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Sedaia [141]
2 years ago
14

Malcolm took 18 minutes to do 15 math problems. Diedra took 17 minutes to do 16 math problems. Which student did more problems p

er minute?
Mathematics
1 answer:
boyakko [2]2 years ago
3 0

The student that did more maths problems per minute is Diedra.

In order to determine which student did more maths problems per minute, the rate of each student has to be determined. Rate is the total questions solved divided by the time.

Rate = total questions / total time

Malcolm = 15 / 18 = 0.833 problems per minute

Diedra = 16/ 17 = 0.941 problems per minute

To learn more about rate, please check: brainly.com/question/9834403

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If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)?
goblinko [34]
For this case we have the following functions:
 f(x) = 2x^2 + 3x

g(x) = x - 2
 The first thing we must do is calculate the sum of functions or equivalently:
 (f + g)(x) = f(x) + g(x)

 We have then:
 (f + g)(x) = (2x^2 + 3x) + (x - 2)

 To complete the sum, we must add the terms whose exponents are equal.
 We have then:
 (f + g)(x) = 2x^2 + (3x + x) - 2

(f + g)(x) = 2x^2 + 4x - 2
 Then, we evaluate the function for x = 2:
 (f + g)(2) = 2(2)^2 + 4(2) - 2

 Rewriting we have:
 (f + g)(2) = 2(4) + 4(2) - 2

(f + g)(2) = 8 + 8 - 2

(f + g)(2) = 14
 Answer:
 
(f + g)(2) = 14


4 0
3 years ago
Graph the relation and it's inverse. Use open circles to graph the points of the inverse
joja [24]

Step-by-step explanation:

We are given a set of points (0,3), (4,2), (9,7) and (10,-1) representing a function.

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As we know that, the inverse of a function is reflected by y=x line on the graph.

So, in order to find the inverse we have to replace the co-ordinate (x,y) by (y,x).

Then the points (3,0), (2,4), (7,9) and (-1,10) represents the inverse of the function.

So, after plotting all the points of the function and its inverse, we get the following graph, where figure 1 is of the function and figure 2 is of its inverse.

3 0
3 years ago
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Truncate the decimal expansion of
tamaranim1 [39]

Answer:

Im definitely sure that this is the answer A) 1.8 < 6 < 1.9

3 0
4 years ago
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What does a country need to do to keep a republic, and not fall under the power of a dictator?
Mama L [17]

Answer:

Continue to provide equality for all!

Step-by-step explanation:

When rules and regulations are in place, the government runs smoothly but also people still need to have a voice because without us - there is no government(social contract). We the people(constitution) have the power to prevent a dictator.

Hope this helps:)

7 0
3 years ago
Determine the general solution of:<br><br> sin 3x - sin x = cos2x
SpyIntel [72]
Sin³ x-sin x=cos ² x

we know that:
sin²x + cos²x=1  ⇒cos²x=1-sin²x
Therefore:

sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0

sin³x=z

z³+z²-z-1=0

we divide by Ruffini method:
              1     1     -1     -1
        1           1      2      1                z=1
-------------------------------------
              1     2      1      0
       -1         -1      -1                       z=-1
--------------------------------------
              1     1       0                       z=-1

Therefore; the solutions are z=-1 and z=1

The solutions are:
if z=-1, then
sin x=-1   ⇒x= arcsin -1=π+2kπ    (180º+360ºK)   K∈Z


if z=1, then
sin x=1   ⇒ x=arcsin 1=π/2 + 2kπ   (90º+360ºK)   k∈Z

π/2 + 2kπ    U   π+2Kπ=π/2+kπ     k∈Z    ≈(90º+180ºK)

Answer: π/2 + Kπ    or     90º+180ºK          K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
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3 years ago
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