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Dimas [21]
2 years ago
12

Find the range of the function y=-x^2-3x when the domain is {-5,0,2}

Mathematics
1 answer:
umka21 [38]2 years ago
4 0

Answer: \{-10, 0 \}

Step-by-step explanation:

The range is the set of output values for the domain (the set of inputs).

  • When x=-5, y=-(-5)^{2}-3(-5)=-10.
  • When x=0, y=-0^{2}-3(0)=0.
  • When x=2, y=-2^{2}-3(2)=-10

So, the range is \boxed{\{-10, 0 \}}

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What is the area of this trapezoid enter your answer in the box
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9514 1404 393

Answer:

  336 cm^2

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...

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2 years ago
On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line th
Novay_Z [31]

Answer:

y=3x-5

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(-3,2) and (0,1)

The slope m is

m=(1-2)/(0+3)=-1/3

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)

so

The slope is

m=3

step 3

Find the equation of the line in point slope form

we have

m=3

point(3,4)

y-4=3(x-3) ----> equation in point slope form

Convert to slope intercept form

y=3x-9+4

y=3x-5

6 0
3 years ago
Read 2 more answers
What is the multiple zero and multiplicity of f(x)=x^3-8x^2+16x?
lions [1.4K]
Multiplicity is how many times a root repeats
factor
x(x²-8x+16)
what times wat =16 and adds to -8
-4 and -4
x(x-4)(x-4)
x(x-4)²
set to zero
x=0

x-4=0
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roots are 0 ad 4

4 repeats 2 times, so has a multiplicty of 2


so
roots are 0, and 4 multiplicity 2

4 0
3 years ago
Read 2 more answers
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