3 years ago

F(x)= (x-2)(x-3)(x-5) simplify the right side. What is the equation?

Mathematics

1 answer:

Serga [27]3 years ago

5 0

Answer:

x³ - 10x² + 31x - 30

Step-by-step explanation:

Given

(x - 2)(x - 3)(x - 5) ← expand the second pair of factors using FOIL

= (x - 2)(x² - 8x + 15) ← distribute

= x³ - 8x² + 15x - 2x² + 16x - 30 ← collect like terms

= x³ - 10x² + 31x - 30

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melisa1 [442]

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3 years ago

Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)

Aleksandr [31]

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: $\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }$

i) CD= $\sqrt{(4-4)^2 +(-1+5)^2}$

CD= $\sqrt{0+4^2}$

CD=4 units

ii) DE= $\sqrt{(4-2)^{2}+(-5+3)^2 }$

DE= $\sqrt{(2)^2+(-2)^2}$

DE= $\sqrt{8}$

DE= 2 units

iii) ED= $\sqrt{(2-4)^2+(-3+1)^2}$

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ED= $\sqrt{8}$

ED= 2 units

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=8 units

4 0

2 years ago

What is the area of the quartz crystal he was studying, in square feet. Help please

Nataly_w [17]

105 is the answer to this question

6 0

3 years ago

Read 2 more answers

Question 1 : what means to make a fraction as simple as possible? we also call it reducing.

Diano4ka-milaya [45]

This means making the fraction reduced to its lowest term
example=
make the fraction 18xz/4z simpler
the z cancels each other making it remaining 18x/4
2 can go in x as in 18
=9x/2
so the simpler form of the fraction 18xz/4z
=9x/2

4 0

3 years ago

In the inequality 1/ 2 x - 6 > 10, x represents Todd's age. Which phrase most accurately describes Todd's age? A) Todd is old

Tom [10]

Answer:

Option A) Todd is older than 32

Step-by-step explanation:

we have

$\frac{1}{2}x-6>10$

Solve for x

Adds 6 both sides

$\frac{1}{2}x>10+6\\\\\frac{1}{2}x>16$

Multiply by 2 both sides

$x>32$

Todd's age is greater than 32

therefore

Todd is older than 32

8 0

2 years ago