Which of the following phrases are inequalities?

Mathematics

1 answer:

Wewaii [24]4 years ago

6 0

Answer:

11 > (w- 4)

y < 3

5 + 9 < 5.9

So these are the phrases which are inequalities.

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How do you write this in standard form? (6-7i)/(1-2i)

xenn [34]

$\frac { \left( 6-7i \right) }{ \left( 1-2i \right) } \cdot 1\\ \\ =\frac { \left( 6-7i \right) }{ \left( 1-2i \right) } \cdot \frac { \left( 1+2i \right) }{ \left( 1+2i \right) } \\ \\ =\frac { 6+12i-7i-14{ i }^{ 2 } }{ 1+2i-2i-4{ i }^{ 2 } }$

$\\ \\ =\frac { 6+5i-14\left( -1 \right) }{ 1-4\left( -1 \right) } \\ \\ =\frac { 6+5i+14 }{ 1+4 } \\ \\ =\frac { 20+5i }{ 5 } \\ \\ =\frac { 20 }{ 5 } +\frac { 5i }{ 5 } \\ \\ =4+i$

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3 years ago

One rectangle has a base of 12 inches and an altitude of 6inches, The other has a base of 10 inches and an altitude of 5 inches.

liubo4ka [24]

Sides of first rectangle are 12 inches and 6 inches

and sides of second rectangle are 10 inches and 5 inches

So to find the ration of sides we can do

Ratio of bases = 12/10 = 6/5

Ratio of altitudes = 6/5

Area of first rectangle = base * altitude = 12 *6 = 72 square inches

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3 years ago

Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2, from x=-1 to x=1

borishaifa [10]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2 \qquad 
\begin{cases}
x_1=-1\\
x_2=1
\end{cases}\implies \cfrac{f(1)-f(-1)}{1-(-1)}
\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
\\\\\\
\cfrac{-1+11}{2}\implies \cfrac{10}{2}\implies 5$

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3 years ago

You get your hair done for $56.00 and you tip the hairdresser 20%. How much is your tip?

suter [353]

You get your hair done for $56.00 and you tip the hairdresser $20.00(D)

You have to subtract 56 from 20% than round the answer to the neared tenth.

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If you can run 2/5 of a mile in 1/2 hour, how far can you run in 1 1/2 hours?

forsale [732]

Answer:

1 1/5 or 6/5

Step-by-step explanation:

So you get 2/5 every 1/2 hour so take the amount you have and times it by 3.

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