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makvit [3.9K]
3 years ago
14

Nicolas has three fewer than twice the number of songs downloaded as Sabrina does. Interpret the meaning of the expression 2x –

3. The expression 2x – 3 represents The variable x represents
Mathematics
2 answers:
Setler79 [48]3 years ago
7 0
The x represents how many songs Sabrina has because if you are saying Nicolas has three less than twice as many as her then you are doubling the amount of songs Sabrina has and you're subtracting 3 from that to get how many songs Nicolas has. Let's say Sabrina has 29 songs. Now we are trying to find out how many songs Nicolas has. 2x-3. 2(29) - 3. 58-3. Nicolas has 55 songs if Sabrina were to have 29. I really hope this helped :)
tino4ka555 [31]3 years ago
7 0

Interpret the meaning of the expression 2x – 3. The expression 2x – 3 represents The variable x represents:

Answer;

<u><em>The expression 2x - 3 represents the number of songs downloaded by Nicolas.</em></u>

<u><em>The variable x represents the number of songs downloaded by Sabrina.</em></u><em> </em>

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What is the area of this tile?
Lady bird [3.3K]

Answer:

480 in.

Step-by-step explanation:

10 in. × 8 in. × 6 in. = 480 in.

4 0
3 years ago
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the
solong [7]

Answer:

<h2>a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0
3 years ago
The graph shows the amount of money the drama club raised based on the number of sweatshirts sold.
lawyer [7]
The independent variable is the number of sweatshirts sold so it is answer A.

(Money raised is the dependent variable because it depends on the number of sweatshirts sold.)
7 0
3 years ago
Read 2 more answers
Aflati al 2013 lea termen al unei progresii aritmetice cu termenul al treilea egal cu 12 si diferenta a doi termeni consecutivi,
KATRIN_1 [288]

Răspuns:

8052

Explicație pas cu pas:

Al treilea termen al unei progresii aritmetice:

T (n) = a + (n - 1) d

Unde ;

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Al treilea (3) termen:

T (3) = a + (3-1) 4

T (3) = 12

12 = a + 2 (4)

12 = a + 8

12 - 8 = a

4 = a

Prin urmare, primul termen = a

Al 2013-lea mandat;

T (2013) = a + (2013-1) d

T (2013) = 4 + (2012) 4

T (2013) = 4 + 8048

= 8052

4 0
2 years ago
Help! If anyone knows thanks
DerKrebs [107]
A:
2t
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b:
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