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ipn [44]
3 years ago
11

What is the factorization or the trinomial below? -2x^3+2x^2+12x

Mathematics
2 answers:
FrozenT [24]3 years ago
7 0

Answer: C. −2x(x−3)(x+2)

Step-by-step explanation:

1. Find the Greatest Common Factor (GCF).

GCF=2x

2. Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2x(2x^3/2x+−2x^2/2x+−12x/2x)

3. Simplify each term in parentheses.

−2x(x^2−x−6)

4. Factor x^2−x−6

−2x(x−3)(x+2)

katen-ka-za [31]3 years ago
5 0

The answer is C because the 2x outside of the brackers must be negative to produce the beginning term. The next terms are positive and two negatives make a positive, therefore we can conclude that there must be a negative inside the brackets too.

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If a line crosses the y-axis at (0,1) and has a slope of 4/5, what is the equation of the line ?
stepladder [879]
The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).  We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:

y=4x/5+1  now to rearrange into standard form ax+by=c

y=(4x+5)/5

5y=4x+5

5y-4x=5

So the answer is D.

However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.

5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:

4x-5y=-5

Apparently whomever/whatever posed this question to you was unaware of this convention :P
6 0
4 years ago
What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the r
soldier1979 [14.2K]

Answer:

The coordinates of the point P  in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:

  • (x, y) = (-1, -7)

Step-by-step explanation:

Let P be the point.

As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

(x₁, y₁) = (-2,-8)

(x₂, y₂) = (5,-1)

Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7

Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7

1 : 6 ratio means the point P lies at

\frac{1}{6+1}=\frac{1}{7}=14\%

Thus,

rise for P = 7 × 14% = 1

run for P =  7 × 14% = 1

Thus, coordinates of P will be:

x = -2 + 1 = -1

y = -8 + 1 = -7

Thus,

The coordinates of the point P  in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:

  • (x, y) = (-1, -7)
4 0
3 years ago
+<br> Find the product of -3, 0.5, and -1.6
kherson [118]
-4.1
-3+0.5+-1.6= -4.1
8 0
3 years ago
35 99/100 in simplest form
sergey [27]
35 \frac{99}{100} is already in simplest form...so it can't be simplified any further because;
99 doesn't go into 100 evenly nor could be divided by a same number. :D


4 0
3 years ago
Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).
Rom4ik [11]

Answer:

Range of \phi^{-1} is (−5,11).

Step-by-step explanation:

Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).

Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by\phi^{-1}

Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by \phi^{-1}

Hence, Range of \phi^{-1} is (−5,11)



3 0
3 years ago
Read 2 more answers
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