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Leona [35]
2 years ago
15

How many pounds of nails costing $7 per pound must be mixed with 6 pounds of nails costing $3 per pound to yield a mixture costi

ng $4 per pound?
Mathematics
1 answer:
Yuliya22 [10]2 years ago
6 0
Let nails 7/pound=N1
nails 3/pound=N2

let N1=x
N2=6
then total=x+6
7x+6*3=(x+6)*4
7x+18=4x+24
3x=6
x=2
so 2 pounds on Nails costing 7/pound must be added
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Divide x^4+3x^3-2x^2+4 by x-2 what is the correct synthetic division and quotinent
frez [133]

Answer:

A

Step-by-step explanation:

The correct divisor is 2. You change the sign of the real number without a variable when that real number is  the divisor.

So - 2 becomes 2 and C and D are both incorrect.

The 0 comes between - 2 and 4 because the x term is 0x. (there isn't one).

That makes B wrong.

The answer is A

3 0
3 years ago
For the polynomial below, -2 is a zero.
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

please note -2 is not a zero ,it should be 2 is a zero.

by synthetic division

2|  1  4 -10 -4

  |      2  12  4

  |----------------

     1  6   2  | 0

x²+6x+2=0

x=\frac{-6 \pm \sqrt{36-8} }{2} \\or~x=\frac{-6 \pm2\sqrt{7} }{2} \\or ~x=-3\pm \sqrt{7} \\h(x)=(x-2)(x^2+6x+2)=(x-2)(x-3+\sqrt{7} )(x-3-\sqrt{7})

7 0
2 years ago
Marlena places a square rug on her living room floor, which is also a square. What area of her floor is NOT covered by the rug?
Kay [80]

Answer:

B. 12 square ft C. 63 square ft

Step-by-step explanation:

Marlena places a square rug on her living room floor, which is also a square.

Now if a square rug is placed in her room, the area of the floor will definitely be the area if the square rug..

And area of a square it = length ²

The result will give s a perfect square for an integer number.

A. 9 square ft = perfect square

B. 12 square ft = not perfect square

C. 63 square ft =not perfect square

D. 81 square ft= perfect square

So the ones that are not perfect squares Is the answer to the question

8 0
2 years ago
Help me please i’ll give brainliest the
Vladimir [108]

Answer:

y=-1/2x+-1

Step-by-step explanation:

try desmos with this equation.

y=mx+b

m=the slope which is -1/2. It goes down 1 it is negative because it is going down, and to the right 2.

b=y-intercept meaning the point which the line crosses the line y .-1

7 0
2 years ago
A rain gutter is made from sheets of aluminum that are 22 inches wide by turning up the edges to form right angles. Determine th
Varvara68 [4.7K]
So hmm notice the picture below

thus, the perimeter of the gutter is just w + w + l, or 2w +l

thus \bf 22=2w+l\implies 22-2w=l
\\\\\\
\textit{area of a rectangle}\\\\
A=lw\qquad 22-2w=l\implies A(w)=(22-2w)w
\\\\\\
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take the derivative of A(w), zero it out, check any critical points in the interval of (0, 22), for a maxima

recall, the aluminum sheet is just 22inches long, thus, whatever the "depth" or "w" is, has to be more than 0, and less than 22

4 0
3 years ago
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