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Mila [183]
3 years ago
12

Expand and simplify

x-2)^{2} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
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What is the answer to: 3 x 4 + 15- 19 x2037? help
Ierofanga [76]

Answer: -38,686

Step-by-step explanation:

3 x 4= 12

-19 x 2037= -38,703

12 + 15= 17

17 -38,703= -38,686

6 0
3 years ago
Given that the square root function is only defined for non-negative numbers, define the domain of f in terms of c. {x | ≥ 0}
diamong [38]

Answer:

c:(0;+∞)

Step-by-step explanation:

Given the situation, that the square root function only allows you values above than "0" (not equal neither), then you must consider that every value above 0 belongs to it's domain.

Then, to express the domain, going from your most negative number, to your most possitive number (in this case all positive number, thats why we use infinite)  you must use the parenthesis wich means, you are not considering the value (in this case 0), but the value right after it, to the next value that as we said before, is inifinite. Also remember, that when you express a domain, and use infinite (despite it's going to negative way, or possitive way, it also goes with parenthesis).

5 0
3 years ago
An amount was shared in the ratio 3:4. The largest share was 12. What is the smallest share​
boyakko [2]

Answer:

9

Step-by-step explanation:

3/4 = x/12

Cross-multiply: 36 = 4x

x = 9

6 0
3 years ago
Idently the graph of f(x) = 3(x - 1) - 4. Then identity the vertex and ads of symmetry find the minimum value of and describe wh
Vesna [10]

Answer:

See below

Step-by-step explanation:

I assume you mean f(x) = 3(x-1)^2-4

The equation is already in vertex form f(x)=a(x-h)^2+k where a affects how "fat" or "skinny" the parabola is and (h,k) is the vertex. Therefore, the vertex is (h,k)\rightarrow(1,-4).

The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as x=h for a parabola with a vertical axis. Hence, the axis of symmetry is x=1.

The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is y=-4.

The interval where the function is decreasing is (-\infty,1)

The interval where the function is increasing is (1,\infty)

8 0
2 years ago
a computer technician charges $32.50 per hour plus a $75.00 service charge. Your father's firm hires him to hook up his company'
nika2105 [10]
32.50h+75.00= 107.50h I don't know if its right or it could be 32.50h+75.00= b
3 0
3 years ago
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