Answer:
y = cos(x) -1
Step-by-step explanation:
The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.
y = cos(x) -1
we know that
The Zero Product Property states that if
, then either
or
(or both)
we have

rewrite the expression

so



therefore
<u>the answer is the option</u>
x = –3 or x = 2
To find the GCF first list down the prime factors of each number then multiply the factors both have in common, or if the numbers have only one prime factor in common then that's the answer. to find the prime factors of a number just divide the number by prime factors in order.
in this question prime factors of the numbers are,
18=2×2×3
45=3×3×3
90=2×3×3×5
the common factors are 3 and 3. so now multiply 3 by 3= 9
answer=9
hope this helps....
The Venn diagram to illustrate this information is given in the image attached.
<h3>What is the
Venn diagram about?</h3>
The number of children who took plantain and beans only are:
Let beans = a
Rice = b
Plantain = P
So: a + b = 24 - 9 - 5 = 10
Note that 24 children took plantain.
9 children took only Plantain.
5 took the 3 food items.
So:
b + c = 18 -2 - 5 = 11
a + c = 21 - 3 - 5 = 13
P∩B = a + 5
= 6 + 5 = 11
R ∩ B = C + 5
=7 + 5 = 12
None of the three items of food =
50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)
= 50 - 36
=14
Learn more about Venn diagram from
brainly.com/question/2099071
#SPJ1
Answer:
£1300
Step-by-step explanation:
The ratio of their accounts = 3 : 7 = 3x : 7x ( x is a multiplier )
Terry puts £220 in his account, that is 3x + 220
Fay withdraws £300, that is 7x - 300
They now have the same amounts in their accounts, thus
7x - 300 = 3x + 220 ( subtract 3x from both sides )
4x - 300 = 220 ( add 300 to both sides )
4x = 520 ( divide both sides by 4 )
x = 130
Thus
Together they had 3x + 7x = 10x = 10 × 130 = £1300 altogether