MATHEMATICS HIGH SCHOOL

Which expression could be substituted for y in the second equation to find the value of x?2x - y = - 10
2x - 3y = 1​

Answers

Answer 1
Answer:

Answer:

x=31/4,y=−11/2

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Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?
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Write an equation that involves multiplication, contains, a variable, and has a solution of 5

Can someone help me with this please

Answers

X,y is 5(5y,-2y) and 5(y-2)

The variables x and y vary inversely. Use the given values to write an equation relating x and y. x=7/2 y=3/5

Answers

Answer:

x = 21/10y

Step-by-step explanation:

If the variables x and y vary inversely, this is expressed as;

x ∝ 1/y

x = k/y

k is the constant of proportionality

Given;

x = 7/2 and y = 3/5

Substitute;

7/2 =k/(3/5)

Cross multiply

k = 7/2 * 3/5

k = 21/10

Substitute the value of k into the formula;

x = k/y

x = (21/10)/y

x = 21/10 * 1/y

x = 21/10y

Hence the equation relating x and y is x = 21/10y

If dy/dx=1/x, then the average rate of change of y with respect to x on the closed interval [1, 4] is a) -1/4
b) (1/2)*ln(2)
c) (2/3)*ln(2)
d) 2/5
e) 2

Answers

The first thing to do here is to integrate the ordinary differential equation dy/dx = 1/x. This is equal to  y = ln x + C. Assuming C is zero. y = lnx. substituting the two interval, 
y1 = 0 y2 = ln 4
the rate of change then is equal to (ln4 - 0) / (4-1) equal to 2/3 ln 2. Answer is C

If 1/4 inch represents 50 miles, how many inches are needed to represent 225 miles?

Answers

0.25 inch ---> 50 miles
?? inches ---> 225 miles
so the answer is (225*0.25)/50 = 1.125 inches

A satellite television company charges a one-time installation fee anda monthly service charge. The total cost is modeled by the function
y = 40 + 90x. Which statement represents the meaning of each part
of the function?
(1) y is the total cost, x is the number of months of service,
$90 is the installation fee, and $40 is the service charge per
month.
(2) y is the total cost, x is the number of months of service,
$40 is the installation fee, and $90 is the service charge per
month.
(3) x is the total cost, y is the number of months of service,
$40 is the installation fee, and $90 is the service charge per
month.
(4) x is the total cost, y is the number of months of service,
$90 is the installation fee, and $40 is the service charge per
month.

Answers

Answer:

Option (2).

Step-by-step explanation:

A satellite T.V. company charges one time installation fees along with monthly service charge.

Total cost is modeled by the function y = 40 + 90x

Here y = Total cost charged by the company

A one time installation charges = $40

Service charge for a month = $90

and number of months for which service was used = x months

Therefore, Option (2) explains the function well.
the answer is 2 y= total installation cost. x is the variable representing the number of months of service and $40 is the fixed price while $90 is dependent on the xvalue

Probability of rolling factors of 24

Answers

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24 and rolling a 6-sided die you can get 1, 2, 3, 4, 5, 6 so 5 is the only thing you can roll that isn't a factor of 24 so

5/6 is the probability
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