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2 years ago

Which equation represents a linear function that is proportional?

Mathematics

2 answers:

Thepotemich [5.8K]2 years ago

7 0

Answer is A. Can rule out b and c. Also d isn't proportional

BabaBlast [244]2 years ago

6 0

Answer:

A) f(x) = 1/3x

Step-by-step explanation:

You can rule out B and C-

B is a quadratic function, seeing as how x is being squared, and C is an absolute value function. Neither of these are linear so you don't have to worry about it here.

That leaves us with A and D, which are both linear.

Linear functions usually take the form of f(x) = mx + b. In a proportional linear function, b = 0.

So with that in mind, you should see that the b value for f(x) = 2x + 11 is 11, which should rule D out as well.

That leaves you with f(x) = 1/3x. As you can see, there's no b value in this function, which means b = 0 and the function is proportional.

Hope this helped :D

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Express 100,000 as a power of 10

Vedmedyk [2.9K]

Answer:

10^5

Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.

7 0

2 years ago

Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

Degger [83]

Answer:

$A=73.8\°$

$B=8.2\°$

$c=76.3\ units$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)$

substitute the given values

$c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)$

$c^{2}=5,823.5738$

$c=76.3\ units$

step 2

Find the measure of angle A

Applying the law of sine

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}$

$sin(A)=(74)sin(98\°)/76.3$

$A=arcsin((74)sin(98\°)/76.3)$

$A=73.8\°$

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

5 0

3 years ago

the taco truck sells tacos for $3 and burritos for $4. the number of items sold on a tuesday is 125 with a total income of $430.

butalik [34]

Answer:

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

3 T + 4 B =425

T + B = 125

Where T is the number of tacos sold, and B is the number of burritos sold.

Multiplying the second equation by 3, and subtracting it to the first equation:

3 T + 4 B =425

3T + 3B = 375

___________

B =50

Replacing B in any equation:

T + B = 125

T +50 =125

T =125-50

T = 75

Feel free to ask for more if needed or if you did not understand something.

5 0

2 years ago

What is 26% of 50?<br> plz help

galben [10]

Answer:

Step-by-step explanation:

50 multiplied by .26

6 0

2 years ago

15* Que Equations of lins - Part

Phantasy [73]

There is not a given equation nor ordered pair, so it is impossible to answer this question. I apologise.

4 0

3 years ago