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blagie [28]
3 years ago
8

Can you help me solve this problem? Also please show your work.

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

x>=-1, B

Step-by-step explanation:

1. distribute 2 to get 7+x <= 2x+6+2

2. simplify to get 7+x <= 2x+8

3. subtract 7 on both sides to get x<=2x+1

4. subtract x on both sides to get 0 <= x+1

5. subtract 1 on both sides to get x >= -1

B fits this description

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What is the contra positive of the statement if 9x=27, then x=3
Karo-lina-s [1.5K]

Answer:

If 9x is not =27, then x is not =3

Step-by-step explanation:

Going out on a limb here, please ignore if I'm missing it:

If 9x is not =27, then x is not =3

(I can't type the equal sign with a slash through it.)

7 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
Which scatterplot has a correlation coefficient closest to r= 1?
Ksju [112]

Answer:

-1

Step-by-step explanation:

in statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. To interpret its value, see which of the following values your correlation r is closest to: Exactly –1.

hope this help

4 0
3 years ago
Read 2 more answers
1. What is the spinning mo tion of the earth called? = rotation
Tasya [4]

Answer:

<u><em>Rotation and Revolution are two motions of the earth.</em></u>

Step-by-step explanation:

The description is in the image below:

5 0
3 years ago
7/6 - (1/4 + 1/3) =??
Hitman42 [59]

Answer:

7/12

Step-by-step explanation:

7/6 - (1/4 + 1/3) =

7/6 - 1/4 - 1/3 = 14/12 - 3/12 - 4/12 = 7/12

7 0
3 years ago
Read 2 more answers
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