If f(x)=16x- 30 and g(x)= 14x-6, for which value of x does (f-g)(x)=0?

Answers

Answer 1

Answer:

x=12

Step-by-step explanation:

16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12


Related Questions

The price of an item has dropped to 27$ today. Yesterday it was 90. Find the percentage decrease

Answers

The percentage decrease would be 70 percent.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The price of an item has dropped to 27$ today. Yesterday it was 90.

90 - 27 = 63

The percentage decrease;

63 / 90 x 100= 70%

Hence, The percentage decrease would be 70 percent.

Learn more about percentages;

https://brainly.com/question/13450942

#SPJ1

Is 7/7 a proper fraction, an improper fraction, a mixed number, or decimal fraction?
None of these choices are correct.
O a decimal number
an improper fraction
O a mixed number
O a proper fraction

Answers

It is a proper fraction

Photo is attached, please help! Will give brainliest

Answers

Here you go! please make sure you read it all too understand it, and make sure you try work before asking for help :D Have a awesome day/night

Answer:735

Step-by-step explanation:I was hoping you’d have another. Dv/dt=d/dt((7+5t)^3)=3x5x((7+5t)^2)=15x49. Does this work?

an airplane that is flying at an altitude of 30 000 ft is beginning to descend at a rate of 1000 feet per minute. a helicopter is beginning its trip, starting at an altitude of zero feet. the helicopter ascends more slowly than the airplane, going up at a rate of 500 feet per minute. after how many minutes will the airplane and the helicopter be at the same altitude

Answers

Using linear functions, it is found that the airplane and the helicopter will be at the same altitude after 20 minutes.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The functions that gives the height of the airplane and the helicopter, after t minutes, is given by:

A(t) = 30000 - 1000t.H(t) = 500t.

They will be equal when:

A(t) = H(t).

Hence:

30000 - 1000t = 500t

1500t = 30000

t = 30000/1500

t = 20 minutes.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Share £20 in the ratio 2:3

Answers

Answer:

£8 : £12

Step-by-step explanation:

2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12

14 A ladder 10m long leans against a wall and make 45" with the ground. What is the height of the wall? 14 A ladder 10m long leans against a wall and make 45 " with the ground . What is the height of the wall ?​

Answers

The wall is 7.07m, or if rounding, 7m

Answer:

A 10m ladder is leaning against a wall. The ladder makes an angle of 78o with the ground. How high up the wall does the ladder reach? Please include a diagram in the answer.

Th function you need is the sine function. The sine of 78° is about 0.978. That is the ratio of the opposite side (wall) over the hypotenuse (ladder) of the right triangle in this problem.

10 m · sin 78° = 10 m · 0.978 = 9.78 meters.

The ladder reaches 9.78 meters up on the wall.

Step-by-step explanation:

S
2
Question 10 of 10
What is the value of p?
90
125
OA. 125°
O B. 55°
O C. 45°
O D. 35°
SUBMIT

Answers

Answer:

D

Step-by-step explanation:

You do 180-125 to find the angle (because its a straight line) and then you get 55, then you have a right angle so you have 90 and then you do:

55+90+p=180

and then you get

145 +p=180

180-145=35

p=35

The measure of an interior angle of a regular polygon is 120°. What is the measure of each exterior angle? The polygon has how many sides?

Answers

Answer:

60°, arms 6

Step-by-step explanation:

let the total arms = n

total generated angles in a regular polygon is = (n-2)×180

now,

(n-2)×180 = 120 n

or, 180n - 360 =120n

or, 60n = 360

or, n = 6

What is the equation of a circle with center (8, 6) and radius 5?

Answers

The equation of the circle is [tex](x-8)^2 + (y-6)^2 = 25[/tex].

20 people have volunteered for a 5-person neighborhood advocacy committee. 10 of them are homeowners and the rest are local business owners. How many ways are there to select the 5-person committee such that exactly 2 local business owners are represented?

Answers

We have that the ways 5-person committee such that exactly 2 local business owners are represented is mathematically given as

N=5940

What is Probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The Probability that 2 local business owners are represented on the committee is given by finding the ways they can be seated amongst the 5

Generally, 2 local business owners are represented is mathematically given as

N=11C3 x 9C2

Therefore

N=165 x 36

N=5940

Therefore the way 5-person committee such that exactly 2 local business owners are represented is mathematically given as

N=5940

For more information on Probability visit

brainly.com/question/795909

#SPJ1

Which is the correct classification of StartRoot 18 EndRoot?
irrational number, non-repeating decimal
irrational number, terminating decimal
rational number, terminating decimal
rational number, non-repeating decimal

Answers

The correct classification for √18 is an irrational number, non-repeating decimal.

The correct classification of √18 is an irrational number.An irrational number is a number that cannot be expressed as a fraction (ratio) of two integers and cannot be written as a terminating or repeating decimal.

√18 cannot be simplified to a fraction, and when expressed as a decimal, it is a non-repeating decimal that continues indefinitely without a pattern.

Therefore, the correct classification for √18 is an irrational number, non-repeating decimal.The number √18 is the square root of 18. An irrational number is a number that cannot be expressed as a fraction of two integers (a/b) where a and b are integers and b is not equal to zero.

When we calculate the square root of 18, we find that it is approximately 4.24264. However, this decimal representation continues indefinitely without repeating or terminating. It does not settle into a pattern of digits that repeats infinitely like a rational number or terminate after a finite number of decimal places.

Since √18 cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating, it falls under the category of an irrational number.

Therefore, the correct classification of √18 is an irrational number, specifically a non-repeating decimal.

Learn more about real numbers here:

https://brainly.com/question/17201233

#SPJ8

Please state the equation of the line in standard form

Answers

Answer:

See below

Step-by-step explanation:

Slope = rise / run

           from 0,-1   to  1.5 , 0

               this is    1 / 1.5    =   2/3

y xis intercept = -1

y = 2/3 x   -1            Slope intercept form

2/3 x - y   = 1             another form

2x - 3y = 3                Standard form (I think this is 'standard form' ....yah?)


A. 6x 10y=9
B. 6x=9
C. -10y = 15
D. 2x= 15

Answers

Answer:

6x = 9

Step-by-step explanation:

4x-5y  = 12

2x+5y  = -3

Add the equations together

4x-5y  = 12

2x+5y  = -3

-------------------

6x + 0y = 9

6x = 9

Answer:

B. 6x = 9

Step-by-step explanation:

4x - 5y = 12

+ 2x + 5y = -3

____________

6x + 0 = 9

Hence, option B. 6x = 9 is the correct answer.

Cancel tickets for his church is carnival for a total of 2820 children’s tickets cost three dollars each an adult tickets cost five dollars each the number of children so is 30 more than three times the number of adult tickets sold how many children tickets and how many adult tickets did he sell

Answers

Taking into account the definition of a system of linear equations, the number of adult tickets sold is 615 and the number of children's tickets sold is 195.

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

Amount of children tickets and adult tickets sold

In this case, a system of linear equations must be proposed taking into account that

"x" is the amount of children tickets sold."y" is the amount of adult tickets sold.

Galen sold tickets of his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. The number of children’s tickets sold was 30 more than 3 times the number of adult tickets sold.

So, the system of equations to be solved is

[tex]\left \{ {{3x+5y=2820} \atop {x=3y+30}} \right.[/tex]

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first you get:

3×(3y+30)+5y=2820

Solving:

3×3y+3×30+5y=2820

9y+90+5y=2820

9y+5y=2820 - 90

14y= 2730

y= 2730÷ 14

y= 195

Remembering that x=3y +30, then:

x= 3×195 + 30

Solving

x=585 +30

x=615

Finally, the number of adult tickets sold is 615 and the number of children's tickets sold is 195.

Learn more about system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/20533585

brainly.com/question/20379472

#SPJ1

The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit. The price elasticity of demand for this product is approximately

Answers

The price elasticity of demand for this product is approximately will be 1.

What is the price elasticity?

The price elasticity is given as

[tex]\rm PE = \dfrac{\dfrac{Q_f-Q_i}{Q_f+Q_i}}{\dfrac{P_f-P_i}{P_f+P_i}}\\\\\\[/tex]

The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit.

The price elasticity of demand for this product is approximately will be

[tex]\rm PE = \dfrac{\dfrac{1500-1000}{1500+100}}{\dfrac{1.5-1}{1.5+1}}\\[/tex]

On further solving, we have

PE = (500 / 2500) x (2.5 / 0.5)

PE = 1

The price elasticity of demand for this product is approximately will be 1.

More about the price elasticity link is given below.

https://brainly.com/question/13565779

#SPJ1

Complete this shape so that it is symmetrical about the reflection line

Answers

A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. The shape can be completed as shown below.

What is symmetry?

A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. It signifies that one side is a mirror image of the other. The line of symmetry is the imaginary line or axis along which you can fold a figure to produce the symmetrical halves.

The shape can be completed as shown below, so that the complete shape is symmetrical about the given axis.

Learn more about Symmetry:

https://brainly.com/question/15970176

#SPJ1

3. The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.



(a) During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
(c) When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.

Answers

Answer:

a

Step-by-step explanation:

The Function h is defined by the following rule.

h(x) = 2x-2

Complete the function table.

Answers

Answer:

[tex]\fbox {See below} \downarrow[/tex]

Step-by-step explanation:

[tex]\textsf {The function is :}[/tex]

[tex]\boxed {h(x) = 2x - 2}[/tex]

[tex]\textsf {Finding the missing values :}[/tex]

[tex]\mathsf {h(-4) = 2(-4) - 2 = -10}[/tex][tex]\mathsf {h(-2) = 2(-2) - 2 = -6}[/tex][tex]\mathsf {h(1) = 2(1) - 2 = 0}[/tex][tex]\mathsf {h(4) = 2(4) - 2 = 6}[/tex][tex]\mathsf {h(5) = 2(5) - 2 = 8}[/tex]

[tex]\textsf {The table :}[/tex]

[tex]\left[\begin{array}{ccc}x&f(x)\\-4&-10\\-2&-6\\1&0\\4&6\\5&8\end{array}\right][/tex]

Use the Change of Base Formula to solve each equation.
3x = 27.3

Answers

Answer:

9.1

Step-by-step explanation:

3(9.1)=27.3

27.3÷3=×

×=9.1

A hibernating animal lost 4 pounds. Write a signed number to represent this weight change

Answers

Answer: -4 pounds

Step-by-step explanation:

       The hibernating animal lost 4 pounds. This means we are 4 below wherever the animal's weight was in the beginning. This can be represented with a negative number;

          -4 pounds

A tree is making a shadow 22 feet long. The angle of elevation from the tip of
the shadow to the top of the tree is 50°.
feet. Round your answer to the nearest
The height of the tree is about
foot.

Answers

Answer:

26.2 feet

Step-by-step explanation:

tan(50°) = h/22

h = 22 × tan(50°) = 26.2 feet

Solve the following system of equations. -7x+5y=-11; -4x+3y= -7

Answers

Answer:

X = (-2) Y = (-5)

- 7x + 5y= (-11) -------(1)

-4x + 3y,= (-7) ----------(2)

Solving by using elimination method

Multiplying eq 1 with 3 and eq 2 with 5

3( -7x + 5y) = 3(-11)

5(- 4x + 3y) = 5(-7)

-21x + 15y = (-33)

-20x + 15y,= (-35)

Subtracting both the eq.

-x = 2

x = (-2)

Putting this value in eq. 1

- 7x + 5y= (-11)

-7(-2)+ 5y= (-11)

14 + 5y = (-11)

5y = (-11) - 14

5y= (-25)

y = (-5)

Decimal expansion of 2 1/6

Answers

The decimal expansion of 2 1/6 is 2.167

How to determine the decimal expansion?

The expression is given as:

2 1/6

Rewrite the expression as:

2 + 1/6

Express 1/6 as decimal

2 + 0.167

Evaluate the sum

2.167

Hence, the decimal expansion of 2 1/6 is 2.167

Read more about decimal at:

https://brainly.com/question/1827193

#SPJ1

Help please

charles has $2.90 in coins. if he only has dimes and quarters and a total of 17 coins, how many quarts does he have?

Answers

Answer:

8

Step-by-step explanation:

8*25=2.00

2.00+.90=2.90

pls help me solve for x in this equation! + brainest

Answers

Answer:

x = -3

Explanation:

[tex]\rightarrow \sf \sqrt[3]{\sf 3x + 1} = -2[/tex]

[tex]\rightarrow \sf \sf 3x + 1 = (-2)^3[/tex]

[tex]\rightarrow \sf \sf 3x + 1 = -8[/tex]

[tex]\rightarrow \sf \sf 3x = -8-1[/tex]

[tex]\rightarrow \sf \sf 3x = -9[/tex]

[tex]\rightarrow \sf \sf x = -3[/tex]

Answer:

[tex]\sqrt[3]{3x+1} =-2\\(\sqrt[3]{3x+1})^{3} =(-2)^{3} \\3x+1=-8\\3x=-9\\x=-3[/tex]

Hope it helps!

(4₊√₋81)₋(9₊√₋9) i cant resolve this equation. thanks for help

Answers

The question can't be solved because we can't have negative sign under square root

Answer:

 -5 +6i

Step-by-step explanation:

Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.

__

simplify radicals

We know that √(-1) ≜ i. This means the radicals can be simplified to ...

  [tex]\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i[/tex]

So the expression becomes ...

  (4 +9i) -(9 +3i)

combine terms

Like terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.

  (4 +9i) -(9 +3i) = 4 +9i -9 -3i

  = (4 -9) +(9 -3)i

  = -5 +6i

What is the value of x in the equation 1/5x - 2/3y=30 when y= 15

Answers

Substituting in y=15,

[tex]\frac{1}{5}x-\frac{2}[3}(15)=30\\\\\frac{1}{5}x-10=30\\\\\frac{1}{5}x=40\\\\x=\boxed{200}[/tex]

Answer: x = 200

Step-by-Step Solution:

=> 1/5x - 2/3y = 30 ; when y = 15

Substitute the value of ‘y’ :-

1/5x - 2/3y = 30
x/5 - 2(15)/3 = 30
x/5 - 30/3 = 30
x/5 - 10 = 30
x/5 - 50/5 = 30
x - 50 = 30 * 5
x - 50 = 150
x = 150 + 50
=> x = 200

Therefore, x = 200

What is the value of 6¹?
6° = 1
6 = 6
6 = 36
6 = 216

Answers

Answer:

6=6

Step-by-step explanation:

This is because the exponent is multiplying it by one so technically you don't have to do anything but multiply 6*1

Hope this helps

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Fun fact: ANY number powered to the}\\\huge\textbf{1 it automatically that number(just }\\\huge\textbf{regular multiplication).}[/tex]

[tex]\mathsf{6^1}\\\\\\\mathsf{\approx 6\times1}\\\\\\\large\text{So, you're making it 6 ONE TIME}\\\\\mathsf{= \bf 6}\\\\\\\\\\\\\huge\text{Thus, your answer should be: \boxed{\mathsf{Option\ B.\ 6^1 = 6}}}\huge\checkmark[/tex]

[tex]\large\text{Random\ note\ for\ rest\ of\ equations:}\\\\\mathsf{6^0\rightarrow \bf 1}\\\\\mathsf{6^2\rightarrow 6\times 6 \rightarrow \bf 36}\\\\\mathsf{6^3\rightarrow 6\times6\times6\rightarrow 36\times6\rightarrow \bf 216}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The diameter of a bicycle wheel is 63 cm. How much distance will it cover in 20revolutions?

Answers

Answer:

1256 cm

Step-by-step explanation:

First we must find the perimeter, because the perimeter is equal to 1 revolution.

The perimeter of any circle is Pi(Diameter)

3.14*20

62.8 cm is the perimeter of the bike wheel.

Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:

1256 cm

0000
O
1. Simplify 3 + 2 - 1
+6
2-5
03 A
О 25

Answers

Answer:

10

Step-by-step explanation:

3+2-1+6=5-1+6=4+6=10

Other Questions
what countries had claims in the ohio valley? A rectangular floor of area 21.6 m2 is going to be tiled. Each tile is rectangular, and has an area of 288 cm2. An exact number of tiles can be put into the space. How many tiles will be needed? Which of the following would be considered a sound device? Select all that apply.rhyme schemerepetitiona similealliteration Exercise 6 Write a formal letter of request to your Class Teacher, requesting him/her to appoint you as the Monitor of your class. Give convincing reasons. [Approved by Curriculum Development Centre (CDC)) Colloquy English Reader, 57 Exercise 6 Write a formal letter of request to your Class Teacher , requesting him / her to appoint you as the Monitor of your class . Give convincing reasons . [ Approved by Curriculum Development Centre ( CDC ) ) Colloquy English Reader , 57 Technicians are testing the security of an authentication system that uses passwords. When a technician examines the password tables, the technician discovers the passwords are stored as hash values. However, after comparing a simple password hash, the technician then discovers that the values are different from those on other systems. What are two causes of this situation nWhat is an isotope? Find the highest common factor of 12 and 40 find the ratio of 4 days to 2 weeks When the body is attacked by a foreign substance, the _____ defenses are the first to react.specificnonspecificB lymphocyteT lymphocyte Hunting has begun in urban areas by coyotes because their habitats are disappearing.Choose the option that makes it active voice O Disappearing habitats are making hunting happen in urban areas by coyotes.Because their habitats are disappearing, hunting has begun in urban areas by coyotes.O Hunting by coyotes has begun in urban areas because their habitats are disappearing.O Coyotes have begun hunting in urban areas because their habitats are disappearing. Write the equation of the line with a slope of 3/4 and a y'-intercept of -7 in Slope-Intercept and Poin Slope Form. Red bone marrow only differs from yellow bone marrow because of a difference in the amount of which substance? ABCD is a parallelogram. Find the measure of angle C.ABC (3x+6)D (2x+9)Find out the measure for angle C Describe an artificial intelligence device that does not yet exist but should that depends on some form of cognition. For each of the following research questions, determine whether an observational study, anexperiment, or neither should be used to answer the question. Note - each term on the right may beused more than once or not at all. Which of the following best describes how Japan changed from an isolationist society to a world power?Japans many treaties meant that Western countries helped it fight wars.Japans powerful military developed even while the country remained isolationist.Japans samurai became formidable warriors who could not be defeated.Japans industrialization enabled it to build modern warships and weaponry. apa template about multiple sclerosis Bianca is helping the theatre director at her school with lighting, sound, and set design for a school play. She will be choosing the materials that will be used on stage and on the walls of the theatre. After she reads the script and makes observations inside the theatre, she makes the following list of the factors to consider in her design.The echoes throughout the theatre need to be reduced.The set should not reflect too much light into the audiences eyes.The only lights available are white, purple, and yellow. The filters available are red and blue.The blue sky on the set should appear black for Act 2.Bianca draws a detailed illustration of her plan to show the theatre director. She labels it with the materials she plans to use.Design Solutions: Based on Biancas criteria and model, which materials would you change on stage? Explain your reasoning Suppose you flip two coins. What is the probability of getting at most one heads? give your answer as a reduced fraction. I WILL GIVE BRIANLIEST FOR FASTEST AND CORRECT ANSER