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Mashutka [201]
3 years ago
5

He difference between -7/9 and 4/9 is _____.

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

-1.2 or -11/9 or -1  2/9

Step-by-step explanation:

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If x+y+z=9, xy+yz+zx =26; find x²+y²+z²
vichka [17]
<em>First, we must expand  and simplify :</em>
x + y+z = 9

(x + y+z)^{2} = (9)^{2}

x^{2} + y^{2}+z^{2} + 2(xy + yz+zx) = 81

<em>And Than, Enter the value :</em>

x^{2} + y^{2}+z^{2} + 2(26) = 81

x^{2} + y^{2}+z^{2} + 52 = 81

x^{2} + y^{2}+z^{2} = 81- 52

\boxed{x^{2} + y^{2}+z^{2} = 29}

7 0
3 years ago
Read 2 more answers
What is the solution of this system of linear equations? 3y = x + 6 y – x = 3
Fofino [41]
First isolate y by adding x to both sides in y-x=3 and getting y=x+3
Step 1: substitute x+3 for y in 3y=x+6 to get 3(x+3)=x+6
Step 2: distribute 3x+9=x+6
Step 3: subtract like terms 2x=-3
Step 4: divide x=-3/2

substitute -3/2 for x in y=x+3 to get
y=-3/2+3
y=3/2

answer: y=3/2 x=-3/2
5 0
3 years ago
Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is described by the formula below. C(
Ad libitum [116K]

Answer:

a) The marginal cost function is given by

C'(x) = 4 + 0.04x + 0.0003x² (in dollars)

b) C'(70) = $8.27

Step-by-step explanation:

C(x) = 1000 + 4x + 0.02x² + 0.0001x³

a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.

Mathematically,

MC = (dC/dx) = C'(x)

For this question,

C'(x) = 4 + 0.04x + 0.0003x²

b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.

C'(x) = 4 + 0.04x + 0.0003x²

C'(70) = 4 + 0.04(70) + 0.0003(70²)

C'(70) = $8.27

Hope this helps!

8 0
3 years ago
Round the following dollar amount to the nearest cent.<br><br> $5.8222
xz_007 [3.2K]

Answer:

$5.82

Step-by-step explanation:

8 0
3 years ago
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How do I Simplify (5x-2)4 using the distributive property?
BartSMP [9]

Answer:

20x - 8

Step-by-step explanation:

using the distributive property to simplify (5x-2)4, you would multiply the outside term (4) by each inside term (5x-2).

for example:

4 × 5x = 20x

4 × -2 = -8

once you distribute the 4 into 5x-2, you are left with 20x - 8 which needs no further simplifying

4 0
3 years ago
Read 2 more answers
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