Answer:
73/100
Step-by-step explanation:
73% = 73/100
Xy=10
x+y=29
subtract x from both sides for second equation
y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=
![\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%20%7D%7B2a%7D%20)
so
x^2+29x+10=0
a=1
b=29
c=10
x=
x=
x=
![\frac{-29+/- \sqrt{801} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-29%2B%2F-%20%5Csqrt%7B801%7D%20%7D%7B2%7D%20)
x=
![\frac{-29+/- 3\sqrt{89} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-29%2B%2F-%203%5Csqrt%7B89%7D%20%7D%7B2%7D%20)
x=
![\frac{-29- 3\sqrt{89} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-29-%203%5Csqrt%7B89%7D%20%7D%7B2%7D%20)
or
![\frac{-29+ 3\sqrt{89} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-29%2B%203%5Csqrt%7B89%7D%20%7D%7B2%7D%20)
those are the 2 numbers
aprox=-28.65 and -0.349
Answer:
Sry its long but if your to lazy to look thru it here is the answer= z = {-7, 8}
Step-by-step explanation:
Simplifying
z2 + -1z + -56 = 0
Reorder the terms:
-56 + -1z + z2 = 0
Solving:
-56 + -1z + z2 = 0
Solving for variable 'z'.
Factor a trinomial.
(-7 + -1z)(8 + -1z) = 0
Subproblem 1
Set the factor '(-7 + -1z)' equal to zero and attempt to solve:
Simplifying:
-7 + -1z = 0
Solving:
-7 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1z = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1z = 0 + 7
-1z = 0 + 7
Combine like terms: 0 + 7 = 7
-1z = 7
Divide each side by '-1'.
z = -7
Simplifying:
z = -7
Subproblem 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve:
Simplifying:
8 + -1z = 0
Solving:
8 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8
Combine like terms: 0 + -8 = -8
-1z = -8
Divide each side by '-1'.
z = 8
Simplifying:
z = 8
Solution
z = {-7, 8}
Answer:
(-1,-3) and (2,6)
Step-by-step explanation:
Plug x (x value) into equation (outputs y value)
(x value, y value) which gives coordinates
Answer:
The time that pass until only two cookies left is 1.89 hour
Step-by-step explanation:
Given as :
The number of cookies bakes in 2 hours = 3 dozen
∵ 1 dozen = 12 piece
So, In 3 dozen = 12 × 3 = 36 cookies
The Time required to bake 36 cookies = 2 hours
Now, Let The time required to bake 2 cookies = x hour
So, According to question
∵ The time required to bake 36 cookies = 2 hours
So, the time required to bake 1 cookies =
=
hour
∴The time required to bake 34 cookies =
× 34
I.e The time required to bake 34 cookies =
hour = 1.89 hour
Or, the time taken is 1.89 hours
Hence The time that pass until only two cookies left is 1.89 hour Answer