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3 years ago

Let f(x) = x 7 and g(x) = x − 4. find f(x) ⋅ g(x).

Mathematics

2 answers:

scoundrel [369]3 years ago

5 0

Answer:

x^2+3x-28

Step-by-step explanation:

(x+7)(x-4) multiply the parentheses

x^2-4x+7x-28 combine like terms

x^2+3x-28

nikklg [1K]3 years ago

4 0

F(x) = x⁷

g(x) = x - 4

f(x).g(x) = x⁷*(x - 4) = x⁸ - 4x⁷

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Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Dahasolnce [82]

Note: you may have unintentionally missed to add the complete question. Therefore, after a little research, I am able to find the complete question which I am attaching to solve your query, which anyways would clear your concept.

The complete Question:

Keenan gives Tisha half of his strawberries. Tisha keeps 4 of the strawberries she got from Keenan and gives the rest to Suvi.

a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.

b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Answer:

Part a)

An expression for the number of strawberries Tisha gives to Suvi will be: $n=\frac{k}{2} -4$

Part b)

Keenan could not have started with 6 strawberries

Step-by-step explanation:

Part a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.

Let $k$ be the total number of strawberries which Keenan has.

So,

$\frac{k}{2}$ is the number of strawberries Keenan gave to Tisha.

As Tisha keeps 4 strawberries and gives the rest to Suvi. Let $n$ be the number of strawberries which Suvi has.

So,

$n=\frac{k}{2} -4$

$\frac{k}{2}=n+4$

$k=2n+8$

Therefore, an expression for the number of strawberries Tisha gives to Suvi will be: $n=\frac{k}{2} -4$

b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.

Considering the expression for the number of strawberries Tisha gives to Suvi

$n=\frac{k}{2} -4$

Putting $k = 6$ in the expression

$n=\frac{6}{2} -4$

Solving the expression

$n=3-4$ ∵ $\mathrm{Divide\:the\:numbers:}\:\frac{6}{2}=3$

$\mathrm{Subtract\:the\:numbers:}\:3-4=-1$

$n=-1$

So, Keenan would have started with 6 strawberries, then Suvi would have -1 strawberries. Since, strawberries cannot be negative as Suvi cannot have negative number of strawberries.

Therefore, Keenan could not have started with 6 strawberries.

Keywords: word problem, expression

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