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SCORPION-xisa [38]
3 years ago
13

What is the value of m, if the equation my2+2y−4=0 has exactly one root?

Mathematics
2 answers:
stich3 [128]3 years ago
6 0

Answer:

m=\frac{-1}{4}

Step-by-step explanation:

A quadratic equation has one root if the discriminant is 0.

That is we need b^2-4ac=0 for this particular question.

Compare the following to find a,b, \text{ and } c:

ax^2+bx+c=0

my^2+2y-4=0

The variable x is representative of the variable y here.

a=m

b=2

c=-4

Plug in into b^2-4ac=0:

(2)^2-4(m)(-4)=0

4+16m=0

Subtract 4 on both sides:

16m=-4

Divide both sides by 16:

m=\frac{-4}{16}

Reduce:

m=\frac{-1}{4}

siniylev [52]3 years ago
6 0

Answer:

m = -1/4

Step-by-step explanation:

B²-4AC = 0 when one real root

(2)² - 4(m)(-4) = 0

4 + 16m = 0

m = -4/16

m = -1/4

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Which of the following is the minimum value of the equation y = 3x^2 − 4x − 2?
KonstantinChe [14]

Answer:

-3 1/3

Step-by-step explanation:

The quadratic

... y = ax² +bx +c

has its extreme value at

... x = -b/(2a)

Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.

To find the minimum value, we need to evaluate the function for x=2/3.

The most straightforward way to do this is to substitue 2/3 for x.

... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2

... y = (4 -8 -6)/3 = -10/3

... y = -3 1/3

_____

<em>Confirmation</em>

You can also use a graphing calculator to show you the minimum.

5 0
3 years ago
The table below shows the number of customers that come eat lunch at a local deli each week.
jek_recluse [69]

The table of the number of customers illustrates two different patterns

Deli should expect 90 customers to serve during week 8

<h3>How to determine the number of customers</h3>

From the table, the even number of week increases by 10, while the odd number of weeks reduces by 5.

At week 6, the number of customers is 80.

So, the number of customers at week 8 is:

Week 8 = Week 6 + 10

This gives

Week 8 = 80 + 10

Week 8 = 90

Hence, deli should expect 90 customers to serve during week 8

Read more about sequence and patterns at:

brainly.com/question/15590116

8 0
3 years ago
In Ms. Craig’s class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms.
topjm [15]

Answer:

24

Step-by-step explanation:

75% of x = 18

75/100 * x = 18 (x =  total number of students)

solving

x = 24

total number of students = 24

Checking:

75/100 * 24 = 18

5 0
3 years ago
A store donated 2 1/4 cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How m
Westkost [7]

Answer:

432 crayons

Step-by-step explanation:

convert 2 1/4 to 9/4

1 case=24 boxes=8 crayon in each box

24*8=192 for 1 case

9/4*192=432

The center received 432 crayons  

5 0
3 years ago
(4 + 3) with an exponent of 2 + 5<br><br> ! Read carefully !
Oxana [17]
The answer is (14) just add them all up
4 0
3 years ago
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