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3 years ago

Can someone help me with this question? I seem to be getting a negative answer every time :(

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Substitute 4 for y. Then -3x^2 + 16 = 52.

Solve for x. Subtract 16 from both sides, obtaining -3x^2 = 36.

Divide both sides by -3, obtaining x^2 = -12. This last result makes no sense, as no square of a real number could be negative. Probably this is where you're ":getting a negative answer."

If imaginary answers were allowed, then x = i*√12 = i*2√3 or x = -i*2√3.

x =

icang [17]3 years ago

8 0

You get a negative value for x² because there are no real-number solutions to the set of equations. (The graphs do not intersect.)

Solve for x^2:

... x^2 = (y^2 -52)/3 = (16-52)/3) = -12

... x = 2√(-3) = ±i·2√3

Complex numbers cannot be compared to zero. (x > 0 has no meaning in this context.) It seems possible you want the complex solution with the positive imaginary part: x = i·2√3

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Studentka2010 [4]

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5 0

2 years ago

What is the prime factorization for 40, 210 and 165? (finding the lcm)

Lemur [1.5K]

Answer:

Is below.

Step-by-step explanation:

Prime Factors:

40 = 2*2*2*5

210 = 2*3*5*7

165= 3*5*11

The LCM is 2*2*2*3*5*7*11

= 8*15*77

= 9240.

4 0

3 years ago

Read 2 more answers

Evaluate the function at the given value. f(a) = a^3 + 5a^2 + 10a + 12 at a = -2

djyliett [7]

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Step-by-step explanation:

6 0

2 years ago

Solve for x<br> x2 - 3|x - 2| - 4x = - 6

SashulF [63]

X=2

2
−
3
(
|
x
−
2
|
)
−
4
x
=
−
6
−
3
(
|
x
−
2
|
)
−
4
x
+
2
=
−
6
Step 1: Add 4x to both sides.
−
3
(
|
x
−
2
|
)
−
4
x
+
2
+
4
x
=
−
6
+
4
x
−
3
(
|
x
−
2
|
)
+
2
=
4
x
−
6
Step 2: Add -2 to both sides.
−
3
(
|
x
−
2
|
)
+
2
+
−
2
=
4
x
−
6
+
−
2
−
3
(
|
x
−
2
|
)
=
4
x
−
8
Step 3: Divide both sides by -3.
−
3
(
|
x
−
2
|
)
−
3
=
4
x
−
8
−
3
|
x
−
2
|
=
−
4
3
x
+
8
3
Step 4: Solve Absolute Value.
|
x
−
2
|
=
−
4
3
x
+
8
3
We know either
x
−
2
=
−
4
3
x
+
8
3
or
x
−
2
=
−
(
−
4
3
x
+
8
3
)
x
−
2
=
−
4
3
x
+
8
3
(Possibility 1)
x
−
2
+
4
3
x
=
−
4
3
x
+
8
3
+
4
3
x
(Add 4/3x to both sides)
7
3
x
−
2
=
8
3
7
3
x
−
2
+
2
=
8
3
+
2
(Add 2 to both sides)
7
3
x
=
14
3
(
3
7
)
*
(
7
3
x
)
=
(
3
7
)
*
(
14
3
)
(Multiply both sides by 3/7)
x
=
2
x
−
2
=
−
(
−
4
3
x
+
8
3
)
(Possibility 2)
x
−
2
=
4
3
x
+
−
8
3
(Simplify both sides of the equation)
x
−
2
−
4
3
x
=
4
3
x
+
−
8
3
−
4
3
x
(Subtract 4/3x from both sides)
−
1
3
x
−
2
=
−
8
3
−
1
3
x
−
2
+
2
=
−
8
3
+
2
(Add 2 to both sides)
−
1
3
x
=
−
2
3
(
3
−
1
)
*
(
−
1
3
x
)
=
(
3
−
1
)
*
(
−
2
3
)
(Multiply both sides by 3/(-1))
x
=

2
−
3
(
|
x
−
2
|
)
−
4
x
=
−
6
−
3
(
|
x
−
2
|
)
−
4
x
+
2
=
−
6
Step 1: Add 4x to both sides.
−
3
(
|
x
−
2
|
)
−
4
x
+
2
+
4
x
=
−
6
+
4
x
−
3
(
|
x
−
2
|
)
+
2
=
4
x
−
6
Step 2: Add -2 to both sides.
−
3
(
|
x
−
2
|
)
+
2
+
−
2
=
4
x
−
6
+
−
2
−
3
(
|
x
−
2
|
)
=
4
x
−
8
Step 3: Divide both sides by -3.
−
3
(
|
x
−
2
|
)
−
3
=
4
x
−
8
−
3
|
x
−
2
|
=
−
4
3
x
+
8
3
Step 4: Solve Absolute Value.
|
x
−
2
|
=
−
4
3
x
+
8
3
We know either
x
−
2
=
−
4
3
x
+
8
3
or
x
−
2
=
−
(
−
4
3
x
+
8
3
)
x
−
2
=
−
4
3
x
+
8
3
(Possibility 1)
x
−
2
+
4
3
x
=
−
4
3
x
+
8
3
+
4
3
x
(Add 4/3x to both sides)
7
3
x
−
2
=
8
3
7
3
x
−
2
+
2
=
8
3
+
2
(Add 2 to both sides)
7
3
x
=
14
3
(
3
7
)
*
(
7
3
x
)
=
(
3
7
)
*
(
14
3
)
(Multiply both sides by 3/7)
x
=
2
x
−
2
=
−
(
−
4
3
x
+
8
3
)
(Possibility 2)
x
−
2
=
4
3
x
+
−
8
3
(Simplify both sides of the equation)
x
−
2
−
4
3
x
=
4
3
x
+
−
8
3
−
4
3
x
(Subtract 4/3x from both sides)
−
1
3
x
−
2
=
−
8
3
−
1
3
x
−
2
+
2
=
−
8
3
+
2
(Add 2 to both sides)
−
1
3
x
=
−
2
3
(
3
−
1
)
*
(
−
1
3
x
)
=
(
3
−
1
)
*
(
−
2
3
)
(Multiply both sides by 3/(-1))
x
=
2

3 0

1 year ago

What would be the slope for (-4,-7) (-6,4)

Sliva [168]

Answer: $\frac{11}{-2}$