Which statement about the linear factors and zeros of a quadratic function is always
true?

A. The constants of the linear factors are the opposite of the function's zeros.

B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.

C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.

D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.

Answer:

C) 2/7, 1/2, 5/6, 4/2

Step-by-step explanation:

Answer:

You just have to put it into Geogebra Classic. It's a great help for this kind of stuff

Answer:

[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]

[tex]\tan(60) = \sqrt 3[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find [tex]\tan(30)[/tex] and [tex]\tan(60)[/tex]

The tangent of an angle is calculated as:

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(30) = \frac{b}{a}[/tex]

This gives:

[tex]\tan(30) = \frac{3}{3\sqrt 3}[/tex]

3 cancels out

[tex]\tan(30) = \frac{1}{\sqrt 3}[/tex]

Rationalize

[tex]\tan(30) = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]

Similarly;

[tex]\tan(60) = \frac{a}{b}[/tex]

This gives:

[tex]\tan(60) = \frac{3\sqrt 3}{3}[/tex]

3 cancels out

[tex]\tan(60) = \sqrt 3[/tex]

Answer:

13+5 = 18

2-(5+4) = -7

3(2-13) +2(4) = -25

a = -9/2

Step-by-step explanation:

[tex]\int\limits^3_0 {(a f(x) + g(x))} \, dx = 0[/tex]

a(2) + (5+4) = 0

2a = -9

a = -9/2

Answer:

(a+b) (a-b) =a^2 - b^2

In this question a=2, b=square root of 5

So 2*2=4 square root of 5 times square root of 5 is 5

4-5=-1

Answer:

I believe the answer is -1.

Step-by-step explanation:

So I distributed,

2 x 2 = 4

[tex]-\sqrt{5}[/tex] x 2 = [tex]-2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x 2 = [tex]2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x [tex]-\sqrt{5}[/tex] = -5

4 [tex]-2\sqrt{5}[/tex] + [tex]2\sqrt{5}[/tex] - 5 = ?

the radicals cancel out and 4 -5 = -1

Answer:

Piston

Step-by-step explanation:

Because i took the test       ..................................

Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as

since the sides opposite to the equal angles are always equal we get as,

x-2 = 2x-10

===> -2 +10 = 2x-x

==> 8 = x

hence the measurement of the Tangents is,

putting x = 8

2(8)-10 ==> 16-10 ==> 6 cm

length of each tangent is 6 cm.

Answer:

8

Step-by-step explanation:

2x - 10 = x - 2

2x - x = - 2 + 10

x = 8

Answer:

89 meters per second.

Step-by-step explanation:

That is quite fast!

First, we are given that in 9 sec our falcon has flown 801 meters, let's write an equation for that:

9s = 801

So in order to get s, we divide each side by 9.

Solve!

s = 801/9

s = 89

Happy learning! Please give a brainliest if you found this helpful

Answer:

same shape and size

Step-by-step explanation:

Answer:

Similarity in my opinion

Answer:

Slope of the line represented by the table is 2.5.

Step-by-step explanation:

For a linear function,

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Therefore, slope of the line passing through (0, 12) and (-2, 7) will be,

Slope = [tex]\frac{12-7}{0-(-2)}[/tex]

          = [tex]\frac{5}{2}[/tex]

          = 2.5

Therefore, slope of the line represented by the table is 2.5.

Answer:

The answer for x is 18

Step-by-step explanation:

You may realize that we have not yet discussed the distance around a very important geometric shape: a circle! The distance around a circle has a special name called the circumference. To find the circumference of a circle, we use this formula: C = 2πr

In this formula, π is pronounced “pi,” and is defined as the circumference of a circle divided by its diameter:  

π

=

C

d

. We usually replace π with the approximation 3.14. The letter r represents the radius of the circle.

Let’s see where the formula for circumference comes from. Figure 4 shows a generic circle with radius r.

Answer:

Step-by-step explanation:

An expression is a sort of equation but without any number after the equal to sign

so 2x-7 would be an expression but 3x would not be a expression

3x is just a term

2+7 would also not be an expression because this can be simplified into 9 which is not a expression

2x-7=14 is not a expression cuz it has the equal to sign

-14 is not a expression because its a single number

Answer:

The rule for dividing fractions is you multiply the first fraction by the reciprocal of the second fraction:

Solve for the given:

Correct choice is D

Answer:

Step-by-step explanation:

To complete the given table we will substitute the output value to calculate the input value.

Given function is,

y = 2x + 4

For output value, y = 18

18 = 2x + 4

2x = 18 - 4

x = 7

For output value, y = 22

22 = 2x + 4

2x = 22 - 4

x = 9

For output value, y = 34

34 = 2x + 4

2x = 34 - 4

2x = 30

x = 15

Therefore, table will be,

       Input (x)                 y = 2x + 4                output

          7                                                              18

          9                                                             22

         15                                                             34

Answer:

see explanation

Step-by-step explanation:

so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)

when c is 21, a is 5. plug numbers in to get b=15.

when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19

we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear

Answer:

(x+3), (y+9)

Step-by-step explanation:

Adding to x with translate the figure right (subtracting will translate it left), and adding to y will translate it up (subtracting will translate it down).

To get from a point on [tex]y[/tex] to the corresponding point on [tex]y_{1}[/tex], you would move 3 to the right and 9 up, so it would be (x+3), (y+9)

Answer:

12 cups of sugar

Step-by-step explanation:

3÷0.25=12

1/4=0.25

Answer:

Steady rate

Step-by-step explanation:

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Answer:

Area of cardboard required = 468 cm²

Step-by-step explanation:

Area of the cardboard required = Surface area of the triangular prism

Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides

Area of the one triangular side = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                                                    = [tex]\frac{1}{2}(12)(9)[/tex]

                                                    = 54 cm²

Area of lateral sides = Perimeter of the triangular base × Height

Perimeter of the triangular base = 9 + 12 + 15

                                                     = 36 cm

Now area of the lateral sides = (36) × 10

                                                = 360 cm²

Surface area of the prism = 360 + 2(54)

                                          = 360 + 108

                                          = 468 cm²

Therefore, area of cardboard required for each box = 468 cm²

Answer: The three methods are the treatments and the response is the score achieved on the quiz.

Step-by-step explanation:

The three techniques are the treatments, and the results are the final score.

what is response variable in the experiment?

The researcher predicts that a variable will change if the controlled variable changes; this variable is known as a responsive variable. A dependent variable is another name for a responsive variable.

Solution:

Three methods are assigned for teaching mathematics.

Randomly ten students are assigned to each of the method.

There scores are then recorded on a quiz.

It is clear that the response will be the score card of the students either scoring high marks or not being able to clear it.

And the treatments are three for if the student is not able to understand any of the method.

Hence the three methods serve as treatments, and the outcomes determine the final grade.  

Learn more about "Logical reasoning questions" here-

brainly.com/question/25175983

#SPJ2

Answer:

282.7 in³

Step-by-step explanation:

The solid is a cylinder

Volume of the cylinder = πr²h

Where,

radius (r) = 3 in.

height (h) = 10 in

Volume = π*3²*10

= π*9*10

= π*90

= 282.743339 ≈ 282.7 in³ (nearest tenth)

Step-by-step explanation:

If the figure is a square with a perimeter of 16 inches, then each side of the square is 4 inch in length. Area is found by multiplying the length x the width. For a square, the length and width are the same. A = 16 sq

pls give brainlist + thanks

Answer:

75 kilómetros.

Step-by-step explanation:

Dado que Juan utiliza su bicicleta para hacer deporte, y cada día recorre 10 kilómetros a la mañana y 5 kilómetros a la tarde, para determinar cuántos kilómetros recorre en total al cabo de 5 días  se debe realizar el siguiente cálculo:

(10 + 5) x 5 = X

15 x 5 = X

75 = X

Por lo tanto, Juan recorre 75 kilómetros al cabo de 5 días.

Answer:

6,500

Step-by-step explanation:

Answer:

6500

Step-by-step explanation:

3900 divided by 3 is 1300 which is the cost of 1 shirt, so 1300 times 5 is 6500

9514 1404 393

Answer:

  m = 35

  n = 110

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  n° = 180° -70°

  n = 110

Opposite angles in a parallelogram are congruent.

  2m° = 70°

  m = 35 . . . . . . divide by 2°

Answer:

Volume of cubical tank = 0.278 yard³ (Approx.)

Step-by-step explanation:

Given:

Length of tank = 1/2 yard

Width of tank = 1/6 yard

Height of tank = 1/3 yard

Find:

Volume of cubical tank

Computation;

⇒ Volume of cubic block = (length)(width)(height)

⇒ Volume of cubical tank = (1/2)(1/6)(1/3)

⇒ Volume of cubical tank = 1/36 yard³

Volume of cubical tank = 0.278 yard³ (Approx.)

Answer: 1/36

Step-by-step explanation: This is the plato answer

Answer:

C

Step-by-step explanation:

Answer:

It's 4/52

Step-by-step explanation:

because there is four threes in a standard deck of playing cards which has 52 cards in all.

Answer:

4/52 = 1/13

Step-by-step explanation:

the are four 3's in standard deck of cards

Answer:

5.25

Step-by-step explanation:

1.5 x 1 x 3.5