what is the slope and y intercept of y=3?

Answer: Yes, Mean Value Theorem for Integrals applies for the function [tex]f(x)=3-x^{2}[/tex] and values of x are 1 and -1

Step-by-step explanation: Mean Value Theorem for Integrals states that if a function is continuous on a closed interval, there is a value c on the interval such that

[tex]f(c)=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex]

where a and b are the closed interval given

As the graph of [tex]f(x)=3-x^{2}[/tex] shown below, the function is continuous on the interval [0,[tex]\sqrt{3}[/tex]], so the theorem applies.

To find the x-coordinates, first determine value of f(c) at [0,[tex]\sqrt{3}[/tex]]:

[tex]f(c)=\frac{1}{\sqrt{3} -0} \int\limits {3-\sqrt{x^{2}} } \, dx[/tex]

[tex]f(c)=\frac{1}{\sqrt{3}}[3x-\frac{x^{3}}{3} ][/tex]

[tex]f(c)=\frac{1}{\sqrt{3}}[ 3\sqrt{3}-\frac{(\sqrt{3})^{3}}{3} ][/tex]

[tex]f(c)=\frac{1}{\sqrt{3} } [2\sqrt{3} ][/tex]

f(c) = 2

The x-coordinates will be:

[tex]f(x)=3-x^{2}[/tex]

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

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

[tex]x=\sqrt{1}[/tex]

x = ±1

The values for x guaranteed by the Mean Value Theorem are +1 and -1.

Answer:

(2,-5)

Step-by-step explanation:

rule: (x,y) ---> (x,-y)

(2,5) ----> (2,-5)

The solutions to the blanks are Circle, y-axis and 5 units, respectively.

The equation of the circle whose center is coordination at (h,k) and radius is r will be

(x -h)² +(y -k)² = r²

where (h,k) is the coordination of its center and r is the radius.

We have,

r = 5 sinΘ

So,

When the center of the circle is at origin (0,0);

Then x² + y² = r²

So,

We have, r = 5 sinΘ

So,

For 0 ≤ θ ≤ π,

The circle is developed above the x-axis and  symmetrical about the y-axis (θ=π/2)

The circle has a radius of 5/2, centered at (0, 5/2), so the diameter is 5 units.

And hence the greatest distance between any two points on a graph is 5 units.

Therefore, the solutions to the blanks are Circle, y-axis, and 5 units, respectively.

Learn more about the circle here:

https://brainly.com/question/17357009

#SPJ2

Answer:

30 triangular tiles and 20 square tiles

Step-by-step explanation:

hope this helps

Answer:

The constant term is 240. A constant term represents a fixed value. In other words, a term that does not change.

Step-by-step explanation:

In the polynomial expression given, the first and second terms are dependent of x, which means whatever the value x is, the terms will change. For example, if x = 2, we have -7(4) + 32(2) + 240. As you can see the constant never changes because it does not rely on a variable; it is constant.

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

Hope this helps

Answer:

its 3/2

Step-by-step explanation:

6(3n-3)=9

18n -18=9

     +18   +18

18n=27

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

18     18

27/18=3/2

n=3/2

Answer:

1200 centimeters

Step-by-step explanation:

if you have 100 centimeters in 1 meter and there are 12 meters you can just multiply the number of centimeters by 12 or whatever number is needed in this case 12 so when you multiply 12 x 100 you get 1200

Answer:

4

Step-by-step explanation:

a triangle has angles that add up to 180°

an equilateral triangle has equal angles

so each angle is 60° (because 180/3 is 60)

so 10x +20 = 60

10x = 40

x = 4

Answer:

4 14/15

Step-by-step explanation:

Answer:

next time dont answer my question saying dumb shi

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Traditionally, a radical or irrational number cannot be left in the denominator (the bottom) of a fraction. When a radical does appear in the denominator, you need to multiply the fraction by a term or set of terms that can remove that radical expression.

Answer:

Graph B

Step-by-step explanation:

edge

Answer:

The slope is 1/4.

Step-by-step explanation:

m = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.

Answer:

The slop is 1/4

Step-by-step explanation:

m = y2-y1 / x2-x1

Answer:

-3/5

Step-by-step explanation:

always remember rise by run. subtract the second y value from the first (9 minus 6) and the same with the x values (1-6). rise is y axis and run is x axis. therefore, you get 3/-5 or -3/5. (because 9-6 is 3 for the numerator and 1-6 is -5 for the denominator)

Answer:

i beleive its a yes

Step-by-step explanation:

Answer:

0.0625 or 6.25%

Step-by-step explanation:

You have a 50% chance of each die to roll a even. Since you are rolling 4 you need to times them together. So .5*.5*.5*.5=0.0625 or 6.25%

Answer:

56

Step-by-step explanation:

(14-7) x (40-32) = 7 x 8

                         = 56

Hope you understood :)

Answer:

60 dogs

Step-by-step explanation:

40/8 = 5 dogs per hour

12 x 5 = 60 dogs in 12 hours

=====================================================

Explanation:

x is some positive number such that the earnings of Paul, Collin, and Brian are 2x, 3x and 4x in that order

The ratio 2x:3x:4x reduces to 2:3:4 when we divide all parts by x

The total amount of tips was 77.40 pounds

This means,

(Paul's Share)+(Collin's Share)+(Brian's Share) = Total Tips

(2x)+(3x)+(4x) = 77.40

9x = 77.40

x = 77.40/9

x = 8.6

Use that x value to find each of their share of tips

As a check, note how 17.20+25.80+34.40 = 77.40

The last step is to subtract the values for Brian and Paul

34.40 - 17.20 = 17.20

Brian earned £17.20 more in tips compared to Paul.

Step-by-step explanation:

A(n)=-8+(n-1)(4)

A(1)=-8

A(5)=-8+16

=8

A(10)=-8+36

=18

Answer:

A.) 1018 square inches

Step-by-step explanation:

The largest sphere will have a diameter equaling the length of the cube (see picture).

If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

[tex]SA=4\pi r^2[/tex]

For this formula, we need the radius of the sphere. Divide the diameter by 2:

[tex]\frac{18}{2}=9[/tex]

The radius is 9 inches. Plug this into the equation:

[tex]SA=4\pi *9^2[/tex]

Simplify the equation:

[tex]SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87[/tex]

Round the result to the nearest whole number:

[tex]1017.87[/tex] → [tex]1018[/tex]

The surface area is 1,018 inches².

:Done

Picture:

In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.

[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]

[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]

[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]

[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]

[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]

[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]

[tex] - 7x = 21[/tex]

[tex]x = \frac{21}{ - 7} [/tex]

[tex]x = - 3[/tex]

Answer:

Step-by-step explanation:

Parabola f(x) = ax² + bx + c passing through point (x₁, y₁) means if x=x₁ then f(x)=f(x₁)=y₁

(0, 3) ⇒  3=a·0²+b·0+c    ⇒   c=3

f(x) = ax² + bx + 3

(4, -5)  ⇒  -5 = a·4² + b·4 + 3  

               -5 =  16a + 4b + 3

              -4b = 16a + 8

               b = - 4a - 2

(-1, 10)  ⇒  10 = a·(-1)² + b·(-1) + 3

                10 = a - b + 3

                 b = a - 7

a - 7 = - 4a - 2

5a = 5

a = 1

b = 1 - 7 = - 6

So the equation:

                         f(x) = x² - 6x + 3

Answer:

-3/4

Step-by-step explanation:

6x+8y=16

(subtract 6x from both sides)

8y=-6x+16

(divide everything by 8)

y=-6/8x+16

(simplify)

y= -3/4x+16

this is now in y=mx+b form. m=slope

Answer:

slope intercept form: y=5x+9

standard form: x-5/y =-9/5

Step-by-step explanation:

slope intercept form: y=mx+b, m=slope, b=y-intercept

m= 5, b=9 therefore,

y=5x+9

Answer:

w=9

Step-by-step explanation: