8.3 points
What is the leading coefficient in the polynomial 2v³ +4v² + 1?

2
4
1
3

Answer:

3+2+5

Step-by-step explanation:

Answer:

we have two equations:

2*x + y = 20

y = a + 18/x - 3

We want to find the values of a such that the graphs of the equations do not intersect.

The first step is to isolate y in the first equation.

now we get:

y = 20 - 2*x

Then we have the system of equations:

y = 20 - 2*x

y = a + 18/x - 3

If the line intersects the curve at a point (x, y), then at that point both functions have the same value of y, then:

20 - 2*x = y = a + 18/x- 3

We want to find a value of such that this does not happen.

Let's solve that equation and see what we can find.

20 - 2*x =  a + 18/x - 3

20 + 3 = a + 18/x + 2*x

23 = a + 18/x + 2*x

(23 - a) = 18/x + 2*x

if we multiply all values by x, we get:

(23 - a)*x = 18 + 2*x^2

Then we have a quadratic equation, we can write this as:

2*x^2 - (23 - a)*x + 18 = 0

Now, remember that if the determinant of the quadratic function is smaller than zero, then the function does not have any real solution, then we need to find a such that the determinant of this quadratic equation is smaller than zero.

Remember that for a quadratic equation:

a*x^2 + b*x + c = 0 is:

b^2 - 4*a*c

In this case, the determinant is:

(-(23 - a))^2 - 4*2*18

(23 - a)^2 - 144

And this must be smaller than zero, then:

(23 - a)^2 - 144 < 0

23^2 - 2*23*a + a^2 - 144 < 0

529 - 46*a + a^2 - 144 < 0

a^2 - 46*a + 385 < 0

Notice that the function has a positive leading coefficient, then the arms of the function go upwards, then the region of the function that is smaller than zero is the values of a that are between both roots of a.

Then we need to solve:

a^2 - 46*a + 385 = 0

We can use the Bhaskara's equation to find the roots, the roots are given by:

[tex]a = \frac{-(-46) +- \sqrt{(-46)^2 - 4*1*385} }{2*1} = \frac{46 +-24}{2}[/tex]

Then the two roots are:

a₁ = (46 + 24)/2 = 35

a₂ = (46 - 24)/2 = 11

Then for all the values of a suc that:

11 < a < 35

The line does not intersect the curve.

Answer:

-13

Step-by-step explanation:

Subtract  4  from both sides of the equation

+ 4 = − 9

+ 4 − 4 =− 9 − 4

Simplify

Solution:

= − 1 3

Answer:

x = -13

Step-by-step explanation:

I hope it helps you, sorry if it is wrong.

Answer:

1. -3/2

2. 8

Step-by-step explanation:

Plug the number in with x to find the answer, then solve using PEMDAS as normal.

Answer:

I dont understand how to sorry

Answer:

the answer is 77

Step-by-step explanation:

a= b+c/2

78+76/2 = 77

Answer:

well sense you got the answer now, ima just take the points.

Step-by-step explanation:

its a 4x4 square with 16 squares

Answer:

Coefficient. For example, in the term -3x, -3 serves as the coefficient of x.

The number in front of a variable or term is called a coefficient.

The coefficient represents the numerical factor by which the variable or term is multiplied. In an algebraic expression, the coefficient is the number that appears directly in front of the variable.

For example, in the expression 5x, the coefficient of x is 5. Similarly, in the expression 3y², the coefficient of y² is 3. The coefficient helps determine the magnitude or scale of the variable or term within the expression.

Therefore, the number in front of a variable or term is called a coefficient.

Learn more about coefficients here:

https://brainly.com/question/14590592

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Answer:

6.5 MPH

Step-by-step explanation:

Since he rode his skateboard for half an hour, you must multiply 2, that way he rode 1 hour. Since you multiply the 1/2 hour, you must also multiply 3 1/4, to get 6 1/2, or 6.5. Even though we know he didn't ride a full hour, if he had, and at the same rate, he would have rode 6.5 miles per hour.

Hope this helps! ;)

Answer:

x=3y+7

y=1/3x-7/3

Step-by-step explanation:

Answer:

y=6 x=25

Step-by-step explanation:

brainliest plz

Answer:

ab multiplied by ( A -B)

Step-by-step explanation:

Answer:

0.40m/s^2

Step-by-step explanation:

Given data

Mass= 133.5kg

Force F= 54.5N

The expression for the force acting is

F=ma

substitute

54.5=133.5*a

]Divide both sides by 133.5

a= 54.5/133.5

a= 0.40 m/s^2

Hence the acceleration is 0.40m/s^2

Answer:

x = 21

Step-by-step explanation:

x : 6 = 7 : 2

x/6 = 7/2

x/6 = 21/6

x = 21

Answer:

If bob buys 8 choclates, which each of them are 0.25 dollars each, how much money does he have if he has 0 dollars?

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The points form a right triangle. The circumcenter is the midpoint of the hypotenuse of a right triangle. Here, that is the midpoint of AC:

  O = (A +C)/2

  O = ((1, 1) +(10, 8))/2 = (11, 9)/2 = (5.5, 4.5)

The circumcenter is (5.5, 4.5).

Answer:

x = 2

Step-by-step explanation:

CDEF is a parallelogram.

CE and FD are its diagonals.

Diagonals of a parallelogram bisects each other.

Therefore,

10x - 5 = 4x + 7

10x - 4x = 7 + 5

6x = 12

x = 12/6

x = 2

Thus, for x = 2, CDEF is a parallelogram.

In the quadrilateral CDEF, the value of x is 2.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Quadrilateral CDEF is a parallelogram.

Here, CE and FD are its diagonals.

We know that;

Diagonals of a parallelogram bisects each other.

Therefore, We can formulate;

⇒ 4x + 7 = 10x - 5

Solve for x as;

⇒ 7 + 5 = 10x - 4x

⇒ 12 = 6x

⇒ x = 12/6

⇒ x = 2

Learn more about the mathematical expression visit:

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Answer:

1.9

Step-by-step explanation:

7.6/4= 1.9

1.9*1= 1.9

ans is 1.9 pints

Answer:

he should be in 11 inches

Answer:

1.41 x 10 to the 7th power

Step-by-step explanation:

3 x 10 to the fifth is 300000

300000 x 47 = 14100000 in 47 seconds

14100000 = 1.41 x 10 to the 7th power

Hope that helps!

Answer:

1.41*10^7 or 14,100,000

Step-by-step explanation:

3*10^5*47=1.41*10^7

9514 1404 393

Answer:

  slope: 9/5

  graph: C

Step-by-step explanation:

In a proportional relationship, the slope is the ratio of y to x. Here, that is ...

  slope = y/x = 9/5

__

The graph of a proportional relationship goes through the origin. (eliminates graph B)

For this relationship, y is greater than x. (eliminates graph A)

The appropriate graph for y = 9/5x is graph C.

Answer:

1) unlikely   1/8   12.5%

2) equally likely   4/8   50%

3) likely  5/8    62.5%

4)impossible 0/10 0%

5) unlikely    3/8  37.5%

Answer:

mira aveces el cereal se come con leche y aveces se come con yogurt a quienes lo hacen así claro el cereal tiene almidones

Answer:

C. Plant A and Plant E will die.

Step-by-step explanation:

A0 mL

B 10 mL

C 100 mL

D 1,000 mL

E 10,000 mL

Plant A will get no water so it will Die

Plant E will be overwatered so it will rot and die

Answer:

the answer is 4.54%

Answer:

164.64

Step-by-step explanation:

you just have to multiply

8.4 x 3.5= 29.4 then you do 29.4 x 5.6 = 164.64

Answer:

20%

Step-by-step explanation:

12-10=2

changed ÷ original x 100

2 ÷ 10 x 100

=20%

Answer:b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

another helluva boss meme

Answer: 30ft

Step-by-step explanation: