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notsponge [240]
3 years ago
13

Please help!! I’m stuck on this

Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

B.  x = -4\,\lor \,x = -1

Step-by-step explanation:

Let \sqrt{-4-5\cdot x} = x, we solve for x by algebraic means.

1) \sqrt{-4-5\cdot x} = x Given

2) -4-5\cdot x = x^{2} Definition of power/Symmetry of equality

3) x^{2}+5\cdot x + 4 = 0 Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) (x+4)\cdot (x+1) = 0         x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)

5) x = -4\,\lor \,x = -1 Result

Hence, the correct answer is B.

You might be interested in
65÷5=____ with ____ left over​
Molodets [167]

65 ÷ 5 = 11 with 0 left over​

Hope this helps! ;)

7 0
3 years ago
Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later
sergejj [24]

Answer:

  (y^2)/4 square meters

Step-by-step explanation:

For a perimeter length of x, the side of a square will be x/4 and its area will be (x/4)^2.

If one side of the square is shortened by y/2 and the adjacent side is lengthened by y/2, then the difference in side lengths will be y. The area of the resulting rectangle will be ...

  (x/4 -y/2)(x/4 +y/2) = (x/4)^2 -(y/2)^2

That is, the difference in area between the square and the rectangle is ...

  (x/4)^2 - ((x/4)^2 -(y/2)^2) = (y/2)^2 = y^2/4

The positive difference between the area of the square region and the area of the rectangular region is y^2/4 square meters.

5 0
3 years ago
What is the answer to 5x-14=8x+4
Natalija [7]

Answer:

x= -6

Step-by-step explanation:

5x-8x=14+4

-3=18

x= -6

6 0
3 years ago
Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas
Paraphin [41]

Answer:  3.50x + 4.00y ≤ 45

                0 < y < 11.25

<u>Step-by-step explanation:</u>

3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0

8 0
3 years ago
Read 2 more answers
Solve: 12.5 z – 6.4 = –8 z + 3(1.5 z – 0.5)
dolphi86 [110]

Answer:

Step-by-step explanation:

12.5z - 6.4 =-8z + 3(1.5z - 0.5)

12.5z - 6.4 = - 8z + 4.5z - 1.5

12.5z - 6.4 = - 3.5z - 1.5

Bringing like terms on one side

12.5z + 3.5z = - 1.5 + 6.4

16z = 4.9

z = 4.9/16

6 0
3 years ago
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