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Luda [366]
2 years ago
5

For the function defined by:

Mathematics
1 answer:
Eva8 [605]2 years ago
7 0

The first function is represented by the green line, while the second is represented by the orange line

<h3>What are piecewise functions?</h3>

Piecewise functions are functions that have at least 2 sub functions, each of which have different intervals

The function is defined by

f(x) = \left \{ {{x^2,\ x\le1} \atop {2x + 1,\ x > 1}} \right.

<h3>(a) Graph the first function</h3>

The first function in f(x) is defined by

f(x) = x^2, \ x \le 1

See attachment for the graph of the first function

<h3>(b) Graph the second function</h3>

The second function in f(x) is defined by

f(x) = 2x + 1, \ x > 1

See attachment for the graph of the second function

Read more about piecewise functions at:

brainly.com/question/18859540

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0.03x+0.035 (5000-x)=155
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Margo drove for 3.85 at an average speed of 61.4. Estimate the total distance that she drove.
makkiz [27]

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3 0
4 years ago
Solve the proportion<br><br> 36/17=41/x<br> what is x
algol [13]

Answer:

x=19.36111..

Step-by-step explanation:

to get this you would cross multiply

the equation: 36/17=41/x

which you do 36 * x = 17 * 41

divide each side by 36 to cancel it out and leave you with x

giving you (17*41)/36

do this in a calculator...

you get x=19.3611

4 0
4 years ago
Solve the problem.A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course. At that t
Mice21 [21]

Given:

A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.

The distance between plan and mountain is 10 km.

A short time later, the bearing to the mountain becomes 45°.

Here NM is the distance between the plane from the mountain when the second bearing is taken.

We need to find the measure of NM.

We\text{ know that }\angle INM\text{ and }\angle\text{XNM are supplementary angles.}

The sum of the supplementary angles is 180 degrees.

\angle INM+\angle XNM=180^o\text{Substitute }\angle XNM=45^o\text{ in the equation.}

\angle INM+45^o=180^o

\angle INM=180^o-45^o

\angle INM=135^o

We know that the sum of all three angles of the triangle is 180 degrees.

\angle INM+\angle NIM+\angle INM=180^o\text{Substitute }\angle INM=135^o\text{ and }\angle NIM=35^o\text{ in the equation.}

135^o+35^o+\angle INM=180^o

170^o+\angle INM=180^o

\angle INM=180^o-170^o

\angle INM=10^o

Consider the sine law.

\frac{\sin N}{IM}=\frac{\sin M}{IN}=\frac{\sin I}{NM}

Take the equation to find the measure of NM.

\frac{\sin N}{IM}=\frac{\sin I}{NM}\text{Substitute }\angle N=135^o,\angle I=35^o,\text{ and IM=10 in the equation.}

\frac{\sin 135^o}{10}=\frac{\sin35^o}{NM}

NM=\frac{\sin 35^o}{\sin 135^o}\times10NM=8.11

Hence the measure of NM is 8.1 km.

The plane is 8.1 km far from the mountain when the second bearing is taken.

5 0
1 year ago
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