HELP !! ANSWER ASAP

Question 3
1 pts
Describe the nature of the roots for the equation 49x^2-
28x +4 = 0
O one real root
one complex root
O two complex roots
O two real roots

Answers

Answer 1

Answer:

Step-by-step explanation:

One real root

Answer 2

The nature of the roots of [tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex] is (a) one real root

The equation is given as:

[tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex]

To determine the nature of the roots, we make use of determinants.

The determinant (d) of a quadratic equation is calculated

[tex]\mathbf{d = b^2 - 4ac}[/tex]

Where the quadratic equation is:

[tex]\mathbf{ax^2 + bx + c = 0}[/tex]

By comparison, we have:

[tex]\mathbf{a = 49,\ b = -28,\ c = 4}[/tex]

So, we have:

[tex]\mathbf{d = b^2 - 4ac}[/tex]

[tex]\mathbf{d = (-28)^2 - 4 \times 49 \times 4}[/tex]

[tex]\mathbf{d = 784 - 784}[/tex]

[tex]\mathbf{d = 0}[/tex]

When d = 0, then the function has one real root.

Hence, the nature of the roots of [tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex] is (a) one real root

Read more about nature of roots at:

https://brainly.com/question/24730520


Related Questions

Solve for x.
5)
F
5x -5
18x + 9
A
105°
G
A) 12
C) 10
B) 2
D) 7.

Answers

Answer:

7

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the opposite interior angles

18x+9 = 5x-5 + 105

Combine like terms

18x+9 = 5x +100

Subtract 5x from each side

18x-5x +9 = 5x+100-5x

13x +9 = 100

Subtract 9 from each side

13x +9-9=100-9

13x= 91

Divide by 13

13x/13 = 91/13

x = 7

1 Write an equation in slope-intercept using the two-given input-output pairs. (3,9) (5,17)​

Answers

In slope intercept form it would be Y= 4x-3

Select which function whose graph is a line.
PLEASE HURRY PLEASE HURRY PLEASE HELPPP

Answers

A) y= 3x+9
it shows a line when out on a graph

5. mx + b = c solve for x

Answers

Answer:

To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.

To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.

, because that will give us the x-value at which the line crosses the x-axis.

Step-by-step explanation:

To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.

Is 1,000 a rational number or a irrational or is it a whole number ?

Answers

Answer:

1,000 is both a rational number and a whole number.

If my answer helped, please mark me as the brainliest!!

Thank You!!

Greatest to least 1/2 0.12 2/3 0.6

Answers

Answer:

2/3, 0.6, 1/2, 0.12

Step-by-step explanation:

1/2, 0.12, 2/3, 0.6

im going to switch each to decimal if it isn't already

1/2 = 0.5

2/3 = 0.666 repeated

so now we have

0.5 , 0.12, 0.666 repeated, 0.6

now im going to put them in order

0.666 repeated, 0.6, 0.5, 0.12

now im going to change them back

2/3, 0.6, 1/2, 0.12

Answer: 2/3, 0.6, 1/2, 0.12

Step-by-step explanation:

First I'm going to convert the fractions to decimals:

1/2 = 0.5 and 2/3 = 0.7 (rounded). Now the problem looks like: 0.5, 0.7, 0.12, 0.6. Organizing from greatest to least: 0.7, 0.6, 0.5, 0.12

WILL MARK YOU BRAINLIEST

Answers

Answer:

third answer is correct

If angle EOF = 26 and angle FOG = 38., then what is the measure of angle EOG? The diagram is not to scale.

Answers

Answer:

EOG is 64

Step-by-step explanation:

We can have a diagram for this.

From the description in the question, we can see that the ray FO splits the angle into 2.

We can have the diagram as shown in the attachment;

So mathematically;

EOG = EOF + FOG

So EOG = 26 + 38

EOG = 64 degrees

Please check attachment for a diagram

how do we get x+2=6 from 3x+6=18 solve for x and explain how we get that equation

Answers

Answer:

Step-by-step explanation:

Subtract 6 from 18. 3x=18. You could divide by 3 to get x=6

The answer is positive 6

If line segment BC is an angle bisector, the measure of angle CBF - (10x-9) degrees, and the mesaure of angle FBE - (8x+30) degrees
find the value of x
A) 15
B)19.5
C)8
D)4

Answers

Answer:

8

Step-by-step explanation:

bababooey

What is the solution set for this inequality? -8x-40 (greater than) -16

Answers

Answer:

x < -3

Step-by-step explanation:

I NEED HELP WILL MARK YOU BARIN LISR PLEASE SHOW YOUR WOrk

Answers

[tex]1/10^{3}[/tex]

in order to do this you flip it or do the reciprocal and make your exponent positive

simplify -5x+11x-4+2​

Answers

222 is your answer :))))

plz help will give brainliest

Answers

Answer:

the right is the answer :>

Step-by-step explanation:

The one acrosss the first graph is the right graph.

1/7 of 149.6 make sure it is in decimal form

Answers

Answer:

21.3714286

Step-by-step explanation:

Answer:

1/7 • 149.6 = 21.37142857

What statements describe this graph? Check all that apply. The points are scattered. The points are not connected. O The graph displays a discrete graph. O The graph displays the relationship of test scores to hours studied. The graph represents the relationship between two sets of data.​

Answers

Answer:

The points are scattered, the graph displays a discrete graph, and the graph displays the relationship of test scores to hours studied.

Step-by-step explanation:

Answer:

It is also E - The graph represents the relationship between two sets of data.  

A C D and E is the correct answer.  

Step-by-step explanation:

bakit di ako crush hahahsjdhdjdnshsksb​

Answers

Answer:

Yes

Step-by-step explanation:

what is the slope plss helpp

Answers

Answer: m = 5/2

..............................

Answer:

C: 5/2

Step-by-step explanation:

I looked it up on Math-way

I NEED HELP KAKAJJAJS

Rewrite the equation into slope intercept form. y - 4 = 1/5 (x - 5)

Answers

Answer:

y = 1/5x + 3

Step-by-step explanation:

y - 4 = 1/5(x - 5)

y - 4 = 1/5x - 1             Distribute numbers to parenthesis

y = 1/5x + 3                 Add 4 to both sides

How do you find the slope if a line of two points are given?

Answers

If it is the two ordered pairs that are given then use the following slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

also known as m = rise / run

Step-by-step explanation:

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The temperature in Juno, Alaska was 15 degrees at 7am. The temperature dropped 12 degrees every hour for 4
hours. What was the temperature at 11am?

Answers

The answer is -33 at 11am

I need help with this ?

Answers

Answer:

C

Step-by-step explanation:

[tex]f(x)=4(5)-11\\f(x)=20-11\\f(x)=9[/tex]

<3

Red

Answer:

9

Step-by-step explanation:

f(x)= 4×5 - 11

you plug in the 5

4×5=20

20-11

= 9

If angle x is the reference angle, which side is the opposite side

Answers

y would be !!!!! Its on the opposite side !!!

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°. Find the length of o, to the nearest inch.

Answers

Given:

In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.

To find:

The length of o, to the nearest inch.

Solution:

According to cosine formula,

[tex]a^2=b^2+c^2-2bc\cos A[/tex]

Using cosine formula in ΔOPQ, we get

[tex]o^2=p^2+q^2-2pq\cos O[/tex]

On substituting the values, we get

[tex]o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)[/tex]

[tex]o^2=32400+14400-43200(-0.9877)[/tex]

[tex]o^2=46800+42668.64[/tex]

[tex]o^2=89468.64[/tex]

Taking square root on both sides.

[tex]o=\sqrt{89468.64}[/tex]

[tex]o=299.113[/tex]

[tex]o\approx 299[/tex]

Therefore, the length of o is about 299 inches.

Answer:299

Step-by-step explanation:

Find the mode of the set of data 59,61,54,61,38,46,56,52,63,40,44

Answers

Answer:61

Step-by-step explanation:

Mode= Most frequently occurred data

61 occurred 2 times in the given set of data

Mode=61
Mode=61. So ur answer will be 61!

g(x) = 4x -9, what is g^-1(x)

Answers

Answer:

g^-1(x)= 1/4x-9

1 is above 4x-9

Step-by-step explanation:

g(x)= 4x-9

and g^-1 = 1/g(x)

so:

1/gx=1/4x-9

Solve the quadratic using the quadratic formula. *
Solve:
6x^2 + 7x – 5 = 0

Answers

Answer:x = -5/3 or x = 1/2

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+7x−5=0

Step 1: Factor left side of equation.

(3x+5)(2x−1)=0

Step 2: Set factors equal to 0.

3x+5 = 0 or 2x−1 = 0

x = -5/3 or x = 1/2

Answer:

[tex]x=\frac{1}{2}[/tex]

[tex]x=-1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]x=\frac{-b±\sqrt{b^{2} +4ac} }{2a}[/tex]

Ignore the A before the ±, it wouldn't let me type it correctly.

6x² + 7x - 5 = 0

a = 6

b = 7

c = - 7

[tex]x=\frac{-(7)±\sqrt{7^{2} +4((6)(-5))} }{2(6)}[/tex]

[tex]x=\frac{-(7)±\sqrt{49 +4((6)(-5))} }{2(6)}[/tex]

[tex]x=\frac{-(7)±\sqrt{49 +120} }{2(6)}[/tex]

[tex]x=\frac{-7±\sqrt{169} }{12}[/tex]

[tex]x=\frac{-7±13 }{12}[/tex]

Two separate equations

[tex]x=\frac{-7+13 }{12}[/tex]

[tex]x=\frac{-7-13 }{12}[/tex]

________________________

[tex]x=\frac{-7+13 }{12}[/tex]

[tex]x=\frac{6 }{12}[/tex]

[tex]x=\frac{1}{2}[/tex]

[tex]x=\frac{-7-13 }{12}[/tex]

[tex]x=\frac{-20 }{12}[/tex]

[tex]x=-1\frac{2}{3}[/tex]

Given a∥b and m∠8=109° .
What is m∠3 ?

Answers

Answer:

image is not very clear

Step-by-step explanation:

m∠3 = 180 - 108

m∠3 = 71°

or

m∠8 ≅ m∠3 = 109°

At a sale, dresses were sold for $144 each. If the dresses originally cost $200, what percentage of its original price was a dress sold for?​

Answers

Answer:

72%

80% of 200 is 160.

75% of 200 is 150.

74% of 200 is 148.

72% of 200 is 144

Just to make sure ask google or siri "What is 72% of 200?".

Hope this helps!

Answer:

28% (because it was marked down by $56 dollars)

Step-by-step explanation:

144/200 = 72%

100% (200) - 72% (144) = 28% (56)

56/200 = 28%

28% (56) + 72% (144) = 100% (200)

Your class is going on a field trip to the Miami Science Museum.
It costs $20 for each adult (a) and $13 for each student (s).
Write an expression for the cost of adults and students to enter
the museum. Then, find the total cost for 4 adults and 24
students.

Answers

Answer:

Total is 392

Step-by-step explanation:

$20 - Adult (x)

$13 - Student (y)

20(x) + 13(y) = Total

20(4) + 13(24) =

80 + 312 = 392

Hope this helped love <3

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