Answer:
80 minutes
Step-by-step explanation:
(3/4)/30=2/x
cross product
30*2=(3/4)x
60=3/4x
x=60/(3/4)
x=(60/1)(4/3)
x=240/3
x=80
X² - 21x + 110
first you break it up into two parenthesis & since x is squared you need two x's
since 110 is positive and 21 is negitive, both of your signs need to be negitive
(x - ?)(x - ?)
then you need to think! what are the factors of 110?
Which of these factors add up to 21? those factors go in the parenthesis
Does this Help? Let me know if you need anything!
i. 171
ii. 162
iii. 297
Solution,
n(U)= 630
n(I)= 333
n(T)= 168
i. Let n(I intersection T ) be X

<h3>ii.
n(only I)= n(I) - n(I intersection T)</h3><h3>
= 333 - 171</h3><h3>
= 162</h3>
<h3>
iii. n ( only T)= n( T) - n( I intersection T)</h3><h3>
= 468 - 171</h3><h3>
= 297</h3>
<h3>
Venn- diagram is shown in the attached picture.</h3>
Hope this helps...
Good luck on your assignment...
Answer: x= -6; y= -1
Step-by-step explanation:
-4x + y = 23
4x - 9y = - 15
-4x + y = 23
y = 23 + 4x [Add 4x to both side]
4x - 9(23 + 4x) = - 15
4x - 207 - 36x = - 15
-32x - 207 = -15
-32x = 192 [Add 207 to both side]
x = -6 [Divide -32 from both side]
-4x + y = 23
-4(-6) + y = 23 [Plug in -6 for x]
24 + y = 23 [Subtract 24 from both side]
y = -1
Answer:
x = 3, x = 0
Step-by-step explanation:
To solve these factored equations, just divide each part by zero and solve.
2x(x-3) = 0 → (x-3) = 0, and 2x = 0.
(x-3) = 0 → x - 3 + 3 = 0 + 3 → <u>x = 3.</u>
2x = 0 → 2x/2 = 0/2 → <u>x = 0.</u>