42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3 = 0

Answers

Answer 1

Answer:

      Roots:  0.79 and 3.79

Step-by-step explanation:

[tex]x^2 + 3x - 3 = 0\\a=1\,,\ \ b=3\,,\ \ c=-3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-3)}}{2\cdot1}=\dfrac{-3\pm\sqrt{9+12}}{2}=\dfrac{-3\pm\sqrt{21}}{2}\\\\x\approx0.79\quad or\quad x\approx3.79[/tex]


Related Questions

A city manager made a scatter plot of the number of retail stores in a certain city over the years. The scatter plot had a trend line with an equation of y = 11x + 12, where y is the total number of retail stores and x is the number of years since 1990 Mark and his family moved to the city in 1997. Use the equation to predict how many retail stores there were in 1997.

Answers

If the number of the years will be 7. Then the number of the retail stores will be 89.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A city manager made a scatter plot of the number of retail stores in a certain city over the years.

The scatter plot had a trend line with an equation of y = 11x + 12, where y is the total number of retail stores and x is the number of years since 1990 Mark and his family moved to the city in 1997.

Use the equation to predict the number of retail stores there were in 1997 will be

The number of the years will be

x = 1997 - 1990

x = 7 years

Then we have

y = 11 × 7 + 12

y = 77 + 12

y = 89

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Can one of y’all help me with this pls

Answers

Answer:

d. 42

Step-by-step explanation:

PEDMAS

We do brackets first, so:

4 + 4 = 8

Then multiplication,

5 x 8 = 40

Then addition

40 + 2 = 42

The answer isD5x(4+4)+2

4+4=8

5(8)+2

5x8=40

40+2= 42

mb- The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (2,100) and (4,200) to find the number of soda bottles the machine can make each minute ​

Answers

Answer:

1200

Step-by-step explanation:

We can gather from what's given that y=20xy represents the total number of bottles produced in the given time in seconds, which is x. When x=1, y=20, This means that each second the machine can make 20 soda bottles. Each minute is 60 seconds, so when x=60, y=20*60 =1200 soda bottles.

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

If I remember correctly it should be 7 for the first one and 5 for the second

Answer:

7 & 5

Step-by-step explanation:

Hope it helps:)!!!!!

Answer pllzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

3 a) 6

3 b) 12

3 c) 12

4 a) 4/5

4 b) 10/9

4 c) 17/15

If a || b || c and m∠9 = 76°, find the measure of each missing angle.

Answers

Answer:

m∠1 = m∠3 = m∠5 = m∠7 = m∠9 = m∠11 = 76°

m∠2 = m∠4 = m∠6 = m∠8 = m∠10 = m∠12 = 104°

Step-by-step explanation:

Vertical angles are congruent.  When lines are parallel, corresponding angles are congruent.

m∠1 = m∠3 = m∠5 = m∠7 = m∠9 = m∠11 = 76°

m∠2 = m∠4 = m∠6 = m∠8 = m∠10 = m∠12 = 180 - 76° = 104°

The area of the base of this cylinder is 25picm^2 and the height of the cylinder is 8cm. Find the surface area of the cylinder.

Answers

Answer:

408.2cm

Step-by-step explanation:

Given data

Area of base= 25πcm^2

Height= 8cm

Let us find the radius of the cylinder

Area= πr^2

25π= πr^2

25= r^2

r= √25

r= 5cm

Let us now find the surface area

SA=2πrh+2πr^2

Substitute

SA= 2*3.14*5*8+ 2*3.14*5^2

SA= 251.2+ 157

SA= 408.2cm

Hence the surface area is  408.2cm

A. (-1,0)
B. (0, -2)
C. (-2, 0)
D. (0, -1)

Answers

Answer:

the answer is B, (0, -2) :)

Step-by-step explanation:

Can someone please help me

Answers

Answer:

1/6

Step-by-step explanation:

he has 1 chance to roll 6 different numbers

7)
You are asked to solve 12x – 18 = 126. Which three statements are true?
A)
First, subtract 126 from both sides.
B)
First, add 18 to both sides.
12x = 144
D)
x=9.
E
x = 12

Answers

The answers is D I had this question

Answer:

B, C, and E

Step-by-step explanation:

A sphere just fits inside a cube with edges 20 in. Long. What is the volume of the sphere? What is the volume of the cube? What is the volume of the space between the cube and sphere?

Answers

Answer:

Step-by-step explanation:

Volume of a cube = (side)³

                              = (20)³

                              = 8000 cubic in.

Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = Radius of the sphere

Since, sphere just fits in, radius of the sphere = half of the dimension of the cube

r = [tex]\frac{20}{2}[/tex]

r = 10 in

Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]

                                                        = 4188.79 cubic inch

Volume of the space between the cube and sphere = 8000 - 4188.79

                                                                                       = 3811.21 cubic inch

help me its due in 13 mins i forgot about it ​

Answers

Answer:im so sorry but i cant see the page you should take a more clear picture and send it again

Step-by-step explanation:

If 6 bales are needed to feed 20 head of cattle, how many bales are needed to feed 100 head of cattle?

Answers

Answer:

333

Step-by-step explanation:

Answer:

the answer is 30

Step-by-step explanation:

[tex]100 \div 20 = 5 \\ 6 \times 5 = 30[/tex]

evaluate the following using distributive property
(-15/4 x 3/7 + -7/5 + (-15/4 x -12/5)

Answers

Answer:

5.99285714286

Step-by-step explanation:

5.99285714286

Help me please.. :) :) :) :) :) :)

Answers

Answer:

Reflection Waves(i think)

Step-by-step explanation:

When light bounces off something then that is reflection and music travels in sound waves so I would say waves.

Reflection and waves

I need help (20 points)

Answers

since x = 3 is a line that goes from left to right and we need to find an equation that also goes left to right. we can do x = 5 or really any number to equal x to.

What it (f+g)(y) for the functions
F(y)=5y^2-2y+1
G(y)=-3y^2-y-2

Answers

Answer:

The first choice

Step-by-step explanation:

In the picture above, Goodluck.

Solve for x. Show work

Answers

Answer:

X=11

Step-by-step explanation:

5x+10+58=11x+2

-6x+68=2

-6x=-66

x=11

PLZ HELP NO LINKS! WILL GIVE BRAINLIEST!
There are 6500 people in a certain area. The area is growing at a rate of 3.5%.

Use the formula A=Pertto calculate the time it would take for the area to reach 11500 people. Calculate the solution for t to the nearest tenth using logarithms.

Answers

Answer:

24,831.28

Step-by-step explanation:

Brainliest pls

Answer:

t = 16.6

Step-by-step explanation:

In the formula:

[tex]a = p(1 + r )^{t} [/tex]

A is the final amount, in this case is 11500 people. P is the initial amount, in this case is 6500 people. r is the growth rate, which in this case is 0.035 - we have to express it s a decimal, not a percent. And finally t is the time, which is the variable we want to find.

Let's clear t first and replace all these values at the end. To clear t we have to leave only the factor which exponent is t on one side of the equation. To do this we have to divide both sides by P:

[tex] \frac{a}{p} = \frac{p}{p} (1 + r) ^{t} \\ \frac{a}{p} = (1 + r)^{t} [/tex]

Now we have to use the following rule for the exponents and logarithms:

[tex] {a}^{x} = b[/tex]

Apply logarithms on both sides:

[tex]log( {a}^{x}) = log(b)[/tex]

By the exponents rule of logarithms

[tex]x \: log(a) = log(b)[/tex]

For this problem we have:

[tex]log \frac{a}{p} = log(1 + r)^{t} \\ log \frac{a}{p} =t \: . \: log(1 + r)[/tex]

Now we have to divide both sides by log(1+r) to clear t:

[tex]log \frac{a}{p} = t \: . \: \frac{log(1 + r)}{log(1 + r)} \\ t = \frac{log \: \frac{a}{p} }{log(1 + r)} [/tex]

And finally we just have to replace the values into this equation we found: A = 11500, P = 6500 and r = 0.035:

[tex]t = log \: \frac{11500}{6500} \\ log(1 + 0.035) \\ log \: \frac{23}{13} \\ t = log \: 1.035 \\ t = 16.6[/tex]

finish solving for x
NO LINKS OR I WILL REPORT

Answers

Answer:

x=10  y=20

Step-by-step explanation:

All Questions Are Above

Answers

Answer:

...

Step-by-step explanation:

2. 5.25, because the radius is half the diameter

3. 3 in because the diameter is 2x the radius

4. i.dk this one sorry

Answer:

2. 5.25in

3. 3 in

4. 81.68 or 82

Step-by-step explanation:

The first two are basically multiplication and division. radius is half the diameter, and diameter is the whole of radius.  the circumference is 3.14 or [tex]\pi[/tex] x diameter

so you need to add the radius (13) by itself (13+13) to get the diameter (or 13*2) then multiply by 3.14159. (26*3.14159 = 81.68) and if you need to round its 82.

~R3V0

PLEASE ANSWER I WILL GIVE YOU BRAINLIEST

Answers

Answer:

answer is A

hope it helps

A is the answer in here

Giving brainliest to whoever can solve the problem in this image

Answers

Answer:

Its A

Step-by-step explanation:

V = (π)r^2(h)

R = 1/2 diameter

   = 24/2 = 12

   = 12

H = 12

V = (π)12^2(12)

V = (π)144(12)

V = (π)1728

V = 5428.67

Most likely C

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 15
Green 6
Yellow 5
Purple 8
Based on these results, express the probability that the next spin will land on purple as a decimal to the nearest hundredth.

Answers

Answer:

The probability that the next spin will land on blue is 0.12.Step-by-step explanation:

The result of the several spins are as follows:

Color           Frequency

Red                  18

Blue                   9

Green               18

Yellow              19

Purple               12

TOTAL             76

Compute the probability that the next spin will land on blue as follows:

Thus, the probability that the next spin will land on blue is 0.12.

Find the difference:
3 4/6 - 1/6
O A. 21 / 1
O B. 273
O c. 3 1 / 3
N-
D. 34
E. 3
O E. 3

Answers

Answer:

3 1/2

Step-by-step explanation:

4 1 3

_ - _ = _

6 6 6

Then we simplify. 3 3 1

_ ÷ = _

6 3 2

Then just add your 3 and there 3 1/2 is your asnwer

The difference between 3 4/6 and 1/6 will be 3 1/2.

Given numbers are:

(1)[tex]3\frac{4}{6}[/tex] [tex]=\frac{22}{6}[/tex]

(2)[tex]\frac{1}{6}[/tex]

What is a fraction?

A fraction is a part of a whole.

The Difference between [tex]3\frac{4}{6}[/tex] and [tex]\frac{1}{6}[/tex] will be = [tex](\frac{22}{6} )-(\frac{1}{6} )[/tex]

[tex]=\frac{22}{6} -\frac{1}{6}[/tex]

[tex]=\frac{21}{6}[/tex]

[tex]=\frac{7}{2}[/tex]

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

Hence, the difference between 3 4/6 and 1/6 will be 3 1/2.

To get more about fractions visit:

https://brainly.com/question/78672

ill choose brainliest if bestt

Answers

Answer:

A rectangle.

Step-by-step explanation:

The shape of the data distribution is a rectangle.

Complete the sentence below.
The amplitude of the graphs of the sine and cosine functions is __
and the period of each is
__

Answers

The amplitude of the graphs of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.

And the period of each is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

The amplitude of each of the graphs of the sine and cosine functions is 1

The period of each of the graphs of the sine and cosine functions is 2π.

By definition, the amplitude of the graphs of the sine and cosine functions is defined as the vertical distance between the x - axis which is also called the sinusoidal axis and the peak value which is the maximum or minimum points located on the graph curve function. The basic graphs of sine and cosine function are the same and they have an amplitude equal to 1.

By definition, the period of the graphs of the sine and cosine functions is defined as the the distance between two peaks of the graph or the period for which the graph repeats. In this case the time period is always 2π.

Read more at; https://brainly.com/question/3919296

need help asap! solve for x, the measure of the altitude in the given triangle

Answers

Answer:

3.9

Step-by-step explanation:

[tex]8^{2} -7^{2} =15[/tex]

[tex]\sqrt{15} =3.9[/tex]

Your friend thinks that the regular pentagon in the diagram has 10 lines of symmetry. Explain and correct your friend's error.

Answers

Answer:

A pentagon has 5 lines of symmetry, not 10.

Step-by-step explanation:

There are only 5 lines connecting to form a pentagon and all five lines are the same length.

A pentagon has 5 lines not 10

ANSWER
NO LINKS I WILL REPORT ​

Answers

Answer:

they all have a probability of 1/3

Other Questions
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this. How does the author weaken the opponents' position? A. The author uses statistics to prove an opponent's argument wrong. B. The author spreads rumors to ruin the reputations of opponents. C. The author uses name-calling to hurt the feelings of opponents. D. The author agrees with an opponent's argument to acquire trust. What is the period of a wave with a speed of 20.0 m/s and a frequency of 10.0 Hz? Question 8Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10?commutativeassociativeO distributive can yall help me please dont skip What was truly wrong with Enzinma/ she was sick with what? How do you know if something is congruent? (scale Factors) 6- Which word can be used as a synonym to the word suspicion in the following sentence? "Many people accept appearances without suspicion." *1.proof2.knowledge3.belief4.doubt The moist bread becomes mouldy after a few days when it is left in a container with a cover. Which of the following conditions favour the growth of the fungus? You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary. The operating revenues of the three largest business segments for Time Warner, Inc., for a recent year follow. Each segment includes a number of businesses, examples of which are indicated in parentheses. Time Warner, Inc. Segment Revenues (in millions) Turner (cable networks and digital media) $21,700 Home Box Office (pay television) 22,200 Warner Bros. (films, television, and videos) 80,600 Assume that the variable costs as a percent of sales for each segment are as follows: Turner 22% Home Box Office 47% Warner Bros. 32%Determine the contribution margin and contribution margin ratio. Enter amounts in millions. When required, round to the nearest whole millionth (for example, round 5,688.7 to 5,689). Round contribution margin ratio to the nearest whole percent for each segment from the information given. Enter all amounts as positive numbers. 40% 35% 25% Turner Home Box Office Warner Bros. Revenues Variable costs Contribution margin Contribution margin ratio (as a percent) b. Does your answer to (b) mean that the other segments are more profitable businesses? it all adds up worksheet four Axil Corp. has not tapped the Deutsche mark public debt market because of concern about a likely appreciation of that currency and only wishes to be a floating-rate dollar borrower, which it can be at LIBOR + 1%. Bevel Corp. strongly prefers fixed-rate DM debt, but it must pay 1.5% more than the 6.25% coupon that Axil's DM notes would carry. Bevel, however, can obtain Eurodollars at LIBOR + 1/2%. Show work and explain.1. What is the maximum possible cost savings to Axil from engaging in acurrency swap with Bevel?2. What is the maximum possible cost savings to Bevel from engaging in acurrency swap with Axil? the dot plot shows the number of hours that 40 students studied each week make a statement that describes the overall pattern of the data in the plot. support your statement by describing clusters,gaps and/or peaks What is the magnitude of -10 + 24i? Qu opcin usa se para indicar un suceso accidental?Se llev los planes para la nave espacial.Quiere el nuevo modelo? Cmpraselo.Se le rompi el modelo de la nave espacial.Se asust cuando vio la nave espacial. If a dilation with a scale factor of 5 is performed to ADEF, what will be thecoordinates of the new triangle?D(-5,-2)E(-5,3)F(2,3)o D'(-25,-10) E'(-25,15) F(10,15)o D'(-20,-10) E'(-20,15) F'(5,15)o D'(-1,5) E'(-1,3) F'(5,3) I'LL GIVE BRAINLIEST !!!!What is the atmosphere? Which of the following pieces of information is NOT commonly collected on a job application? A. Social media linksB. Contact informationC. Education historyD. Prior work experience can someone help me ASAP or now? I need help to synthesize about what the benfits about poverty(ITS FOR SCHOOL)and its still class time I only have 3 minutes to answer!!!!!