Answer:
Part 1)
Part 2)
Step-by-step explanation:
<u><em>Analize two problems</em></u>
Part 1) If y varies directly with x, and If y=-8 and x= -3 what’s x when y= 6
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
step 1
Find the value of the constant of proportionality k
For x=-3, y=-8
substitute the given values
step 2
Find the linear equation
step 3
Find the value of x when y=6
substitute the value of y in the linear equation
solve for x
simplify
Part 2) If y varies inversely with x, and If y=-8 and x= -3 what’s x when y= 6
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or
step 1
Find the value of the constant of proportionality k
For x=-3, y=-8
substitute the given values
step 2
Find the equation
step 3
Find the value of x when y=6
substitute the value of y in the equation
solve for x
The equation of the line that passes through (2, -1) and is parallel to a line that has a slope of 3/4 is: 3x - 4y = 10.
<h3>What is the Equation of a Line in Standard Form?</h3>
The equation of a line can be expressed as, Ax + By = C, which is in standard form.
Given:
- A point (a, b) = (2, -1)
- Slope (m) = 3/4.
Plug the values into the point-slope form, y - b = m(x - a):
y - (-1) = 3/4(x - 2)
y + 1 = 3/4(x - 2)
4(y + 1) = 3(x - 2)
4y + 4 = 3x - 6
4 = 3x - 6 - 4y
4 + 6 = 3x - 4y
10 = 3x - 4y
3x - 4y = 10
The equation in standard form is: 3x - 4y = 10.
Learn more about the equation of a line in standard form on:
brainly.com/question/1554350
#SPJ1
Answer:
B. Two-thirds x + 17
Step-by-step explanation:
Let
x = number of baseball cards his brother has
two-thirds of the number of cards in his brother's baseball card collection = 2/3x
Barry = 2/3x + 17
A. Two-thirds x minus 17
= 2/3x - 17
B. Two-thirds x + 17
= 2/3x + 17
C. 17 x minus two-thirds
= 17x - 2/3
D. 17 x + two-thirds
= 17x + 2/3
The correct answer is
B. Two-thirds x + 17
Answer:
Step-by-step explanation:
If W is between X and Y, this means that W is the midpoint of X and Y. The expression XW+WY = XY is therefore true.
Given WX = 6n - 10, XY = 17, and WY = 3n, substituting the given functions into the formula;
6n-10+3n = 17
9n-10 = 17
add 10 to both sides
9n-10+10 = 17+10
9n = 27
divide both sides by 9
9n/9 = 27/9
n = 3
Since WX = 6n-10
substitute n = 3 into the function
WX = 6(3)-10
WX = 18-10
WX = 8
<em>Hence n = 3 and WX = 8</em>