How do I find out what f(x) is if the graph defines h(x)

Answer:

Phoebe surveyed teens and adults to find the average number of hours of sleep they get during the week. Her results are shown below. Which statement regarding her survey results is true?

Hours of Sleep for Teens

A box-and-whisker plot. The number line goes from 1 to 12. The whiskers range from 2.5 to 12, and the box ranges from 5 to 8.5. A line divides the box at 7.

adult have less variability in the sleep hours because well they work more then us and us teens we have school starting at 7:45 am and the adult have to wake up to go to work or having to stay up

hope this can help

Answer:

The related variation will be:

Step-by-step explanation:

We know that when 'y' varies inversely with 'x', we get the equation

y ∝ 1/x

y = k × 1/x

Here 'k' is the constant of proportionality

Given that the altitude H of a cylinder with a constant volume V is inversely proportional to the square of its radius R.

so the equation can be mapped as

H ∝ 1/R²

H = k/R²

In this case, the k is the constant volume. i.e. V = k

Thus, the equation becomes

H = V/R²

where H is the altitude, V is the constant volume and R is the radius.

Therefore, the related variation will be:

The variation equation showing the relationship between H, V and R is given by H = VR²

A direct proportional relationship is that in which as one variable increases the other variable increases and vice versa.

An indirect proportional relationship is that in which as one variable increases the other variable decreases and vice versa.

Let H represent the altitude and R represent the radius.

H ∝ R²

H = VR²; V (volume) is the constant of proportionality

The variation equation showing the relationship between H, V and R is given by H = VR²

Find out more at: https://brainly.com/question/13977805

Answer:

x > 1 The open cicle dot should be on 1 and should go beyond 1. So 1,2,3,4...etc

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

It helps when u make a table using the points given

x         y

1          6

3         2

from 6 to 2 you need to subtract 4

from 1 to 3 you need to add 2

now its y/x

4/2 = 2

Since the line is going down that means your slope is negative so...

-2 will be your slope

Hope this helped!

Answer:

The slope is -2.

Step-by-step explanation:

There are two ways to solve this problem.

1st way is by looking at the graph:

*Identify what the rise over run is. In this case, it woult be 2 over 1 which if you divide 2÷1, it would be 2.

*Then, if the graph is going down, the slope is negative, and if the graph is going up, the slope is positive. If it's vertical, the slope is undefined, and if it's horizontal, the slope is zero. Since, it's going down, your slope would be negative.

2nd way is by subtracting y2 - y1 and x2 - x1:

(The order doesn't matter as long as you are subtracting correctly)

* First, 6 minus 2 is 4, and 1 minus 3 is  -2. After, divide 4 by -2, and you'll end up with -2.

* Or you can do it the other way round. First, 2 minus 6 is -4, and 3 minus 1 is 2. After, divide -4 by 2, and you'll end up with -2

Answer:

104

Step-by-step explanation:

Answer:

appreciate it man

Step-by-step explanation:

best of luck

Answer:

.00059 or .0006

Step-by-step explanation:

You are trying to find what won't be in the water because there are many combinations so you use a complement formula.

1-0.79=0.29

Use the left over percentage in an equation to determine the probability.

[tex]1-(0.29)^6=0.000594823[/tex]

The exponent 6 comes from the number of locations.

Answer:

.8719

Step-by-step explanation:

This is an educated guess feel free to give a negative review if I'm wrong

Answer:

15.87% portion of oak trees in this forest have a circumference greater than 21 inches

Step-by-step explanation:

Given that

Mean = μ = 19.7 inches

SD = σ = 1.3 inches

We have to find the probability of circumference greater than 21 inches

Let x = 21 inches

First of all we have to find the z-score of the value

z-score is given by the formula

[tex]z = \frac{x-mean}{SD}[/tex]

Putting the values

[tex]z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1[/tex]

We will use the z-score table to find the probability of x<21

P(z<1)  = 0.8413

The value gives us the area under the curve up till that value

To find the greater than probability, we have to subtract less than probability from 1.

P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%

Hence,

15.87% portion of oak trees in this forest have a circumference greater than 21 inches

Answer:

1. 2x + 1 ≤ 3

2. 1 + 3x ≥ -5

3. 5x - 7 ≥ 17

4. 5 - 3x ≥ 11

Step-by-step explanation:

Ok

5x - 7 ≥ 17

subtract 7 and u get 5x ≥ 10

divide that and you get ≥ 2

so 3 goes with that one

1 + 3x ≥ -5

subtract 1 and you get 3x ≥ -6

divide that and youll get x ≥ -2

so 2 goes with this one

2x + 1 ≤ 3

subtract 1 and u get 2x ≤ 2

divide them and you get x ≤ 1

so 1 goes with this one

5 - 3x ≥ 11

subtract 5 and u get -3x  ≥ 6

divide it and u get x ≥ -2

so 4 goes with this one

Hoped this helps :)

also btw Brainly steals half the points you give out so instead of 15 ur giving me 25.

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]8160 = 34000*4.8*T/100[/tex]

cross multiply we have

[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]

divide both sides by 163200

[tex]816000/163200= T\\\\T= 5 years[/tex]

Answer:

c

Step-by-step explanation:

20 to 16 is 20% trust me lol

Answer:

The answer is B

Step-by-step explanation:

Answer:

Part I)

[tex]a=-1\text{ and } c=2[/tex]

Giving the equation:

[tex]y=-x^3+x+2[/tex]

Part II)

(-1, 2)

Step-by-step explanation:

We have the equation:

[tex]y=ax^3+x+c[/tex]

Where a and c are constants.

We are given gradient/slope of the curve at the point (1, 2) is -2.

Part I)

We know that the gradient of the curve exactly at the point (1, 2) is -2.

So, we will differentiate our equation. We have:

[tex]\displaystyle y=ax^3+x+c[/tex]

Differentiate both sides with respect to x:

[tex]\displaystyle y^\prime=\frac{d}{dx}\big[ax^3+x+c\big][/tex]

Expand the right:

[tex]\displaystyle y^\prime=\frac{d}{dx}\big[ax^3]+\frac{d}{dx}\big[x\big]+\frac{d}{dx}\big[c\big][/tex]

Since a and c are simply constants, we can move them outside:

[tex]\displaystyle y^\prime=a\frac{d}{dx}\big[x^3]+\frac{d}{dx}\big[x\big]+c\frac{d}{dx}\big[1\big][/tex]

Differentiate. Note that the derivative of a constant is simply 0.

[tex]\displaystyle y^\prime=3ax^2+1[/tex]

We know that at the point (1, 2), the gradient/slope is -2.

Hence, when x is 1 and when y is 2, y’ is -2.

So (we don’t have a y so we can ignore it):

[tex]-2=3a(1)^2+1[/tex]

Solve for a. Simplify:

[tex]-2=3a+1[/tex]

Subtract 1 from both sides yield:

[tex]-3=3a[/tex]

So, it follows that:

[tex]a=-1[/tex]

Therefore, our derivative will be:

[tex]y=-3x^2+1[/tex]

Now, we can go back to our original equation:

[tex]y=ax^3+x+c[/tex]

Since we know that a is -1:

[tex]y=-x^3+x+c[/tex]

Recall that we know that a point on our curve is (1, 2).

So, when x is 1, y is 2. By substitution:

[tex]2=-(1)^3+1+c[/tex]

Solve for c. Simplify:

[tex]2=-1+1+c[/tex]

Then it follows that:

[tex]c=2[/tex]

Hence, our entire equation is:

[tex]y=-x^3+x+2[/tex]

Part II)

Our derivative is:

[tex]y^\prime=-3x^2+1[/tex]

If the gradient is -2, y’ is -2. Hence:

[tex]-2=-3x^2+1[/tex]

Solve for x. Subtracting 1 from both sides yields:

[tex]-3=-3x^2[/tex]

So:

[tex]x^2=1[/tex]

Then it follows that:

[tex]x=\pm1\\[/tex]

Since we already have the point (1, 2) where x is 1, our other point is where x is -1.

Using our equation:

[tex]y=-x^3+x+2[/tex]

We can see that our second point is:

[tex]y=-(-1)^3+(-1)+2[/tex]

Simplify:

[tex]y=1-1+2=2[/tex]

So, our second point where the gradient is -2 is at (-1, 2).

Answer:

To calculate the perimeter of a circle we have this formula:

[tex]P = 2\pi r[/tex]

And, if we're going to calculate for a semicircle, we should divide it by 2

We should also take into account the diameter, as, if it's a semicircle, we also have to add the base of it, which will have the diameter length

Knowing this, we can see the formula to calculate this specific perimeter

[tex]\frac{2\pi r}{2} + 2r[/tex]

Now, we can replace r by 22:

[tex]\frac{2\pi *22}{2} + 2*22 \approx 113.12[/tex]

So the perimeter is approximately 113.12 cm

Answer:

[tex]x<3[/tex]

Step-by-step explanation:

STEP 1: Move all terms not containing [tex]x[/tex] to the right side of the inequality.

[tex]5x<15[/tex]

STEP 2: Divide each term by [tex]5[/tex] and simplify.

[tex]x<3[/tex]

STEP 3: The result can be shown in multiple forms.

Inequality Form:

[tex]x<3[/tex]

Interval Notation:

[tex](-[/tex]∞[tex],3)[/tex]

Answer:

[tex]39.5,44.5[/tex]

Step-by-step explanation:

[tex]Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ first\ interval\ be\ u_1,v_1.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ second\ interval\ be\ u_2,v_2.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ third\ interval\ be\ u_3,v_3.\\Hence,\\As\ the\ class\ marks\ are\ uniform\ with\ an\ a\ difference\ of\ 5, the\\ observation\ is\ continuous\ and\ the\ class\ size\ is\ 5\ too.\\Hence,\\v_1=u_2, v_2=u_3\\[/tex][tex]Now,\\Lets\ consider\ the\ first\ two\ classes.\\37=\frac{u_1+v_1}{2} \\42=\frac{u_2+v_2}{2}\\By\ adding\ the\ equations:\\79= \frac{u_1+v_1}{2}+\frac{u_2+v_2}{2}\\79=\frac{u_1+v_1+u_2+v_2}{2}\\79=\frac{(u_1+v_2)+(v_1+u_2)}{2}\\79=\frac{(u_1+v_2)}{2}+\frac{(v_1+u_2)}{2}\\Now,\\As\ the\ mid-point\ between\ two\ points\ can\ be\ calculated\ by\\ its\ average:\frac{u+v}{2} \\Hence,\\u_2\ lies\ in\ the\ mid-point\ of\ u_1\ and\ v_2.\\u_2=\frac{(u_1+v_2)}{2}\\[/tex]

[tex]Hence,\\By\ substituting\ u_2=\frac{(u_1+v_2)}{2},\\79=u_2+\frac{v_1+u_2}{2}\\As\ v_1=u_2[Proven],\\79=u_2+ \frac{u_2+u_2}{2}\\79=u_2+\frac{2u_2}{2}\\79=2u_2\\Hence,\\u_2=\frac{79}{2}\\u_2=39.5\\Now,\ as\ we\ already\ know\ that\ the\ class\ size=5,\\v_2-u_2=5\\Hence,\\v_2=5+u_2\\Here,\\v_2=5+39.5\\v_2=44.5\\Hence,\\The\ upper\ limit\ of\ the\ second\ interval=44.5\\The\ lower\ limit\ of\ the\ second\ interval=39.5\\[/tex]

Answer:

(0,5)

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Answer:

3

Step-by-step explanation:

3p - 1 = 5(p-1) -2(7-2p)

(simplify)

3p -1 = 5p-5-14+4p

3p-1 = 9p-19

(make p the subject)

3p-9p = -19+1

-6p = -18

p = -18/-6

p = 3

es 6

Step-by-step explanation:

3p-1=  5p-5-14mas4p

3p-4p-5p= -5-14mas1

3p-4p-5p= -18

3p-9p=-18

_3p=-18

p=-18:-3

p=6

Answer:

-2,-2

Step-by-step explanation:

-

Answer:

................(-2,-2)

Answer:

Weak positive correlation

Step-by-step explanation:

Just trust me

Also it’s positive in a graph but it’s not changing that much so it’s weak

Answer:

r=100.1x

Step-by-step explanation:

Answer:

55      91

 —— • (x^——)

 10      5

Step-by-step explanation:

Answer:

x = -84

y = -21

Step-by-step explanation:

4 - y = 17

4y = x

Use the first equation to solve for y

4 - y = 17

y = 4 -  17

y = -21

In the second equation, get y on its own.

4y = x

y = x/4

Substitute the new second equation into the new first equation

-21 = x/4

-21 * 4 = x

x = -84

Answer:

The answer is 8³

Step-by-step explanation:

I think the letter f represents a hidden potential cubic number

Answer:

x=2

Step-by-step explanation:

Answer:

D.

Step-by-step equation:

I don't know but i think this is the answer.

The roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.

A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.

For the given situation,

The equation is 9x^2 + 3x – 4 = 0

The roots of the equation can be found by the formula,

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

here, a = 9, b = 3 and c = -4

Substitute the above values,

⇒ [tex]x=\frac{-3+\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex] or  [tex]x=\frac{-3-\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex]

⇒ [tex]x=\frac{-3+\sqrt{9+144 } }{18}[/tex]          or  [tex]x=\frac{-3-\sqrt{9+144 } }{18}[/tex]

⇒ [tex]x=\frac{-3+\sqrt{153 } }{18}[/tex]             or  [tex]x=\frac{-3-\sqrt{153 } }{18}[/tex]

⇒ [tex]x=\frac{-3+12.36 }{18}[/tex]             or  [tex]x=\frac{-3-12.36 }{18}[/tex]

⇒ [tex]x=\frac{9.37}{18}[/tex]                    or  [tex]x=\frac{-15.37}{18}[/tex]

⇒ [tex]x=0.5205[/tex]                or  [tex]x=-0.8538[/tex]

Hence we can conclude that the roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.

Learn more about quadratic equation here

https://brainly.com/question/12014272

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Answer:

4. the answer is 20      

5. x=12 y=30

6. MLV = TUV bySSS

7. ABC=HGF by SSS

to show work:

4. 15/12=25/x      (cross multiply)

  =15x=300         (divide both sides by 15)

  =  x=20    

5. the triangle is equilatieral so all the angles are the same. this means 60=2y.

if you isolate the variable and divide both sides by 2, you get y=30

6. 49/14 = 28/8 ?

if you solve both the division problems, they both equal 3.5, meaning the side lengths are the same so the rule would be SSS or side side side

and you do the same thing with the next triangle too

hope this helps!! also brainliest would be nice but you dont have to

Answer:

slope is 2

Step-by-step explanation:

-11-(-1) =-10

4-9=-5

-10/-5

=2

Slope-2x

Hey,

The answer is 55

I wrote the solution, you can look.

Good luck :)

Answer:

The answer is 7x-25

Step-by-step explanation:

(3x+5)+(4x-30)

=3x+4x+5-30

=7x-25

Answer:

(3x+4x) + (5-30)

Step-by-step explanation:

For this problem which is all addition and subtraction it is simply having you combine like terms or rather terms with same variables (3x and 4x).  You just need to be careful with the signs when you rewrite the problem so when you solve you get the correct answer.  Example if you were to solve this one you would combine your numbers with variable of x  and then the numbers without the variable:

(3x+4x) +(5-30)

7x + -25 or 7x-25