What multiplies to 14 but adds to negative 4?

Answers

Answer 1

Answer: xy 14
x + y = -4

x + y = -4
x - x + y = -x - 4
y = -x - 4

xy = 14
x(-x - 4) = 14
  x(-x) - x(4) = 14
-x² - 4x = 14
-x² - 4x - 14 = 0
-1(x²) - 1(4x) - 1(14) = 0
-1(x² + 4x + 14) = 0
-1 -1
x² + 4x + 14 = 0
x = -(4) ± √((4)² - 4(1)(14))
2(1)
x = -4 ± √(16 - 56)
  2
x = -4 ± √(-40)
  2
x = -4 ± 2i√(10)
2
x = -2 ± i√(10)

  x + y = -4
-2 ± i√(10) + y = -4
- (-2 ± i√(10)) - (-2 ± i√(10))
y = -2 ± i√(10)
(x, y) = (-2 ± √(10), -2 ± √(10))

The two numbers that multiply to 14 and add up to -4 are -2 ± i√(10).

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What is if g(x,y,z) = x + y and S is the first octant portion of the plane 2x + 3y + z = 6 ?

Answers

The question asks for the value of $I=\int\int_Sx+y\textrm{ }dS$ where $S=\{(x,y,z)\mid2x+3z+y=6,x\ge0,y\ge0,z\ge0\}$ .

First let's look at what that surface looks like.

Letting $y=z=0$ yields $x=3$
Letting $x=z=0$ yields $y=2$
Letting $x=y=0$ yields $z=6$

Therefore $S$ is the area of the triangle defined by the three points $(3,0,0),(0,2,0),(0,0,6)$ .

We can thus reformulate the integral as $I=\int_(z=0)^6\int_(x=0)^(6-z)x+ydxdz$ .

By definition on the plane $y=\frac{6-2x-z}3$ thus $I=\int_(z=0)^6\int_(x=0)^(6-z)x+\frac{6-2x-z}3dxdz=\int_(z=0)^6\int_(x=0)^(6-z)2+\frac x3-\frac z3 dxdz$

$I=\int_(z=0)^6\left[2x+\frac{x^2}6-\frac{zx}3\right]_(x=0)^(6-z)dz=\int_(z=0)^62(6-z)+\frac{(6-z)^2}6-\frac{z(6-z)}3\right]dz$

$I=\int_(z=0)^6\frac{z^2}2-6z+18=\left[\frac{z^ 3}6-3z^2+18z\right]_(z=0)^6=36-108+108$

Hence $\boxed{I=\int\int_Sx+y\textrm{ }dS=36}$

Which of the following steps could be used as a shortcut method to multiply 12 by 50?A. Divide 12 by 2, then multiply that result by 50
B. Add 12 and 50, then multiply that result by 10
C. Multiply 12 by 100, then divide that result by 2
D. Multiply 12 by 5 and then multiply that result by 100

Answers

We must remember that 50 x 2 = 100. Multiplying numbers by 100 would be easier since all we have to do is add two zeros after. For example, 62 x100 = 6200. Since we multiplied a number by 2, we must divide it by 2 after getting the product. To make this more clearer, for 12 x 50, for example, we have 12 x 50 = (12 x 100)/2 = 1200/2 = 600 Thus, the answer is C.

The answer is C. Multiply 12 by 100, then divide that result by 2.

Laura’s credit card has an APR of 12.04%, and it computes finance charges using the daily balance method and a 30-day billing cycle. On June 1st, Laura had a balance of $606.40. She made exactly one transaction in June: a payment of $55.25. If Laura’s finance charge for June was $5.71, on which day did she make the payment?

Answers

Finance charge is equal to:
daily balance*A*P*R*billing cycle/365
db 0.1204 30/365 = 5.71
db = 577.01 (I am rounding every answer, and keeping the number in my calculator, things won't work out exactly if you calculate using my numbers)Manipulate the formula for mean:
average = total/amount
577.01 = total/30
total over 30 days = 17,310.22Set up an equation with our information:
606.40x + 55.25(30-x) = 17,310.22
551.15x = 16,652.72
x = 28.4

The balance was $606.40 for 28 days, so she paid on the 29th.

Answer:

C: June 15th

Step-by-step explanation:

-1/2x+3=-x+7 what does x equal

Answers

Answer:

x = 8

Step-by-step explanation:

-1/2x+3=-x+7

Add x to each side

-1/2x+x+3=-x+x+7

1/2x +3 = 7

Subtract 3 from each side

1/2x +3-3 = 7-3

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x = 8

Point B, located at (-5, -8), is translated 4 units down. What are the coordinates of point B'?(-5, -4)

(-9, -8)

(-1, -8)

(-5, -12)

Answers

The answer is:
(-5,-12)

Lm (51 + m) + 21² (m - 3) + 6L (m² +L)

Answers

Answer:

Step-by-step explanation:

Given :

l + m + n = 9

l²+ m² + n²= 31

l + m + n = 9

On squaring both sides

(l + m + n)²= 9²

(l²+m²+n²+2(lm+mn+nl) = 81

31 +2(lm+mn+nl) = 81

2(lm+mn+nl) = 81 - 31

2(lm+mn+nl) = 50

(lm+mn+nl) = 50/2

(lm+mn+nl) = 25

Hence, the value of (lm+mn+nl) = 25

Answer:

YOU GOT GOOGLE

Step-by-step explanation:

GOOGLE!!

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