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Inessa05 [86]
2 years ago
15

Describe the nature of the roots for the equation 49x2– 28x +4 = 0

Mathematics
1 answer:
Zepler [3.9K]2 years ago
6 0

Answer:

The roots of the equation is real and repeated

Step-by-step explanation:

Here, we want to describe the nature of the roots of the given quadratic equation

To get the nature of the roots, we find the discriminant of the equation

The discriminant is;

b^2 - 4ac

In this case, b = -28 , a = 49 and c = 4

The discriminant is thus;

-28^2 - 4(49)(4)

= 784 - 784 = 0

Since the discriminant is zero, this means that the quadratic equation has real roots which are the same

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Evaluate each expression for g = -7 and h = 3 and match it to its value.
Arturiano [62]

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

<u>1. gh</u>

The two numbers are being multiplied

Putting the values

gh = (-7)(3) = -21

<u>2. g^2-h</u>

Putting the values

=(-7)^2-3\\=49-3\\=46

<u>3. g+h^2</u>

Putting the values

= -7 + (3)^2\\=-7+9\\=2

<u>4. g+h</u>

Putting the values

= -7+3\\=-4

<u>5. h-g</u>

Putting the values

= 3 - (-7)\\=3+7\\=10

<u>6. g-h</u>

Putting values

=-7-3\\=-10

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

4 0
3 years ago
Read 2 more answers
Whats the average between these numbers:7.75,7.25,7.33,7.6?
satela [25.4K]

Step-by-step explanation:

Average between these no.s =

\frac{7.75 + 7.25 + 7.33 + 7.6}{4}

= 7.4825

= 7.5 approx

3 0
3 years ago
Another way to check the sum of 104+34+228+877
vekshin1
We are asked to identify an another way to solve the given problem or this summation 104 + 34 + 228 + 887. We can verify it by doing of performing the summation in a reverse sequence such 877 comes first, then followed by 228, then followed by 34 and lastly added by 104. Therefore, the answer is 877 + 228 + 34 + 104.This is an another way to solve the given problem.
4 0
2 years ago
Pen are shipped to the office supply store in boxes of 12 each. Write a function rule to calculate the total number of pens when
Tom [10]

p = 12x is the  function rule to calculate the total number of pens when you know the number of boxes

<em><u>Solution:</u></em>

Given that,

Pen are shipped to the office supply store in boxes of 12 each

To find: Write a function rule to calculate the total number of pens when you know the number of boxes

Let "p" be the total number of pens

Let "x" be the number of boxes

Number of pens in each box = 12

Then from given information,

Total number of pens = Number of boxes multiplied by number of pens in each box

p = x \times 12\\\\p = 12x

Thus the function rule is found

6 0
3 years ago
Which value for x makes the open sentence true. 4•3 -2x &lt; X2 -2
Angelina_Jolie [31]
First subtract 12 from both sides, then subtract 2x from both sides, multiply both sides by -1, then divide by 4.  

x > 3.5
4 0
2 years ago
Read 2 more answers
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