I need help with this

Mathematics

1 answer:

Likurg_2 [28]3 years ago

6 0

Answer:

I think it is the first one

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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

If marching bands vary from 21 to 49 player, which numbers of players can be arranged in the greatest number of rectangles?

ANEK [815]

Hmm. a rectangle?ok then, least number of rectangles needed-6.
. . .
. . . ( rectangle)
so, 6 x 8=48(greatest multiple of 6 from between 21 and 49)
48 players are most, so 8 rectangles

5 0

3 years ago

What is the x-intercept of the graph of the function f(x)=x2-16x+64?

Katena32 [7]

X=8

Explanation:
f(x)=x^2-16x+64+(x-8)^2

You see there is a double x- intercept by the 8. So the parabola is tangent to the x axis. So x=8 f(x)=0

hope this helps <span />

3 0

3 years ago

Read 2 more answers

Help Or Else I wiLl TrOw YoU INto A ToLiet

bonufazy [111]

Answer:

n o

Step-by-step explanation:

I refuse to help. punish me and put me in the toilet

jk lol

3 0

3 years ago