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
I hope this helps. In in 7th grade, but this is what I think would help! The volume of a rectangular prism equation is vplume =length × width × height. Or volume = area of the base (B) × height. That is volume. Surface area is Surface Area = LW×LW×LH×LH×HW×HW. That is for a rectangular prism.
The only thing that you need to do is Divide -2 on both sides to isolate the M. so 7/-2 M=3.5
A circle has a total number of 360 degrees, so you would divide 360 by 8, and that would tell you how many degrees each slice is:
360 / 8 = 40
After that, you would subtract 3 from 8 to show that there are 5 pieces left:
8 - 3 = 5
which you would then multiply by 40 because each slice is 40 degrees, so you would get an answer of
5 x 40 = 200 degrees.
Price for a radio = $ 40 for supply 90 radios in a month.
Ratio of increase in price to the number of radios supplies in a month 4:8 that is 1:2.
New unit price given = $76.
Difference in unit price given in starting and New unit price = 76-40=$36
So, increase in unit price = $36.
Let us assume number of supplied increased = x radios for increase in unit price $36.
So, we can setup a perportion as,
1/2 = 36/x.
On cross multiplication, we get
1*x = 2*36
x= 72.
So, 72 is the increased number of radios in 90 radios.
That is 72+90 = 162 radios each month.
Therefore, 162 radios are supplied if their per unit price is $76.
