Test your knowledge of lines with the following:

Answer:

If the discriminant of the quadratic equation is zero then it will have 2 equal roots.

If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots.

If the discriminant of the quadratic equation is less than zero then it will have no roots.

Step-by-step explanation:

hope this helped

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

Answer:

- 5 / 7

Step-by-step explanation:

1 - 6 = - 5

4 - - 3 = 7

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:

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:

[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)

Roots are determined analytically by the Quadratic Formula:

[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]

[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]

The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].

[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:

[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]

[tex]k \approx \pm 0.028[/tex]

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

Answer:

the coefficient of x is an implied 1

any variable that's by itself without a coefficient has an implied 1

Step-by-step explanation:

I hope this helps :)

Answer:

They have the same slope

Step-by-step explanation:

slope=4

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: C

Step-by-step explanation:

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:

0.390%

Step-by-step explanation:

100-36=64

25÷64=0.390625

Answer:

2.6

explanation:

100-36=64

64/25= 2.6

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:

1

Step-by-step explanation:

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

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:

18

Step-by-step explanation:

Answer:

none

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:

Answer is true.

Hope this helps.

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

Answer:

x=40

Step-by-step explanation:

to get from 3 to 15, you multiply by 5

multiply 8 by 5 and you get 40

x is 40

please give me brainliest!!<3

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:

A

Step-by-step explanation:

61 inches

Step-by-step explanation:

61inches is answer.. .. ..

Answer:

Hello as fast as i can answer 18.

Step-by-step explanation:

Reason 20 times 5 equals a 100

so 18 times 5 equals 90.

there for 18 is your answer.

-

Have a good day.

Answer:

C. 18

Step-by-step explanation:

90% of 20 is 18! Good luck!

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:

It's C :)

Step-by-step explanation:

Next time check the y-intercept

Green has a intercept of 1

and purple has -3

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