Given the equation 3x + y = 14, determine the slope of the line

Answers

Answer 1

Answer:

-3 is the slope of the line.

Step-by-step explanation:

You have to rearrange the equation to slope intercept form, y=mx+b.

3x+y=14

-3x     -3x

y=-3x+14

Answer 2

Answer:

3x + y = 14

Step-by-step explanation:

rewrite in y = mx + b format

i.e y = 3x - 14

where m = slope

therefore m=3


Related Questions

Help plz:)))I’ll mark u Brainliest

Answers

Step-by-step explanation:

The angle where the shadow ends is

[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]

The distance from the tree to the angle of end shadow equal (60-20)=40ft

So the tall of tree is

[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]

Which equation represents a linear equation

Answers

Answer:

I'm thinking it's A or C

Step-by-step explanation:

I'm sorry I can't decide ;-;

Answer:

The 4th answer.

Step-by-step explanation:

It has the equivalence that each point will be substracted 5 from y and 20 from x, but it won't change the line of the result. Sure, the position, but not the line.

Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.

Answers

Answer: a. This line's slope-intercept equation: y=-9.7x+417.1

b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Step-by-step explanation:

Linear equation: y=mx+c  (slope-intercept equation)

, where m= rate of change in y with respect to change in x , c= Initial value.

Let y=   Mass of remaining gas after x minutes.

m= -9.7 (given)

At x= 8, y=339.5

Thus,

[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]

a. This line's slope-intercept equation: y=-9.7x+417.1

b. At x= 31 minutes

y=-9.7(31)+417.1

⇒ y=-300.7+417.1

⇒ y=116.4

31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. Put y=0, we get

[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]

If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Rob hits ball 3 feet off the ground at an angle of 30 degrees with an initial velocity of 115ft/sec. Will the ball clear a 20 foot fence that is 300 feet from the home plate?

Answers

##################################

Multiply (x-1)(x^3+4x^2+4x-1) and combine like terms. Show your work.

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!

Answers

Answer:

A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)

Such that each element in the domain can be mapped into only one element from the range.

Let's see graphs 18, 20,24 and 30.

Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)

18) Here we can see that the point x = 1 his mapped into two different values of y.

we have the pair (1, 2) and the pair (1, -3)

And something similar happens for x = 2.

Then we can conclude that this is not a function.

20) Here we have a linear relationship.

Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.

Linear equations can be written as:

y = a*x + b

So x can be any value, and thus y also can be any value.

Then the domain is the set of all real numbers, and the range is the set of all real numbers.

24) Here we have a quadratic function whose arms go down.

This is a function, now let's see the domain and range.

Quadratic functions are written as:

y = a*x^2 + b*x + c

There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.

Now, let's look at the graph.

We can see that the function goes up, reaches a maximum, and then goes down again.

Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:

y ∈ (-∞, 15]

or simply:

y ≤ 15.

30) Here again, we can see that for x = 0 there are two different values of y.

the same happens for x = -1, x = -2, and a lot of other values.

Then this is not a function, because it is mapping values of the domain into different values of the range.

Aaron is twice as old as Ryan.In 3 years,the sum of their ages will be 30 years.Find Aaron′s present age ​

Answers

Answer:

If we take Ryan's age as 'x' then we have Aaron's age as '2x'

Now, we have the sum of their ages after 3 years as 30.

So  according to question, we can prepare an equation which is

2x+3+x+3 = 30

= 3x+6 = 30

= 3x = 30-6

= 3x = 24

= x = 24÷3

= x = 8

Thus, Ryan' is 8 years old now.

Now we need to find Aaron's age, and this can be done easily as we have already made an expression fore Aarons age, i.e., '2x'

So 2x= 2×8

= 16.

So we have Aaron's age-16,

Ryan's age-8

Ok so first, let’s see it this way

Aaron: x *2
Ryan: x

So basically 3 in total. Since 30 is already divisible by three we can go from there. Then we will get original age.

30/3 = 10

Aaron = 10 *2
Ryan = 10

This is their ages AFTER the three years. So now, we just subtract to find original age.

20-3= 17
20-3 = 7

Aaron is 17.
Ryan is 7.

Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.07 minutes to screen-print a batch of shirts, how many shirts are in the, batch?

Answers

Answer:

7

Step-by-step explanation:

13.07 minus 6.07 is 7

7 divided by 1 is 7

ans is 7

HELP solve the proportion x+1/16 = 17/32

Answers

Answer:

Exact Form:

x=15/32

Decimal Form:

x=0.46875

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

Exact Form:

x=15/32

Decimal Form:

x=0.46875

Hope this helps!!!

Answer:

Exact Form : x = 15/32

Decimal : 0.46875

SOMEONE SAVE ME FROM FAILING PLEASE

Answers

Answer:

Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!

Step-by-step explanation:

Answer:

y - 3 = -2(x + 4)

Hello i have no question im just giving brainliest to whoever answers first

Answers

Answer:

thanks very much I really appreciate your kindness

Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER

Answers

Answer:

36-e

Step-by-step explanation:

-

Solve 1\ 7 + 1 \2= Show all your steps and don't get the answers from goo.gle.

and if it is not about the question four the answer I will report and no branlest

Answers

Answer:

[tex]\frac{9}{14}[/tex] = 0.642857143

Step-by-step explanation:

[tex]\frac{1}{7}+\frac{1}{2}[/tex]

Least common multiple of 7 and 2 is 14. Convert [tex]\frac{1}{7} and \frac{1}{2}[/tex] to fractions with denominator 14.

[tex]\frac{2}{14} + \frac{7}{14}[/tex]

Since [tex]\frac{2}{14} + \frac{7}{14}[/tex] have the same denominator, add them by adding their numerators.

[tex]\frac{2+7}{14}[/tex]

Add 2 and 7 to get 9.

[tex]\frac{9}{14}[/tex]

An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were there for the four locations to apply the new ointment

Answers

Answer:

There were 70 choices for the four locations to apply the new ointment

Step-by-step explanation:

The order in which the locations are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different choices were there for the four locations to apply the new ointment

Four locations from a set of 8. So

[tex]C_{8,4} = \frac{8!}{4!(8-4)!} = 70[/tex]

There were 70 choices for the four locations to apply the new ointment

differentiate between Charles babbage's and Alan turing's computer designs​

Answers

The Analytical Engine was a proposed mechanical general-purpose computer designed by English mathematician and computer pioneer Babbage,[2][3] with the assistance of Ada Lovelace. It was first described in 1837 as the successor to Babbage's difference engine, which was a design for a simpler mechanical computer.

.cuál es el resultado de 3.15+2​

Answers

Answer:

3.15+2=5.15

The answer is 5.15.

y = 5x – 2
2x + 9y = 10

Answers

The answer is
x= y+2/5
x= 1/2

Answer:

y= ax+mb

Step-by-step explanation:

Help pls

What is the main detail when Multiplying a Difference of Squares?
There is no "A" Value
There is no "B" Value
There is no "C" Value

Ik it’s not c!

Answers

I think it’s B value but I’m not sure

Find the sine and cosine of the given angle
120°

Answers

Answer:

By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2

Step-by-step explanation:

please mark brainlist

How do you graph y = (4 – x)(x + 2)?

Answers

Answer: look at the picture

Step-by-step explanation: hope this help

Write Function or Not
1.{(1,3),(2,4),(3,5)}
2.{(1,2),(1,3),(2,4)}
3.{(-3,4),(0,7),(3,0)}
4.{(4,3),(4,0),(-3,0)}
5.{(6,-8,),(-6,-8),(-6,8)​}

Answers

Answer:

1. is a function

2.is a function

3. is function

4 is not function

5. is not function

Step-by-step explanation:

What’s the slope of y = -3x + 5? *

Answers

Answer:

-3

Step-by-step explanation:

The number connected to the x is the slope, the number being added on or subtracted is the y-intercept

Answer:

m=-5

Step-by-step explanation:

what is the system of linear equation by graphing? 2x + 3y=16.9
5x=y + 7.4​

Answers

Answer:

6366336363721.0122112222%

LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9

Answers

Answer:

LN = MP = 9 units

Step-by-step explanation:

In rectangle LMNP, LN and MP are diagonals .

Measures of the diagonals of a rectangle are equal.

Therefore,

MP = LN

2x - 9 = x

2x - x = 9

x = 9

LN=x = 9 units

MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units

help


There are 4 housekeepers working on each floor. One room only requires one housekeeper. If the housekeepers try distributing the work equally, how many housekeepers need to clean more rooms that the others?

Answers

35 rooms + 3 suites = 38 total rooms.

38 / 4 = 9.5

2 house keepers can clean 9 rooms each and 2 house keepers can clean 10 rooms each

2 Housekeepers need to clean more rooms than the other two.

Distribute and combine like terms:
6-3(x-8)

Please show a step by step process.

Answers

-3x+30 6-3x+24 30-3x

Write your answer as a decimal or whole number.
% of 10 =7

Answers

Answer: 70%

We know that 70% of 100 is 70 but since we are working with 10 we can use a proportion.

However, just by looking at the numbers we can conclude it is 70% because if you take a zero off of 100 and 70 it is still proportionally equal to 100 and 70. Therefore, the answer is 70%.

Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)

Answers

Answer:

Step-by-step explanation:

You need to find the slopes of the line segments.

If the lines are perpendicular to each other, the product of their slopes is -1.

If the lines are parallel, they have the same slope.

A quality control inspector is testing microprocessor chips made during a single day by a new machine to determine the proportion of defective chips. She selects an SRS of 80 chips from the 3000 chips produced by the machine on that day. it turns out that six of the chips are defective. Which of the following conditions for constructing a confidence interval for the proportion of defective chips has been violated?
A. np>10 and n(1-p) > 10
B. An SRS has been taken from the population of interest.
C. The population is at least 10 times the size of the sample.
D. The population is approximately Normally distributed.
E. There appear to be no violations.

Answers

Answer:

The answer is "Choice A".

Step-by-step explanation:

[tex]\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10[/tex]

In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.

What is the simplified answer?

Answers

Answer:1 and 1/2

Step-by-step explanation:

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