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3 years ago

HELP ASAP!!

Mathematics

1 answer:

elena55 [62]3 years ago

6 0

Answer:

the last one

Step-by-step explanation:

substitute the x values

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Suppose that the functions q and r are defined as follows. q (x) = x^2+6 r(x) = square x+9

Zigmanuir [339]

Answer:

$(r\circ q)(7)=8,\ (r\circ q)(7)=-8$

$(q\circ r)(7)=22$

Step-by-step explanation:

Composite Function

Given two functions q(x) and r(x), the composite function $r\circ q(x)$ is defined as

$(r\circ q)(x)=r(q(x))$

Similarily

$(q\circ r)(x)=q(r(x))$

The functions are

$q(x)=x^2+6$

$r(x)=\sqrt{x+9}$

Compute

$(r\circ q)(x)=\sqrt{x^2+6+9}=\sqrt{x^2+15}$

Evaluating for x=7

$(r\circ q)(7)=\sqrt{7^2+15}=\sqrt{64}=\pm 8$

We have two solutions

$\boxed{(r\circ q)(7)=8,\ (r\circ q)(7)=-8}$

Now compute

$(q\circ r)(x)=(\sqrt{x+9})^2+6=x+9+6=x+15$

For x=7

$(q\circ r)(7)=7+15=22$

$\boxed{(q\circ r)(7)=22}$

5 0

3 years ago

Which inequality is represented by the graph

Furkat [3]

Answer:

(-2, 5) < x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

4x + 7 = 6x + 4. what is this answer step by step?

MrRa [10]

$4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32$

8 0

3 years ago

Read 2 more answers

5x^2 = 42x + 27 use factoring to solve the quadratic equation.

tatiyna

Answer:

x = -3/5 or x = 9

Step-by-step explanation:

5x^2=42x+27

Step 1: Subtract 42x+27 from both sides.

5x^2−(42x+27)=42x+27−(42x+27)

5x^2−42x−27=0

Step 2: Factor left side of the equation.

(5x+3)(x−9)=0

Step 3: Set factors equal to 0.

5x+3=0 or x-9=0

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4 years ago

According to the 70-20-10 model, approximately 20 percent of learning occurs through formal classroom experiences. True False

ELEN [110]

Answer:

False

Step-by-step explanation:

Only 10 % comes from formal classroom experience as 20% comes through developmental relationships and 70% from challenging assignments. The model was created in the 1980s by three researchers and authors working with the Center for Creative Leadership, a nonprofit educational institution in Greensboro, N.C. The three, Morgan McCall, Michael M. Lombardo, and Robert A. Eichinger were researching the key developmental experiences of successful managers. The underlying assumption is that leadership is learned, that leaders are made, not born.

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3 years ago