9. What is the degree of the polynomial (x - 1)(x + 2)(2x - 3)?
A. 4
B. 3
C. 2
(explain please) ​

Given:

[tex]y=2x^2-8x-10[/tex]

To find:

The interval(s) on which the given function is positive.

Solution:

We have,

[tex]y=2x^2-8x-10[/tex]

[tex]y=2(x^2-4x-5)[/tex]

[tex]y=2(x^2-5x+x-5)[/tex]

[tex]y=2(x(x-5)+1(x-5))[/tex]

[tex]y=2(x+1)(x-5)[/tex]

For zeroes, [tex]y=0[/tex]

[tex]2(x+1)(x-5)=0[/tex]

[tex]x=-1,x=5[/tex]

-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].

Interval        Selected Value      [tex]y=2(x+1)(x-5)[/tex]                      Sign

[tex](-\infty,-1)[/tex]                -2                  [tex]y=2(-2+1)(-2-5)=14[/tex]           +

[tex](-1,5)[/tex]                     0                   [tex]y=2(0+1)(0-5)=-10[/tex]              -

[tex](5,\infty)[/tex]                       6                  [tex]y=2(6+1)(6-5)=14[/tex]                 +

So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].

We can say that the function is positive for interval x < -1 and x > 5.

Therefore, the correct option is B.

Answer:

C

Step-by-step explanation:

bc i’m right

Answer:

46 of the sixth graders have green eyes.

Step-by-step explanation:

This question is asking what number of the 230 sixth graders have green eyes.

We know that one out of every five of them, or 20%, have green eyes.

1/5 = 0.2

If we multiply 0.2 by the total number of sixth graders, that leaves us with 46, meaning that 46/230 sixth graders have green eyes.

I hope this helps!

Answer:

800 centimeters:))

There is 800 cm in the room.

To convert a meter measurement to a centimeter measurement, multiply the length by the conversion ratio. The length in centimeters is equal to the meters multiplied by 100.

How many centimeters is the room?

A room is 8 meters long.

A room is 1 meter long = 100cm

A room is 8 metres long = 8*100cm = 800 cm.

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a ratio?

What numbers a provided

Answer:

-1.4

Step-by-step explanation:

There are five increments between -2 and -1, so we find the difference between -2 and -1, which is 1. Divide 1 by five (increments)=.2

This means that every increment is worth 0.2.

If we see it from the left to right, from -2, there are 3 increments to the right, so multiply three by 0.2 which is 0.6, add 0.6 to -2, which is -1.4.

Hope this helps!

Answer:

5518

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

(14 , -7)

Step-by-step explanation:

terminal points: A (-6,3)   B (4,-2)

u = x₁ + i y₁    u = -6 + i3

v =x₂ + iy₂ = 4 - i2       2v = 8 - i4

2v - u = (8 - i4) - (-6 + i3) = 14 -i7

Resulting terminal point: (14 , -7)

Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.

(2, 1)

(14, 1)

(2, -7)

Answer:

D. 1

Step-by-step explanation:

7,491 times 19 yields 142, 329

Answer:

Step-by-step explanation:

Dans une operation de promotion, un magasin accorde une remise de 5% sur les prix affiché.

Le montant de la remise est-il proportionnel au prix affiché? Quel est le coefficient de proportionnalité? Le montant du prix a payer après remise est-il proportionnel au prix affiché?

Determiner la fonction f qui, au prix affiché x, fait correspondre le prix a payer après remise.

Representer graphiquement la fonction f pour 0<x<1000

Answer: ▽▽

Step-by-step explanation: m = slope

m = y2 - y1 / x2 - x1

3.) (-2, 0) (0, -4)

-4 - 0 / 0 - (-2)

-4 - 0 / 0 + 2

-4 / 2

-2

m = -2

4.) (0, 4) (2, 0)

0 - 4 / 2 - 0

-4 / 2

-2

m = -2

I feel I did smth wrong so I hope this is correct!

Answer:

428,000

Step-by-step explanation:

427,963

If the number behind what number you're trying to round is greater than 4 then the number you're rounding goes up once while everything behind it goes to zero. If it's below 5 than the it well stay the same. Ex. Round nearest tenth--> 14--->10  instead of it going up to 20 it stays 10.

427,963

      ^

This number is higher than 4 so the number in front or the thousand mark goes up a number.

428,000

Someone else already answered so I figured I'll tell you how to round it, hope this helps.

Answer:

One answer exists for this equation.

Answer:

There is only one solution.

Step-by-step explanation:

The two lines only cross once, so there is one solution.

If the lines did not cross at all, there would be no solutions.

If the lines crossed twice, then there would be two solutions.

If the lines were on top of one another, they would be the same line, and have an infinite amount of solutions.

A system of equations is shown on the graph below has Unique solution.

What is Line segment?

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

The graph is shown in figure.

Now,

Since, In the graph the two line segment cut into one point.

Hence, The system of equation shown in graph has Unique solution.

Thus, A system of equations is shown on the graph below has Unique solution.

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Answer:

Yes it is correct.

Step-by-step explanation:

It is correct because .75 time 3 is 2.25 and .75 times 4 is 3.00 and .75 times 6 equals 4.50 and .75 times 8 equals 6.00.

Answer:

  vb\

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

Answer:

swings: 120 (50%)

obstacle course: 80 (1/3)

sandbox: 40

Step-by-step explanation:

we know by looking, that swings makes up 50%, so we divide 240 by 2 to get 120

the obstacle course makes up one-third, 1/3 of 240 is 80

add 120+80 to get 200

to find the sandbox amount, do 240 minus 200 and we get 40

The circle graph is used to show how variables measure against one another using a circle of different sectors.

There are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings

The number of residents is given as:

[tex]n = 240[/tex]

From the given circle graph, we have the following proportions

[tex]Sandbox = 1/6n[/tex]

[tex]Obstacle = 1/3n[/tex]

[tex]Swings= 1/2n[/tex]

So, the number of residents in each equipment is:

[tex]Sandbox = \frac 16 \times 240[/tex]

[tex]Sandbox = 40[/tex]

[tex]Obstacle = \frac 13 \times 240[/tex]

[tex]Obstacle = 80[/tex]

[tex]Swings =\frac 12 \times 240[/tex]

[tex]Swings =120[/tex]

Hence, there are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings

Read more about circle graphs at:

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Answer:

njnjfsdnjfe

Step-by-step explanation:

Answer:

we cant see

Step-by-step explanation:

Answer:-12y -7

Step-by-step explanation: I think

Answer:

-12y - 7

Step-by-step explanation:

x = -2y

6x - 7 or 6(-2y) - 7

-12y - 7

Answer:

112 Degrees

Step-by-step explanation:

The other angle is inverse making X also 112 Degrees

Answer:

2.2

Step-by-step explanation:

9-4=5

[tex]\sqrt{5} =2.2361[/tex]

2.2

Answer:

7.071inches

Step-by-step explanation:

The set up is a right angled triangle

Given 'angle of elevation = 45 degrees

The length of the frame = 10in (hypotenuse)

Required

Height of the truck h (opposite)

Using the SOH trig identity

sin theta = opposite/hyp

sin 45 = h/10

h = 10sin45

h = 10(0.7071)

h = 7.071 in

Hence the height of the truck is 7.071inches

Answer:20 minutes

Step-by-step explanation:

Step-by-step explanation:

hope it helps you..........

Answer:

9.3747849e+14

Step-by-step explanation:

Djdjeieiwnqn

Step-by-step explanation:

Answer:

Not

Step-by-step explanation:

There cannot be the same two inputs and have different outputs

Answer:

11 11/18

Step-by-step explanation: a quick search

Answer:

L. Han

Step-by-step explanation:

L. Han only took 3 seconds and Priya took 4 seconds so L. Han won by one second.

Hope this helps!

Brainiest?