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3 years ago

Whats the meaning for this function notation ? temperature(pressure)

Mathematics

1 answer:

Leya [2.2K]3 years ago

7 0

<span>Function notation is a method of writing algebraic variables as functions of other variables</span>

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Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.

elena55 [62]

Answer:

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

Step-by-step explanation:

Given

$f(b) = b^2 - 75$

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

$0 = b^2 - 75$

Add 75 to both sides

$75 + 0 = b^2 - 75 + 75$

$75 = b^2$

Take square roots of both sides

$\sqrt{75} = \sqrt{b^2}$

$\sqrt{75} = b$

Reorder

$b = \sqrt{75}$

Expand 75 as a product of 25 and 3

$b = \sqrt{25*3}$

Split the expression

$b = \sqrt{25} *\sqrt{3}$

$b = \±5 *\sqrt{3}$

$b = \±5 \sqrt{3}$

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

The options are not clear enough; however the roots of the equation are $b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

4 0

3 years ago

The function c=2.50(n-2)+1.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?

Yuri [45]

Please put the selections. I can't tell you what isn't true if you don't.

6 0

3 years ago

11. The student council is comparing prices for their semi-formal dance. They compare banquet. Hall A charges $40 per person. Ha

Natalka [10]

Answer:

TC (A) = 40x , TC (B) = 500 + 20x

Step-by-step explanation:

Let the number of students be = x

Hall A Total Cost

Relationship Equation, where TC (A) = f (students) = f (x) 40 per person (student) = 40x

Hall B Total Cost

Relationship Equation, where TC (B) = f (students) = f (x) 500 fix fee & 20 per person (student) = 500 + 20x

4 0

2 years ago

Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|.

Sergio039 [100]

Answer: Ix+10I

Step-by-step explanation: To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).

So,

g(x) = |x|

g(x+10) = |x+10| ... every x has been replaced with x+10

h(x) = g(x+10)

h(x) = |x+10|

We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.

7 0

3 years ago

I need help with 2. 3. 8 and 13 please help me

Crank

Answer:

all work is shown and pictured

6 0

3 years ago