The image of the point (1, 2, 3) is (3, 7)
<h3>How to determine the image?</h3>
The given parameters are:
- Point = (1, 2, 3)
- Transformation rule = (3x, 2y + z)
In (1, 2, 3), we have:
x = 1; y = 2 and z = 3
When the rule is applied, we have:
Image = (3x, 2y + z)
Image = (3 * 1, 2 *2 + 3)
Evaluate
Image = (3, 7)
Hence, the image of the point (1, 2, 3) is (3, 7)
Read more about transformation at:
brainly.com/question/4289712
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Answer:
This question is a rather easy one which can be answered by simply solving the embedded quadratic equation.
f(x) = -
+ 6x + 16
To make our solving easier, what we do is multiply the whole equation by -1. By so doing, we make "x" positive. Then, we have
f(x) = - 6x - 16
Solving this equation quadratically, we have
+ 2x - 8x - 16 = and when we factorize this expression, we have
x(x + 2) -8(x + 2) =
(x - 8) (x + 2) = 0
x - 8 = 0, x + 2 = 0
x = 8, or x = -2
Since distance can not be in negative(minus), we then have our x to be 8 meters.
Another example on factorization can be seen here brainly.com/question/13813750
Glass bottles =total number of bottles - numeber of bottle of plastic
gass bottles=50-19=31 bottles of glass.
percent of the bottles are glass=(number of bottles of glass*100%) / total number of bottles.
percent of the glass bottles=(31 bottles * 100%) / 50 bottles=62%
Answer: the percent of the bottles of glas is 62%
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
Answer:
328,268.16
Step-by-step explanation:
3.14r^2h
3.14(33)(33)(96)
= 328,268.16
