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Mashcka [7]
4 years ago
13

If x = –3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the e

quation?
Mathematics
2 answers:
avanturin [10]4 years ago
8 0
The best description is ...
  the discriminant is zero.
zepelin [54]4 years ago
6 0

Answer:

<u>Discriminant</u>, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution.

The discriminant tells what is the nature of roots the equation has.

For quadratic equation ax² + bx + c = 0, the discriminant is b² − 4ac

Roots are real with at least two equal if the discriminant is zero.

Roots are complex conjugate if the discriminant is less than zero.

Roots are two distinct real root if the discriminant is less than zero.

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What is the maximum number of times two planes can intersect? What is the minimum number of times they can intersect?
nordsb [41]
The minimum number of times two planes can intersect is zero, because if the planes are parallel to each other, they will never intersect. we can take the example of floor and roof, both are parallel to each other and no intersection. If the two planes are in same plane the maximum number of times they can intersect is infinite for example if we consider a line we can intersect at infinite points.
8 0
3 years ago
In a dog show, there will be a gold and silver medal awarded.There are 6 finalists. In how many ways can the 2 medals be awarded
Mandarinka [93]

Answer:

30

Step-by-step explanation:

Given: There are six finalists and two medals. That is it asks for the possibilities of 6 finalists taking two at a time. Say, for example the first and third finalist or the second and the sixth finalist and so on. The number of possibilities is given by $ ^nP_r $

                       $ ^nP_r = \frac{n!}{(n - r)!} $

So the number of possibilities of 6 finalists taken two at a time is $ ^6P_2 $

$ \implies \frac{6!}{(6 - 2)!} = \frac{6!}{4!}  \hspace{15mm} [n! = n \times (n-1) \times (n - 2) \times . . . 2 \times 1] $

$ \implies \frac{6 \times 5 \times 4 \times \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1}  = 6 \times 5 = 30 $

4 0
4 years ago
can someone help me understand how to find the slope intercept form in a equation using ( y=mx+b )please n thank you!
vagabundo [1.1K]

Answer:

y=-1/2+3

Step-by-step explanation:

first, we have to determine if the slope is positive or negative. if it is going up to the right, it is positive. if it goes up to the left, it is negative. to find the slope, we need two or three points where the x and y values are both whole numbers. for this, we can use the y-intercept (0,3), (-2,4), and (-4,5). we can look at the line and see that from (0,3) to (-2,4) the line rises 1 and runs -2. this supports the claim that the slope is negative. from (-2,4) to (-4,5), the line rises 1 and runs -2. this is the same as the slope from (0,3) to (-2,4), so we can say that it is the slope of the line. since slope is written as rise over run, we can write the slope as -1/2. for the y-intercept, or b, we have to see what y is when x is 0. y is 3, so the y intercept is 3. in y=mx+b, m=slope and b=y intercept, so we plug these values in and we have the graph in slope intercept form.

7 0
3 years ago
Read 2 more answers
Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14? (negative 5, 1)
Anettt [7]

Answer:

B. (1,-5)

Step-by-step explanation:

We have been given a system of equations. We are asked to choose the ordered par that is the solution to the given system.

y=-7x+2...(1)

y=9x-14...(2)

To solve our given system, we will equate both equations as:

9x-14=-7x+2

Combine like terms:

9x+7x-14+14=-7x+7x+2+14

16x=16

x=\frac{16}{16}=1

Upon substituting x=1 in equation (1), we will get:

y=-7(1)+2\\\\y=-7+2\\\\y=-5

Therefore, the ordered pair (1,-5) is the solution of the given system and option B is the correct choice.

7 0
3 years ago
Read 2 more answers
Evaluate each expression if x = −2, y = −3, and z = 5.<br> 2x + 3y + z
zubka84 [21]

Answer:

-8

Step-by-step explanation:

;

you put in 2*-2+3*-3+5 and the answer is-8

6 0
3 years ago
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