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3 years ago

F(x) is a function. true or false? 30 points!!!

Mathematics

1 answer:

Alla [95]3 years ago

3 0

False:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.

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If DKL =.PVX, which of the following statements must also be true? Check all that apply.

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Answer:

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Step-by-step explanation:

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3 years ago

What is the range of the function g(x)=4x−5 when the domain is {-1, 0, 2}?

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10

damaskus [11]

Answer:

Step-by-step explanation:

set

$f(x,y)=x+y\\$

constrain:

$g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10$

Partial derivatives:

$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

Lagrange multiplier:

$grad(f)=a*grad(g)+b*grad(h)\\$

$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

4 equations:

$1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10$

By solving:

$a=4/9\\b=-2/27\\x+y=4$

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

$x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4$

The maximum is 4

6 0

3 years ago

Annie has al metre piece of wire.

KIM [24]

Answer:

wire left for square = 100 - (14+14+4+4) cm

= (100 - 36) cm

= 64 cm

side of square = 64/4 = 16 cm

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3 years ago

Ivan and Tanya share £150 in the ration of 4:1

Zarrin [17]

Answer:

Money Ivan gets extra = 120 - 30 (or 3x) = 90

Step-by-step explanation:

Ivan = 4x

Tanya = 1x

Total = 150

4x + x = 150

5x = 150 ; x = 150 / 5 = 30

Ivan = 4x = 120

Tanya = 1x = 30

Money Ivan gets extra = 120 - 30 (or 3x) = 90

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3 years ago