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Sonja [21]
3 years ago
11

K here’s another one please help

Mathematics
1 answer:
Luden [163]3 years ago
7 0

Answer:

Both the relations are functions, the correct answer is a.

Step-by-step explanation:

In order to solve this problem we will first find the inverse relation as shown below:

y = 3x^2 + 5\\x = 3y^2 + 5\\3y^2 = x - 5\\y^2 = \frac{x - 5}{3}\\y = \sqrt{\frac{x - 5}{3}} = \frac{\sqrt{x - 5}}{\sqrt{3}}\\y = \frac{\sqrt{x - 5}\sqrt{3}}{\sqrt{3}\sqrt{3}} = \frac{\sqrt{3x - 15}}{3}

Functions are relations between two groups of numbers, for which the input must generate only one output. Using this definition we can classify both the relation and its inverse as a function, therefore the correct answer is a.

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Let g(x)= -3x and h(x) x^2+3 Find (g°h)(0)
raketka [301]
<h3>Answer is   -9</h3>

=================================

Work Shown:

(g°h)(x) is the same as g(h(x))

So, (g°h)(0) = g(h(0))

Effectively h(x) is the input to g(x). Let's first find h(0)

h(x) = x^2+3

h(0) = 0^2+3

h(0) = 3

So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.

Now let's find g(3)

g(x) = -3x

g(3) = -3*3

g(3) = -9

-------

alternatively, you can plug h(x) algebraically into the g(x) function

g(x) = -3x

g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)

g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3

g( h(x) ) = -3x^2 - 9

Next we can plug in x = 0

g( h(0) )  = -3(0)^2 - 9

g( h(0) ) = -9

we get the same result.

7 0
3 years ago
Simplify -4(x - 7) + (x + 14).
asambeis [7]

Answer:

=−3x+42

Step-by-step explanation:

Let's simplify step-by-step.

−4(x−7)+x+14

Distribute:

=(−4)(x)+(−4)(−7)+x+14

=−4x+28+x+14

Combine Like Terms:

=−4x+28+x+14

=(−4x+x)+(28+14)

=−3x+42

3 0
3 years ago
Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn
sergejj [24]
Square. 

A square is a rectangle, so rectangle.

A rectangle is a parallelogram, so parallelogram.

Equilateral.

Also Rhombus.

(I think there may be others but these are the few I know)
8 0
3 years ago
The midpoint between y and 33is -7. Find Y
Vilka [71]

Answer:

-43

Step-by-step explanation:

-7 is exactly 36 units away from 33 so we need to go 36 in the other direction to find the value of y

since it's distance I'm not using negatives rn

36+7= 43

a pic if u don't believe me

4 0
2 years ago
here are approximately 3.6 million births in a country each year. Find the birth rate in units of births per minute.
Hatshy [7]

Answer:

6.8 approximately 7 births/mins

Step-by-step explanation:

3600000/525600

If we have 3600000 births in a year, and in a year we have 6omin * 24hrs*365days a year we therefore, have the equation below

Amount of births in a year / (amount of mins in a year)

= 6.8births per mins

3 0
3 years ago
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