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3 years ago

5x=-y+6 solve for y when x =1,2,3

2 answers:

6 0

When x = 1
5(1) = -y + 6
5 = -y + 6
y = 6 - 5 = 1

When x = 2
5(2) = -y + 6
10 = -y + 6
y = 6 - 10 = -4

When x = 3
5(3) = -y + 6
15 = -y + 6
y = 6 - 15 = -9

creativ13 [48]3 years ago

4 0

Test 1 in for x

5(1)= -y +6
5= -y+6
Subtract 6 from both sides

-1 = -y

Divide by -1 to get 1=y

x=2
5(2)= -y +6
10= -y+6

Subtract 6 from both sides
4= -y

Divide by -1

-4=y
---------------------------
X=3
5(3)= -y +6
15= -y +6

Subtract 6 from both sides
9= -y

Divide by -1
-9 = y

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sheldon bought 4 1/2 kg of plant food. he uses 1 2/3 kg on his strawberry plant and used 1/4 kg for his tomato plant. how many k

fenix001 [56]

Answer:

Sheldon have left $2\frac{7}{12}\ kg$ of food.

Step-by-step explanation:

Quantity of food = $4\frac{1}{2}=\frac{9}{2}$ kg

Quantity used on strawberry plant = $1\frac{2}{3} = \frac{5}{3}\ kg$

Quantity used on tomato plant = $\frac{1}{4}\ kg$

Food left = Total - used on strawberry - used on tomato

Food left = $\frac{9}{2}-\frac{5}{3}-\frac{1}{4}$

Food left = $\frac{54-20-3}{12} = \frac{31}{12}$

Food left = $2\frac{7}{12}\ kg$

Therefore,

Sheldon have left $2\frac{7}{12}\ kg$ of food.

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2 years ago

I think it’s A am I right

Mandarinka [93]

Pi(r)(r)(2) + pi(diameter)(height)

3.14(4)(4)(2)+ 3.14(8)(1.5)

138.16

4 0

3 years ago

Read 2 more answers

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Alex777 [14]

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4 0

2 years ago

by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .

konstantin123 [22]

Answer:

$\frac{1}{44} \approx0.0227\hspace{3}units$

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

$D_uf(x,y,z)=\nabla f\bullet u$

$\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector$

The gradient of f is:

$\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle$

The unit vector can be found as:

$u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle$

The directional derivative at the point is:

$D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}$

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

$\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units$

6 0

3 years ago

I need to know how to find the slope of the line for #2

son4ous [18]

Slope formula : (y2 - y1) / (x2 - x1)
now pick 2 points on ur line...
(1,2)......x1 = 1 and y1 = 2
(3,0)......x2 = 3 and y2 = 0
now sub
slope = (0 - 2) / (3 - 1) = -2/2 = -1 <== ur slope is -1

3 0

3 years ago