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jok3333 [9.3K]
2 years ago
8

Factor the quadratic expression 3xsquared+4x-4

Mathematics
1 answer:
Schach [20]2 years ago
5 0

Answer:

(3x − 2) (x + 2)

Step-by-step explanation:

For a quadratic ax² + bx + c, you can factor using the AC method.

1. First, multiply a and c.

2. Next, find factors of ac that add up to b.

3. Divide the factors by a.  Reduce if possible.

4. The numerator of the fraction becomes the constant.  The denominator of the fraction becomes the coefficient.

3x² + 4x − 4

In this case, a = 3, b = 4, and c = -4.

1. 3 × -4 = -12

2. Factors of -12 that add up to 4 are -2 and +6

3. Divide by 3 and reduce: -2/3, 6/3 = 2/1

4. The factors are 3x − 2 and x + 2

3x² + 4x − 4 = (3x − 2) (x + 2)

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Step-by-step explanation:

Doesn't really need any explanition.

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Use the net to find the lateral area of the cylinder.
navik [9.2K]
Hi there!

The formula for the lateral area of a cylinder is LA = 2 x pi x r x h. Using this formula, we can plug in the given values and solve for the lateral area.

WORK:
LA = 2pi x r x h
LA = 2pi x 4.5 x 17
LA = 153pi mm^2

The correct answer is the first option - 153pi mm^2

Hope this helps!! :)
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7 0
3 years ago
The parabola y=x^2 is shifted up by 8 units
dangina [55]

Answer:

It becomes y = x^2 + 8.

Step-by-step explanation:

The equation of the new parabola is y = x^2 + 8.

6 0
3 years ago
What is the volume of this shape?
jenyasd209 [6]
Answer:
600 ft cubed
Step-by-step explanation:
Triangle volume formula V = 1/2(l*w*h)
1/2(4*12*9) = 216 ft cubed

Formula for rectangular prism V = (l*w*h)
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6 0
2 years ago
Which statement best describes f(x)= -2 √x-7 +1 –6 is in the domain of f(x) but not in the range of f(x). –6 is not in the domai
Archy [21]

Answer:

B. -6 does not belong to the domain but belongs to the range of f(x).

Step-by-step explanation:

We have the function, f(x)=-2\sqrt{x-7}+1.

So, the domain of the function is obtained when x-7\geq 0 i.e. x\geq 7

That is, the domain is {x | x≥ 7}.

Now as we have,

x\geq 7 → x-7\geq 0 → \sqrt{x-7} \geq 0 → -2\sqrt{x-7} \leq 0 → -2\sqrt{x-7}+1 \leq 1.

That is, f(x)\leq 1

Thus, the range of the function f(x) is {y | y≤ 1}.

Thus, we can see that,

-6 does not belong to the domain but belongs to the range of f(x).

5 0
3 years ago
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