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Tresset [83]
3 years ago
7

Which expression is equivalent to the expression shown ? 2 (x + 5) +3 (x2 - 5x +13)

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
\text{Use the distributive property:}\\\\a(b+c)=ab+ac

2(x+5)+3(x^2-5x+13)=(2)(x)+(2)(5)+(3)(x^2)-(3)(5x)+(3)(13)\\\\=2x+10+3x^2-15x+39=3x^2-13x+49

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The graph shows which inequality? The equation of the boundary line is y = –x + 4. y –x + 4 y ≥ –x + 4
DaniilM [7]

Answer:

y≤-x+4

Step-by-step explanation:

x intercept =4

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nasty-shy [4]

Part a)

a) The given function is

f(x) = 3 \sin(2x)

We let

y =  3 \sin(2x)

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x=  3 \sin(2y)

Solve for y;

\frac{x}{3}  =  \sin(2y)

y =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

{f}^{ - 1}(x)  =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

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This is because the function is within y=-3 and y=3.

c) The range of

{f}^{ - 1} (x)

is

-  \frac{ \pi}{4}  \leqslant y \leqslant  \frac{\pi}{4}

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Part d) The graph is shown in the attachment.

3 0
3 years ago
X + 24 + 4 + 63 = 180
Helen [10]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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hope this helped!

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We could use the numbers and the difference of the original cost - the end price in a equation.

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The coupon was 30%
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3 years ago
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