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Korolek [52]
3 years ago
6

In solving \\(x^{2}=3\\) we obtain _______

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

For this case we must solve the following equation:

x ^ 2 = 3

So we have to:

Applying square root to both sides of the equation:

x = \pm \sqrt {3}

Thus, we have two roots:

x_ {1} = \sqrt {3} = 1.7321\\x_ {2} = - \sqrt {3} -1.7321

Answer:

x_ {1} = 1.7321\\x_ {2} = - 1.7321

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Sasha is making some shelves which are 75.5 cm long. If the wood she is using is 180 cm long, how many pieces will she need to m
anzhelika [568]

Answer:

3

Step-by-step explanation:

Since the shelves are 75.5cm long, the total length she would be needing is 75.5cm × 6 = 453cm

Now, the length of the wood she is using is 180cm, to get enough length to make the shelves, we would need to divide 453cm by 180cm which gives a value of around 2.51

This is approximately equal to 3 when rounded up to the nearest whole number.

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%7Bx%7D%20" id="TexFormula1" title="f(x) = \sqrt{x} " alt="f(x) =
Georgia [21]

Answer:    \dfrac{1}{2\sqrt x}

<u>Step-by-step explanation:</u>

\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}

f(x) = \sqrt x\\

f(x+h) = \sqrt{x+h}

\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}

                   =\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)

                   =\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}

                   =\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}

                   =\dfrac{1}{\sqrt{x+h}+\sqrt x}

                  =\dfrac{1}{\sqrt{x+0}+\sqrt x}

                  =\dfrac{1}{2\sqrt x}

4 0
3 years ago
HELP what number is equal to -9 x(-1/3) A.-27 B.-3 C.3 D.27
gladu [14]

Answer:

The correct answer is letter C

Step-by-step explanation:

3 0
2 years ago
Which function is equivalent to <br> y = 3(x + 2)2 + 7 ?
Troyanec [42]

Step-by-step explanation:

<u>Our function:</u>

y = 3(x + 2)^{2}  + 7

<u>Include the exponent:</u>

y = 3(x^{2}  + 4) + 7

<u>Use the Distributive Property:</u>

y = 3 {x}^{2}  + 12 + 7

<u>Add:</u>

\boxed{y = 3 {x}^{2}  + 19}

5 0
2 years ago
The # of taxi accidents is approximated by y = -143.3x^2 + 1823.3x + 6820 and the # of injuries is approximated by y = -416.72x^
irinina [24]
If 1990 is x = 0, then 1997 is x = 7.
Use x = 7 in the equation for the number of taxi accidents.
3 0
3 years ago
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