Which of the following rational functions is graphed below?

Answer:

f(x) is linear

g(x) is exponential

Step-by-step explanation:

A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.

First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:

[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]

All of these points are the same distance apart on the y, so f(x) must be a linear function.

Now look at g(x). These are also all equally distant at only 1 unit apart.

[tex]30-10=20\\90-30=60\\270-90=180[/tex]

These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.

Answer:

no

Step-by-step explanation:

Proportinal relationships follow the equation y = kx k is the constant of proportianality

The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .

A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.

There are 4 different points of concurrency in the triangle are:

1. Circumcenter

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

For an obtuse-angled triangle, the circumcenter lies outside the triangle.

For a right-angled triangle, the circumcenter lies at the hypotenuse.

2. Incenter

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

3. Centroid

The point where three medians of the triangle meet is known as the centroid.

4. Orthocenter

The point where three altitudes of the triangle meet is known as the orthocenter.

For an obtuse-angled triangle, the orthocenter lies outside the triangle.

According to the question

The point of concurrency in a right triangle is also the midpoint of the hypotenuse.

According to the Triangle Concurrency Points

For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.

Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .

To know more about Triangle Concurrency Points here:

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Answer:

Step-by-step explanation:

4x - 1 = 3(x + 1)

4x - 1 = 3x + 3   [remove the parentheses by multiplying each term by 3]

4x  = 3x + 4       [add 1 to both sides]

1x  =   4               [Subtract 3x from both sides]

x = 4

===

Try it:

4x - 1 = 3(x + 1):  ??

4*4 - 1 = 3(4 + 1) ??

15 = 3(5)

15 = 15 yes

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

https://brainly.com/question/11631534

M list the sides of ABC in order from shortest to longest

Sum of angles in a triangle = 180

Angles A + B + C = 180

80 + 3x + 5 + 5x - 1 = 180

3x + 5x = 180 - 80 - 5+1

8x = 96

x = 96/8

x = 12

So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59

Angle A = 80, B = 41, C = 59

So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.

So from the smallest to biggest side:

AC < AB < BC

Arigatou gozaimasu!!

Answer:

74 degrees

Step-by-step explanation:

Start w/180 degrees. (The total measure of a triangle.) Then subtract 106 (the sum of the 2 known angles) from 180. We then get 74 degrees (The measure of the missing angle)

Answer:

y-2 = 5(x-3)

Step-by-step explanation:

-

Hope that helps

Answer:

Step-by-step explanation:

Hello!

2nd equivalent fraction to is 5/7 is 10/14.

Other equivalent fractions are 15/21, 20/28, 50,70...

I hope this helps,

Have a great day!

Answer: I hope this helps! :)

x = -3

Answer: x=-3

Answer:

Step-by-step explanation:

Conclusion:

Therefore, x = -3

Hoped this helped.

[tex]GeniusUser[/tex]

I'm pretty sure the answer is y=x+5

Answer:

The answer is B

Step-by-step explanation:

you know that x is quarters which is .25 and you know that y is nickels which is .05

there are a total of 13 coins in the bank so x+y = 13

you also know that the 13 coins = 3.55

so plug in all that you know and the problem is

0.25x + 0.05y = 3.55

Answer:

(0, -8)

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Answer: original price= $8

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 8 × 20/100

Discount = 8 x 0.2

You save = $1.60

Final Price = Original Price - Discount

Final Price = 8 - 1.6

Final Price = $6.40

Answer:

[tex] - 4( - 4x - 5) = - 4 \times - 4x - ( - 4) \times ( - 5) \\ = 16x - 20[/tex]

Answer:

[tex]16x+20[/tex]

Step-by-step explanation:

[tex]-4(-4x-5)[/tex]

[tex]\mathrm{Multiply\:}-4\mathrm{\:to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-4(-4x-5)[/tex]

[tex]-4\cdot-4=16[/tex]

[tex]-4\cdot-5=20[/tex]

[tex]=16x+20[/tex]

if any doubt leave a comment

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: C. linear

Step-by-step explanation:

Since the raise is going to be a constant amount, a 4% raise, the model will be linear.

Correct me if I am incorrect.

−5(|x−3|)−5<15

Step 1: Add 5 to both sides.

−5(|x−3|)−5+5<15+5

−5(|x−3|)<20

Step 2: Divide both sides by -5.

−5(|x−3|)

−5

<

20

−5

|x−3|>−4

Step 3: Solve Absolute Value.

|x−3|>−4

We know eitherx−3>−4orx−3<−(−4)

x−3>−4(Possibility 1)

x−3+3>−4+3(Add 3 to both sides)

x>−1

x−3<−(−4)(Possibility 2)

x−3<4(Simplify both sides of the inequality)

x−3+3<4+3(Add 3 to both sides)

x<7

Answer:

x>−1 or x<7

Answer:

  (1, 3), (2, 6), (3, 9)

Step-by-step explanation:

Dividing the first given ratio by 7 gives ...

  7/7 : 21/7 = 1 : 3

Multiplying this by 2 and 3 gives the other ratios you want.

  = 2(1) : 2(3) = 2 : 6

  = 3(1) : 3(3) = 3 : 9

The equivalent ratios are (1, 3), (2, 6), (3, 9).

Answer:

C) Graph A and Graph C

Step-by-step explanation:

A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.

Graph b does not show a straight line so B does not show a proportional relationship.

Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.

Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.

Thus, the answer is C) Graph A and Graph C

Step-by-step explanation:

There are 17 hours between 7:45 to 1:00

Answer:

the answer is 28 for the area.

Answer:

the next is -2 × 5 = - 10

Step-by-step explanation:

the sequence is times 5

Answer:

768

3/10 times 2560 simply equals 768 after the calculations are done

Answer:

3/4×7

= 0.75×7

=5.25

7×3/4

=7×0.75

=5.25

3×7/4

=3×1.75

=5.25

all answer is same so, however we do all answer come 5.25

this way they all are related