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3 years ago

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 ≥ 1
g(x)=5
x is bigger then 1

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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 sale price=p and the original price is $41.09.

.70

Step-by-step explanation:

sale price= (1-.30)p

sale price=.70p

.70 .70

sale price=p

.70

28.76=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. 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:

1. See how many centimeters are in a meter:

There is 100 centimeters in one meter

2. Multiply each number by 100 to convert the meters to centimeters 

0.98 x 100= 98

0.76 x 100 = 76

3. Subtract to find the difference

98 - 76 = 22

Hence, the blue string is 22 centimeters longer than the yellow string.

have great night! :D

4 0

2 years ago