Given f(n) = 7n - 5
Evaluate f(-2)

Answers

Answer 1
The answer will be 7(-2) - 5 = -14 - 5 = -19

So f(-2) = -19 :)
Answer 2

Answer:

[tex]{ \tt{f(n) = 7n - 5}} \\ { \tt{f( - 2) = 7( - 2) - 5}} \\ { \tt{f( - 2) = - 14 - 5}} \\ { \tt{f( - 2) = - 19}}[/tex]


Related Questions

How do i write the value of this underlined digit 2.439 and 1.987 and 6.175 0.618

Answers

The value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

As given in the question,

Given number = 2.439 , 1.987 ,  6.175 , and 0.618

Value of underlined digit :

2.439 = Tenth or 4 / 10

1.987 = Thousandth or 7/1000

6.175 = Ones or 6

0.618 = Hundredth or 1/100

Therefore, the value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

The complete question is :

How do i write the value of this underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 ?

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solve for the area and perimeter of the swan show all work and include equations?

Answers

Answer:

Step-by-step explanation:

where is the swan?

Find the midpoint of the given line segment with the given endpoints
(-3, 8) and (2, -4)

Answers

Answer:i have same question

Step-by-step explanation:

What is the slope of the line that passes through the points(−4,2) and (−5,0)?

Answers

Step-by-step explanation:

the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.

the direction does not matter, but it is essential that once a direction is picked for one coordinate, we use the same one then also for the other.

I prefer to go from left to right, so (-5, 0) to (-4, 2) :

x changes by +1 (from -5 to -4).

y changes by +2 (from 0 to 2).

so, the slope is +2/+1 = 2/1 = 2.

10. A Cube-root function with a reflection across the y-axis; a vertex of (4,0).

Answers

We need to know about cube-root function and reflection to solve this problem. The function is f(x)=[tex]-\sqrt[3]{x-4}[/tex]

A cube-root function is the inverse of a cubic function, a cubic function can be given by f(x)=[tex]x^{3}[/tex], the inverse of this is a cube-root function which can be given by f(x)=[tex]\sqrt[3]{x}[/tex] with vertex at (0,0). The general formula for a cube root function is given be

f(x)=a[tex]\sqrt[3]{x-h} +k[/tex] where a is the measure of how horizontally compressed the graph is and (h,k) is the vertex of the graph. In the question we have to find a cube root function which has been reflected about the y-axis, which means our a will be negative. The vertex of the graph is at (4,0) so (h,k) is (4,0). Thus the cube root function we need is

f(x)=-[tex]\sqrt[3]{x-4}[/tex]

Therefore we found the cube root function that has been reflected about y-axis and the vertex at (4,0) to be  f(x)=[tex]-\sqrt[3]{x-4}[/tex]

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HELP WITH EXPLANATION!!
Show that the function f(x) = x³ + 5/x. is even, odd, or neither.

Answers

Answer:

The function is odd.

Step-by-step explanation:

A function is always odd when f(−x) = −f(x). In this case, that rule applies.

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

1. Find the area of the triangle below.
5.6 m
9.9 m
4.4 m
7.8 m
A. 17.16 m²
B.
19.42 m²
C.
21.78 m²
D.
24.52 m²

Answers

Answer:

21.78 m^2

Step-by-step explanation:

9.9 x 4.4 / 2 = 21.78 m^2

PLEASEE HELP!! I WILL MARK BRAINLIEST!


Write the expression as a number in scientific notation. quantity 5 times 10 squared end quantity times quantity 4.2 times 10 to the fourth power end quantity all divided by quantity 6 times 10 cubed 3.5 x 103 3.5 x 105 3.2 x 103 3.2 x 105

Answers

The expression in scientific notation is given as follows:

3.5 x 10³.

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

For this problem, the expression is given by:

[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}[/tex]

When two factors of a multiplication have the same base and different exponent, we keep the base and add the exponents, hence:

[tex]10^2 \times 10^4 = 10^6[/tex]

5 x 4.2 = 21, hence the expression is:

[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}[/tex]

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

[tex]\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3[/tex]

Which is the simplified expression.

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How will this looks like

Answers

Answer:

Step-by-step explanation:

Are 12,16,20 pythagorean triplets. Explain why.

Answers

Answer:Yes,these are pythagorean triplets because you can divide all three by the same number which is 4.

Step-by-step explanation:12 divided by 4 is 3. 16 divided by 4 is 4. And 20 divided by 4 is 5.

Answer:

Yes

Step-by-step explanation:

They all have a scale factor of 4 and 3,4,5 are also Pythagorean triplets

Naomi is working two summer jobs, making $12 per hour babysitting and
making $20 per hour lifeguarding. In a given week, she can work no more
than 12 total hours and must earn a minimum of $160. If a represents the
number of hours babysitting and y represents the number of hours
lifeguarding, write and solve a system of inequalities graphically and
determine one possible solution.
Inequality 1: y ≥
Inequality 2: y >

Answers

The system of inequalities is y ≤ 12 - x and y ≥ 8 - (3/5)x and the point (2 , 8) satisfies both inequalities.

A mathematical statement known as an inequality contrasts two algebraic expressions using the greater-than (>), less-than (<), and other inequality symbols. A compound inequality is a pair of inequality related by and or or or. The properties of inequalities will be used in this course to solve linear and compound inequalities in one variable. Absolute-value equations and inequalities continue to be studied.

While there are many similarities between solving equations and solving inequalities, we must also take the direction of the inequality into consideration.

Now let us form the two inequalities:

If x is the number of hours she worked babysitting and y is the number of hours she spent lifeguarding then

x + y ≤ 12

or, y ≤ 12 - x

Now if she makes 12 dollars babysitting and 20 dollars lifeguarding then

12 x + 20 y ≥ 160

or , 20y ≥ 160 - 12x

or , y ≥ 8 - 3/5x

Let us solve the inequalities graphically.

From the graph we can see that

the point (2 , 8) satisfies both inequalities.

So if Naomi works 2 hours babysitting and 8 hours lifeguarding she can satisfy both conditions.

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PLss answer
Given f(x) = 2x − 3 and g(x) = f(3x), which table represents g(x)?

Answers

The table which represents the function g(x) is: answer option A.

x                g(x)

1                  -3

2                  3

3                  9

What is a function?

In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values and output values of a data set, as well as showing how the elements in a table are paired (mapped).

When x = 1, the function f(x) is given by:

f(x) = 2x − 3

f(1) = 2(1) − 3

f(1) = 2 - 3

f(1) = -1.

Therefore, the function g(x) = f(3x) = 3 × -1 = -3.

When x = 2, the function f(x) is given by:

f(x) = 2x − 3

f(2) = 2(2) − 3

f(2) = 4 - 3

f(2) = 1.

Therefore, the function g(x) = f(3x) = 3 × 1 = 3.

When x = 3, the function f(x) is given by:

f(x) = 2x − 3

f(3) = 2(3) − 3

f(3) = 6 - 3

f(3) = 3.

Therefore, the function g(x) = f(3x) = 3 × 3 = 9.

In conclusion, the table which represents the function g(x) is as follows:

x                g(x)

1                  -3

2                  3

3                  9

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Answer: A

Step-by-step explanation:

rxl ontop

i need help with this please

Answers

Answer:212

Step-by-step explanation: 36 plus 36 40 plus 40 29 plus 29 19 plus ten then add the sums then u get 212

1.4x 10 to the 3rd power

Answers

Answer:

1400x

Step-by-step explanation:

10^3 in scientific notation means to move the decimal 3 places to the right.

Please helppppp me !,!!!!

Answers

Answer:

The last option

y = ⅓x-3

Step-by-step explanation:

Slope-intercept form :

y=mx+c

[tex]x - 3y = 9 \\ - 3y = - x + 9 \\ \frac{ - 3y}{ - 3} = \frac{ - x}{ - 3} + \frac{9}{ - 3} [/tex]

[tex]y = \frac{1}{3} x - 3[/tex]

Three friends go to a store to rent games and movies.
Calvin rents 3 movies and 2 video games and spends a
total of $25. Samantha rents 2 movies and 1 video game
and spends a total of $14.75.

Answers

Answer:

Let x = the cost of a movie

Let y = the cost of a game

Using these variables, we can set up equations.

3x + 5y = 42 eq1

9x + 7y = 72 eq2

We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1

9x + 7y = 72 eq2

Subtract eq2 from eq1 to eliminate the x terms.

8y = 54

y = 6.75

This rental cost of one video game is $6.7

Substitute the value of y into eq1 to solve for x. This will give you the rental cost of one movie.

Step-by-step explanation:

pa brainly po

The cost of movie is $4.5 and cost of video game is $5.75.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the cost of movie and y be the cost of video game

Calvin rents 3 movies and 2 video games and spends a total of $25.

3x+2y=25...(1)

Samantha rents 2 movies and 1 video game and spends a total of $14.75.

2x+y=14.75

y=14.75-2x..(2)

Substitute (2) in equation (1)

3x+2(14.75-2x)=25

3x+29.5 -4x=25

-x+29.5 = 25

Subtract 29.5 from both sides

-x=25-29.5

x=4.5

Now let us plug in x value in equation (2)

y=14.75-2(4.5)

y=5.75

Hence, the cost of movie is $4.5 and cost of video game is $5.75.

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Graph the inequality 1

Answers

The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.

Graph of Inequalities

From the question, we are to graph the given inequality

The given inequality is

1 < y + 7x ≤ 12

First, we will separate the inequality

1 < y + 7x and y + 7x ≤ 12

1 < y + 7x

We will determine two points on the line

1 = y + 7x

When x = 0

1 = y + 7(0)

1 = y

y = 1

(0, 1)

When y = 8

1 = y + 7x

1 = 8 + 7x

1 -8 = 7x

-7 = 7x

x = -7/7

x = -1

(-1, 8)

We can use these two points to plot the line of 1 < y + 7x

Also,

We will determine two points on line y + 7x ≤ 12

y + 7x = 12

When x = 0

y + 7(0) = 12

y + 0 = 12

y = 12

(0, 12)

When y = 5

5 + 7x = 12

7x = 12 - 5

7x = 7

x = 7/7

x = 1

(1, 5)

We can use these two points to plot the line of y + 7x ≤ 12

The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.

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100 POINTS!! Can someone please help me determine what im doing wrong on 1 and 2..

Answers

Answer: 1) m=12/7   2) y=(12/7)x

Step-by-step explanation:

C(0,0)   D(7,12)

[tex]\displaystyle\\1)\ Slope=m=\frac{rise}{run} =\frac{y_D-y_C}{x_D-x_C} \\\\m=\frac{12-0}{7-0} \\\\m=\frac{12}{7}[/tex]

[tex]\displaystyle\\2)\ y=mx+b\ \ \ \ m=\frac{12}{7} \ \ \ \ C(0,0)\\0=\frac{12}{7} *0+b\\\\0=0+b\\\\0=b\\\\Hence,\\\\y=\frac{12}{7} x+0\\\\y=\frac{12}{7}x[/tex]

Are 5y and 5x like terms?

Answers

Answer:

No. They include 2 different elements that are unrelated, being x and y, making them unlike terms.

Answer:no

Step-by-step explanation:in order for them to be like terms they would have to have the same variables

M/n=y/x for m what is the answer

Answers

Answer:

M = n(y/x)

Step-by-step explanation:

M/n = y/x

Multiply both sides by N to cancel it out.

M = n(y/x)

What’s the answer pls I need help

Answers

Answer:

C= [tex]\frac{AD}{B}[/tex]

Step-by-step explanation:

the answer is c because I said it c and the way you get the answer is by dividing the equality of the fraction

help pls! example is not needed

Answers

the difference is 401 feet

Answer: 401

Step-by-step explanation:

-177 + 578 = 401

Three blocks are shown:
Block A
7 cm
3 kg
1 cm
3 cm
Which statement is correct?
Block B
7 cm
4 kg
111 cm
3 cm
Block C
1 cm
2 kg
7 cm
3 cm

Answers

Answer:the answer is 4 kg

Step-by-step explanation:

i can¡ explane u i see the rpta

The sum of three consecutive even integers is 72 let ex represent the first integer X plus to represent the second integer and X +4 represent the third furniture which equation can be used to find the first energy

Answers

Answer:

see explanation

Step-by-step explanation:

the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is

x + x + 2 + x + 4 = 72 , that is

3x + 6 = 72 ( subtract 6 from both sides )

3x = 66 ( divide both sides by 3 )

x = 22

x + 2 = 22 + 2 = 24

x + 4 = 22 + 4 = 26

the 3 consecutive even integers are 22, 24 , 26

Round 7.487 to the nearest hundredth.

Answers

Answer: 7.49

Step-by-step explanation:

7 is above 5, so we round up from .48 to .49.

7.500 87 is close to 500 then 400
So the nearest hundred is 7.500

please help! will give brainliest

Answers

1. A. 2/3 of the volume of the rectangular prism crate = 5.7 ft³

B. Amount of space the dog will occupy is: 2.55 ft³. Josiah should buy the medium crate.

2. 21.05 ft²

What is the Volume of a Rectangular Prism?

The volume of a rectangular prism = (length)(width)(height).

1. Part A:

Length of the rectangular prism crate = 2.5 ft

Width = 1.7 ft

Height = 2 ft

Volume of the rectangular prism crate = (2.5)(1.7)(2)

Volume of the rectangular prism crate = 8.5 ft³

2/3 of the volume of the rectangular prism crate = 2/3(8.5) = 5.7 ft³

Part B:

Amount of space the dog will occupy = volume = (length)(width)(height).

Length = 2 ft

Height = 1 2/3 = 1.7 ft

Width = 3/4 = 0.75 ft

Amount of space the dog will occupy = volume = (2)(0.75)(1.7)

Amount of space the dog will occupy = volume = 2.55 ft³

The space the dog will occupy is less than 2/3 of the space of the crate, therefore, Josiah should buy the medium crate.

2. Amount of fabric needed to cover the crate = surface area of rectangular prism - (lw) = 2·(1.7·2.5+2·2.5+2·1.7) - (2.5)(1.7)

= 25.3 - 4.25

= 21.05 ft²

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Durante un entrenamiento, un ciclista da una vuelta a una pista circular en 105 segundos, mientras que otro tarda 60 segundos. Si ambos inician sus recorridos juntos, ¿en cuántos segundos será la próxima vez que coincidan en el punto de inicio?

Answers

Los ciclistas se encuentran aproximadamente 140 segundos después de partir.

¿En cuanto tiempo se encuentran dos ciclistas que se mueve a distintas rapideces constantes por primera vez?

En este problema asumimos que cada ciclista se mueve a rapidez constante, de modo que la rapidez angular de cada uno se define como sigue:

ω = 2π / T         (1)

Donde:

ω - Rapidez angular, en radianes por segundo.T - Período, en segundos.

A su vez, la posición de cada ciclista es descrita por las siguientes dos ecuaciones paramétricas:

x / R = cos ωt   (2)

y / R = sin ωt    (3)

Donde:

x, y - Coordenadas del ciclista.R - Radio de la pista circular.

Primero, determinar la rapidez angular de cada ciclista:

ω₁ = 2π / 105 s

ω₁ ≈ 0.060 rad / s

ω₂ = 2π / 60 s

ω₂ ≈ 0.105 rad / s

Segundo, procedemos a graficar cada función paramétrica y determinamos el primer punto de intersección. Los resultados se encuentran en las imágenes adjuntas. Nótese que las curvas verde y púrpura se basan en la ecuación (2), mientras las curvas azul y rojo lo son de la ecuación (3).

Los dos ciclistas se encuentran por primera vez si las cuatro ecuaciones tienen el mismo valor t. En consecuencia, los ciclistas se encuentran aproximadamente 140 segundos después de partir.

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simplify so that your answer contains only positive exponents

Answers

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

First Question:

  [tex]\text{Copy the equation}\\\hookrightarrow \frac{xy^4}{x^3y^2} \\\\\text{Exponents with common bases when dividing from each other}\\\hookrightarrow \text{the power of the denominator can be subtracted from the power of the numerator}\\ \text{ --- } \dfrac{xy^4}{x^3y^2} =\dfrac{x}{x^3}*\dfrac{y^4}{y^2}=x^{1-3}*y^{4-2}=x^{-2}*y^{2} =\dfrac{y^2}{x^2}[/tex]

Second Question:

[tex]\hookrightarrow\text{simply start from the most inner calculation before going out}[/tex]

  [tex]\text{---}-(-x)^3= -1 *(-1 * x)^3=-1*(-1)^3*x^3=-1*-1*x^3=x^3[/tex]

Answer:

y² / x²

Hope that helps!

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Answers

Suspend kaisk Jussie s
Hey, how’s it going

a G.P has 6 terms .if the 3rd term and the 4th terms are 28 and -56 respectively.find the common ratio,the first term ,and the sum of the G.P​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]u_2=u_1*r\\u_3=u_1*r^2\\u_4=u_1*r^3\\\\\dfrac{u_4}{u_3} =r=\dfrac{-56}{28} =\boxed{-2}\\\\u_1=\dfrac{u_3}{r^2} =\dfrac{28}{(-2)^2} =\dfrac{28}{4}=\boxed {7}\\\\\\\displaystyle\ s=\sum_{i=1}^6\ u_i\\\\=u_1*\sum_{i=1}^6\ r^{i-1}\\\\=7*\dfrac{(-2)^6-1}{-2-1} \\\\=-7*\dfrac{65}{3} \\\\\\\boxed{s=-\dfrac{455}{3} }\\[/tex]

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