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g100num [7]
3 years ago
5

Draw the graph of g(x) = 2x + 3, if x ≥ 1 g(x) = 5, if x > 1

Mathematics
1 answer:
trapecia [35]3 years ago
6 0
G(x)=2x+3
x <span>≥ 1
g(x)=5
x is bigger then 1

</span>
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Maria bought a blouse on sale for 30% off. The sale price was $28.76. What was the original price? Write an equation to model th
Snowcat [4.5K]

Answer:

The equation is <u>sale price</u>=p and the original price is $41.09.

                              .70

Step-by-step explanation:

sale price= (1-.30)p      

<u>sale price=.70</u>p

.70              .70

<u>sale price</u>=p                  

.70

<u>28.76</u>=p

.70

$41.09=p

7 0
3 years ago
I need to find side x in its simplest radical form using the special right triangles method
crimeas [40]

Answer:

\sqrt{6}

Explanation:

From the given diagram,

Hypotenuse sde = x

Opposite side = \sqrt{3}

Using the SOH CAH TOA identity

Sintheta = opposite/hypotenuse

Sin 45 = \sqrt{3}/x

x = \sqrt{3}/sin45

\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}

Hence the value of x is \sqrt{6}

5 0
1 year ago
If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).
Cloud [144]

Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

Therefore,

\cos( \frac{\pi}{2} -  \theta )  = 0.97

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B3%20%2B%2011i%7D%20" id="TexFormula1" title=" \frac{6}{3 + 11i} " alt=" \f
Lorico [155]

(3+11i)/(3+11i)=1

So that means you can multiply 6/(3+11i) by (3+11i)/(3+11i)

Then 6(3+11i)/1

= 18+66i

7 0
3 years ago
The blue string is 0.98 meters long. The
Yuliya22 [10]

Answer:

22 centimeters

Step-by-step explanation:

<em>1. See how many centimeters are in a meter:</em>

There is 100 centimeters in one meter

<em>2. Multiply each number by 100 to convert the meters to centimeters </em>

0.98 x 100= 98

0.76 x 100 = 76

<em>3. Subtract to find the difference </em>

98 - 76 = 22

<u>Hence, the blue string is 22 centimeters longer than the yellow string.</u>

<u><em>have  great night! :D</em></u>

4 0
2 years ago
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