find the unit rate (constant of proportionality) for bobby

9514 1404 393

Answer:

  (x, y) = (1, 8)

Step-by-step explanation:

A graphing calculator quickly tells you the point of intersection.

__

You can equate the y-values and solve for x.

  3x +5 = -2x +10

  5x = 5 . . . . . . . . . add 2x-5

  x = 1 . . . . . . . divide by 5

  3·1 +5 = y = 8 . . . . substitute for x in the first equation

The point of intersection is (x, y) = (1, 8).

Answer:

It's C :)

Step-by-step explanation:

Next time check the y-intercept

Green has a intercept of 1

and purple has -3

Answer:

1.5%

Step-by-step explanation:

Answer:

divide 88 by the number of x

88/8= 11

X = 11

Answer:

x=11

Step-by-step explanation:

8x=88

You use inverse operation which means you would divide 8 on both sides to isolate x on one side resulting in x=11

Answer:

72 (d)

Step-by-step explanation:

I did the math

Answer:

ummm  you are going to do terrible on on your test jk

Step-by-step explanation:

Answer:

The "de" part means oppsite to whats behind it I think

Step-by-step explanation:

Answer:

Because acceleration means to gradually speed up, while deceleration means to gradually slow down.

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

Answer: A

Step-by-step explanation:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

Answer:

The other person is correct

Step-by-step explanation:

i got a 100

Answer:

a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

                                               Function f(x)

Given the function f(x)

x            f(x)

-3          -0.5

-2           0

-1            0.5

0             1

Finding the slope between any two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)[/tex]

[tex]m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}[/tex]

[tex]m=0.5[/tex]

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

                                             Function g(x)

Taking two points from the given graph of g(x)

Finding the slope between (1, 0) and (0, 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)[/tex]

[tex]m=\frac{2-0}{0-1}[/tex]

Refine

[tex]m=-2[/tex]

Thus,

The slope of g(x)  = -2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

Thus, the y-intercept of g(x) = 2

Conclusion:

FOR function f(x)

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

FOR function gx)

The slope of g(x) = -2

The y-intercept of g(x) = 2

Thus:

a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

Apply l'Hopital's rule:

[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]

where

[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]

follows from the fundamental theorem of calculus.

Answer:

Answer is true.

Hope this helps.

Answer:

Step-by-step explanation:

let the length of a leg of right angled associate triangle=x

x²+x²=(5√6)²

2x²=150

x²=150/2=75

x=√75=5√3

Answer:

[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope

Step-by-step explanation:

Given

Perpendicular to [tex]y = 4x[/tex]

Required

Determine its equation

The general form of an equation is:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = 4[/tex]

Next, we calculate the slope of L.

Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4 for m

[tex]m_2 = -\frac{1}{4}[/tex]

The equation of L in slope intercept form is: [tex]y = mx + c[/tex]

Substitute -1/4 for m

[tex]y = -\frac{1}{4}x + c[/tex]

In point slope form, we have:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute -1/4 for m

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]

Answer:

y-4=-1/4(x-1)

y=-1/4x+17/4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100

divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.

then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.

Answer:

x²+x-1=0

3x²-12x-9=0

Undefined

Answer:

look it up

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Since the variables dont have any numbers next to them, 1 is the coefficient for x and y

Answer:

Anil runs more by 180m.

Step-by-step explanation:

Given that:

Length of side of square park = 90 m

We will find the perimeter.

Perimeter = 4s

Perimeter = 4(90) = 360 m

Measurements of rectangular parks = length 50 m and width 40 m

Perimeter = 2(Length + Width)

Perimeter = 2(50+40) = 2(90) = 180 m

360 m > 180m

Difference = 360 - 180 = 180 m

Hence,

Anil runs more by 180m.

Answer:

They have the same slope

Step-by-step explanation:

slope=4

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

Answer: C

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

- 5 / 7

Step-by-step explanation:

1 - 6 = - 5

4 - - 3 = 7

Answer:

Graph ii and iii

Step-by-step explanation:

In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.

Answer:

A

Step-by-step explanation:

61 inches

Step-by-step explanation:

61inches is answer.. .. ..