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Helga [31]
2 years ago
12

What is the range of f(x)? {xl-2 {x|-2 {yl-5 {yl-5 sy<-1}

Mathematics
1 answer:
Bas_tet [7]2 years ago
7 0

Answer:

-5≤y≤-1

Step-by-step explanation:

The range is the values that y takes

The smallest value of y is -5 and the largest value of y is -1

-5≤y≤-1

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Which of these numbers is the greatest? No links
Ahat [919]

Answer:

c. 1.2 * 10^4

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If you wish to calculate the interest on an investment with a rate of 6.17%, what number will you plug into your equation? a. 0.
sdas [7]
I think it’s answer B. Because % to decimal is 6.14% divided by 100 so the decimal would move to the left two places which in 0.0614

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Fill in the missing portions of the function to rewrite g(x) = 3a^2 − 42a + 135 to reveal the zeros of the function. What are th
mariarad [96]

Answer:

g(x) = 3(x-9)(x-5)

Zeros: x = 9 and x = 5.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

g(x) = 3x^{2} - 42a + 135

So

a = 3, b = -42, c = 135

\bigtriangleup = (-42)^{2} - 4*3*135 = 144

x_{1} = \frac{-(-42) + \sqrt{144}}{2*3} = 9

x_{2} = \frac{-(42) - \sqrt{144}}{2*3} = 5

So

g(x) = 3(x-9)(x-5)

Zeros: x = 9 and x = 5.

8 0
3 years ago
Provide an Example of how to draw transformed figures that are translated, reflected, and rotated.
Paladinen [302]

A coordinate grid is very handy when it comes to drawing geometric shapes such as triangles. Let's create an example triangle ABC with the locations

A = (2,3)

B = (9,5)

C = (4,-10)

Plot those points and connect the dots. That forms triangle ABC. We can translate triangle ABC to any other position we want. Let's say we want to shift it 2 units to the left. That means we subtract 2 from each x coordinate while keeping the y coordinates the same. Therefore

A' = (0, 3)

B' = (7, 5)

C' = (2,-10)

Plot triangle A'B'C' and you should see that this is a shifted copy of triangle ABC.

The rotation rules are a bit more complicated, and it depends where you place the center of rotation; however, it is possible to use coordinate math like done above.

Luckily the reflection rules over the x or y axis are fairly simple. If we reflect over the x axis, then we flip the sign of the y coordinate. Or if we wanted to reflect over the y axis, we flip the sign of the x coordinate.

Example: A' = (0,3) reflects over the x axis to get A'' = (0, -3)

7 0
3 years ago
WILL GIVE BRAINLIEST
podryga [215]

Answer: The lines through the pairs of points are perpendicular.

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