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frozen [14]
3 years ago
5

Perform the requested operation or operations. f(x) = 4x + 9, g(x) = 4x^2 Find (f + g)(x).

Mathematics
1 answer:
astraxan [27]3 years ago
4 0
F(x) = 4x - 9 and g(x) = 4 - x^2
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Trevor is analyzing a circle, y2 + x2 = 49, and a linear function g(x). Will they intersect?
melomori [17]
We have a circumference that is given by the following equation:

x^{2}+y^{2}=49

We can write this equation in its standard form as follows:

 x^{2}+y^{2}=7^{2} \\ where \ the \ radius \ r=7

On the other hand, the linear function is given as the following table:

x \ \ \ \ \ \ \ \ g(x) \\ -1 \ \ -9.2 \\ 0 \ \ \ \ \ -9 \\ 1 \ \ \ \ \ -8.8

To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:

x^{2}+(0.2x-9)^{2}=49 \\ \\ \therefore x^{2}+0.04x^{2}-3.6x+81=49 \\ \\ \therefore 1.04x^{2}-36x+32=0 \\ \\ Solving \ for \ x: \\ x_{1}=33.70 \\ x_{2}=0.91 \\ \\ Solving \ for \ y: \\ y_{1}=0.2(33.70)-9=-2.26 \\ y_{2}=0.2(0.91)-9=-8.18

 Finally the intersects are:

 P_{1}(33.70, -2.26) \ and \ P_{2}(0.91, -8.18)
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7 0
3 years ago
Read 2 more answers
Is this right? I’m currently taking an assessment and I need to make sure I am right.
Leto [7]
Correct good job that seem correct
3 0
3 years ago
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30<br> find the length of AB.<br> D 20 C<br> Show your work
vovikov84 [41]
You use Pythagoras theorem for this:
You add 52 and 20 for AC which is 72
So you do
X^2 = 72^2 + 30^2
X^2 =5184 + 900
X^2= 6084
X = 6084 squared root
X= 78
4 0
2 years ago
Please help ASAP 25 pts + brainliest to right/best answer !!!
Trava [24]

Answer:

  d.  9.25

Step-by-step explanation:

g(f(3.5)) = g(3.5²) = g(12.25) = 12.25 -3 = 9.25

_____

<em>Creating the composite function first</em>

The composition (g ∘ f)(x) means g(f(x)). That is, the value of f(x) is used as the argument for function g.

  g(f(x)) = g(x²) = x² -3

Then g(f(3.5)) = 3.5² -3 = 12.25 -3 = 9.25

7 0
3 years ago
3x + y = – 7<br> Solve to find were the two point intercept
Tju [1.3M]

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
  • First we need to convert it into y=mx+c form

{:}\longrightarrow\sf 3x+y=-7

{:}\longrightarrow\sf y=-7-3x

  • Now create table using this
<h3><u>Table</u><u>:</u><u>-</u></h3>

\boxed{\begin{array}{|c|c|c|c|} x & 1 & (-1) & 0 \\ y & -10 & (-4) & -7 \end{array}}

Hence the intercepts are

\therefore\sf A (1,-10),B(-1,-4),C(0,-7)

3 0
3 years ago
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