Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?

Answer:

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

   [tex]y=a(x-b)^2+c[/tex]

and then, the line of symmetry will be the line x = b

Let's do it !

[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]

So the line of symmetry is

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.

Step-by-step explanation:

The formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Continuous growth in the initial amount P, after time period t, and at the rate of r per time period gives the final amount as: [tex]A = Pe^{rt}[/tex]

In the question, we are asked to suppose that a population begins at a size of 100, and grows continuously at a rate of 200% per year, and are asked for the formula for calculating the size of that population after t years.

The given case can be shown as a continuous growth, with:

Initial population, P = 100,

Rate of growth, r = 200% = 2, and,

The time period, t years.

Thus, the formula for calculating the size of that population after t years can be shown using the formula: [tex]A = Pe^{rt}[/tex], as:

[tex]A = 100e^{2t}[/tex].

Hence, the formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Learn more about continuous growth at

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Answer:

[tex]\huge\boxed{(2;\ 4)}[/tex]

Step-by-step explanation:

We have

[tex]y>-x^2+5[/tex]

Put the coordinates of the given points and check the inequality:

For (0; 5) → x = 0; y = 5

[tex]5>-0^2+5\\5>0+5\\5>5\qquad\bold{FALSE}[/tex]

For (2; 4) → x = 2, y = 4

[tex]4>-2^2+5\\4>-4+5\\4>1\qquad\bold{TRUE}[/tex]

For (1; 3) → x = 1, y = 3

[tex]3>1^2+5\\3>1+5\\3>6\qquad\bold{FALSE}[/tex]

Answer:

y>-x²+5

taking(0, 5)

5>-0²+5

5>5 false

taking 2,4

4>-2²+5

4>-4+5

4>1 true

taking 1,3

3>-1²+5

3>6false

so 2,4 is your answer

Answer:

B

Step-by-step explanation:

Sqaure roots can be rewritten as fractions.

The numerator will be rewritten as 6^(1/4)

The denominator will he written as 6^(1/5)

Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)

The denominator stays the same so you are left with 1/20 which is still the power over 6

6^1/20

Answer:

[tex]6^{\frac{1}{20} }[/tex]

Step-by-step explanation:

[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]

1/4 - 1/5 = 1/20

Answer:

Jared attempted 60 shots.

Zach attempted 70 shots.

Step-by-step explanation:

Answer:

210.8 (mean for Luis), 241.5 (mean for Darcy)

Step-by-step explanation:

Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108

2108/10 = 210.8 (mean for Luis)

Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415

2415/10 = 241.5 (mean for Darcy)

Answer:

it is 210.8

Step-by-step explanation:

Answer:

The nth term of the sequence is

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

= 7 + 2n - 2

Hope this helps you

Answer:

Step-by-step explanation:

Probability of getting any number less than 6 = 2/6 =1/3

So, It is unlikely

Answer:

2/6 or 1/3

Step-by-step explanation:

the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify

Answer:

[tex]\frac{n}{4}-1[/tex]

Step-by-step explanation:

If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.

Now, Harris is one of those friends so he receives  [tex]\frac{n}{4}[/tex]  slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].

Hope this helped!

Answer:

(n/4 - 1) slices

Step-by-step explanation:

The pizza would be divided into n slices, which in turn would be split among 4 people:

   n slices

----------------- = (n/4) slices per person

  4 people          

Harris must have eaten (n/4 - 1) slices.

Answer:

  D) G

Step-by-step explanation:

E evaluates to 3.8 +0 = 3.8 . . . not an integer

F evaluates to 0 +0.5 = 0.5 . . . not an integer

G evaluates to -8 +0 = -8 . . . an integer

H evaluates to 9/0 = undefined . . . not an integer

__

Expression G evaluates to an integer.

Answer:

add 10 on both sides

7<X

So X has to be bigger than 7

So 8,9,10, and 1000 can all be X.

Step-by-step explanation:

Answer:

7 < x

Step-by-step explanation:

the inequality is -3< x-10

any number that is greater than 7 can be a solution

Answer:

Once

Step-by-step explanation:

She needs 1 cup of milk.

She has a cup measuring cup.

Therefore she will only to fill the measuring cup to pour cup of milk.

Answer:

1

Step-by-step explanation:

Answer:

Amplitude = 3

Step-by-step explanation:

Given

The sine curve above

Required

Determine the amplitude

To determine the amplitude of a sine curve, we have to calculate the distance between the horizontal line of the curve and the top or bottom of the function

Using the top of the curve as a point of reference;

Amplitude = Top of curve - Horizontal Line.

The horizontal line is always at point 0

From the graph above, the top of the curve is at point 3

Hence,

Amplitude = 3 - 0

Amplitude = 3

Hi there, again! Hopefully this helps, again!

------------------------------------------------------------------------------------------------------------

Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.

Answer:

Below

Step-by-step explanation:

● 2-a > -12+4

●2-a > -8

Substract 2 from both sides

● 2-a-2 > -8-2

● -a > -10

Multiply both sides by -1 and switch the sign

● a < 10

So if a is less than 10 we aren't sure if it is less than 6 but it could be greather than it .

Yes, you are correct! The six is bigger because it comes down to a negative number when subtracting from 2

hope this helps!

Answer:

There's two of them, of which are the 3rd and 5th option

Step-by-step explanation:

The formula for calculating a prism is length times width, times the height because it is a 3d object. Length times width is the same as B(base), so those two are the exact same. Don't let that fool you.

Here's a little abstract context:

You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.

Answer:

no

Step-by-step explanation:

the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.

Answer:

The graph of the equation y=3x-2 is shown in the picture below!!

Step-by-step explanation:

I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!

Answer:

320

Step-by-step explanation:

0.83333333x384=319.9999999=320

Answer:

[tex]a_{n}[/tex] = 10.5 - 3n

Step-by-step explanation:

The explicit rule for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A recursive formula has the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d ( where d is the common difference )

Given

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 ⇒ d = - 3

Thus explicit rule with a₁ = 7.5 and d = - 3

[tex]a_{n}[/tex] = 7.5 - 3(n - 1) = 7.5 - 3n + 3 = 10.5 - 3n

Answer:

C. Real numbers from 0 to 8

Step-by-step explanation:

Given:

The graph above

Required

Determine the domain of the graph

The first step is to get the range of the depth of the pond

[this is plotted along the y axis]

The highest plot on the y axis is 95 and the least is 0

The next is to determine the corresponding time for the value listed above

When y = 95, x = 0

When y = 0, x = 8

The domain is x: 0 to 8

From the list of given options, option C correctly answers the question.

Answer:

z = 96; x = 8.

Step-by-step explanation:

z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.

The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.

5x + 44 + 96 = 180

5x + 140 = 180

5x = 40

x = 8

Hope this helps!

Answer:

x=11.2

Step-by-step explanation:

Add the equations.

-10y=40

y=-4

input y

5x-8=48

5x=56

x=56/5

x=11.2

Answer:

x = 11.2 and y = -4

Step-by-step explanation:

Add the two equations

-5x -12y = -8

5x+2y = 48

-------------------

-10y = 40

Divide by -10

-10y/10 = 40/-10

y = -4

5x+2y = 48

5x +2(-4) = 48

5x -8 = 48

Add 8 to each side

5x = 56

Divide by 5

5x/5 = 56/5

x = 56/5

x =11.2

The equation turns into:

400+70+6+0.6+0.03+0.07

which equals:

476.637

The second equation becomes 4+ 68/1000, which becomes 4.068.

Hope this helps!

Answer:

Step-by-step explanation:

A region is said to be closed if it is completely

enclosed by its constraints

A region is said to be a closed area if it is completely enclosed by its constraints.

The space occupied by any two-dimensional figure in a plane is called the area. For example, the space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle is given by the formula below:-

Area = πr²

Where r is the radius of the circle.

Therefore, the region is said to be a closed area if it is completely enclosed by its constraints.

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The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.

Answer:

true

Step-by-step explanation:

Answer:

y>x+4 (A,B)

y≤3x (B,C,D,E,F)

x≥7(A,B,D)

i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!