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3 years ago

What is the input value for which f(x)=3?

Mathematics

2 answers:

daser333 [38]3 years ago

8 0

The answer is 1,

Hope this help

grandymaker [24]3 years ago

4 0

Answer:

According to the graph −3 is the point (5,−3)left parenthesis, 5, comma, minus, 3, right parenthesis. In other words, f(5)=−3f, Therefore, the answer x=5

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3 years ago

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Write the following number in standard decimal form.<br> one and eighty-five hundredths

sergejj [24]

Answer:

1.85

Step-by-step explanation:

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3 years ago

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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

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6 0

3 years ago

Solve the equation for the indicated variable.<br>1. y= 3/8 (x+4) for x

madam [21]

Answer:

x=8y/3-4

Step-by-step explanation:

What we have to do to solve for X into re arrange the equation so that X is by itself on one side of the equation. To start we will divide both sides by 3/8 to move it away from the X side and we get

8y/3=x+4 then we will subtract both sides by 4 to get x all by itself

8y/3-4=x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

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3 years ago

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The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?

elena55 [62]

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

$\therefore y=kx$ ......Direct Variation

Where,

k = Constant of proportionality

To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

$32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6$

Now when k =1.6 , y = 40 then x will be

$40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25$

Therefore the value of x is 25 when y =40.

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4 years ago