Tomorrow than 4 times a number is -18
1 answer:
Answer: -5
Step-by-step explanation:
im going to assume tomorrow means Two more.....
brilliant.
lets do opposite calculations to both sides. what is the opposite of 2? negative 2. so lets subtract 2 from both sides.
we get
ok so now we have 4 times x. what is the opposite of this? 4 DIVIDED BY x.
ok now lets do the same to the other side. what is negative 20 divided by 4?
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Answer:
see explanation
Step-by-step explanation:
(a)
x² - 36 = 0 ← is a difference of squares and factors as
(x - 6)(x + 6) = 0
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 6 = 0 ⇒ x = 6
(b)
x² - 5x + 4 = 0
consider the product of the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
(x - 1)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 4 = 0 ⇒ x = 4
(c)
x² - 2x = 3 ( subtract 3 from both sides )
x² - 2x - 3 = 0 ← in standard form
consider the product of the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)
the factors are + 1 and - 3 , since
1 × - 3 = - 3 and 1 - 3 = - 2 , then
(x + 1)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
(d)
6x² - 11x - 10 = 0
consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 6 × - 10 = - 60 and sum = - 11
the factors are + 4 and - 15
use these factors to split the x- term
6x² + 4x - 15x - 10 = 0 ( factor the first/second and third/fourth terms )
2x(3x + 2) - 5(3x + 2) = 0 ← factor out (3x + 2) from each term
(3x + 2)(2x - 5) = 0
equate each factor to zero and solve for x
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = -
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
well, we know the tree is growing at a rate of 36 feet every 3 years, how many feet is that in 1 year alone? well, simply 36/3 = 12.
so the tree is growing 12 feet per year.
when it was first planted, it was 5 feet tall, and then after every year, we have to add 12 feet subsequently, let's do that
year 1 .......... 5 + 12(1)
year 2 .......... 5 + 12(2)
year 3 .......... 5 + 12(3)
year 4 .......... 5 + 12(4)
year 5 .......... 5 + 12(5)
year 6 .......... 5 + 12(6)
year 7 .......... 5 + 12(7)
year y .......... 5 + 12(y)
Answer:
I am very very very sorry if this is incorrect, this did not make much sense to me! :(
Step-by-step explanation:
