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gayaneshka [121]
3 years ago
8

Simplify (3 - √7)(5 + √7)

Mathematics
2 answers:
dezoksy [38]3 years ago
6 0
(3-√7)(5+√7)
FOIL
F-Multiply the First to numbers 3×5=15
O-Multiply the Outter two numbers 3×√7=3√7
I-Multiply the Inner two numbers -√7×5=-5√7
L-Multiply the last two numbers -√7×√7=-7
Put it together and you get
15+3√7-5√7-7
Combine the like terms 15-7=8 and 3√7 - 5√7=-2√7
And you get 8-2√7
MaRussiya [10]3 years ago
3 0
You can use F.O.I.L. for this, which if you don't know stands for first outer inner last, so multiply the first in each parentheses, then the outer, then the inner, then the last. yours would be 3*5+3*√7+(-√7)*5+(-√7)*√7 => 15+3√7-5√7-7 => 8-2√7
Final answer:
8-2√7
Hope I could help :)
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The piece-wise linear functions can be written as follows:

  • f(x) = x, x \leq -2.
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<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

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For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

f(x) = x, x \leq -2.

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

f(x) = -x - 7, -2 < x \leq 1.

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

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The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

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MariettaO [177]
Hello

The correct number would be 0.8333

Have a nice day
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Step-by-step explanation:

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