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3 years ago

14

matt rode his bike to the store by traveling 5 km east and the 3 km north. what distance (a) did he travel? and what was his dis

placement (b)?

1 answer:

slamgirl [31]3 years ago

8 0

A = 5 km is your distance it is how far he traveled.

b = 3 km is your displacement it's the length in which he when north.

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3 years ago

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3 years ago

Read 2 more answers

Factor completely 2x2 − 6x − 36.

gavmur [86]

To factor out completely, we should have reached the most simplified form,
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then we should factor out the inside of the parenthesis,
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And that's the most simplified and factored out form.

The final answer is then the second option, <span>2(x − 6)(x + 3)</span>

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3 years ago

Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

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$a=2$

so

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Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$

3 0

3 years ago