Which input in this table is incorrect?

The x-intercepts of an equation are simply the zeros of the equation

The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts

The equation is given as:

[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]

Set the equation to 0; i.e. calculate the zeros

[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Divide both sides by constant b

[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Split the above equation, as follows

[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]

Solve for x in each of the equation

[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

Remove repeated solutions

[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

Read more about x-intercepts at:

https://brainly.com/question/3951754

Answer:

B. x = −3, x = −11

Step-by-step explanation:

−3|x + 7| = −12

-3x - 21 = -12 and -3x - 21 = 12

-3x - 21 = -12

      -3x = 9

          x = -3

-3x - 21 = 12

      -3x = 33

         x = -11

Answer:

24

Step-by-step explanation:

Explanation:

Let y=3x

To calculate the inverse, interchange

x and y,    

x =3 y

Answer:

hello

Step-by-step explanation:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

m = slope

Answer:

[tex]\boxed {x = -\frac{1}{7}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]6(4x + 5) = 3(x + 8) + 3[/tex]

-Use Distributive Property:

[tex]6(4x + 5) = 3(x + 8) + 3[/tex]

[tex]24x + 30 = 3x + 24 + 3[/tex]

-Combine like terms:

[tex]24x + 30 = 3x + 24 + 3[/tex]

[tex]24x + 30 = 3x + 27[/tex]

-Take [tex]3x[/tex] and subtract it from [tex]24x[/tex]:

[tex]24x + 30 -3x = 3x - 3x + 27[/tex]

[tex]21x + 30 = 27[/tex]

-Subtract both sides by [tex]30[/tex]:

[tex]21x + 30 - 30 = 27 - 30[/tex]

[tex]21x = -3[/tex]

-Divide both sides by [tex]21[/tex]:

[tex]\frac{21x}{21} = \frac{-3}{21}[/tex]

[tex]x = \frac{-3}{21}[/tex]

-Reduce the fraction to the lowest term by extracting and canceling out [tex]3[/tex]:

[tex]x = \frac{-3\div3}{21 \div 3}[/tex]

[tex]\boxed {x = -\frac{1}{7}}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-\frac{1}{7}[/tex].

Answer:

50 dollars an hour

Step-by-step explanation:

Answer:

A, C, E, F

Step-by-step explanation:

Answer:

C. None of these

Step-by-step explanation:

Answer:

D.) y=-x-2

Step-by-step explanation:

Answer:

D.) y=-x-2

Step-by-step explanation:

Trust me I just know

Answer:

7

Step-by-step explanation:

When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.

Answer:

m=56kx-6

Step-by-step explanation:

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

Answer:

(7, -6)

Step-by-step explanation:

You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.

Angle GFJ = 56 degrees

Angle FGH = 124 degrees

Angle HFJ = 34 degrees

Angle HKJ = 101 degrees

Step-by-step explanation:

The measure of the angles are:

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{\angle HFJ = 34}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

The given parameters are:

∠GHF = 34°,

∠HJF = 124°,

∠FKJ = 79°.

(a) Angle ∠GFJ

This is calculated as:

[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees

So, we have:

[tex]\mathbf{GFJ = 180 - 124}[/tex]

[tex]\mathbf{GFJ = 56}[/tex]

(b) Angle ∠FGH

This is calculated as:

[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal

So, we have:

[tex]\mathbf{\angle FGH = 124}[/tex]

(c) Angle ∠HFJ

This is calculated as:

[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles

So, we have:

[tex]\mathbf{\angle HFJ = 34}[/tex]

(d) Angle ∠HKJ

This is calculated as:

[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles

So, we have:

[tex]\mathbf{\angle HKJ =180 - 79}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

Read more about angles in a parallelogram at:

https://brainly.com/question/9680084

Answer:

John: 18 years old

Mikayla: 6 years old

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

Step-by-step explanation:

BD divides CBA into two angles. The add to 90 degrees. Therefore they are complementary.

The key word is complementary. The angles are <CBA and <DBA are complementary.

Answer:

Right angle or adjacent angle. I'm not sure if there was a vocabulary bank.

Step-by-step explanation:

Answer:

1.)47.022

2.)8.032

3.)2.436

4.)61.92

Step-by-step explanation:

Answer:

y = 1x -1

Step-by-step explanation:

m is your slope which is 1 and -1 is you y intercept

the slope intercept form is y = mx + b

which means the equation will be y = 1x -1

9514 1404 393

Answer:

  x = 4c-3d

Step-by-step explanation:

Cross multiply, separate variables terms and constant terms.

  [tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]

Answer:

(x^3y)/2

Step-by-step explanation:

Answer:

[tex]n = \frac{49}{2x}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]

[tex]\frac{4xn}{7}[/tex] = 14

2) Multiply both sides by 7.

4xn = 14 × 7

3) Simplify 14 × 7 to 98.

4xn=98

4) Divide both sides by 4.

[tex]xn = \frac{98}{4}[/tex]

5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]

[tex]xn = \frac{49 }{2}[/tex]

6) Divide both sides by x.

[tex]n = \frac{49}{2} / x[/tex]

7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]

[tex]n = \frac{49}{2x}[/tex]

Answer:

Step-by-step explanation:

for 2.2 you would still have 5^2 in brackets still

same kind of error for 2.1

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

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

If we already know the length of the circle, we can solve the above expression for r:

[tex]\displaystyle r=\frac{L}{2\pi}[/tex]

The distance given around a circular running track is L=200 m, thus:

[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

Answer:

0

Step-by-step explanation:

-(-x) ^3-x^3

x^3-x^3

=0

Answer:

81 cm square

Step-by-step explanation:

the answer is 121.5cm^2

Answer:

$57.84

Step-by-step explanation:

Balloons needed = 168

Cost of 36 balloons per pack = $11.88

Cost of 12 balloons per pack = $5.16

cost per balloon

36 per pack = $11.88 / 36

= $0.33

12 per pack = $5.16 / 12

= $0.43

In order to minimize cost, she should buy as many packs of 36 per pack balloon

36 per pack × 1 pack = 36

36 per pack × 2 packs = 72

36 per pack × 3 packs = 108

36 per pack × 4 packs = 144

36 per pack × 5 packs = 180

The required number of balloons is 168

So, the number of possible 36 packs to buy is 4, that is, 144 balloons

Balloons remaining = 168 - 144

= 24

Possible packs of 12 balloons per pack possible is

12 per pack × 1 pack = 12

12 per pack × 2 packs = 24

Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack

Cost of 4 packs of 36 balloons per pack = 4 × $11.88

= $47.52

Cost of 2 packs of 12 balloons per pack = 2 × $5.16

= $10.32

Total cost = $47.52 + $10.32

= $57.84