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sertanlavr [38]
3 years ago
12

Does the table represent a function ? If so, state the domain and range. If not, state why. (Picture)

Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Yes

For f(x) to represent a function each value of x from the domain must only map to one unique value in the range, called one-to-one

This is the case here as each value of x maps to one unique value in the range

domain x ∈ {- 5, - 4, 0, 3 }

range y ∈ {0, 2, 10, 16 }




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The full answer is 28.421856
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3 years ago
The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 4 and 12. Find the leng
fomenos
The altitude will be the geometric mean of the lengths, so
h=\sqrt{4 \cdot 12}=4\sqrt{3}.  The smaller leg is the hypotenuse of a right triangle sides 4 and 4 \sqrt{3}, so the usual trig cliche, hypotenuse 8.

Answer: 8


3 0
3 years ago
Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
Viktor [21]

Answer:

(3,-4) or x=3 and y= -4

Step-by-step explanation:

I'm going to solve this by substitution

We first need to get a variable by itself in one of the two equations (it doesn't matter which variable and the equation you do the work on doesn't matter either)

I'm going to solve for y in the second equation

-4x-4y=4

add 4y and subtract 4 from both sides to get

-4x-4=4y

Divide by 4 to get

-x-1=y

We can plug this value in for y into the first equation and get

4x+5(-x-1)= -8

Solve for x

4x-5x-5= -8

-x-5= -8

-x= -3

x=3

We can plug this value into one of the first two equations and solve for y

4(3)+5y= -8

12+5y= -8

5y= -20

y= -4

Therefore the solution is (3,-4) or x=3 and y= -4

8 0
2 years ago
Solve x 2 + 9x + 8 = 0 by completing the square. What are the solutions?
Sindrei [870]

So firstly, what two terms have a product of 8x^2 and a sum of 9x? That would be x and 8x. Replace 9x with x + 8x: x^2+x+8x+8=0

Next, factor x^2 + x and 8x + 8 separately. Make sure that they have the same quantity on the inside: x(x+1)+8(x+1)=0

Now you can rewrite the equation as (x+8)(x+1)=0

Now using zero product property, solve for x:

x+8=0\\ x=-8\\ \\ x+1=0\\ x=-1

<u>In short, the solutions are {-1,-8}, or C.</u>

4 0
3 years ago
Solve the equation 8x-2(x+1)=2(3x-1)
Ivahew [28]

Answer:

All that equals 0.

(Both sides are equal)

6 0
3 years ago
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