Write the equation of the line that has a slope of 4/5 and a y-intercept of -8.

Answers

Answer 1

The equation of any staright line can be written as y = mx + c , where m is its slope and c is its y - intercept . hence, equation of line with slope = 4/5 and y - intercept = -8 is,

y = 4/5x - 8

m - c = 4/5 + 8 = 12/5

hope this answer helps you dear take care!


Related Questions

A contractor purchases 5 dozen pairs of padded work gloves for ​$70.80. she incorrectly calculates the unit price as $14.16 per pair for the expense report. What is the correct unit prise? What is the error?

Answers

Answer:

1 dozen = 12 units

7 dozen = 12 × 7 = 84 units

Correct unit price = 103.32 ÷ 84 = $1.23

The contractor's unit price incorrect because he did 103.32 ÷ 7 dozen.

The price he calculated is for the price for 1 dozen, not 1 unit

Step-by-step explanation:

The price of a pair of pants was reduced from $30 to $12. By what percentage was the price of the pair of pants reduced?

Answers

Answer:

Well to calculate percentage decrease

(Starting value- ending value / starting value)* 100

so 30-18=12

12/30= 2/5

2/5*100= 200/5

40 percent

Now thats the amount lost so

100%-40%=60%

60% reduction

7. The relation y = 7x + 35 represents the monthly cost y (in dollars) of a group of
x members joining the fitness club.
a. Identify the independent and dependent variables.
b. Your group has enough money for up to six members to join the fitness club.
Find the domain and range of the function.
c. Is the relation a function?

Answers

Answers and Step-by-step explanation:

a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.

b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.

c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).

    A domain can not have multiple ranges. A range can have multiple domains though.

The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.

What is an equation?

In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

y = 7x + 35, x members joining the fitness club and y is cost.

(a) As you can see from the equation, y depends on the value of x,

(b) Calculate the amount of x = 6 (as given)

y = 7 × 6 + 35

y = 42 + 35

y = $77

The domain of the function is 6 and the range is 77.

(c) Yes, as we put the values in x, y also changes, so it is a function.

To know more about equations:

https://brainly.com/question/12788590

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Triangle DEF is translated using the rule (x, y) → (x + 4, y - 5).
Use words to describe the distance and direction Triangle DEF is translated

Answers

Triangle DEF is translated 4 units up and 5 units left

Y is 4 less than the product of 3 x

Answers

Answer:

y=4-3x

Step-by-step explanation:

Hope this helps!!!

The mass of a standard hockey puck must be at least 156 grams. What is the minimum mass of 8 hockey pucks in kilograms?

Answers

you can solve this a few ways but i’ll give you the easiest.
156x8=1248

1gram=0.001 grams so you could basically take the last three numbers (248) and put them behind the decimal, with the 1 in front of the decimal.
now you have 1.248

hope it helps

vă rog am nevoie de ajutor la ex 6 dacă il faceți dau corana ex este de clasa a 6

Answers

Answer:

sry but i can't help you with it bcz i don't understand spanish can u write it in clear english

Sry

f(x) =
- 2x + 2, x < 3
-1, x > 3


Evaluate the function when x = 5.
f(5)
---
Evaluate the function when x = 3.
=
f(3) =

Answers

Answer:

f(5)=14

f(3)=122

Step-by-step explanation:

write the product using exponents -3/7×3/7×3/7

Answers

Answer:

[tex]-(\frac{3}{7})^3[/tex]

Step-by-step explanation:

Since we see that 3/7 is multiplied by itself three times, we can use exponents as a shorter way to write this. The expontent tells us how many times the base number, 3/7, is multiplied by itself.

[tex]-1 * (\frac{3}{7})^3[/tex]= [tex]-1 * \frac{3}{7} * \frac{3}{7} * \frac{3}{7}[/tex]

We then multiply by -1 to (3/7)^3 to get the exact answer.

[tex]-(\frac{3}{7})^3[/tex]

Evaluate each of the expressions below using the given value.

Answers

[tex]\frac{2a}{3} +13, \:a=15[/tex]

Step 1: Substitute [tex]a[/tex] for 15

[tex]\frac{2(15)}{3} +13[/tex]

Step 2: Solve

Multiply 2 to 15

15 × 2 = 30

[tex]\frac{30}{3} +13[/tex]

Divide 30 by 3

30 ÷ 3 = 10

[tex]10 +13[/tex]

Add 10 to 13

10 + 13 = 23

The evaluation of the expression is 23.

If 3 cot ∅ = 4 , then (3 sin ∅ + 4 cos ∅)/(3 sin ∅ - 4 cos ∅) ?​

Answers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\rm \longmapsto\:3cot\theta = 4[/tex]

[tex]\rm\implies \:cot\theta = \dfrac{4}{3} [/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } [/tex]

[tex]\rm \:  =  \: \dfrac{sin\theta \bigg[3 + 4\dfrac{cos\theta }{sin\theta } \bigg]}{sin\theta \bigg[3 - 4\dfrac{cos\theta }{sin\theta } \bigg]} [/tex]

[tex]\rm \:  =  \: \dfrac{3 + 4cot\theta }{3 - 4cot\theta } [/tex]

[tex]\rm \:  =  \: \dfrac{3 + 4 \times \dfrac{4}{3} }{3 - 4 \times \dfrac{4}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{3 + \dfrac{16}{3} }{3 - \dfrac{16}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{\dfrac{9 + 16}{3} }{ \dfrac{9 - 16}{3} } [/tex]

[tex]\rm \:  =  \: \dfrac{25}{ - 7} [/tex]

[tex]\rm \:  =  \: - \: \dfrac{25}{7} [/tex]

Hence,

[tex]\rm \longmapsto\:\boxed{\tt{ \dfrac{3sin\theta + 4cos\theta }{3sin\theta - 4cos\theta } = - \frac{25}{7} \: }} \\ [/tex]

Additional Information:-

Relationship between sides and T ratios

sin θ = Opposite Side/Hypotenuse

cos θ = Adjacent Side/Hypotenuse

tan θ = Opposite Side/Adjacent Side

sec θ = Hypotenuse/Adjacent Side

cosec θ = Hypotenuse/Opposite Side

cot θ = Adjacent Side/Opposite Side

Reciprocal Identities

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

sin θ = 1/cosec θ

cos θ = 1/sec θ

tan θ = 1/cot θ

Co-function Identities

sin (90°−x) = cos x

cos (90°−x) = sin x

tan (90°−x) = cot x

cot (90°−x) = tan x

sec (90°−x) = cosec x

cosec (90°−x) = sec x

Fundamental Trigonometric Identities

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

cosec²θ - cot²θ = 1

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

Answers

Answer:

20

Step-by-step explanation:

[tex]f(x) = 2|x + 6| -4[/tex]

Step 1: Substitute [tex]x[/tex] for the given function.

6 is the given function.

[tex]f(x) = 2|x + 6| -4\\=f(x) = 2|6 + 6| -4\\\\f(x) = 2|6 + 6| -4\\=24-4\\\\=20[/tex]

Can someone please help me?

Answers

Answer:

x ≈ 50.8°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JK}{IK}[/tex] = [tex]\frac{6.2}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{6.2}{8}[/tex] ) ≈ 50.8° ( to the nearest tenth )

I will give 40 points!!! PLEASE HELP!!!


The map shows the location of a mall, library, and school in a city:


Coordinate grid shown from negative 14 to positive 14 on x axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 14, 6, Mall is the ordered pair 10, 6, and School is the ordered pair 10 and negative 4.

Britney traveled from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles did Britney travel than Alice? (1 point)


8 miles

9 miles

10 miles

12 miles

Answers

The direct distance from the school to the library, travelled by Alice can be

found using Pythagoras's theorem.

The number of miles Britney travelled more than Alice is; 8 miles

Reason:

The distance, d, between points given their coordinates, (x₁, y₁), (x₂, y₂) can

be found with the formula;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

The above formula can be obtained using Pythagoras's theorem.

The distances travelled by Britney are;

Distance from the school to the mall = [tex]\sqrt{(10 - 10)^2 + (6 - (-4))^2}[/tex] = 10

Distance from the mall to the library = [tex]\sqrt{(-14 - 10)^2 + (6 - 6)^2}[/tex] = 24

Total distance travelled by Britney = 24 miles + 10 miles = 34 miles

The distance travelled by Alice is from the school to the library, which

gives; Alice's distance = [tex]\sqrt{(10 - (-14))^2 + (-4 - 6)^2}[/tex] = 26

Distance travelled by Alice from the school to the library is 26 miles

The number of miles more Britney traveled is 34 miles - 26 miles = 8 miles

Therefore;

Britney traveled 8 miles more than Alice

Learn more here;

https://brainly.com/question/3508899

If triangle HBN is congruent to triangle LYR, find the value of x.

Answers

Answer:

Step-by-step explanation:

Ti piacciono i banane scimmia

100 Points And Brainlyest!! PLZ HELP

Answers

Answer:

741/10000

Step-by-step explanation:

I need help please and thank you​

Answers

6. (b)

The slope of the graph is 2/3

m = change in y / change in x
Pick two points on the line (3,2) and (0,0) and to find the slope

2 - 0 = 2
3 - 0 = 3
slope = 2/3

Find the coefficient (the number in front of) x that is smaller than 2/3: 1/4 so b)

Alvin's age is two times Elga's age. The sum of their ages is 69. What is Elga's age?

Answers

Answer:

23

Step-by-step explanation:

69 divided be 3

= 23

step 2

23 + 23 = 46 ( Alvin age)

step 3

69 -46= 23 Elga age

Answer:

Elga's age is 23

Step-by-step explanation:

To solve this, we need to make our equation.

2x+x=69

In this equation, 2x is Alvin's age, while Elga's age is x. The 69 is the sum of their ages.

Combine the like terms in this equation.

3x=69

Divide both sides by 3

3/3x=69/3

x=23

Elga's age is 23, but we still need to check to make sure we are correct.

To do this, plug in 23 for x.

2(23)+23=69

46+23=69

69=69

Do we get a true statement? Yes, so we are correct.

What is −3/8÷7/12? i really need to know pls

Answers

Answer:

Step-by-step explanation:

0.6432

Order the fractions from least to greatest .



The first one is

2/3

Answers

Answer:

2/9 < 11/18 < 2/3 < 5/6

X+3(2×-4)=-19

help please ​

Answers

Answer:

x = 5

Step-by-step explanation:

X+3(2×-4)=-19

First, solve the brackets.

x + 3(-8) = -19

Now, multiply 3(-8).

x - 24 = -19

Add 24 to both sides of the equation.

x = 5

What is 3(xy) = 3(xy)?

Answers

Answer:

it is an equation that is always valid

Step-by-step explanation:

3(xy) = 3(xy)

3(xy)-(3xy) = 0

0 = 0

Write an equation of the line that passes through each pair of points.
(-3,9), (-3,-5)
** Will mark brainliest, please show work!**

Answers

Answer:

y = 0x - 5 or just y = -5

Step-by-step explanation:

use the slope intercept equation

y2 - y1

x2 - x1

- 5 - 9 = 14

-3 + 3 = 0

14 / 0 = 0

so the slope is undefined

take one of the points (let's use -3, -5) and plug that in the slope intercept form (y = mx+b)

so -5 = 0(-3)+b

0 • 3 = 0 so the b (or y intercept) equals -5

so the equation is y = -5

this is due at midnight and I have no idea how to do it

Answers

Answer:

I personally have no idea how to do this but quizlet might have the answer

Sorry hope this helps though

Step-by-step explanation:

−7x−6y=2
7x+4y=−6
solve for x and y

Answers

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}x=-\frac{2+6y}{7}[/tex]

[tex]\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-2-2y=-6\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=-\frac{2+6y}{7}[/tex]

[tex]\mathrm{Substitute\:}y=2[/tex]

[tex]x=-\frac{2+6\cdot \:2}{7}\\\\x=-2[/tex]

Imagine math. which boxes do I put the equations in, and what kind of formulas or equations I can use to solve them?

Answers

Step-by-step explanation:

3x3x3x3x3x3 = 3^6

3x3x3 = none

6x6x6 = 6^3

6+6+6 = 6x3

3 + 6 = none

3+3+3+3+3+3 = none

Answer:

For box 3^6:

3×3×3×3×3×3

For box 6^3:

6×6×6

For box 6×3:

6+6+6

3+3+3+3+3+3

For None:

6+3

3×3×3

Hope this helps! Brainliest would be really appreciated!

I'm not very good at algebra I need help with this lol

Answers

I need a question ok this is the a question

Answer:

Answer is 33

Step-by-step explanation:

If x equals 3, then the equation simplifies to 6 squared - (9/3)

9 divided by 3 is 3, then 6 squared is 36.

36-3 = 33. Hope this helps!


Enzo begins playing video games at 7:10. He logs off at 7:25.
How long did Enzo play video games?

Answers

Answer:

15 minutes

Step-by-step explanation:

725 - 710 = 15

PLEASE MARK ME BRAINLIEST!!!!

He plays game for 15 minutes
X=7:25-7:10
X=15 minute
Hope it helps

if A= {1,2,3} and B= {i,o,u} Find A×B

Answers

Answer:

GIVEN :

A = { 1 , 2 , 3 } & B = { i , o , u }

SOLUTION :

[tex] \large{ \tt{A \times B = \{ \: 1 \:, 2 \: ,3 \} \: \times \: \{ \: i, \: o ,\: u \}}}[/tex]

[tex] \large{ \tt{= \{ \: (1 \:, i \: ) \: (1 \: ,o \: ) \: (1 \: ,u \: ) \: (2 \:, i) \: (2 \: ,o \: ) \: (2 \:, u) \: (3 \:, i) \: (3 \:, o) \: (3 \: ,u) \}}}[/tex]

-Hope I helped! ~

Please feel free to leave any comments if any! :)

A meeting takes place between a diplomat
and fourteen government officials.
However, four of the officials are actually
spies. If the diplomat gives secret
information to ten of the attendees at
random, what is the probability that no
secret information was given to the spies?

Answers

Answer:

The number of ways to choose 10 people out of 14 people is given by 14C10 which is read "14 choose 10"  

Only 1 of these combinations will result in no information being given to any of the 4 spies.  

Can you figure out the probability from these 2 facts?  

Step-by-step explanation:

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