Which of the following terms is described as “the ratio of two polynomial

40x=10x^2+41 Identify the number of solutions and their types using the discriminant

nydimaria [60]

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: $40x=10x^2+41\\$

Rearranging:

$40x-10x^2-41=0\\10x^2-40x+41=0$

Discriminant can be found by: $b^2-4ac$

where b=-40, a=10 and c=41

Putting values:

$b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\$

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

#learnwithBrainly

6 0

3 years ago

John bought 8 watches for $56 and his friend victor bought 7 watches for $63. whose watch is expensive ?

Hunter-Best [27]

John=$7 each watch
Victor =$9 each watch

8 0

2 years ago

Read 2 more answers

I really need a good explanation on how to solve this, not just the answer please please please..

Alchen [17]

Answer:

Step-by-step explanation:

94

Mean = add all the numbers up and divide by how many numbers you added

So add (x +120 + 112 + 130 + 128 + 124 ) divided by 6 =118

x is the score you are looking for and 118 is the average he wants

so (x + 614 ) divided by 6 =118

now multiply both sides by 6

x + 614 = 118 times 6

x + 614 = 708

subtract 614 from both sides

x = 94

4 0

3 years ago

Write the equation of the line in standard form that has a slope of 2/3 and y-intercept of -7.

trasher [3.6K]

Answer:

-2/3x + y = -7

Step-by-step explanation:

So, y = 2/3x - 7 is the slope-intercept equation. Now, we need to turn it into the standard equation of a slope.

Standard equation --> Ax + By = C

y = 2/3x - 7

-2/3x -2/3x

----------------------

-2/3x + y = -7 --> this is your equation in standard slope form.

3 0

2 years ago

Read 2 more answers

The graph of y= - 1/2x+2 is positive over the interval (4, infinity) and negative over the interval (-infinity, 4) .What happens

vichka [17]

The graph of y=ax+b, where a≠0, is always a line:

i) increasing if a>0
ii) decreasing if a<0

Consider the decreasing case.

The line is above the x-axis, that is positive but decreasing. At 1 single point it cuts the x-axis, so x=0, and then it continues decreasing below the x-axis.

Back to our problem:

The graph of y=-1/2 x +2 is a decreasing line.,

so it CANNOT be
"positive over the interval (4, infinity) and negative over the interval (-infinity, 4)"

it is

"negative over the interval (4, infinity) and positive over the interval (-infinity, 4)"

the graph is "positive over the interval (-infinity, 4)", it means that the line is decreasing but above the x-axis until 4, (4 not included).

then, "negative over the interval (4, infinity)", which means that the line is now decreasing below the x-axis.

when x=4, the line cuts the x-axis.

check the graph of the line generated using desmos.com

3 0

3 years ago