Answer:
Step-by-step explanation:
3x + 7 is both a variable expression and an algebraic expression. Since it is not an equation, we can't "solve for x."
Answer:
35.
Step-by-step explanation:
a^2 + b^2 = (a + b)^2 - 2ab
Substituting the given values:
25 = (a + b)^2 - 2*5
(a + b)^2 = 25 + 10
(a + b)^2 = 35
Answer:
$222,600
Step-by-step explanation:
28% of $795,000 = $222,600
Assuming she make no profit and no loss from the business.
Let the number of gallons of the $8 grade water used be x, that of the $3 grade water, y, and that of the $4.50 grade water be z, then:
x + y + z = 200 . . . (1)
8x + 3y + 4.5z = 200(5) = 1,000 . . . (2)
z = 2y . . . (3)
Putting equation (3) into equations (1) and (2), we have:
x + y + 2y = 200
or x + 3y = 200 . . . (4)
and
8x + 3y + 4.5(2y) = 1000
or 8x + 3y + 9y = 1000
or 8x + 12y = 1000 . . . (5)
Multiplying equation (4) by 4, we have:
4x + 12y = 800 . . . (6)
Subtracting equation (6) from equation (5), we have:
4x = 200
or x = 200 / 4 = 50
Substituting for x into equation (4), we have:
50 + 3y = 200
or 3y = 200 - 50 = 150
or y = 150 / 3 = 50
Substituting for z into equation (3) gives:
z = 2(50) = 100
Therefore, 50 gallons each of the $8 grade water and the $3 grade water should be used and 100 gallons of the $4.50 grade water.
Hello!
Slope-intercept form is y = mx + b. In this form, m is the slope and y is the y-intercept.
To find the slope, we need to use the slope formula. The slope formula is: 
. We can assign the point (4, 6) to 
and 
and (9, 16) to 
and 
.
Now, we can find the slope: 
Next, we can find the y-intercept by substituting a point into the slope-intercept form with the slope as 2.
y = 2x + b (substitute a given point)
6 = 2(4) + b (simplify)
6 = 8 + b (subtract 8 from both sides)
-2 = b
Therefore, the equation of the line is y = 2x - 2.
