MATHEMATICS HIGH SCHOOL

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

Answers

Answer 1
Answer:

Answer:

7x+2y =1

Step-by-step explanation:

Hello

use the points to find the slope (A)

A=(-3-11)/(1-(-3)) \nA= (-14)/(4) \n\n\nA=-(7)/(2) \n\n\n

with the slope and a point , let´s take J(-3,11)

y-y_(0) = A (x-x_(0) )\n\ny-11=-(7)/(2) (x+3)\ny-11=-(7x)/(2) -(21)/(2) \ny+(7x)/(2) =-(21)/(2) +11\n\ny+(7x)/(2) =0.5\n\n\n

must be multiplied by two to eliminate the fractional and then order

2*(y+(7x)/(2)) =2*0.5\n7x+2y =1
Answer 2
Answer: y-11=-7/2(x+3) is one answer and y+3=-7/2(x-1) is the other

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Solve each equation mentally

Answers

Answer:

1. x=7

2. x=11

3. x=0.2

Step-by-step explanation:

MATH HELP MIDPOINT…..

Answers

Step-by-step explanation:

Going from  V to M :

 x   goes from   13 to 7      or a change of  -6    go  -6 more to reach U, x  = 1

 y goes from   8 to 12    or a change of + 4   go +4 more to reach U, y  = 16

U = (1,16)

Which statement best compares savings accounts and money market accounts?

Answers

Answer: A regular savings account has fewer restrictions on withdrawals than a money market account but at a lower interest rate

Step-by-step explanation: got it from my notes

Answer:

A money market account allows for more withdrawals than a regular savings account but at a higher interest rate.

Step-by-step explanation:

Fill in all the missing measures. Show your work.

Answers

Answer:

B= 180-63

= 117°

E= 117°

Alternating angles are equal

Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacobspends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50
for four bags of popcorn and two drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price
of one drink.
Using these equations, determine and state the price of a bag of popcorn and the price of a drink,
to the nearest cent.

Answers

ok lets say
popcorn = x and
drinks = y

Jacob:      2x + 3y = 18.25
Zachary:   4x + 2y = 27.50

ok now you have to use these 2 equations to get the answer

4x + 2y = 27.50  --->   2y = 27.50 - 4x   --->  y = 13.75 - 2x

2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75             One bag of popcorn is $5.75


4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25             One drink is $2.25

Answer:

Popcorn costs: $5.75, and drink costs: $2.25.

Step-by-step explanation:

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?

Answers

The exponential model would take the form: 
y=Ae^(kt)
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
8 = 2e^(k*3)
k = (ln(4))/(3)

Now, plugging in 6 days:
y = 2e^{ (ln(4))/(3)*6}
y = 32

The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17

Thus, the exponential is almost double the result of the linear! Hope that helps. 

Answer:

Step-by-step explanation:

for the exponential it is actually 64

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