MATHEMATICS COLLEGE

How do you graph this helppp and explain

Answers

Answer 1

Answer:

9514 1404 393

Answer:

bottom graph shown

Step-by-step explanation:

It can be helpful to rearrange the equation to either of the equivalent forms ...

f(x) = |3(x -2)|

or ...

f(x) = 3|x -2|

_____

The first of these forms represents a horizontal compression of the absolute value function by a factor of 3, then a right-shift by 2 units. This matches the bottom graph shown.

The second of these forms represents a horizontal right-shift by 2 units, and a vertical expansion by a factor of 3. This matches the bottom graph shown.

The attached graph shows the function given here along with the absolute value parent function.

_____

Additional comment

The transformations we're usually interested in are ...

g(x) = k·f(x) . . . . vertically scaled (stretched) by a factor of k

g(x) = f(kx) . . . . .horizontally compressed by a factor of k

g(x) = f(x) +k . . . shifted up by k units

g(x) = f(x -k) . . . . shifted right by k units

In many cases, as here, horizontal scaling and vertical scaling are indistinguishable as to which caused a given effect.

Answer 2

Answer:

Answer:

bottom graph

Step-by-step explanation:

f(x) = |3q-6|

because you have absolute value there are 2 possibilities

y= +(3q-6) and y= -(3q-6)

to find where the graph intersects the x-axis make y=0 because there the y coordinate is 0, so we have...

3q-6 =0 and -3q+6 =0

3q= 6 and -3q =-6

q=2 and q=2

the bottom graph has the intersection with x-axis only at 2, so is the correct one

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Which expression represents the phrase " the difference of 18 and 12"?
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Tell whether the following set is an empty set or not. A = {A quadrilateral having 3 obtuse angles}

Answers

Answer:

It is not an empty set

Step-by-step explanation:

Obtuse angles are angles greater than 90 and less than 180.

There are quadrilaterals having 3 obtuse angles and they are possible.

If we imagine 3 obtuse angles of 91 degrees (obtuse angle), the 4th angle will be

360-91-91-91

=> 87 degrees

So, This quadrilateral can be constructed!

And also with 92, 93, 94 and so on!

So, Set A is not an empty set!

Answer:

It is not an empty set

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible.

A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.

Let’s say three angles are measuring 91 degrees in a quadrilateral.

91 + 91 + 91 + x = 360

x = 87

The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.

The sum of two integers is 44. The difference of the two integers is 8.What is the smaller integer?

Answers

Answer:

Step-by-step explanation:

44/2=22

the difference between the two numbers= 8

8/2=4

(22-4) + (22+4) = 18+26 = 44

the smaller number = 18

Answer:

The smaller integer is 18.

Step-by-step explanation:

x is the larger integer, and y is the smaller integer.

x + y = 44

x - y = 8

For x - y = 8, add y to both sides and get x = 8 + y.

Change x in x + y = 44 for 8 + y.

8 + y + y = 44

8 + 2y = 44

2y = 36

y = 18

A team of 4 golfers scored 69,73,70, and 74 on the first round on apar 72 course. They reduced their team score by 3 on the second
round.
a) How many strokes above or below par was the team score on the
first round?

Answers

Answer: There are 2 strokes below par that the team has scored in the first round.

Step-by-step explanation:

Since we have given that

Scores of a team

69, 73, 70 and 74

on the first round on a part 72 course.

Now, we need to find the number of strokes above or below the par.

So, we will compare all the scores with 72.

So,

69-72 = -3(below par)

73-72 = 1 (above par)

70-72= - 2 (below par)

74-72 = 2 ( above par)

So, Number of strokes above or below par is given by

$-3+1-2+2\n\n=-2$

Hence, there are 2 strokes below par that the team has scored in the first round.

Determine the solution for x2 + 36 > 12x

Answers

$\huge\text{Hey there!}$

$\large\boxed{\mathsf{x^2 + 36 > 12x}}$

$\large\text{SUBTRACT 12x to BOTH SIDES.}$

$\large\boxed{\mathsf{\rightarrow x^2 + 36 - 12x = 12x - 12x}}$

$\large\text{SIMPLIFY IT!}$

$\large\text{NEW EQUATION: }\large\boxed{\mathsf{x^2 - 12x + 36 = 0}}$

$\large\text{FACTOR the LEFT side: \boxed{\mathsf{(x - 6)(x - 6) = 0}}}$

$\large\text{We get: \boxed{\mathsf{x = 6}}}$

$\large\text{CHECK to make sure you have intervals with the equations.}$

$\large\text{Either of these inequalities should work with your given inequality}\downarrow$

$\large\text{YOUR ANSWERS..}$

$\large\boxed{\mathsf{x > 6}}\n\n\large\boxed{\mathsf{x < 6}}$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

Answer:

its d

Step-by-step explanation: i just did it

Which of the following is a RATE?12 to 3

12 stickers to 3 students

Answers

Answer:

gfgfcvfvghcghccghcgcvchdcfgcfcfrtyc

Step-by-step explanation:

Solve the right triangle ABC, with C = 90.00◦ , a = 15.21 cm, b = 17.34 cm. Round to two decimal places.

Answers

Answer:

the hypotenuse side, c = 23.1 cm

angle A = 41.26 ⁰

angle B = 48.74 ⁰

Step-by-step explanation:

Given;

first leg of the right triangle, a = 15.21 cm

second leg of the right triangle, b = 17.34 cm

Angle C = 90 ⁰

The missing parameters;

the hypotenuse side = c

angle A

angle B

Use Pythagoras theorem to calculate the missing side "c", which is the hypotenuse

c² = a² + b²

c² = (15.21)² + (17.34)²

c² = 532.02

c = √532.02

c = 23.1 cm

The missing angle A is calculated as;

$tan(A) = (a)/(b) \n\ntan(A) = (15.21)/(17.34) \n\ntan(A) = 0.8772 \n\nA = tan^(-1) (0.8772)\n\nA = 41.26^0$

The missing angle is calculated as;

B = 90⁰ - A

B = 90⁰ - 41.26⁰

B = 48.74⁰

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