0
y=1/3x
x=-18
y=1/3(-18)
y=-6
Savannah Semrad
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If y varies inversely as x and y equals 3 when x equals 6 find the value of x when y equals 18?
3
A number consists of two digits whose sum is 8 if 18 is added to the number its digits are reversed find the number do this question by taking one and two variables?
Sum of digits x+y=8 Two digit no assume as 10x+y It is given that 10x+y+18=10y+x 9x-9y+18=0 x-y=-18/9 x-y= -2 Equate both x+y-8=x-y+2 2y=10 y= 5 Substitute this y in x+y x+5=8 x=3 So 35 is original two digit no Reversed new no is 53
Solve the system of equation using substitution 2x plus 5y equals 2 and -3x-y equals -3?
2x + 5y = 2-3x - y = -3from the second equation:-y = -3 + 3xy = 3 - 3xsubstitute this value in the first equation:2x + 5(3-3x) = 22x + 15 - 15x = 2-13x + 15 = 2-13x = 2 - 15-13x = -13so, x = 1Now, solve for y :y = 3 - 3xy = 3 - 3 (1)y = zero
Find two numbers whose sum is 60 and whose difference is 24?
42 and 18. Assuming x is the first number and y is the second number x + y = 60 x - y = 24 Adding the above 2 equations: 2x = 84 x = 42 Take 1st equation 42 + y = 60 y = 60 - 42 y = 18
Find a possible formula for the quadratic function whose graph has vertex left parenthesis 8 comma 2 right parenthesis and y intercept negative 11?
Using the vertex (h, k) the equation of the quadratic would be: y = a(x - h)² + k → y = a(x - 8)² + 2 → y = a(x² - 16x + 64) + 2 → y = ax² -16ax + 64a + 2 Using the y-intercept of (0, -11): -11 = a 0² - 16a 0 + 64a + 2 → 64a = -13 → a = -13/64 Thus the quadratic could be: y = (-13/64)x² - 16(-13/64)x + 64(-13/64) + 2 → y = (-13/64)x² + (13/4)x - 11 Or, removing the fractions: 64y = -13x² + 208x - 704
What two numbers equal 13 but when multiplied equal -90?
103
x^3-y^3?
13x
If and x equals -18 find y?
if and x equal -18 find y -18 * 1/3 = -6
Two positive numbers have product 13 Using calculus find the smallest possible value of their sum?
Let x and y be positive numbers such that xy=13. Thus, y=13/x. We want to minimize t=x+y=x+13/x. Differentiate t=x+13/x. t'=1-13x-2 Set this equal to zero. 1-13x-2=0 13x-2=1 x2=13 x=sqrt(13) Now solve for y: y=13/x=13/sqrt(13)=sqrt(13)
If y equals 1 over 3 x and x equals -18 find y?
If y(x) = 1/3x, y(-18) = 1/[3(-18)] = -1/54.
If y varies directly as x and y 18 when x 24 find x when y 15?
If y varies directly as x and y is 18 when x is 24, then y is always three fourths of x. So if y is 15, then x is 20.
2x-3y=-13X+17=3y?
x=-16 , y= -31/3
What is the order pair 2x plus 5y equals 2 and -3x-y equals -3?
2x + 5y = 2 ..... Eq.1-3x - y = -3 ..... Eq.2 .... we can write it in another form y = 3 - 3xPut the value of y in Eq.1 the result will be :2x + 5(3 - 3x) = 22x + 15 - 15x = 22x - 15x + 15 = 2-13x + 15 = 2-13x = 2 - 15-13x = -13x = -13/-13 ......... X = 1to find Y, put the value of X in Eq.2y = 3 - 3xy = 3 - 3(1)y = 3 - 3 .......... Y = Zero
Y equals -x plus 12x-y equals 5 solve by substitution?
17
What is the slope of the lines y-11 equals 13x-7?
That equation represents only one line. y - 11 = 13x - 7 y = 13x + 4 The slope is 13.
What is the slope of the lines y-11 equals -13x-7?
That equation represents only one line. y - 11 = -13x - 7 y = -13x + 4 The slope is -13.
Find the measures of two complementary angles if the difference in their measures is 18?
If x and y are the two angles, then x + y = 90 and x - y = 18 Adding the two equations together gives 2x = 108 so that x = 54 and then y = x - 18 = 36
