Multiply through by 7:-
3x - 14 = 105
3x = 119
x =119/3 = 39 2/3
Answer:
Constant of Proportionality is k = y/x
Step-by-step explanation:
k = 0.5/1 = 0.5
Answer:
nCr = n! / (r!)(n-r!).
Step-by-step explanation:
That would be nCr = n! / (r!)(n-r!).
A quick way of working these out is as follows:
Take 7C4:
this is 7*6*5*4/4*3*2*1 Cancelling out the 4 and 3*2:
= 7*5
= 35.
15C12 = 15C(15-12)
= 15C3
= 15*14*13 / 3*2*1
= 5*7*13
= 455.
Answer:
Scale factor = ½
Step-by-step explanation:
The original image is the preimage = ∆ACB
The new image is the image = ∆DFE
The scale of factor of dilation = image/preimage = DF/AC
DF = 6 cm (given)
AC = 12 cm (given)
Plug in the values into the equation to find the scale factor of dilation:
Scale factor = 6/12
Scale factor = ½
<u>Corrected Question</u>
The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P). Which is represented by Ø?
(A) O ⋃ P (B)E ∩ P (C)O ⋃ E (D)E ∩ O
Answer:
(D) E ∩ O
Step-by-step explanation:
The Venn diagram is reproduced and attached below.
In the Venn diagram, the sets of Odd(O) and Even(E) numbers are disjoint, i.e. there is no intersection.
We can also say the intersection of sets O and E is the empty set.
Therefore: E ∩ O is represented by the empty set Ø.
Generally speaking, a number cannot be even and odd at the same time.
The correct option is D