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Citrus2011 [14]
3 years ago
11

Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?

Mathematics
1 answer:
aliina [53]3 years ago
7 0
3.48 x 42.37 = 147.4476
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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se
kolbaska11 [484]

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

3 0
3 years ago
I broke my laptop sorry about the spots
Sergeu [11.5K]

Answer: 3x^2-x+3

Step-by-step explanation:

(4x^2-x+6)-(x^2+3)

Distribute the negative sign. This basically changes all the signs inside the parentheses.

4x^2-x+6-x^2-3

Combine like terms;

3x^2-x+3

7 0
3 years ago
-3 is less than or equal to W and W is less than or equal to 4
ANEK [815]

Answer:

-3 ≤ W ≤ 4

I hope this helps!

8 0
3 years ago
please help ill give brain.liest your supposed to make inequality with the options it gives you in the picture their dragable
cupoosta [38]
Not sure(this might be wrong) but “30>p”
4 0
3 years ago
Read 2 more answers
A hospital prepares a 100mg supply of technetium-99m which has a half-life of 6 hours. what is the decay factor?
SashulF [63]
For a half- life, the formula is
A(t) = A0(0.5)^( t / t_0.5)
where A(t) is the amount of substance at time t
A0 is the initial amount of subtance
t_0.5 is the time it will reduce its amount to half
t is the time

substitute the given to the formula
A(t) = 100(0.5)^( t/6 )
so the decay factor is 0.5^( t/6 )
6 0
3 years ago
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