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iren [92.7K]
3 years ago
6

Use the chart to multiply the binomial by the trinomial. Which polynomial is the correct product?

Mathematics
2 answers:
Alex777 [14]3 years ago
4 0

Answer:  6y^3 + 17y^2 + 22y + 15

Step-by-step explanation:

Here, the given expression, (2y+3). (3y^2+4y+5)

By applying distribution property in second bracket,

=  3y^2(2y+3)+4y(2y+3)+5(2y+3)

=  6y^3+9y^2+8y^2 +12y+10y+15 ( again by applying distributive property)

= 6y^3+17y^2 +22y+15  ( by adding like terms)

Thus, (2y+3). (3y^2+4y+5)= 6y^3+17y^2 +22y+15


oksano4ka [1.4K]3 years ago
3 0
The awnser is :
6y^3 + 17y^2 + 22y + 15
Hope it helps
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4 years ago
Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.
ollegr [7]

Answer:

k=5

Step-by-step explanation:

step 1

Find the equation of the line f(x)

we have the points

(-4,0) and (-2,2)

<em>Find the slope m</em>

m=(2-0)/(-2+4)\\m=1

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=1\\(-4,0)

substitute

y-0=(1)(x+4)

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f(x)=y

so

f(x)=x+4

step 2

Find the equation of the line g(x)

we have the points

(-4,0) and (-2,-10)

<em>Find the slope m</em>

m=(10-0)/(-2+4)\\m=5

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=5\\(-4,0)

substitute

y-0=(5)(x+4)

y=5(x+4)

Remember that

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Remember that

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6 0
4 years ago
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