How many roots does the equation 3x² = 1 - 7x have and what is the nature of the roots

Answers

Answer 1

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form:  3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61.  Because the discriminant is positive, this quadratic has two real, unequal roots


Related Questions

HURRY I NEED HELP PLS

Find the volume of each solid. Round to the nearest tenth if necessary.

Answers

Answer:

3,454 cm³

Step-by-step explanation:

This is a cylinder so the volume formula is [tex]V=\pi r^{2} h[/tex]

The problem gives us the diameter (20 cm) and the height (11 cm). Since the formula uses the radius instead of the diameter, we have to divide the diameter by 2.

20 ÷ 2 = 10

The radius is 10 cm

Now, we plug our height and radius into the formula to find the volume.

[tex]V=\pi r^{2} h\\V=(\frac{22}{7})(10)^{2}(11)\\V=(\frac{22}{7})(100)(11)\\[/tex]

V≈3,454


The circle graph shows how William spends his day on average. If he sticks
to this schedule, how many hours will William spend sleeping over the
course of a week (7 days)? ()
17% 11%
10%
А
A) 75.6 hours
B) 78.2 hours
C) 814 hours
Watching TV
Video Games
Fating
Working
45 %Sleeping
27%
D) 848 hours

Answers

Answer:

d

Step-by-step explanation:

i did the math

help please i will give brainliest to first answer

Answers

Answer:

m<ADC= 117

Step-by-step explanation:

Graph a line that has a slope of 5/2 and includes the point (-2, -7)

Answers

First make an equation
Y = 5/2x + b
Plug in the points
-7 = 5/2(-2) + b
-7 = -5 + b, b = -2
Equation: y = 5/2x - 2

Find two points and draw a line
(0, -2) and (-2, -7)
Draw a line between the points

help PLz will mark brain list

Answers

Answer:

10.10 15.15

Step-by-step explanation:

25.30 15.12 25.13

Mark each! Of the following equations as true or false. Explain or showing your reasoning!

Answers

Answer:

False

True

True

Step-by-step explanation:

Multiplying add exponents

Divide subtract exponents

Exponent multiply exponents

The statement and reason for each equation is written below:

False (Multiplication law and exponential law)True (Multiplication law and exponential law)True (division law and exponential law)

Meaning of Multiplication and division law

Multiplication law is a law of indices that governs the multiplication of variable. if they are of the same base they add up their powers.

Division law is also a law of indices that governs division of variables, and it states that for every division the  bases are equal we subtract their powers

In conclusion, The statement and reason for each equation is written above.

Learn more about Multiplication and division law :https://brainly.com/question/1129236

3. This spinner is divided into eight equal-sized sections. Each section is labeled with a number
Jake spins the arrow on the spinner once.
Drag and drop the events into the correct order from least likely to most likely.

Answers

Answer:

Least Likely: Arrow lands on a section labeled with an odd number.

_____: Arrow lands on a section labeled with the number 1.

Most Likely: Arrow lands on a section labeled with a number less than 4.

Step-by-step explanation:

The spinner:

There are 8 sections, 4 labeled with the number 1, 2 labeled with the number 3, 1 labeled with the number 3, and 1 labeled with the number 4.

Probabilities of the spinner:

Probability of landing on 1: 4/8 - 50%Probability of landing on 2: 1/8 - 12.5%Probability of landing on 3: 2/8 - 25%Probability of landing on 4: 1/8 - 12.5%

The options:

A - Arrow lands on a section labeled with an odd number.

B - Arrow lands on a section labeled with the number 1.

C - Arrow lands on a section labeled with a number less than 4.

The least likely possibility out of the options would be B because, while a 50% chance sounds like a lot, it is the least of the three options.The mid possibility out of the options would be A. The odd numbers labeled on the spinner make up 75% of the whole. (1s and 3s - 50% + 25%)The most likely possibility out of the options is C because it accounts for every section except for the single section labeled with the number 4. (100% - 12.5%, 87.5%)

i have more to come check out my account:( please

Answers

Answer:

Part A

The two figures, ΔABC and ΔPQR are congruent by the SSS rule of congruency

Part B

The rigid motion that maps ΔABC to ΔPQR are a 180° clockwise rotation about the origin, followed by a horizontal shift of 1 unit to the right

Step-by-step explanation:

Part A

The given coordinates of the vertices of triangle ABC are;

A(-8, -2), B(-3, -6), C(-2, -2)

The length of side AB = √((-6 - (-2))² + (-3 - (-8))²) = √41

The length of side AC = √((-2 - (-2))² + (-2 - (-8))²) = 6

The length of side BC = √((-6 - (-2))² + (-3 - (-2))²) = √17

The given coordinates of the vertices of triangle PQR are;

P(9, 2), Q(4, 6), R(3, 2)

The length of side PQ = √((6 - 2)² + (4 - 9)²) = √41

The length of side PR = √((2 - 2)² + (3 - 9)²) = 6

The length of side RQ = √((6 - 2)² + (4 - 3)²) = √17

Given that the length of the three sides of triangle ABC are equal to the lengths of the three sides of triangle PQR, we have;

ΔABC ≅ ΔPQR by Side Side Side rule of congruency

Part B

Whereby AB and PQ, and BC and RQ are pair of corresponding sides, the rigid motion that maps ΔABC to ΔPQR are;

1) A 180° clockwise (or counterclockwise) rotation about the origin followed by

2) A shift of 1 unit to the right.

Find the area of the shape shown below.

Answers

Answer:

42 units²

Step-by-step explanation:

Find the volume of the cylinder. Use 3.14 for T.

height of 3 radius of 3

Answers

Answer:

84.82

Step-by-step explanation:

π·32·3≈84.823

Answer:

The volume of a cylinder with a height of 3 and a radius of 3 is 84.823 or you could say 84.8.

Step-by-step explanation:

Select the correct answer.
What are the asymptote and the y-intercept of the function shown in the graph?

f(x) = 3(0.2)^x + 2

A. asymptote: y = -2
y-intercept: (0,5)

B. asymptote: y = 2
y-intercept: (0,5)

C. asymptote: y = 2
y-intercept: (0,4)

D. asymptote: y = -2
y-intercept: (0,3)

Answers

Answer:

B

Step-by-step explanation:

The function reaches the y-axis at the point (0,5).

The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.

The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.

Good luck ^^

The equation of the asymptote is y = 2 and the coordinate of the y-intercept will be (0, 5). Then the correct option is B.

What is asymptote?

An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.

The equation of the function is given below.

[tex]\rm f(x) = 3(0.2)^x + 2[/tex]

The asymptote of the function is given as by substituting x as infinity, then the equation of the asymptote will be

[tex]\rm y = 3(0.2)^{\infty} + 2\\\\y = 2[/tex]

Then the y-intercept of the function will be given by substituting y = 0, then the y-intercept will be

y = 3(0.2)⁰ + 2

y = 3 + 2

y = 5

The coordinate of the y-intercept will be (0, 5).

Then the correct option is B.

More about the asymptote link is given below.

https://brainly.com/question/17767511

#SPJ5

WHat do u do with the brainly credits or whatever

Answers

Answer:

You basically grow rep

Step-by-step explanation:

Brainly points you need for asking questions and people are more likely to trust you with their questions if you have alot!

Answer:

i actually dont know

Step-by-step explanation:

Aliyah spent half of her weekly allowance playing arcade games. To earn more money her parents let her mow the lawn for $7. What is her weekly allowance (W) if she ended up with $16? The variable should always go in the first term

Answers

Answer:

who mows the lawn for 7 dollars :/

Step-by-step explanation:

what is the first 5 cubic numbers​

Answers

Answer:

1,8,27,64,125

Step-by-step explanation:

1, 6 8 27 64 125 is the answer

ok sooooooo
cant you call carrot juice orange juice.

Answers

Answer:

yes cs its a orange juice

Step-by-step explanation:

Answer:

taking back the answer spot that is rightfully mine!

Step-by-step explanation:

The equation of a line in the form y = a number creates this kind of line.

Answers

Answer:

a diagonal one??? like its linear uhm okay here i have a picture one sec

Step-by-step explanation:

A graph line would be the core answer

I would love some help pls, if anyone could talk me through it, that would be phenomenal I have no clue what’s going on lol

Answers

Answer:

B) 7x - 3 = 4

Step-by-step explanation:

3x - 12 = -9

3x = 3

x = 1

A) NOPE

x - 5 = -6

x = -1

B) YES

7x - 3 = 4

7x = 7

x = 1

What is the value of
of 8) + (-43) - 1152

Answers

Answer:

8 + (-43) - 1152 =  -1187

Step-by-step explanation:

What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
O (4.18)
O (0,-2)
O (-8,-2)
0 (4-18)

Answers

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = [tex]ax^{2} +bx +c[/tex]

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = [tex]x^{2} +8x - 2[/tex]   a = 2 and b = 8

So, h =  -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = ([tex]-4^{2}[/tex]) + 8(-4) - 2

  = (16) - 32 - 2

  = 16 - 32 - 2

  = -18

Vertex is (-4, -18)

Note:  Another way to find the vertex is to complete the square, but this can really be difficult in some cases

Answer:

Option D, (-4,-18)

Step-by-step explanation:

got it right on edge

Solve for z. -2 (52 - 4) +62 = -4​

Answers

Answer:

if you learned, PEMDAS then it be easier! soo I'll help.

Step-by-step explanation:

-2 ( 52- 4 ) is 48. 48 + 62= 110

if that's wrong, then I'm sorry!

1

62

48

——

110

help quick which ones greater 7.133 is _______ 7.1437

Answers

Answer:

7.1437 is greater

Step-by-step explanation:

Answer:

7.133 < 7.1437

Step-by-step explanation:

Line up the numbers till you find one that is greater

What is the area of the polygon given below

Answers

I think the answer is D

You flip a coin. What is P(not tails)? 50%

Answers

Heads I think I’m not really sure what your asking.

Plz help no links I will give brainiest to whoever helps

Answers

Answer:

110.92

Step-by-step explanation:

Assuming that the parameters (P), (h), and (B) all represent dimensions of the given prism, then based on the given information, the following can be concluded:

P = 6.6

h = 4.5

B = 2.2

The surface area is the two-dimensional area around a three-dimensional surface. In other words, if one was going to wrap the figure, the surface area is the amount of paper one would need. One can find the surface area by finding the area of each individual side and then adding all the results together. To find the area of a 2-dimensional figure by multiplying the length by the width.

(4.5) * (6.8) = 30.6

(4.5) * (6.8) = 30.6

(2.2) * (6.8) = 14.96

(2.2) * (6.8) = 14.96

(4.5) * (2.2) = 9.9

(4.5) * (2.2) = 9.9

Now add up all of the values,

30.6 + 30.6 + 14.96 + 14.96 + 9.9 + 9.9

= 110.92

Function f is a quadratic function passing through the points (-4,0),(0,–12) and (3,0). Function g is modeled by the graph. Over which interval are both functions negative? ​

Answers

Answer:

Open points on 1 and 3 with ray connecting them

Step-by-step explanation:

Because it's right.

Answer:

Step-by-step explanation:

Find the value of y. Will give out a brainly for help

Answers

Answer:

3

Step-by-step explanation:

the scale is 2 so you need to figure out 3y + 5 = 14

Therese filled a rectangular pool with water. The pool measured 2 1/4 yards long, 2 yards wide and 1 2/3 yards tall. If the pool was filled to the top, how many cubic yards of water did Therese use?

Answers

Answer: 7 1/2 cubic yards

Step-by-step explanation: sorry if this is wrong lol

i’m lost on this help would be nice

Answers

Answer:

3x - 4 = 14

+4. +4

3x = 18

÷3. ÷3

x = 6

I need the answers 1-4

Answers

Answer:

hope this helps you out question 4 and 3 are the same

help! rs - st + m - tv​

Answers

Answer:

umm, i think the question is incomplete

Step-by-step explanation:

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