Solve the quadratic equation and give both solutions.

14x^2 − 29x − 15 = 0

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]x_{1,\:2}=\frac{-\left(-29\right)\pm \sqrt{\left(-29\right)^2-4\cdot \:14\left(-15\right)}}{2\cdot \:14}[/tex]     so    [tex]x=\frac{5}{2}[/tex]     [tex]x=-\frac{3}{7}[/tex]


Related Questions

someone please help me i am so bad with point slope stuff
Write the equation of the line that passes through the points (2,−6) and (6,-6).
Write the equation of the line that passes through the points (9,8)and (6,3).
Write the equation of the line that passes through the points (-9,-4) and (-9,-4).
What is the equation of the line that passes through the point (−8,5) and has a slope of 0?
What is the slope of the line that passes through the points (-2, 7)and (2, -5).
What is the slope of the line that passes through the points (6, -5)and (6, -8).

Answers

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

So the equation you want to use is this:   [tex]\frac{y2-y1}{x2-x1}[/tex]

1.) Plug in

[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]

This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)

-6 = 0(2) + b (b represents y-intercept) (0*2=0)

-6 = b

So the equation is y = -6

2.) Do the same thing.

[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]

It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)

3 = 5/3(6) + b (5/3*6 = 10)

3 = 10 + b (subtract 10 on both sides)

-7 = b

y = 5/3x - 7

3.) For this one you are just going to point slope form. y - y1 = m(x - x1)

Plug in

y - 5 = 0(x - (-8))

y - 5 = 0 (add 5 to both sides)

y = 5

4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one

Plug in

[tex]\frac{-5 - 7}{2 - (-2)} \\\\\frac{-12}{4} = -3[/tex]

So the slope is -3. Plug into y = mx + b with the point (2, -5)

-5 = -3(2) + b (b represents y-intercept)

-5 = -6 + b (add 6 to both sides)

1 = b

The equation is y = -3x + 1

5.) Do the same thing as #4

[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]

This slope is undefined

Since you can't divide by 0 the equation would be

x = -3

Hope this helps ya!!

What decimal is equivalent to 21% ?


HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

...it’s 0.21 because 21% is 21/100 which makes it 0.21
It should be .21 just move the decimal over two times to the left

at 6:00 PM it’s 24°F at midnight the temperature was 636°F lower than Apple what will the temperature at midnight

Answers

Answer:

A)12 F.

Step-by-step explanation:

compute the sum of the first 40 positive multiples of 3

Answers

Answer:

fvhfbevhebeo

Step-by-step explanation:

Answer: 2460

Step-by-step explanation: Used a calculator, and added from 3 x 1, since the answer is the first 40 positive multiples.

Another way is: 3 + 6 + 9 + ... + 120. There are 40 numbers, so 20 pairs of 123. 123 x 20 + 2460 :)

HOPE THIS HELPS <3

Can you guys please with me out with the question please

Answers

Answer:

Team score in first game < 19

Step-by-step explanation:

Point Scored in Third Game =X

Points Scored in First Game = X+6 (6 more than third game)

Points Scored in Second Game = 23

Total Points ={( First Game) +( Second Game) + (Third Game)} < 55

                      { ( X+6) + (23) + (X)} < 55

                       X+29+X < 55

                       2X+29 < 55

                       2X< 55-29

                       2X < 26

                         X <26/2

                         X<13

So the point scored in First game is: (X+6)

Where X < 13

So the point in First game is < 19

A car is sold for $18,000. After one year, the value of the car is $9,900. Write an exponential function y to determine the value of
the car after x years if the rate of decrease is the same each year.
y =
Estimate the value of the car after 6 years. Round the answer to the nearest dollar.

Answers

Answer:

temperature and kinctic energy are related

i need points. hope you understand.

Suppose you deposit $600 in a bank account with a simple interest rate of 2.5%. You want to keep
your deposit in the bank long enough to earn at least $120 in interest. How long should you keep your
deposit in the bank?
To earn at least $120 interest, you should keep your deposit in the bank for year(s).

Answers

Answer:120/2.5%

Step-by-step explanation:

If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

Answers

Answer:

That the graph of (f+g)(x) is a parent graph of f(x) and g(x)

Answer:

A. The leading coefficients of f(x) and g(x) are opposite

Step-by-step explanation:

Why is this the answer can u show work please

Giving extra points

Answers

Please mark brainliest!

Pls help i dont get i t
The store is selling 6 oranges for $ 1.80. How much will it cost to buy 16 orange .Show work .

Answers

Answer:

$4.80

Step-by-step explanation:

6 oranges for 1.80

sp 6 divided by 1.80 comes out to 0.3 per orange

0.3 times 16 comes out to 4.80

therefor $4.80

Answer:

$4.80

Step-by-step explanation:

1.80/6=0.3

0.3=$0.30 for each orange

16×0.3=4.8

4.8=$4.80 for 16 oranges

rewrite the function f(x)=-3(x+3)^2-13
in the form f(x)=ax^2+bx+c

Answers

Answer:

-3x^2-18x-40

Step-by-step explanation:

(x+3)^2: x^2+6x+9

= -3(x^2+6x+9)-13

Expand:

-3(x^2+6x+9): -3x^2-18x-27

= -3x^2-18x-27-13

Final Answer: -3x^2-18x-40

Answer:

-3x^2-18x-40

Step-by-step explanation:

-3(x+3)^2-13

-3(x^2+6x+9)-13

-3x^2-18x-27-13

-3x^2-18x-40

Brooke already owns 4 necklaces, and additional necklaces are priced at 2 for a dollar. With $2 to spend on new necklaces, how many total necklaces can Brooke own? Write and solve an equation to find the answer.

Answers

4+1+1=6

Step-by-step explanation:

she already has 4 necklaces so than she got 2 for a dollar so that equals 6.

She can own 4 necklaces because she gets 2 just for one dollar hope this helps

Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 64 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.2?

Answers

Answer:

0.9594

Step-by-step explanation:

Given that:

Sample size (n) = 64

p = 30% = 0.3 ; 1 - p = 0.7

Probability that sample proportion is greater than 0.2

Mean (m) = n*p = 64 * 0.3 = 19.2

Standard deviation (s) = √n*p*(1-p) = √(19.2*0.7)= 3.67

0.2 of 64 = 12.8

Z > [(x - m) / s]

Z > (12.8 - 19.2) / 3.67

Z > (-6.4 /3.67)

Z > - 1.7438

= 0.9594

1. The sum of 6 and the quotient of a number and 4 is 10.

Answers

Step-by-step explanation:

20÷4=20/4=5 is the quotient I'm pretty sure

Answer:

34                       Sorry if im kinda late

Step-by-step explanation

The equation is 6+x/4=10. now we figure out what x=? there are a lot of ways to figure out the answer this is what im gonna do first figure out what divided by 4 equals 10. multiply 10 times 4 you get 40 which means 40 divided by 4 equals 10 now subtract 6 from 40 and you get 34.

Please mark brainliest.

are sports important in our life why?​

Answers

Answer:

I think so yeah to keep a healthy lifestyle

Step-by-step explanation:

to get fit, and possibly lose weight

Answer:

Sports are a fundamental part of the lives of millions of men and women all over the world. Sports helps build talent and hobbies so that the people can be better at delivering them for personal and professional purposes. Sports also serve as a good leisure activity meant to relieve one from physical and emotional stress hence a healthy living.

Step-by-step explanation:

An airplane travels 550 miles from North Carolina to Tennessee in 90 minutes. At this rate, how many minutes will it take the airplane to travel 6,600 miles?

Answers

Answer:

It will take 1,080 min or 18 hours

Step-by-step explanation:

Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too

Andrea has 8 books on her summer reading list . She has read 5 out of the 8 books.what percent does she have left to read! Pls help ASAP!!

Answers

Answer:

3 percent because 8-5=3

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the
water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W

Answers

Answer:

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Step-by-step explanation:

From Physics we understand that conversions are represented by the following linear equation:

[tex]u' = r\cdot u[/tex] (1)

Where:

[tex]u[/tex] - Original value, measured in original unit. (pounds)

[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)

[tex]u'[/tex] - Final value, measured in final unit. (gallons)

If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:

[tex]A = \frac{W}{8.34}[/tex]

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Six comics are to perform on a single evening. Find the probability

Answers

Answer:

1 in 6

Step-by-step explanation:

Help ASAP ASAP number 6

Answers

The answer is c let me know if you need an in depth. If this helped in anyway a brainliest would be appreciated.
the answer is c !! :)

Simplify: –6(2x – 5)


–12x – 30


–12x + 30


12x – 30


12x + 30

Answers

Answer: -12x + 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-6(2x-5)

-6(2x+5)

-6(2x) + 6(5)

-12x +30

A checking account is overdrawn if it has a
negative balance. Marc's account is overdrawn by
$45. What will the balance be after he deposits
$170 and writes a check for $59?

Answers

Answer:

64.

Step-by-step explanation:

170 - 59 = 109

109 - 45 = 64

or do

59 + 45 = 104

104 - 170 = 64

Answer: it’s 66

Step-by-step explanation:

Two math questions


Among all pairs of numbers whose sum is 14​, find a pair whose product is as large as possible. What is the maximum​ product?
The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.
​(Use a comma to separate​ answers.)
The maximum product is nothing.

and

- refer to picture

Answers

Question is not clear

Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?

Select one:
A. 28
B. 34
C. 43
D. 56

Answers

Answer:

A. 28

Step-by-step explanation:

A. 28

step 1.

We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.

step 2.

Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.

step 3.

Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.

A company charges 59.99 for cable TV and 49.99 per month for basic cable service How much will it cost for installation and one year of basic cable service

Answers

59.99 + 49.99(12)

49.99(12) = 599.98

599.88 + 59.99 = 659.87

It will cost $659.87.

if you answer correctly ill give brainliest

Answers

answer: heheheheheh
explanation: hehehehehe

(please answer)
If f(x) = (x + 3) - 2, which of the following is the value of f(-3)?

Answers

Answer:

f(3)= 4

Step-by-step explanation:

x= -3=0

x= 3

f(3)=(3+3)-2

f(3)= 6-2

f(3)= 4

Which represents a function? Edge 2020.

Answers

The data set {(-8,-2),(-4,1),(0,-2),(2,3),(4,-4)} represents a function because for every distinct input x has only one output y, whereas all the other data sets have at least one point of x in which has two or more outputs of y.

I WILL MARK BRAINIEST

Answers

Answer:

m<4= 60

m<1=60

m<3=30

Step-by-step explanation:

I'd like to explain but I would be very difficult to do with out being in person

Answer:

m1 = 60°

m2 = 90°

m3 = 30°

m4 = 60°

Step-by-step explanation:

m<5 + m<4 = 180° ( on a straight line)

120° + m<4 = 180°

m<4 = 60°

m<2 = m<3 + m<4

90° = m<3 + 60° ( on a straight line)

m<3 = 90° - 60°

m<3 = 30°

m<1 + m<2 + m<3 = 180°

m<1 = 180 - 90 -30

m<1 = 60°

What is the volume for 14 8 10 10 10 8?

Answers

Answer:

I believe volume is three dimensions. And thus three terms, so I don't believe you have the right setup. Or you need to clarify something somewhere.

Step-by-step explanation:

Other Questions
What is the nth term rule of the linear sequence 6,13,20,27,34? PLS PLS SOMEONE HELP ME ANSWER THESE QUESTIONS PLEEEAAASSSE!!(press on the picture so you can see the questions better!) If I get it right i will give brainlist a supersonic aircraft travels faster than the speed of sound. What might be the top speed of such an aircraft? 200 Kilometers per hour 500 Kilometers per hour O 1000 Kilometers per hour O 1500 Kilometers per hour How to make oatmeal which step is done first which step is done last Solve the equation5(4+t) = 5t + 20 A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours? (9,-8) and (9,6) and determine the equation of the line. Which equation is represented by the graph below? 1. Mi amiga Cristina Enter Text enter answer Enter Text enter answer a Mxico; por eso (that's why) organizamos una fiesta. 2. Yo Enter Text enter answer Enter Text enter answer y preparo la cena. 3. T Enter Text enter answer Enter Text enter answer y cantas. 4. Muchos amigos Enter Text enter answer Enter Text enter answer . 5. Al final, nosotros Enter Text enter answer Enter Text enter answer . Part AWhat is one of Roosevelt's purposes for delivering this speech?A: to highlight the number of Japanese attacks in the PacificB: to share information yet keep Americans feeling safeC: to remind Congress that he previously warned of a possible attackD: to illustrate how dangerous the Japanese forces are Part B How does Roosevelt use rhetoric to advance the purpose identified in Part A?1: He uses overstatement, such as the references to "hostilities" and "grave danger," to stress that he knew the country was in danger.2: He uses figurative language, describing the day of the attack as one that will "live in infamy," to threaten the Japanese.3: He uses logical fallacies, such as the phrase "premeditated invasion," to strike fear into the hearts of America's enemies.4: He employs phrases with charged language, such as "righteous might" and "absolute victory," to make Americans feel secure and confident.Use the "Day of Infamy" speech by Franklin Delano Roosevelt to answer the questions above. Write a program that contains three methods: Method max (int x, int y, int z) returns the maximum value of three integer values. Method min (int X, int y, int z) returns the minimum value of three integer values. Method average (int x, int y, int z) returns the average of three integer values. What would happen to an animal cell with an internal salt concentration of 10% if it were placed in a salt solution with a concentration of 30%? O The water would move out of the cell and the cell would decrease in size. O The water would move into the cell and the cell would increase in size. O The salt would move into the cell and the cell would increase in size. O The salt would move out of the cell and the cell would decrease in size.. A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8What is the variance of the data set? Round to the nearest hundredths.0.400.721.152.14 Why did filibusters fight against Spanish rule in Texas? The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)? Match the person with the invention or idea for which he is known.1. Sir Isaac Newton printing press 2. Galileo gravitation 3. Johannes Gutenberg telescope An example of a complex carbohydrate? A- fruits B- vegetables C- whole grains What made it possible for Philip II to succeed in Greece?A:his interest in philosophyB: a peace agreement with PersiaC: conflict among his scattered tribes D: division between Greek city states Which feature most helps indicate to the reader that thismodern translation was originally an Old English poem?Read the passage from "A Shield."A lonely warrior, I am wounded with iron,Scarred with sword-points, sated with battle-play,Weary of weapons. I have witnessed much fighting,Much stubborn strife.O alliterationO characterO plotO rhyme