years = 2099

Describe the relationship between the two quantities. WILL GIVE BRAINLIEST NO JOKE ANSWERS PLEASE..

Answers

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

2/3x+5=21 pls use shoe work

Answers

[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]

Find the value of x.

Answers

Answer:

-5

Step-by-step explanation:

Distribute 4(x+6) = 4x+6

Since the angle are congruent to eachother set them equal to oneanother

4x+6 = 5x+11

Subtract 4x on both sides.

6 = x+11

Subtract 11 on both sides.

-5 = x

solve the equation and show the work please

Answers

X will be -1, Y is -5

Find the length of side a.
A. 2
B. 3
C. 34
D. 9​

Answers

It’s B


You need to use the Pythagorean theorem which is a squared + b squared = c squared

So a^2+4^2=5^2
Simplified that would be a^2 + 16 = 25

Subtract 16 from both sides
A^2=9

And the square root of nine is 3

what is 10 x 10 -9x 6 + 7 first to answer will get brainlyest

Answers

10 * 10 - 9 * 6 + 7
= 100 - 54 + 7
= 53
So, the answer to this question is 53

Please help I’ll give brainiest! Fill in the missing exponent !

Answers

Answer:

Answer is .............3.

Answer:

It's 3

So whenever u see a power outside the bracket u times it with the inner brackets

In the final answer a is with the power of 8 because 2 times 4 is 8

U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️

what are the next 3 terms of the sequence-3, -7, -11, -15?​

Answers

Answer:

-19,-23,-27

Step-by-step explanation:

When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.

Answer: -19, -23, -27

Step-by-step explanation:

<33

i need to know the next sequence in these fractions simplified

Answers

Answer:

The sequence is add 3/20

Step-by-step explanation:

How are fractals developed

Answers

Answer:

Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.

Step-by-step explanation:

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

1-yes rhombus

2-no rhombus

3-yes rhombus

ASAP plzzz answer 1 and 2!!! Directions are on the screenshot!! 50 pts + Brainliest

Answers

Answer:

- 1 -4 for the botome one

Step-by-step explanation: sorry thats all i got

Answer:

negative 1 -4

Step-by-step explanation:

please I BEG YOU! Find the ordered pair (x,y) if x+y=(5-x)+(5-y), x-y=(x-1)+(y-1).

Answers

Answer:

x=4, y=1

I think its that

Step-by-step explanation:

Please help me out! ​

Answers

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

transforming quadratic graphs

Answers

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

y = a(x - h)² + k

Standard form of a parabola:

y = ax² + bx + c

Let's find the vertex of this parabola.

(h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

7 = a[(3) - (2)]² + 4

Simplify using PEMDAS.

7 = a(1)² + 47 = a + 4

Subtract 4 from both sides.

a = 3

Now we have (h, k) and a of the vertex form.

y = a(x - h)² + k  → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4

Distribute 3 inside the parentheses.

y = 3x² - 12x + 12 + 4

Combine like terms.

y = 3x² - 12x + 16

Therefore, we have the answer:

Vertex form:

f(x) = 3(x - 2)² + 4

Standard form:

f(x) = 3x² - 12x + 16

152=8(3a-2) justify each step

Answers

Step-by-step explanation:

152 = 8(3a - 2)

152 = 8 × 3a - 8 × 2

152 = 24a - 16

152 + 16 = 24a

168 = 24a

a = 168/24

a = 7

Answer:

-7

Step-by-step explanation:

152=8(3a-2)

8(3a-2)=152

8(3a-2)/8=(152){8)

3a-2=19

3a-2+2=19+2

3a=21

3a/3=21/3

a=-7

what's the quotient of 35.86÷2.2​

Answers

Answer:

The answer to your question is 16.3.

Is this correct?
:'(

Answers

Answer:

I think that's right cus I did this test

can y’all help me???

Answers

you will need 3 cups :)
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