Answer:
- g(x) = x^2 – 4x – 21
- g(x) = 3x^2 – 12x – 63
- g(x) = –(x + 3)(x – 7)
Step-by-step explanation:
When r is an x-intercept of the function, (x -r) is a factor. The two given x-intercepts mean that two factors of the function are (x -(-3))(x -7). There may be a vertical scale factor that is not necessarily positive.
These factors multiply out to give ...
(x +3)(x -7) = x^2 -4x -21 . . . . . . matches the first choice
When this expression is multiplied by 3, it matches the third choice:
3(x +3)(x -7) = 3x^2 -12x -63
When the factored form is multiplied by -1, it matches the fourth choice:
-(x +3)(x -7)
Let
x--------> The number of red marbles
y--------> The number of blue marbles
we know that
equation
equation
equate equation and equation
therefore
the answer is
The number of red marbles is
The number of blue marbles is
81, 27 and 9 are all powers of 3.
Let's write them in terms of 3.
81 = 3^4
Therefore we can write,
and since 27 = 3^3 we can write,
and 9 is 3^2.
So our equation looks like this,
Applying our exponent rule, division to subtraction, gives us,
And from this point, since the BASES are the same,
we can simply equate the exponents:
4(x-2)-3x = 2
and then solve for x.
The ratio of the perimeter of the smaller polygon to the larger is 1/3.
<h3>
Similar figures</h3>
Two figures are said to be similar of they have the same shape and the ratio of their corresponding sides are in the same proportion.
Since the polygons are similar, hence the ratio of their corresponding sides would be congruent. Therefore:
Ratio of smaller polygon to larger polygon = ratio of the perimeter of the smaller polygon to the larger = 3 / 9 = 1/3
The ratio of the perimeter of the smaller polygon to the larger is 1/3.
Find out more on Similar figures at: brainly.com/question/14285697
Answer:
Cost Price
12
40
=3.33 rupees/banana
Selling Price
10
36
=3.6 rupees/banana
Therefore,
It is 43.2 for 12 bananas
Profit=SellingPrice−CostPrice
=43.2−40=3.2
Therefore,
Profit %=
40
3.2
×100
=8% profit
Hence, this is the answer.
Step-by-step explanation:
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