MATHEMATICS HIGH SCHOOL

Write the equation of each line in the indicated form 1. Standard form. Slope=8/3;(-2,0)

2. Point-slope form (-5,6) and(3,-10)

Answers

Answer 1
Answer: 1. standard form is y=mx+b so I will use point slope to start
y-0=8/3(x+2), y=(8/3)x+(16/3)
2.Must solve for slope first, (y2-y1)/(x2-x1), -10--5/3-6= -5/-3= 5/3
so slope is 5/3, point slope is y-y1=m(x-x1), y-6=5/3(x+5)

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2x2 + 6x + 5 = 0 what are the real roots for the quadratic equation  

Answers

2x^2 + 6x + 5 = 0

x= (-b+/- √(b^2 -4ac) )/(2a)

x= (-(6)+/- √((6)^2 -4(2)(5)) )/(2(2))

x= (-6+/- √(36 -40) )/(4)

x= (-6+/- √(-4) )/(4)

x= (-6+/- i√(4) )/(4)

x= (-6+/- 2i )/(4)

NO REAL ROOTS
2x^2+6x+5=0\ \ \ \ /:2\n\nx^2+3x+2.5=0\n\nx^2+2x\cdot1.5=-2.5\n\nx^2+2x\cdot1.5+1.5^2-1.5^2=-2.5\n\n(x+1.5)^2-2.25=-2.5\n\n(x+1.5)^2=-2.5+2.25\n\n(x+1.5)^2=-0.25 < 0\ aren't\ real\ roots\ because\ for\ x\in\mathbb{R},\ a^2\geq0

You can Drive your car 21.75 miles with 1 gallon of gasoline how many miles can you drive with 13.2 miles of gasoline

Answers

21.75miles=1gallon
xmiles=13.2gallons
easy, multiply the first equaiton by 13.2 to get the galons to match

21.75*13.2=287.1 miles=13.2 gallons
answer is 287.1 miles
You can drive 287.1 miles with 13.2 miles of gasoline

If annual college tuition and fees cost $8675, room and board cost $2235, books are $1850, and other charges are $250 per year, what is the total cost for 1 year of attendance?

Answers

well we have to do 8675 + 2235 + 1850 + 250 which equals $13,010
so the answer is $13,010
13010 because all you need to do is add all of the numbers up

Of the students in sixth grade, 3/5 pack their lunch. What percent of students pack their lunch? * A. 70% B. 60% C. 66.6% D. 54% ​

Answers

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The percentage of students who packed their lunch is 60%.

Option B is the correct answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Requiredpercentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50 /100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Of the students in sixth grade:

The number of students who packed their lunch = 3/5

This means,

Out of 5 students, 3 packed their lunch.

We can find the percentage by multiplying 3/5 by 100.

= 3/5 x 100

= 3 x 20

= 60%

Thus,

The percentage of students who packed their lunch is 60%.

Option B is the correct answer.

Learn more about percentages here:

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The percentage of students who pack lunch is 60%.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have of all the students in sixth grade, 3/5 pack their lunch.

Assume that the percentage of students who pack lunch is [x]%. So -

x% = 3/5 x 100 = 60%

Therefore, the percentage of students who pack lunch is 60%.

To solve more questions on percentage, visit the link below-

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Which description is represented by a discrete graph

Answers

Hey there,

 continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. Adiscrete function allows the x-values to be only certain points in the interval, usually only integers or whole numbers.: Graph the continuous function: y = x2 for all Reals.

Answer:

Step-by-step explanation:

b took the test

The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number?

Answers

Let x = the ones digit
Let y = the tens digit

x+2y=12
x=2y
x+y=12 substitute x for 2y to get:
(2y)+y=12 add like terms to get:
3y=12
3y=12 divide both sides by 3 to get:
y=4
x+y=12 substitute y for 4 to get:
x+4=12 subtract 4 from both sides to get:
x=8
so if x=ones
and y=tens
then the answer is 48
Let there be two variables: t and o where t is for ten digit and o is for one digit:

So we have two equations:
t = 2o                           (1)
t+o = 12                       (2)

Subtract (2) from (1) and we get o = 12-2o

Now solve for o:

3o = 12

o = 4

Now plug in (1) or (2) and we have t = 8

Therefore our number is 10t + o = 84
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