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Anika [276]
2 years ago
7

G(F(x)) is always equal to F(G(x))​ True or False

Mathematics
1 answer:
Over [174]2 years ago
6 0

Answer:

false

Step-by-step explanation:

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Write the equations of each line in slope-intercept form.
Pachacha [2.7K]

Answer:

1) y = 3x + 2

2) y = -x + 2

7 0
2 years ago
Read 2 more answers
A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is
Otrada [13]

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

7 0
2 years ago
What are the correct answers?
DochEvi [55]

Step-by-step Answer:

Situations with dot-products.

dot-product of vectors A<xa,ya>, B<xb,yb>

is defined as A.B=xa*xb + ya+yb

Note that the result is a scalar even though A and B are both vectors.

Q1 dot product is positive

Q2 dot product is negative

The dot product is also equal to the length of the projection of the unit vector of one onto the other, multiplied by the magnitudes.  This implies that the sign will be positive if the angle between the vectors is acute, and negative if the angle between them is obtuse.  That makes the first two proposed answers (A, B) correct.

Q3 dot product equals 0

Since the projection of any vector onto another perpendicular to it is zero, so the dot product of two perpendicular vectors always equal zero.  That makes the third proposed answer (E) correct.

Q4 dot product equals the product of the vectors' magnitudes.

The earlier statement

"The dot product is also equal to the length of the projection of the unit vector of one onto the other, multiplied by the magnitudes."

makes the fourth statement true if the unit vector projected onto the other remains a unit vector, i.e. when the two vectors are parallel (D)

Q5 dot product equals opposite of the product of the vectors.

To have the dot product's absolute value equal the product of the magnitudes, the vectors must be parallel.  If the dot product is positive, then the vectors are parallel and pointing in the same direction, as in Q4.

If the dot product is negative, meaning that is the opposite of the product of the magnitudes (themselves are always positive or zero), then the vectors are parallel, but in the opposing directions.

There is no correct answer for this case, which is definitely NOT "not possible".  The closest one is (D) vectors are parallel, but answer is incomplete.

Q6 dot product is greater than the product of the vectors' magnitudes.

I do not see a possible case for this to happen.


6 0
3 years ago
Plzzzzzz helppppp asappppp <br> ***will mark brainliest *****
Vanyuwa [196]

i am not sure but it think its 6 root 2

6 0
2 years ago
Please help me if you can
MA_775_DIABLO [31]

Answer:

y = .025x +20

The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

Step-by-step explanation:

We have a point a (0,20) and a point at (2 , 20.05)

We can find the slope from

m = (y2-y1)/(x2-x1)

   = (20.05-20)/(2-0)

   = .05/2

     =.025

One of the points (0,20) is the y intercept  since x=0

We can use the slope intercept form of the equation

y= mx+b

y = .025x +20


The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

3 0
3 years ago
Read 2 more answers
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