Answer:
x = -3, 
Step-by-step explanation:
The given quadratic equation is: 
This can be written as: 
To solve a quadratic equation of the form 
we use the formula:
Here, a = 2; b = 3; c = - 9
Therefore, the roots of the equation are:
We get two values of 'x', viz.,
x = 
and 
⇒ x = -3, 3/2
Since the factors of the quadratic equation is asked, we write it as:
(x + 3)(x - ) = 0
because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.
Multiply (x + 3) and (x - to see that this indeed is the given quadratic equation.
Answer:
36 36 32
Step-by-step explanation:
Answer:
See the detailed answers below
Step-by-step explanation:
Given data
Ratio= 1:4:7
combined ratio= 1+4+7= 12
Total amount= $636,000
Apply the part to all method
The first person will take
1/12= x/ 636,000
cross multiply
12x= 636,000*1
x= 636,000/12
x= 53000
The second person will take
4/12= x/ 636,000
cross multiply
12x= 636,000*4
x= 2544000/12
x= 212000
The third person will take
7/12= x/ 636,000
cross multiply
12x= 636,000*7
x= 4452000/12
x= 371000
Q1: The answer is A. pyramid.
A pyramid has one polygon base. A prism has two polygon bases. A cone has one circular base. A cylinder has two circular bases.
Q6: The answer is false.
Surface area of a rectangular prism is:
A = 2(wl + hl + hw)
A1 = 2(4*5 + 6*5 + 6*4) = 2(20+30+24) = 2*74 = 148
A2 = 2(6*4 + 5*4 + 5*6) = 2(24+20+30) = 2*74 = 148
Q7. The answer is A. 6 feet
The volume of rectangular prism is:
V = w * l * h
w = ?
So, just replace the knowing facts:
288 = w * 8 * 6
288 = w * 48
w = 288/48 = 6
Q8: The answer is 216 ft³
The volume of the cube is:
V = a³
Since a = 6, then:
V = 6³ = 216
