Find the slope of the line through the given points: (1, 5) & (4, 7).

Answers

Answer 1

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Find slope using the slope formula:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the given points : [tex]\frac{7-5}{4-1}[/tex]

Calculate by subtracting the numbers : [tex]\frac{2}{3}[/tex]

Solution : [tex]\frac{2}{3}[/tex]


Related Questions

Three angles are in the ratio 2 : 3 : 5 The smallest angle is 50 degrees Work out the sizes of the other two angles
Please be in-depth about it I’m so stupid

Answers

Answer:

Step-by-step explanation:

Let angles are 2x,3x,5x

So given 2x=50

X=25.

3x=3×25=75.

5x=5×25=125.

Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise? Sara would earn $______ for that week.

Answers

Answer: Sara would earn  $478 for that week

Step-by-step explanation:

1. Sara's weekly salaries is $400, and she gets 6.5% on sales at her work.

2. In order to find how much she would get from the commission of $1200 worth of merchandise they sold, we need to find the 6.5% of 1200

Step 1: Our output value is 1200.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 1200=100%.

Step 4: Similarly, x=6.5%.

Step 5: This results in a pair of simple equations:

1200=100%(1).

x=6.5%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both  equations have the same unit (%); we have

[tex]\frac{1200}{x} = \frac{100}{6.5}[/tex]

Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{1200} =\frac{6.5}{100}[/tex]

[tex]x=78[/tex]

Therefore, 6.5% of $1200 is $78

3. you would then need to add 400 + 78 and you get a total of $478

Rewrite the equation y=x^2−5x−6 in factored form and find the zeros of the equation. Then use the zeros to find the line of symmetry of the parabola represented by the equation.

What is the equation for the line of symmetry of the parabola represented by the equation y=x^2−5x−6?

x=−2.5
x=2.5
x=0.5
x=−3.5
x=3.5
x=−0.5

Answers

Hi there!

[tex]\large\boxed{x = 2.5}[/tex]

y = x² - 5x - 6

Rewrite into factored form by finding two numbers that sum up to -5 and multiply into -6. We can use the numbers -6 and 1:

y = (x - 6)(x + 1) is the equation in factored form.

There are zeroes at:

0 = x - 6

x = 6

0 = x + 1

x = -1

Find the x-value exactly half-way between the two zeroes to find the axis of symmetry:

(-1 + 6) / 2 = 5 / 2 = 2.5

Therefore, the equation for the line of symmetry is:

x = 2.5

4 Doug has been wondering where the 24 hours in a day goes. On Monday, he spent of the day sleeping, 3 of the day in school, and of the day at soccer practice. How much time was left for other activities?

Answers

Answer:

Time left for other activities = 7/24 hours

Step-by-step explanation:

The complete question is "Sam has been wondering where the 24 hours in a day goes. On Monday, he spent 1/3 of the day sleeping, 1/4 of the day in school, and 1/8 of the day at soccer practice. How much time was left for other activities?"

Spent 1/3 of the day sleeping,

Spent 1/4 of the day in school

Spent 1/8 of the day at soccer practice.

Time consumed for all these activities = (1/3+1/4+1/8)

Time consumed for all these activities = (8+6+3)/24

Time consumed for all these activities = 17/24

Time left for other activities = (1 - 17)/24

Time left for other activities = (24-17)/24

Time left for other activities = 7/24

During a two-hour period, the temperature in a city dropped from a high of 49°F to a low of −19°F. What was the range of the temperatures during this period?

Answers

Answer: 68°F

Step-by-step explanation:

To find the range for a set of numbers that are given, we subtract the lowest number from the biggest number. In this case, we subtract the lowest temperature from the highest temperature. This will be:

= 49°F - (-19°F)

= 49°F + 19°F

= 68°F

Based on the temperatures observed in that time, the range of temperatures would be 68 ° F.

The range is acquired by subtracting the lower figure from the higher figure:

= Higher temperature - Lower temperature

Solving would give:

= 49 - ( - 19)

= 49 + 19

= 68 ° F

In conclusion, the range is 68 °F

Find out more about range at https://brainly.com/question/20259728.

1. What is the probability of an odd outcome?

2. What is the probability of an outcome less than 6?

Answers

Answer:

1. 50%

2.[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.

2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.

P = N / NP

Dice has 6 faces. I.E. 1,2,3,4,5,6

= 6

NP, therefore, is the total number of possible outcome.

Faces less than 6. (1,2,4, and 5)

N = 5

P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.

Una cesta de frutas tiene 888 plátanos, 333 naranjas, 555 manzanas y 666 kiwis.
For cada 333 kiwis hay 444 \_\_\_\_____\_, \_, \_, \_.
Escoge 1 respuesta:
Escoge 1 respuesta:

Answers

Answer:

plátanos

Step-by-step explanation:

si por cada 666 kiwis hay 888 plátanos, divides todo por 2, y te da 333 kiwis ⇒ 444 plátanos

LAST QUESTION PLS HELP idk if you can see it all

Answers

The correct answer is c

Answer:

C is the right answer

Step-by-step explanation:

f(x) = 14 - 8x
g(x) includes points in the table shown.
Find the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x).
х
3
Ja
6
9
12
15
HA
12
17
22

Answers

Answer:

go to desmos it a online graphing calculator that helps with the intercepts

Step-by-step explanation:

PLS HELP ASAP IM TAKING A EXAM
4/15 as a decimal rounded to the nearest hundredth

Answers

4/15 as a decimal to the nearest hundredth is 0.26

Answer:

Step-by-step explanation:

I needed points ⬛️⬛️

Can someone help me?

Answers

x will equal 30...set them equal to each other and solve from there

In
\Delta
Δ

ABC
ABC
,
\angle A
∠A
measures exactly
88
88
o, and
\angle B
∠B
measures greater than
51
51
o. Which of the following best describes the measure of
\angle C
∠C
?

Answers

Answer:

Step-by-step explanation:

I will NEVER fly delta again after the incident of 1992!!!! DISGUSTONG

Plz help! (picture below) Will mark brainliest or correct one!

Answers

You mean like graph? Yeah.

Write in Function form

[tex]\frac{y-3}{x-6}=2\\y-3=2(x-6)\\y=2(x-6)+3\\y=2x-12+3\\y=2x-9[/tex]

So (y-3/x-6)=2 does represent "line"

[tex]\frac{y-6}{x-4}=5[/tex]

multiply x-4 all side.

[tex]y-6=5(x-4)[/tex]

Notice how the equation is similar to "Tangent" so it's clearly a line.

About reasoning, No idea how to explain but this might help...

Whenever you get rid of the fraction part, it'll leave only y-f(a)=f'(a)(x-a) which is a Tangent Line (It explains it.)

And when you simplify in Function Form, you'll get an exact linear function  "[tex]y=mx+b[/tex]"

Round 3.582307 to the nearest thousandth

Answers

Answer:

3.582

Step-by-step explanation:

Find the number in the thousandth place  2  and look one place to the right for the rounding digit  3 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

3.582

Hope this helps!! Please consider marking brainliest!!

4 x _ = 10
also help me with this plz answer it don't say look it up or use hint

Answers

Answer:

2.5

Step-by-step explanation:

4 x _ = 10

_ = 10/4

_ = 2.5

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Jedi donated bottles of alcohol.If 201 of boxes are filled with 42 bottles of alcohol how many bottles of alcohol were donated?​

Answers

Answer:

8,442 bottles of alchohol were donated.

Step-by-step explanation:

201×42= 8,442

No. of boxes - 201
No. of bottles - 42
201*42=8442 bottles are there.

you are setting the combination on a four digit lock. you want to use the numbers 6241 but dont care what order they are in

Answers

12:46 because that can be a real time

Linda made $180 for 12 hours of work.
At the same rate, how many hours would she have to work to make $135?

Answers

Answer:

I believe its 9 hours.

Step-by-step explanation:

Divide 180 by 12 to get 15

So Linda makes 15 dollars an hour

Then divide 135 by 15 to get 9

Linda would need to work 9 hours to get $135

Answer:$255

Step-by-step explanation:

Write the following using algebraic notation, using the letter x for any
unknown numbers:
I think of a number, add one, then double the result.​

Answers

9514 1404 393

Answer:

  2(x+1)

Step-by-step explanation:

  x . . . I think of a number

  x +1 . . . add 1

  2(x +1) . . . double the result

The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board? 96 + x Less-than-or-equal-to 149 96 + x Greater-than-or-equal-to 149 96 + x > 149 96 + x < 149

Answers

Answer:

96 + x Less-than-or-equal-to 149

Step-by-step explanation:

no more than 149 people can board so if it was "more" than 149 then it would be incorrect.

Answer:

A is correct

Step-by-step explanation:

NEED HELP ASAP!!!


Choose an equation for the line that is parallel to the given line and passes through the given point for questions 1 and 2.
1. y = 5x + 10; (2, 14) (1 point)
A.) y=-x+4
B.) y=-x-4
5
C.) y=5x - 68
D.) y=5x + 4



Answers

Answer D

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Which ordered pair is a solution of the equation? Y = 7x - 3​

Answers

Answer:

y-intercept:  ( 0 , − 3 )

x-intercept:  ( 3 7 , 0 )

Step-by-step explanation:

How to convert decimal into an exponential form

Answers

Answer:

Step-by-step explanation:

The exponents are negative instead of positive. so if you have like .00000000001. that would be 1.0X10^-11

exponents are amamazing cus i don’t kkkw

Write 1over32 as a power of 2

Answers

Answer:

32= 2×2×2×2×2=2 power 5

Answer:

[tex]2^{-5}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex]\frac{1}{32}[/tex]

= [tex]\frac{1}{2^{5} }[/tex]

= [tex]2^{-5}[/tex]

Joanna spent 16 minutes working out on six different equipment at A gym calculate the time taken by Joanna to work out on each equipment

Answers

Answer:

2.67 minutes or 2 2/3 minutes

Step-by-step explanation:

To find the amount of time she spent on each you would divide the time by amount

16 / 6 = 2.6666...

Rounded = 2.7 minutes

Bloomingdales pays $56 for a handbag. The markup is 25%. What is the markup? What is the selling price.

Answers

Answer:

the markup is 11.2 the original selling price was 44.8

Step-by-step explanation:

25 percent of 44.8 is 11.2 and 44.8 plus 11.2 is 56.

so 11.2 markup and 44.8 selling price

the diagram shows a right angles triangle ABC. BC = 10 cm. angle CAB = 90 degrees. angle ABC = 30 degrees. M is the midpoint of AB. Work out the size of angle AMC.

Answers

Answer:

angle AMC=49.1

Step-by-step explanation:

A hotel has a budget of $16,000 to buy 84 new mattresses. Each mattress costs $209. The hotel manager says, "Since 80 × $200 = $16,000, I can stay within the budget." Part A Use the drop-down box to tell whether the manager's reasoning is logical. The hotel manager's reasoning Choose... logical. Part B Use the drop-down boxes to explain why the manager's reasoning is or is not logical. Since the manager rounded 84 to 80 and $209 to $200, she found an Choose... . So, the actual total cost is Choose... $16,000.

Answers

Answer:

One

Step-by-step explanation:

please help im stuck and i dont have time

Answers

Answer:

a.  [tex]3x^{2} \\\\[/tex]

b. [tex]5x+1[/tex]

Step-by-step explanation:

SOLVE.
1/5x=-10
[tex]1 \div 5x = - 10[/tex]

Answers

Answer: X = -50

Step-by-step explanation:

1. 1/5x = -10

1/5x = -10

2.Multiply by 1

3.Multiply all terms by the same value to eliminate fraction denominators.

4.Simplfiy

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