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4 years ago

Given the function, f(x)=x+1+2, choose the correct transformation.

1 answer:

3 0

Parent function : g(x) = |x|

Horizontal Shift: Right 1 units

vertical shift: down 2 units

Reflection about the x-axis: none

Vertical Compression or Stretch: none

Hope this helps.

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Triangle R was transformed to produce triangle M.

Softa [21]

Answer:

reflection

Step-by-step explanation:

7 0

3 years ago

Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the sl

AlladinOne [14]

What do we know about those two lines?

They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)

For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]

So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A

4 0

3 years ago

I’m stuck someone please help

Thepotemich [5.8K]

12c-4=14c-10
+4 +4

12c=14c-6
-14 -14

-2c=-6
/-2 /-2

c=3

4 0

4 years ago

Which is NOT a Characteristic of the linear parent function

RSB [31]

I'm assuming that the "linear parent function" is $y = x$ . If so:

A. is true.

In fact, the slope of a line written in the form $y = mx+q$ is $m$ , and the line $y = x$ is given by $m=1,\ q=0$

C. is true.

Since the origin is the point $(0,0)$ , if we compute the function at $x = 0$ , we want $y = 0$ . This is quite trivial since $y = x$

D. is true.

The domain is affected by denominators (they can be zero), even roots (they don't accept negative inputs) and logarithms (they don't accept non-positive inputs). Since this function has none of these three, the domain is all real numbers.

B. is FALSE.

The range of a function is the set of numbers obtained as output, for all possible inputs. Since, in this case, the input and the output are the same thing, if you give a negative input, you will receive the same negative output. So, the range doesn't consist only of positive numbers.

5 0

3 years ago

Read 2 more answers

A grapefruit has a peel that is 1cm thick and a total diameter of 12cm. What percentage of volume of the grapefruit is the peel?

ira [324]

Answer:

0.3056 or 30.56%

Step-by-step explanation:

The volume of the grapefruit with the peel is:

$V_p=\frac{4 \pi (d/2)^2}{3}\\V_p=\frac{4 \pi (12/2)^2}{3}\\V_p=48 \pi$

When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:

$V_n=\frac{4 \pi (d/2)^2}{3}\\V_n=\frac{4 \pi (10/2)^2}{3}\\V_n=33.333 \pi$

The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:

$\%P = \frac{48\pi - 33.333\pi}{48\pi}\\ \%P =0.3056 = 30.56\%$

30.56% of volume of the grapefruit is the peel.

4 0

4 years ago