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Paladinen [302]
2 years ago
7

Which line passes through the origin?

Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0

Answer:

c. y=-3x

Step-by-step explanation:

Plug in x=0 and y=0.

0=-3(0)

0=0...the origin

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A shoe store by packs of socks wholesale for $5 each and marks up by $40. The store decides to discount the packs of the socks b
Tpy6a [65]

Answer:

No

Step-by-step explanation:

Price after the socks is marked up = $40 + $5 = $45

If the sock is discounted by 40%, the price of the socks would be 60% of the original price

0.6 x $45 = 27

The discounted price is $27

6 0
3 years ago
9. Change the given equation to the form y = mx + b. Give the values of b and m.
rosijanka [135]
X+4y=16
subtract x
4y = -x+16
divide 4 from 4y and divide by 4 on other side too
(4y/4) = (-x/4) + (16/4)

y=-1/4x+4
M=-1/4
B=4
8 0
2 years ago
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multi
Gnoma [55]

Answer:

The inequality sign remains same while multiply or divide both sides by positive numbers.

The inequality sign changes while multiply or divide both sides by negative numbers.

Step-by-step explanation:

The given inequality is - 8 < 2.

Now, if we multiply 2 in both sides then - 16 < 4

Again, if we divide by 2 into both sides then  - 4 < 1

Therefore, the inequality sign remains the same while multiply or divide both sides by positive numbers.

Now, if we multiply -2 in both sides then 16 > -4

And, if we divide -2 into both sides then 4 > -1

Therefore, the inequality sign changes while multiply or divide both sides by negative numbers. (Answer)

3 0
3 years ago
Read 2 more answers
Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results
Andrews [41]

Answer:

Step-by-step explanation:

Given that,

g(x, y) = 5 - (x - 3)² - (y + 2)²

Let find the grad of the function,

The grad of a function is defined as

∇g= ∂g/∂x •i + ∂g/∂y •j + ∂g/∂z •k

∇g = gx•i + gy•j + gz•k

gx = -2(x-3) = -2x+6

gy = -2(y+2) = -2y -4

∇g = (-2x+6) •i + (-2y-4)•j

We have a maximum or a minimum If g conservative, then, ∇g = 0i +0j

Then comparing this to the grad of the function

(-2x+6) •i + (-2y-4)•j = 0i +0j

Then, -2x+6 = 0

2x=6

x = 3

Also, -2y-4=0

-2y=4

y = -2

Then, g(x, y) = 5 - (x - 3)² - (y + 2)²

g(x, y) = 5 - (3 - 3)² - (-2 + 2)²

g(x, y) = 5

So the critical point is (3, -2, 5)

gx =-2x+6

Second derivative of gx with respect to x

gxx=-2

gy=-2y-4

Second derivative of gy with respect to y

gyy=-2

Second derivative of gx with respect to y

gxy =0

d =gxxgyy - (gxy)²

Then, gyy=gxx

d = -2×-2 -0²

d = 4-0=4

Since d>0

Since d is greater than 0, then, it is not a chair points.

Then, since gxx=-2<0, gyy=-2<0

Cause the second derivative in x (or in y) is less than zero, then the point is relatively maximum

So the maximum point is (3, -2, 5).

6 0
3 years ago
Solve for r. <br><br> √2/3r + 1 = 23
Keith_Richards [23]

Answer:

2nd option

Step-by-step explanation:

\frac{\sqrt{2} }{3} r + 1 = 23 ( subtract 1 from both sides )

\frac{\sqrt{2} }{3} r = 22 ( multiply both sides by 3 to clear the fraction )

\sqrt{2} r = 66 ( divide both sides by \sqrt{2} )

r = \frac{66}{\sqrt{2} } × \frac{\sqrt{2} }{\sqrt{2} } ( rationalising the denominator )

r = \frac{66\sqrt{2} }{2} = 33\sqrt{2}

7 0
2 years ago
Read 2 more answers
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