The distance between -4/12 and 9 is
-369/2
Step 1 :
41
Simplify ——
2
Equation at the end of step 1 :
41
((((0 - ——) • a) • n) • d) • 9
2
Step 2 :
Final result :
-369and
———————
2
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Answer:
Step-by-step explanation:
Given expression:
(w)(3w + 5) = 0
Expand the parentheses;
3w² + 5w = 0
3w² = -5w
Divide both sides by w;
3w = - 5
w =
Leah has 5 meters of cloth in total, because she has a total of 5 friends which means when divided equally, she has given each friend 1 meter of cloth.
The student Government wants to make a profit of at least $3000 from a magazines sales. At least $3000 simply means the profit should be $3000 and above.
There profit is $1.25 per magazine(m) subscription sold.
Their expenses are as follows
advertisement in school = $100
advertisement in community = $150
let
m = number of magazine sold
profit = selling price - cost price
selling price
Cost price
Therefore,
