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victus00 [196]
2 years ago
6

Evaluate the composition of functions.

Mathematics
1 answer:
valina [46]2 years ago
7 0

Answer:

  2

Step-by-step explanation:

Fill in each function's argument and do the arithmetic.

  h(g(f(\sqrt{10})))=h(g(2(\sqrt{10})^2-7))=h(g(2\cdot 10-7))=h(g(13))\\\\=h(\dfrac{4-13}{9})=h(\dfrac{-9}{9})=h(-1)\\\\=\sqrt{-(-1)+3}=\sqrt{4}=\boxed{2}

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Anyone have any idea what the answer could be?
DaniilM [7]

Answer:

y = -1/4x -1

Step-by-step explanation:

Mathematically, we have the slope intercept form as;

y = mx + b

where m is the slope and b is the y-intercept

from the question;

m is -1/4

So we have :

y = -1/4x + b

To get the value of b, we substitute the coordinates given and solve for b

Firstly, multiply through by 4

That will

give ;

4y = -x + 4b

4(-4) = -12 + 4b

-16 = -12 + 4b

-16 + 12 = 4b

4b = -4

b = -4/4

b = -1

So the equation in the slope intercept form is;

y = -1/4x -1

5 0
3 years ago
Integers with different values in each digit can be expanded in a similar way. For these integers, you must use addition between
Bond [772]
Seriously nobody knows the anwser?? Im done ill just fail
5 0
3 years ago
Read 2 more answers
The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
3 years ago
Need help ASAP will vote brainliest
xeze [42]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
What is the solution to the compound inequality 3x-8&gt;-5 and 2x-7&lt;5
-BARSIC- [3]

Answer:

<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>

Step-by-step explanation:

3x - 8  > -5              <em>add 8 to both sides</em>

3x > 3        <em>divide both sides by 3</em>

x > 1

2x - 7 < 5            <em>add 7 to both sides</em>

2x < 12          <em>divide both sides by 2</em>

x < 6

From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)

6 0
3 years ago
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