If f(x) = 5x - 4 and g(x) = 4x + 1, find (f - g)(x).

Answers

Answer 1

Answer:

Step-by-step explanation:

5x - 4 - (4x + 1)

5x - 4 - 4x + 1

x - 3


Related Questions

Suppose a car rental company charges $22.50 plus 10 cents per mile write an equation you could solve to find how many miles you drove if the rental charge was 40.00

Answers

Answer:

Equation= 40=22.50+.10(how many miles)

175 miles= How many miles you drove.

Step-by-step explanation:

Equation= 40=22.50+.10(how many miles)

40-22.50=.10(how many miles)

17.5=.10(how many miles)

175 miles= How many miles you drove.

ASAP A ramp into a building forms an 8° angle with the ground. If the entry point of the ramp is 7 feet from the building, how many feet from the ground is the end of the ramp? Round the solution to the nearest hundredth.

Answers

Answer: .98 feet

Step-by-step explanation: Took the test

Answer:

.98

Step-by-step explanation:

i took the quiz

What is the distance between the pool in the main office in miles? Round to the nearest 10th period (8,1)(6,-6)

Answers

Answer & Step-by-step explanation:

For this problem, we are going too have to use the distance formula.

[tex]Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

We can plug in the coordinate points that we are given to their respectful places.

[tex]Distance=\sqrt{(6-8)^2+(-6-1)^2}[/tex]

[tex]Distance=\sqrt{(-2)^2+(-7)^2}[/tex]

[tex]Distance=\sqrt{4+49}[/tex]

[tex]Distance=\sqrt{53}[/tex]

[tex]Distance=7.3[/tex]

So, the distance between the pool and the main office is 7.3 miles.

Which side of AABC is the longest?

Answers

Answer:

B

Step-by-step explanation:

The side opposite the largest angle is the longest side.

Hope this helps

Yup! Option B is correct

Explanation:
From B to C the line is slanted making it look more longer than the rest!

Carrie took a 24-hour train ride from Colorado to Illinois. If she arrived in Illinois at 2:45pm CST on Wednesday, when she did she leave Colorado?

Answers

Answer:

Carrie left Colorado at 2:45pm CST on Tuesday.

Step-by-step explanation:

The train travels a total of 24 hours to get from Colorado to Illinois, that is, it takes one complete day of travel to get from one city to the other.

So, if Carrie arrives Illinois at 2:45pm CST on Wednesday, she left Colorado exactly one day before that, in the same hour, so she left Colorado at 2:45pm CST on Tuesday.

URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!1 A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it? A) 210 inches B) 250 inches C) 180 inches D) 200 inches

Answers

Answer:

c) 180in

Step-by-step explanation:

So first you divide 150 by 5 to know by how much it was increased

150/5=30

Then multiply the length by that same 30 since it was scaled up by 30

30*6=180

Answer:

C) 180 because you do ratio of 5:6 = 150:X. X=180 because 150/5=30 so you take 30x6 = 180

how do you factor 5x^2b^2 + 14xb^2 -3b^2

Answers

Answer:

[tex]5b^2(x-0.2)(x+3)[/tex]

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of [tex]b^2[/tex]. You can therefore factor that out first:

[tex]5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)[/tex]

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

[tex]5b^2(x-0.2)(x+3)[/tex]

Hope this helps!

100 POINTS WILL MARK BRAINLIEST x^2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)^2 = q, where p and q are integers? Subtract 5 from both sides of the equation Add 3 to both sides of the equation Add 5 to both sides of the equation Subtract 3 from both sides of the equation

Answers

Answer:

We will add 3 to each side of the equation

Step-by-step explanation:

x^2 − 8x + 13 = 0

We want to complete the square

We will subtract 13 from each side of the equation

x^2 -8x +13 -13 = 0 -13

x^2 -8x = -13

Then take the coefficient of x

-8

Divide by 2

-8/2 = -4

Square it

(-4)^2 = 16

Add this to each side

x^2 -8x +16 = -13+16

( x-4) ^2 = 3

The sum of subtracting 13 and adding 16 is adding 3

Answer:

It is Subtract 3 from both sides of the equation

Step-by-step explanation:

Order the cones described below from least to greatest volume. Cone​ 1: radius 4 cm and height 12 cm Cone​ 2: radius 8 cm and height 6 cm Cone​ 3: radius 6 cm and height 7 cm

Answers

Answer:

Cone 1 ⇒ Cone 3 ⇒ Cone 2

Step-by-step explanation:

V=πr²h /3

V cone1 = 3.14*4²*12/3= 200.96 cm³V cone2 = 3.14*8²*6/3 = 401.92  cm³V cone3  = 3.14*6²*7/3= 263.76 cm³

Order the cones from least to greatest volume

Cone 1 ⇒ Cone 3 ⇒ Cone 2

Among fatal plane crashes that occurred during the past 70 ​years, 581 were due to pilot​ error, 56 were due to other human​ error, 579 were due to​ weather, 555 were due to mechanical​ problems, and 526 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation​ safety, and can anything be done about​ it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing​% Other human error nothing​% Weather nothing​% Mechanical problems nothing​% Sabotage nothing​%

Answers

Answer:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

Pilot error, better training of pilots may reduce accidents.

Step-by-step explanation:

The total number of crashes is:

[tex]n = 581+56+579+555+526\\n=2297\ crashes[/tex]

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.

Find the range of the following data:
(a) The weights (in kg) of 10 persons are:
22, 27, 29, 31, 33, 36, 37, 39, 41, 43.​

Answers

Answer:

range = 21 Kg

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set

largest value = 43 Kg and smallest value = 22 Kg, thus

range = 43 - 22 = 21 Kg

[tex]answer =21 \\ solution \\ given \: data = 22 ,27,29,31,33,36,37,39,41,43 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: \: \: = 43 - 22 \\ \: \: \: \: \: \: \: \: = 21 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in., 4 in. × 6 in., and 4.25 in. × 6 in. Which size postcard should she use? Explain.

Answers

Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.

Tanya buys 12 water bottles. Of these bottles, 5 hold 300 milliliters each and 7 hold 1.5 liters each. Part A How much water, in milliliters, does Tanya buy? Enter your answer in the box.​ Part B How much water, in liters, does Tanya buy? ​Enter your answer in the box.​

Answers

Answer:

A- 12,000ml

B- 12l

Step-by-step explanation:

To find milliliters:

1.5l = 1500ml

300(5) + 1500(7) = (1500 + 10500 =) 12,000ml

To find liters:

300 ml = 0.3l

0.3(5) + 1.5(7) = (1.5 + 10.5 =) 12L

Hope this helps!

which of the following is equal to the rational expression when x ≠ -4 or 16

Answers

Answer:

A

Step-by-step explanation:

(x^(2)-16)/((x-16)(x+4))=

[(x+4)(x-4)]/(x-16)(x+4)=

x-4/x-16

Answer:

A. [tex] \dfrac{x - 4}{x - 16} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 - 16}{(x - 16)(x + 4)} = [/tex]

[tex] = \dfrac{(x - 4)(x + 4)}{(x - 16)(x + 4)} [/tex]

[tex] = \dfrac{x - 4}{x - 16} [/tex]

What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?

Answers

Answer:

What? Retype the question below and ill answer it, but this isnt answerable.

Step-by-step explanation:

What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest ten? What is \redD{\text{A}}Astart color #e84d39, start text, A, end text, end color #e84d39 rounded to the nearest hundred?

Like what kind of language is this ;--;

The equation of a circle is x2 + y2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle?

Answers

Step-by-step explanation:

x2+y2+6y+(9-9)=7

x2+y2+6y+9=16

x2+(y+3)2=16

center:(0,-3)

r:4

Does anyone know the answer?

Answers

Answer:

i think it the 2 one

Step-by-step explanation:

The sum of two numbers which are in the ratio 5:7 is 48. Find the smaller number

Answers

Step-by-step explanation:

5+7=12

5/12×48 7/12×48

=20 =28

I don't say you have to mark my ans as brainliest but if my ans has really helped u pz dpn't forget to thank me....

suppose f(x)=x^2. what is the graph of g(x)=f(3x)?

Answers

Answer:

Option A is correct

g(x) = 9x^2

Step-by-step explanation:

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

=> Option B and C are incorrect (the value of y is smaller than 0)

Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

=> Option D is incorrect

=> Only option A is correct

Hope this helps!

Option A is correct

g(x) = 9x^2

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

B and C are incorrect (the value of y is smaller than 0)

Let's continuously see option D. The graph shows that when x is equal to 3, y is approximately 5.

This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

Option D is incorrect

Only option A is correct

To learn more about the graph visit:

https://brainly.com/question/16847434

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What are the domain and range of the function

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me my frnd..

__________________________________

Hey!!!!!!

Domain and Range

Let R be a relation from A to B.

Then, the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the Range.

For example:

If R:(A,B)={(1,1), (2,4), (3,9)} then,

Domain={1,2,3}

Range={1,4,9}

Hope it helps...

Good luck on your assignment.........

Stay Safe......

__________________________________

Angel entered a triathlon (a three-part race). He swam 1 mile, rode his bike 30 miles, and ran 10 miles. How far did he go altogether?

Answers

Answer:

41 miles

Step-by-step explanation:

30+10+1=41

filler

filler

filler

filler

He traveled a total of 41 miles

Al mediodía me he comido la mitad de una tortilla de patatas. A la hora de la merienda, Ana ha tomado un tercio de la tortilla original, y para cenar, Luis se ha tomado tres cuartas partes de lo que quedaba. ¿Qué fracción de la tortilla queda al final del día?

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

La mitad es 1/2 y un tercio es 1/3. Como una persona se comió 1/2 y Ana 1/3, puedes determinar lo que se comieron sumando:

[tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]=[tex]\frac{3+2}{6}[/tex]=[tex]\frac{5}{6}[/tex]

Como se comieron 5/6, puedes restar esto de 6/6 para determinar cuanto quedó de la tortilla:

[tex]\frac{6}{6}-\frac{5}{6}= \frac{6-5}{6} =\frac{1}{6}[/tex]

De acuerdo a esto, quedó 1/6 de la tortilla. Luis tomó tres cuartas partes de lo que quedaba, lo que significa que quedó 1/4 de 1/6. Para encontrar la fracción de la tortilla que quedó puedes dividir 1/6 entre cuatro para saber a cuanto corresponde una cuarta parte de 1/6:

[tex]\frac{1}{6}[/tex]÷4= [tex]\frac{1/6}{4}= \frac{1}{6*4}=\frac{1}{24}[/tex]

De acuerdo a esto, la fracción de la tortilla que quedó al final del día es [tex]\frac{1}{24}[/tex].

Which of the following is an example of a quadratic equation?
O A. y = 4x +6
O B. x2 - 64 = 0
O C. X+ 10 = 33
O D. y=1/x2+6

Answers

Answer:

[tex]x^{2} -64 = 0\\[/tex]

Step-by-step explanation:

According to Wikipedia In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.

can someone please help and explain​

Answers

Answer:

2

Step-by-step explanation:

2 4/5 * 5/7

Change to an improper fraction

(5*2+4)/5 * 5/7

14/5 * 5/7

Canceling the 5's

14/7

2

Answer:

2

Step-by-step explanation:

[tex]2\dfrac{4}{5}\times \dfrac{5}{7}= \\\\\\\dfrac{14}{5}\times \dfrac{5}{7}=\\\\\\\dfrac{14\times 5}{5\times 7}=\\\\\\\dfrac{14}{7}=\\\\\\2[/tex]

Hope this helps!

Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

10 and 8

Step-by-step explanation:

A closed cylinder has a radius of 3cm and height 7 cm. find its total surface area.​

Answers

The total surface area of the cylinder is 188.4 cm².

Given that, the radius of the cylinder=3 cm and the height of the cylinder=7 cm.

We need to find the total surface area of the cylinder.

What is the formula to find the total surface area of the cylinder?

The formula for the total surface area of a given cylinder whose radius is r and height is h is 2πr (h + r).

Now, 2×3.14×3(7+3)=188.4 cm².

Therefore, the total surface area of the cylinder is 188.4 cm².

To learn more about the total surface area of the cylinder visit:

https://brainly.com/question/13952059.

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A triangle has two sides of 8 and 15. What is the largest possible whole number length for the third side?

Answers

Answer:

Largest possible value for the 3rd side can be 22.

Step-by-step explanation:

Property of sides of a triangle:

If two sides of a triangle are [tex]a[/tex] and [tex]b[/tex] long, then the length of third side [tex]c[/tex] must be:

[tex](a+b) > c[/tex]

i.e. the sum of two sides [tex]a[/tex] and [tex]b[/tex] must be greater than the third side [tex]c[/tex].

So, to find the largest possible value:

[tex]a = 8\\b= 15[/tex]

[tex]a+b=23[/tex]

Largest possible value of [tex]c[/tex] can be lesser than 23.

i.e. 22 can be the largest possible value of the third side.

1. An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3,−2). Find the other endpoint.

______


2. An endpoint of a line segment is (−10,−2) and the midpoint of the line segment is (0,4). Find the other endpoint.

______

Answers

Answer:

1. (2, -9) 2. (10, 10)

Step-by-step explanation:

Which type of triangles can be formed by taking the cross-section of a cube?

Answers

Answer:

2 Right Angled Triangles

Step-by-step explanation:

algebraic fractions and formulae
(help me find Z)
thank you ❤❤​

Answers

Answer:

Step-by-step explanation:

z= y( z-y)/x

z = yz - y^2 /x

zx = yz -y^2

y^2 = yz - zx

y^2 = ( y- x)z

therefore  z = y^2/(y-x)

please mark me as the brainliest

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