f(x) = 3x - 3, find f (-4)

Answers

Answer 1

Answer:here x=-4

Step-by-step explanation:

3(-4)-3=-15


Related Questions

The number of hours it takes for ice to melt varies inversely with the air temperature. A block of ice melts in 2.5 hours whenthe temperature is 54 degrees.How long would it take for the same block of ice to melt if the temperature was 45 degrees?

Answers

Let t be the time in hours it takes a block of ice to melt at T degrees.

Since both variables have an inverse relation, we can say that:

[tex]t=\alpha\cdot\frac{1}{T}[/tex]

Where alpha is a constant value.

Since we know that a block of ice melts in 2.5 hours when the temperature is 54 degrees, we can plug in such data and find alpha as following:

[tex]\begin{gathered} 2.5=\alpha\cdot\frac{1}{54}\rightarrow2.5\cdot54=\alpha \\ \Rightarrow\alpha=135 \end{gathered}[/tex]

Therefore, our expression would be:

[tex]t=\frac{135}{T}[/tex]

For T = 45,

[tex]\begin{gathered} t=\frac{135}{45} \\ \\ \Rightarrow t=3 \end{gathered}[/tex]

We can conclude that it would take 3 hours for the block of ice to melt.

HELP ASAP HELP ASAP PLEASEEEEE

Answers

The distance between the parallel lines measured in the y direction is 3 units.

How to find the distance between the two given lines

given data

y = - 3x + 4

y = - 3x + 1

let line 1 be y = - 3x + 4 and line two be y = -3x + 1

Analyzing the two lines show that the slope is equal hence parallel

slope = -3

The y intercept of the line or just the intercept is what varied

line 1 = 4line 2 = 1

The difference between these two pints represents the distance between them measured in the y direction.

The difference is solved as

4 - 1 = 3 units

The distance is 3 units

Read more on straight lines here: https://brainly.com/question/25969846

#SPJ1

Solve for x
12x-6 need answer please

Answers

Answer:

-72

Step-by-step explanation:

Answer:

Step-by-step explanation:

12x-6 = 90 because opposite angles are equal if intercepted in parallel lines

12x=96

x= 8

I need questions 10 , 13 , 15 , and 16 solved with steps and graph

Answers

10. |x - 4| - 4 = 1/2x

⇒ Multiplying by 2,

2 |x - 4| - 8 = x

So, x - 4 = (x + 8)/2

             = -(x + 8)/2

When,

x - 4 = (x + 8)/2

2x - 8 = x + 8 (Multiplying by 2)

2x - x = 8 + 8 (Adding 8 and subtracting x to both sides)

x = 16

When,

x - 4 = - (x + 8)/2

2x - 8 = -x - 8 (Multiplying by 2)

2x + x = -8 + 8 (Adding 8 and x to both sides)

3x = 0

x = 0

Hence, the solution is x = 16 and x = 0.

13. (3/4)x = 2x - 10

⇒ Subtract 2x from both sides.

-5x/4 = -10

Multiply both sides by 4/(-5).

(-5x/4)×4/(-5) = -10 × 4/(-5).

x = 8 is the solution of the equation.

15. x² - 7x - 8 > 0

⇒ Solve the quadratic equation by splitting the middle term,

x² - 8x + x - 8 > 0

x(x - 8) + 1(x -8) > 0

(x + 1)(x- 8) > 0

-1 and 8 are the critical points of the inequality.

x < -1 and x > 8 are the solutions of the inequality which are represented by the shaded red region in the graph.

16. x - 5 > - 2x + 4

⇒ Adding 2x to both sides.

3x - 5 > 4

Adding 5 to both sides.

3x > 9

Divide both sides by 3.

x > 3 is the required solution represented by blue shade region in the graph.

To learn more about inequalities visit:

https://brainly.com/question/14875221

#SPJ13

I just need to know how to work it out for future problems. (Business Calc)
Find the price elasticity of the demand function as a function of p.
1. q=D(p)=600-3p
A)E(p)= p/p-200
B)E(p)= p/600-3p
C)E(p)= p/200-p
D)E(p)= p(200-p)

Answers

The price elasticity of the demand function as a function of p is C. E(p)= p/200-p

How to illustrate the information?

It should be noted that the price elasticity of demand simply means the ratio of the percentage change in quantity demanded to the percentage change in price.

In this case, the function is given as:

q = D(p) = 600-3p

Differentiate with respect to p

D'(p) = 3

The elasticity of demand will be:

= (P / 600 - 3p) × (-3)

= P / (200 - P)

In conclusion, the correct option is C.

Learn more about demand on:

brainly.com/question/1245771

#SPJ1

A person tosses a coin 14 times. In how many ways can he get 10 heads?

Answers

probability 50% for each side
14 times 14 =196 divided by 2 = 98
10 times 10 = 100 divided by 2 = 50
He can get 10 heads 50 different ways

(3ax - n) ÷ 5
Solve for X.

Answers

Answer:

x = 10/a; restrictions a ± 0

Answer:

[tex]x = \cfrac{n+5}{3a}[/tex]

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

Given expression

[tex](3ax - n) : 5 = 1[/tex]

Solve it for x in steps below:

[tex]3ax - n = 5[/tex][tex]3ax = n + 5[/tex][tex]x = \cfrac{n+5}{3a}[/tex]

5 tons of rocks cost $7,000.00. What is the price per pound ??

Answers

Answer: Per rock or pound?

Graph the following inequalities.4x + y ≥ 0I need TWO COORDINATES

Answers

We need to graph the following inequality:

[tex]4x+y\ge0[/tex]

First, let's apply the same operations on both sides of the inequality to isolate the variable y on the left side of the inequality. We obtain:

[tex]\begin{gathered} 4x+y-4x\ge0-4x \\ \\ y\ge-4x \end{gathered}[/tex]

Now, notice that:

[tex]y=-4x[/tex]

represents a line containing all points with coordinates (x,y) such that y=-4x.

The solution to the inequality includes those points, and also the points for which y is greater than -4x.

Thus, the solution to this inequality consists of all the points on that line (solid line) and the whole region above that line:

Notice that, to graph the solid line, we can choose two points on the line, and then join them. We can use the points:

[tex]\begin{gathered} x=0\Rightarrow y=0\text{ point }(0,0) \\ \\ x=1\Rightarrow y=-4\text{ point }(1,-4) \end{gathered}[/tex]

Can you please help me solve this questions. I want a clear explanation thank you.

Answers

Given:

[tex]\begin{gathered} \text{Mean}=\mu=21.4 \\ \text{Standard deviation=}\sigma=5.0 \\ \text{Smple size=n=66} \end{gathered}[/tex]

The z-score for 90 percent is 1.64.

To find the 90 percent confidence interval,

[tex]\begin{gathered} \mu+(\frac{\sigma}{\sqrt[]{n}}\times1.64)=21.4+(\frac{5}{\sqrt[]{66}}\times1.64) \\ =21.4+1.0094 \\ =22.4094\ldots\ldots(\text{ upper limit)} \\ \text{And} \\ \mu-(\frac{\sigma}{\sqrt[]{n}}\times1.64)=21.4-(\frac{5}{\sqrt[]{66}}\times1.64) \\ =21.4-1.0094 \\ =20.3906\ldots\ldots\ldots(\text{lower limit)} \end{gathered}[/tex]

Answer: The 90 % confidence interval is ( 20.3906 , 22.4094 )

What is the exact decimal equivalent of 7/12​

Answers

Answer:


0.58333333333

If you spend 1 hours a week studying for English and 3.5 hours studying for math what is the ratio of time spent studying in math to studying for English?

Answers

The ratio of time spent studying math to studying English is 7:2.

According to the question,

We have the following information:

One spends 1 hour a week to study English and 3.5 hours to study math.

Now, we know that the ratio can be simply understood as the division.

So, we will divide the number of hours devoted to math by the number of hours devoted to English.

Ratio of time spent studying math to studying English = 3.5/1

Ratio of time spent studying math to studying English = 35/10

(Now, we will convert this fraction into the simplest form by dividing both the numerator and denominator of the fraction by 5.)

Ratio of time spent studying math to studying English = 7/2

Ratio of time spent studying math to studying English = 7:2

Hence, the ratio of time spent studying math to studying English is 7:2.

To know more about ratio here

https://brainly.com/question/13419413

#SPJ1

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the difference. Write your answer in simplest form.

Answers

The mixed fraction 11 [tex]\frac{7}{16}[/tex] - 4[tex]\frac{7}{12}[/tex]  is equivalent to the fraction to 6 41/48

How to solve an equation?

An equation shows the relationship between two or more numbers and variables.The mixed fraction 11 7/16 is equivalent to the fraction (11 * 16 + 7)/16 = 183/16

The mixed fraction 4 7/12 is equivalent to the fraction (4 * 12 + 7)/12 = 55/12

Substituting:= 18 [tex]\frac{3}{16}[/tex] - 5 [tex]\frac{5}{12}[/tex]

Simplifying:= 329/48

= 6 41/48

11 [tex]\frac{7}{16}[/tex] - 4 [tex]\frac{7}{12}[/tex] is equal to 6 [tex]\frac{41}{48}[/tex]

Find out more on equation at:

https://brainly.com/question/2972832

#SPJ1

Find X.

Cirucumscribed angles

Answers

Answer:

x = 64

Step-by-step explanation:

to find x add make an equation to solve for x. the equation is 90+90+44+2x+8=360. after solving for x, x will equal 64.

Given sin 60degrees √ 3/2 find cos 60°

cos 60°

Answers

Step-by-step explanation:

if I understand you correctly, then you got

sin(60°) = sqrt(3/2)

and now we have to find cos(60°) based on that.

but : sin(60°) = sqrt(3/4) = sqrt(3)/2

I will continue with that.

one major observation with the trigonometric functions in a norm circle (radius = 1) is that sine and cosine are the legs of a right-angled triangle.

the radius at the angle is the Hypotenuse.

and so, Pythagoras applies

c² = a² + b²

c is the Hypotenuse, a and b are the legs.

so,

radius² = sin²(x) + cos²(x)

and because radius = 1

1² = 1 = sin²(x) + cos²(x)

in our case

1 = sin²(60) + cos²(60)

1 = (sqrt(3)/2)² + cos²(60) = 3/4 + cos²(60)

cos²(60) = 1 - 3/4 = 1/4

cos(60) = sqrt(1/4) = 1/2

How many times larger is 8.1 than 2.7

Answers

8.1 is 5.4 more times larger than 2.7

If f (x) = x


2 − 2 x , g (x) = x − 2


1) prove that : f(2) = g(2)

2) If g (K) = 7 , find : the value of k

Answers

1. The value of f(2) = 0 and g(2) = 0

2. The value of k is 9

What is a function?

A function can simply be described as a law, rule, theorem or expression that explains the relationship between two terms.

These terms are known as;

The dependent variableThe independent variable

Given the functions;

f(x) = x^2 - 2xg(x) = x - 21

To prove that f(2) = g(2)

Substitute the value of x as 2 in the functions, we have;

f(2) = 2^2 - 2(2)

expand the bracket

f(2) = 4 - 4

f(2) = 0

Then for g(2), we have;

g(2) = 2 - 2

g(2) = 0

Then, f(2) = g(2) = 0

If g(k) = 7

Then, we have;

k - 2 = 7

collect like terms to determine the value of k

k = 7 + 2

k = 9

Hence, the value is 9

Learn more about functions here:

https://brainly.com/question/25638609

#SPJ1

what is 84i?I'm learning about imaginary numbers but I need extra help

Answers

The imaginary number 'i" can be written in another form below:

[tex]i=\sqrt[]{-1}[/tex]

Whenever we have the root of a negative number, we use the imaginary number 'i' to write it in an easier form.

For example:

[tex]\begin{gathered} \sqrt[]{-4}=\sqrt[]{-1\times4} \\ =\sqrt[]{-1}\times\sqrt[]{4} \\ =2\times\sqrt[]{-1} \\ =2\times i \\ =2i \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} 84i=84\sqrt[]{-1} \\ =\sqrt[]{84^2\times-1} \\ =\sqrt[]{-7056} \end{gathered}[/tex]

Question 10The table below shows the amount of water that is in a bathtub that is being filled.Minutes1234Gallons ofWater12172227Which of the following functions could model the amount of gallons of water, f(x), that the bathtub will contain after x minutes of being filled?Аf(x) = 5x + 7Bf(x) = 5x + 12сf(x) = 7x + 5Df%) = 12x + 5No

Answers

[tex]\begin{gathered} x=\text{ number of minutes} \\ f(x)=\text{amount of gallons of water the bathtub will contain} \\ \text{The function that fit the table is } \\ f(x)=5x+7 \end{gathered}[/tex]

To rent a certain meeting room, a college charges a reservation fee of $46 and an additional fee of $6.70 per hour. The math club wants to spend less than$106.30 on renting the meeting room.What are the possible amounts of time for which they could rent the meeting room?Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answers

As given by the question

There are given that the college charges a reservation fee of $46.

Now,

According to the question, the inequality is:

[tex]46+6.70t<106.30[/tex]

Then,

To solve the above inequality, collect the constant terms on the right side

So,

[tex]\begin{gathered} 46+6.70t<106.30 \\ 6.70t<106.30-46 \\ 6.70t<60.3 \\ t<\frac{60.3}{6.70} \\ t<9 \end{gathered}[/tex]

Hence, the room could be rented for up to 9 hours less than the stated amount.

convert these measurements to centimeters : (a)73.1 cm and (b) 0,0012km​

Answers

Answer:

(a) 73.1 cm (b) 120 cm

Step-by-step explanation:

Step-by-step explanation:

Part (a)

73.1 cm                 [It remains the same as it is already given in cms]

Part (b)  

To convert 0.0012km to cm we multiply x 100000

=> 0.0012 x 100000

=> 120 cm

IXL Transversals of parallel lines: prove angle relationships 6QF for geometry, please help

Answers

4) [tex]m\angle XWY=m\angle HGY[/tex] (definition of congruent angles)

5) [tex]\angle HGY \cong \angle GTU[/tex] (corresponding angles theorem)

6) [tex]m\angle HGY=m\angle GTU[/tex] (definition of congruent angles)

7) [tex]\angle GTU[/tex] and [tex]\angle UTR[/tex] are supplementary (linear pair)

8) [tex]m\angle GTU+m\angle UTR=180^{\circ}[/tex] (definition of supplementary angles)

9) [tex]m\angle HGY+m\angle UTR=180^{\circ}[/tex] (substitution)

10) [tex]m\angle RTU+m\angle XWY=180^{\circ}[/tex] (substitution)

it says on top that the image is not drawn to scale.

Answers

D; Both statements are correct

Here, we want to check the correct statement

Basically from the diagram, it is confirmed that what we have is a 30-60-90 triangle

Now, for a 30-60-90 degrees triangle, the side lengths are in a particular ratio

From the diagram, MO faces the right angle and thus, it is the longest side and the hypotenuse

Now, let us take a look at the ratio of the sides in both submissions

For a 30-60-90 degrees triangle, the ratio of the sides is;

[tex]1\colon\sqrt[]{3}\text{ :2}[/tex]

Hence, one side must be twice the length of the other

From Kellie's statement we can see MO is twice NO

From Eddie's statement, we can also see that MO is twice NO

Lastly, we can also see in both that dividing MN by NO yields the root of 3 in both statemets which confirms the existence of the theoretical ratio

So the conclusion here is that;

Both students are correct

Help my hw is due by 12:00 am for final grade!!

Answers

Length has 5 cubes

width has 3 cubes

height has 7 cubes

Volume = length x width x height

5/2 * 3/2 * 7/2 = 105/8 = 13.125 ft^2

Premises:
If you have a cat, then it will chase mice.
You have a cat.
Conclusion:
Your cat will chase mice.
The Law of _____ makes this
argument true.

Answers

A premise or premiss is a true or false statement that helps form the body of an argument, By law of syllogism the statement is true. Your cat will chase mice.

What are premises?

A premise or premiss is a true or false statement that helps form the body of an argument, which logically leads to a true or false conclusion.

If the following two statements are true: (1) If p , then q . (2) If q , then r . Then we can derive a third true statement: (3) If p , then r .

If you have a cat, then it will chase mice.

is the given statement.

Let p is you have a cat

q is chase mice.

r is cat will chase mice.

iby the law of syllogism Your cat will chase mice. because  (1) If p , then q . (2) If q , then r . Then we can derive a third true statement: (3) If p , then r .

Hence by law of syllogism the statement "if you have a cat, then it will chase mice" is true.

To learn more on premises click:

https://brainly.com/question/28013017

#SPJ1

can you help me factor the expression x^2+4x-21

Answers

To factor this expression we need to find two numbers which sum is 4 and the product is -21.

Now, 21 has only 2 factors (besides 1 and 21), 7 and 3, se we need to write them in a way such that they sum 4, so

[tex]x^2+4x-21=(x+7)(x-3)[/tex]

we see that 7-3=4 and 7(-3)=-21, so the factorization is correct.

Rajan climbed to a height of 15 ft from the bottom of a climbing wall. He then climbed up an additional 10 ft.

What must he do to return to the bottom of the climbing wall?

In the first blank, say whether Rajan must climb up or down. In the second blank, state the number of feet Rajan must travel up or down.

Rajan must climb_____ft to return to the bottom of the climbing wall.

Answers

Rajan must climb down 25 ft to return to the bottom of the climbing wall

Height climbed from the bottom of the wall = 15ft

Height: The measurement of an object's height from the base to the top is known as height. It is sometimes referred to as altitude in geometry. The vertical distance between the lowest and highest point is measured. In coordinate geometry, it is often the measurement along the y-axis of an object.

Additional height climbed = 10ft

Total height climbed = 25ft

He should climb down the distance, as climbing up will further move him away from the bottom of the wall

Distance to climb down to the bottom of the wall = 25ft

Learn more about height:

https://brainly.com/question/21836055

#SPJ1

Helping my son with homework.. I have no clue what this is

Answers

Answer:

45 times

Step-by-step explanation:

it is 45 times because it can land on blue or green 5 out of 8 times so u do 72 divided by 8 and u get 9 so I do 9 times 5 and u get 45

Four of the twelve members of the panel were late for
the meeting. What fraction of the members were on
time?

Answers

Answer:

2/3

Step-by-step explanation:

If 4 were late, then 8 were on time.

8/12  Divide the top and bottom by 4

2/3

which number is the closest approximation to the value of 3/94?

Answers

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

[tex] \frac{3}{94} = 0.31 \\ \\ \frac{1}{3} = 0.33[/tex]

Other Questions
R is directly proportional to T. If R = 60 when T = 10, Calculate the value of R when T = 7 If m If the earths tilt on its axis were to increase by 20 degrees, at what latitude would you find the tropic of capricorn?. An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The results were as follows: 855 drankalcohol regularly, 657 smoked cigarettes, 192 used illegal drugs, 418 drank alcohol regularly and smoked cigarettes, 109 drank alcohol regularly and used illegal drugs,116 smoked cigarettes and used illegal drugs, 88 engaged in all three behaviors, and 251 engaged in none of these behaviors.Answer parts a, b, c, d, e, f, g for this question. The Quartering Act of 1765 required colonists to:A. house British troops in forts and feed them.B. pay taxes on almost all printed documents.C. be tried in British instead of colonial courts.D. move west of the Appalachian Mountains. 12.7787.47 what the answer show the short-run impact of a $2 per unit excise tax imposed on firms in a competitive industry. (assume the industry is in long-run equilibrium before the tax was imposed.) how would the long-run results differ? (explain briefly.) what is the impact on efficiency of the tax? There are 36 students in s2a some of them usually bring their own lunch and the other buy lunch.if 1/5 of the students who usually bring their own lunch buy their lunch today , the ratio of the number of students bringing their own lunch to number of students buying lunch becomes 1:2. how many students are there who usually bring thier own lunch ? tape da grams tothismake2GuswerQuestionOn Friday, there were 6 snowboarders for every 2 skiers at a local ski resort. OrSaturday, the ratio of the number of snowboarders to the number of skierswas 5:3. There were 144 snowboarders at the ski resort on Friday. There weresame number of people at the ski resort on Saturday as there were on FridayHow many more skiers were there than snowboarders at the ski resort onSaturday? 10. Because of the health risks associatedwith concussions, injuries, and CTE, manyparents are starting to forbid their childrenfrom participating in high-risk sports suchas football. What do you think of theseparents' decisions, given what you havejust read? Have your parents encouragedyou not to participate in such sports? Whatdecisions do you think you would make ifyour own children wanted to play footballone day? Why? How Many Positive Integer Pairs (x,y) satisfy 4x+12y=640 Convert 62.00nm/s to pm/ms find the number of subsets of 38,76,152,304 how should unearned rent that has already been paid by tenants for the next eight months of occupancy be reported in a landlords financial statements? current liability. long-term asset. long-term liability. current asset. Water boils at different temperatures at different elevations. The boiling temperature of water is 212F at sea level (0 feet) but drops about 1.72F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190F. tod has 20 books he donated 2/5 how many books did he donate? A box of chocolates contains five milk chocolates and five dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. What is the probability that both pieces are milk chocolate? Write an equation of function g(x) and describe the effects on the graph of the parent function f(x)=x^2. g(x)=f(x)+d where d=2 a chess board is made using the ratio of square length to king's height, 3.5 inches to 4.5 inches. if a chess board is made with a king's height of 2.25 inches, what is the length of the square? 4.05 inches 2 inches 1.8 inches 1.75 inches A company recorded an event that caused assets, liabilities and cash flow from financing activities to increase, but had no affect on net income. This event could have been due to ______.