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Ostrovityanka [42]
3 years ago
12

Five more than the product of a number and 4 is equal to 8

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

4x+5=8

x=\frac{3}{4}

Step-by-step explanation:

Let

x ---> the number

we know that

The algebraic expression is equal to multiply the number by 4, add 5 and equal 8

so

4x+5=8

Solve for x

subtract 5 both sides

4x=8-5\\4x=3

Divide by 4 both sides

x=\frac{3}{4}

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For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).
Ivanshal [37]

Answer:

\displaystyle F(b + 3) = b^2 + 4b + 7

Step-by-step explanation:

We are given the function:

\displaystlye F(x) = x^2 - 2x + 4

And we want to find F(<em>b</em> + 3).

We can substitute:

\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4

Expand:

\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4

Rearrange:

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Combine like terms. Hence:

\displaystyle = b^2 +4b + 7

In conclusion:

\displaystyle F(b + 3) = b^2 + 4b + 7

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