please help me with this....!!!!!!!!

Please Help Me With This....!!!!!!!!

Answers

Answer 1

Answers:

5x^2 + 2 = 4x  has no real solutions3x^2 + 24x = -48 has exactly one real solution3(x+5)^2 = -2 has no real solutions4x^2 - 16x = 0 has two real solutions

======================================================

Explanation:

We can use the discriminant formula to determine how many (and what type of) roots we have. The term "root" is another word for "solution" or "x intercept". It's the x value that makes y = 0.

Any quadratic is of the form ax^2 + bx + c = 0

The discriminant formula is

d = b^2 - 4ac

which is found underneath the square root in the quadratic formula.

Here are the three possible outcomes

d > 0: we get two different real number solutionsd = 0: we have exactly one real number solutiond < 0: there are no real number solutions (the two solutions are complex or imaginary numbers).

With all that in mind, let's find the discriminant of the first equation on the very left.

First we need to get it into standard form ax^2+bx+c = 0

5x^2 + 2 = 4x

5x^2 - 4x + 2 = 0

We see that

a = 5b = -4c = 2

Computing the discriminant gets us...

d = b^2 - 4ac

d = (-4)^2 - 4(5)(2)

d = 16 - 40

d = -24

The actual discriminant value itself doesn't matter. All we care about is whether its positive, zero, or negative.

In this case, we get a negative discriminant. So this equation goes to the "no real solutions" column.

-------------------------

Let's move onto the next quadratic

3x^2 + 24x = -48

3x^2 + 24x + 48 = 0

a = 3, b = 24, c = 48

d = b^2 - 4ac

d = 24^2 - 4(3)(48)

d = 0

The discriminant of zero means this equation goes into the "exactly one real solution" category.

-------------------------

For the next equation, we don't need to use the discriminant formula here.

Notice that the right hand side is negative, but the left side is never negative because 3 is positive and (x+5)^2 is never negative. There is no way to have 3(x+5)^2 be negative if we let x be a real number only.

The equation 3(x+5)^2 = -2 goes into "no real solutions" pile.

-------------------------

For the last equation, we have

a = 4, b = -16, c = 0

So,

d = b^2 - 4ac

d = (-16)^2 - 4(4)(0)

d = 256

The result is a positive number, so we have two different solutions.

The discriminant is a perfect square which means we not only have real number solutions, but those solutions are rational numbers. This only works when a,b,c are rational as well.


Related Questions

Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
y – 7 = 3(x – 1)
y – 1 = 3(x – 7)
y – 7 = 4(x – 1)
y – 1 = 4(x – 7)

Answers

Answer: it’s the third option

Step-by-step explanation:

Answer:

y – 7 = 4(x – 1)

Step-by-step explanation:

Third option

help please
i don't understand

Answers

Answer:

I believe it has 9 edges, comment if u need me to explain more

Answer:

6

Hope it helps!

It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.

Answers

Answer:

[tex]k = (-162)[/tex].

Step-by-step explanation:

A point of the form [tex](x_{0},\, y_{0})[/tex] belongs to the graph of this function, [tex]y = k / x[/tex], if and only if the equation of this function holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex].

The question states that the point [tex](-9,\, 18)[/tex] belongs to the graph of this function. Thus, the equation of this function, [tex]y = k / x[/tex], should hold after substituting in [tex]x = (-9)[/tex] and [tex]y = 18[/tex]:

[tex]y = k / x[/tex].

[tex]18 = k / (-9)[/tex].

Solve this equation for the constant [tex]k[/tex]:

[tex]\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}[/tex].

Thus, [tex]k = (-162)[/tex].

10. Determine whether MN and RS are parallel, perpendicular, or neither. M(-2, 2) N(1.-3) R(-2, 1) S(3,4)​

Answers

Answer:

3.4 and 1 - 3

Step-by-step explanation:

LCD 7/8 and 1/4
Im stuck
help pls

Answers

Answer:

2

Step-by-step explanation:

It's the lowest common denominator si the answer is 2

What is x?
5x - 1 = - 8

Answers

Answer:

x = -1.4, -7/5, or -1 2/5 (all same answer, just in different forms)

Step-by-step explanation:

Step 1: Add 1 to both sides.

[tex]5x-1+1=-8+1[/tex] [tex]5x=-7[/tex]

Step 2: Divide both sides by 5.

[tex]5x/5=-7/5[/tex] x = -1.4, -7/5, or -1 2/5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

x = -7/5 or -1.4

Step-by-step explanation:

Given :-

5x - 1 =  -8

To Find :-

x

Solving :-

5x - 1 = -8

5x = -7

x = -7/5 or -1.4

Solution :-

x = -7/5 or -1.4

What is the area of the parallelogram?
11 in.
13 in

A. 290 in.^2
B. 286 in.^2
C. 143 in.^2
D. 71.5 in^2

Answers

C. A= B*h. 11x13=143.

A bag contains 15 marbles. The probability of randomly selecting a green marble is One-third. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is StartFraction 1 over 15 EndFraction. What is the probability of randomly selecting a red marble? StartFraction 1 over 45 EndFraction StartFraction 1 over 5 EndFraction StartFraction 4 over 15 EndFraction Two-fifths.

Answers

The probability of randomly selecting a red marble will be P=1/45

What is probability?

The probability is defined as the chances of happening of any event it is defined as the ratio of required outcomes to the total number.

Now here is the question, it is given that

Total marbles in the bag = 15

probability of randomly selecting a green marble =  [tex]\dfrac{1}{3}[/tex]

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is   [tex]\dfrac{1}{15}[/tex]

So, the probability of randomly selecting a red marble will be the product of the two probabilities.

[tex]P= \dfrac{1}{3} \times \dfrac{1}{15}[/tex]

[tex]P=\dfrac{1}{45}[/tex]

Thus the probability of randomly selecting a red marble will be

[tex]P= \dfrac{1}{45}[/tex]

To know more about probability follow

https://brainly.com/question/24756209

FInd the area of the figures

Answers

Answer:

What is that on

Step-by-step explanation:

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance. How much greater is the minimum payment on Card E than on Card D? a. $18. 85 b. $8. 10 c. $11. 24 d. $0. 77 Please select the best answer from the choices provided A B C D.

Answers

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

What is percentage ?

Percentage is a number or ratio expressed as a fraction of 100.

Here given that

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance

So minimum balance of Card D is 3.57 Percentage  of $ 691.64

[tex]=3.54\times\frac{691.64}{100} =24.691548=24.69[/tex]

minimum balance of Card E is  2. 51 Percentage  of  $1,014. 22.

[tex]=2.51\times\frac{1014.22}{100} =25.456922=25.46[/tex]

Now we can see that minimum balance of Card E is 25.49-24.69=0.77 extra that on D

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

To learn more about Percentage  visit : https://brainly.com/question/19247356

Find the equation of a line through (-3,5) and perpendicular to (1,-3) (6,1)

Answers

Step-by-step explanation:

simply use the formula as given in the image

The scatterplot shows the relationship between the time a water balloon is filled from a running faucet and the volume of the balloon.


Which transformations would display linearized data? Check all that apply.


ln(Time), ln(Volume)

Time,

Time3, Volume3

Time, log(Volume)

Time3, Volume

Answers

Answer:

a,b,e

Step-by-step explanation:

Answer:

A; B; E

In(Time), In(volume) ; Time,3/volume ; Time^3, Volume

Step-by-step explanation:

I WILL GIVE BRAINLEST IF ANSWER IS CORRECT AND U ARE FIRST!!!!!!!!!!!!!!!!!!!!!!!!!
Sean is raising funds for an event at his school. He has collected $25 each from x
people, and he is still $100 short of his goal.
The expression that gives his goal is _____.

Answers

Answer:

25x-100= a

let a= the amount of money for his goal????

Step-by-step explanation:

What’s the scale factor?

Answers

Your gonna do 6/9 is equal to X/15 cross multiply and divide 6times15=90 and X times nine is 9x so divide by 9 on both sides and you get 10

A biologist hopes to estimate the proportion of alligators in Florida that are adult. When sampling alligators, the biologist computes the one-proportion Z-interval going from 0.67 to 0.74 at 99% confidence. The margin of error for a 95% confidence interval would be:_____.

Answers

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for a 95% confidence interval would be of 0.0008.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Considering the 99% confidence interval, which has z = 2.575, the estimate and the sample size are given by:

[tex]\pi = \frac{0.67 + 0.74}{2} = 0.705[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.74 - 0.705 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]

[tex]0.035 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.575\sqrt{0.705(0.295)}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.705(0.295)}}{0.035}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.705(0.295)}}{0.035}\right)^2[/tex]

[tex]n = 1126[/tex]

Hence, the margin of error is given by:

[tex]M = 1.96\sqrt{\frac{0.705(0.295)}{1126}} = 0.0008[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

rectangle has sides that are 25 m, 25m, 9m, and 9 m. What is the rectangle’s width?

10pts

68m


9m


25m


18m

Answers

9m
It said the sides are 25m (x2) and 9m(x2). The width of a rectangle are shorter than the length so 9m.

James has 16 baloons 1/4 of his balloons are red how many balloons deos he have

Answers

answer :
16 balloons
reason :
you're asking how many balloons does he have :>

Answer:

16 balloons

But if your asking how many red balloons, then the answer is 4

Step-by-step explanation:

16 balloons because you asked how many balloons does he have

how much money is 1 dollar, 3 quarters, 1 nickel, and 3 pennies

Answers

Answer:

1.83$

Step-by-step explanation:

Please help, I will give brainliest if you are correct

Answers

Answer:

In 24 years there will be 140 foxes

Step-by-step explanation:

Your answer would be 140 foxes after 24 years

PLEASE HELP ME YOU HAVE TO MAKE AN EQUATION LIKE y=mx+b!!!

Answers

Answer:

5. y=-3x-3

6.y=5/3x+5

Step-by-step explanation:

you take the slope of the line and substitute it for x and take the y-intercept and sub it in for b

I hope this is right

Say you've got a credit score of 750, and you miss one credit card payment will
this impact your credit score MORE or LESS than if your original score was 650?
Why do you think this is the case?

Answers

The higher the score, the greater the decrease will be, since the greater the value of the decreased percentage will be greater too.

Percentages

Given that you've got a credit score of 750, and you miss one credit card payment, to determine if this will impact your credit score MORE or LESS than if your original score was 650, the following calculation must be performed:

Suppose that a non-payment reduces the value of the score by 5%.100 - 5 = 95750 x 0.95 = 712.5 (-37.5)650 x 0.95 = 617.5 (-32.5)

Thus, as can be seen, the higher the score, the greater the decrease will be, since the greater the value of the decreased percentage will be.

Learn more about percentages in https://brainly.com/question/8011401

Your car gets 25 mi/gal around town and 30 mi/gal on the highway.
a. If 50% of the miles you drive are on the highway and 50% are around town, what
is your overall average miles per gallon?
b. If 60% of the miles you drive are on the highway and 40% are around town, what
is your overall average miles per gallon?

need work shown if possible im really confused

Answers

Answer:

Ok so what it is asking on part A is if your driving 50% on the highway which is 30 miles a gallon and 50% on around the town which is 25 miles a gallon then how many miles a gallon are you getting and the answer for that you need to first find what kind of problem it is and in this case you are working with percents so what you first want to do is  multiply 50% to both 30 and 25 which will be 15 and 12.5 then add those together to get you answer now do the same for part B but instead of 50% it will be 60% and 40%.

Step-by-step explanation:

glad I could help

Look at picture need help asap

Answers

Answer:

f^-1 = 3(x + 1)

Step-by-step explanation:

f(x) = (3 - x)/x

y = (3 - x)/x

x = (3 - y)/y

xy = 3 - y

xy + y = 3

y(x + 1) = 3

y = 3/(x + 1)

f^-1 = 3(x + 1)

Draw a picture or model to show the ratio 8:5 explain how you know your picture shows the ratio.

Answers

Answer:

draw a rectangle with side lengths 8 and 5. the ratio of the side lengths will be 8:5.

25 POINTS!!! simplify A=(1/2)(5x-2y)(4x+3y) please help and do step by step​

Answers

Answer:

A= 10x^2 + 7/ 2 xy − 3y^2

Step-by-step explanation:

( 1/ 2) (5x−2y))(4x+3y)

= ( 1/ 2(5x−2y)) (4x+3y)

= ( 1/ 2 (5x−2y)) (4x) + ( 1/ 2 (5x−2y)) (3y)

= 10x^2 − 4xy +  15/ 2 xy − 3y^2

= 10x^2 + 7/ 2 xy − 3y^2

Flower pots cost $60.25 each.
Flower pot saucers cost $25 each.
A customer buys 4 of each.
How much change should the customer
receive from $500?

Answers

Answer:

159 dollars

Step-by-step explanation:

Multiply 60.25 and 25 four times and add them. Then subtract it from a 500.

In the given figure, x = 30°. What's the property of parallel lines used to find x?

Answers

30 degrees as it is opposite to it

Can someone help me figure this out

Answers

Answer:

k is 16 so now u would plug it in.

Step-by-step explanation:

3 is 65 and 9 is 65 because they are alternate interior angles

which is the simplest form of the expresson...​

Answers

should be the last one hope this helps :]

d = 3xy − y I will MARK BRAINLIESTTTTTTTTTTT ASAP PLEAAAAASSSSSSEEEEEE

Answers

Answer:

Since  

3

y

is constant with respect to  

x

, the derivative of  

3

x

y

with respect to  

x

is  

3

y

d

d

x

[

x

]

.

3

y

d

d

x

[

x

]

Differentiate using the Power Rule which states that  

d

d

x

[

x

n

]

is  

n

x

n

1

where  

n

=

1

.

3

y

1

Multiply  

3

by  

1

.

3

y

Step-by-step explanation:

Other Questions
Can someone explain how to do this, I don't need a direct answer I just need an explanation. what two saved paulsen??HELP Three more than "n" is no more than -8.Pls Help A 17 year old basketball player has collapsed on the court. The scene is safe. What is the correct order of skills for layrescuer adult CPR? Check the person for response, call 911, start CPR Check the person for response, call 911, check for a pulse, start CPR Check for a pulse, check the person for response, call 911, start CPR Call 911, check for a pulse, start CPR Leila was asked to solve the equation (x + 5) = 29. The first step she did to solve the equation was (x) + }(5) = 29. What property did she use in this step?1 associative 2 commutative 3 distributive4 reflexive Anna has $2.53. How much money will Anna have left if she buys a bright yellow highlighter and a thin blue marker?thin green highlighter $0.35package of crayons $0.61thin blue marker $0.80bright yellow highlighter $0.74 whas the longest living dog 1. chihuhaha2. husky which contient is at the coordinates 30n 45e Noel is a computer repairman. To fix a computer, he charges a customer $40 per hour, plus a fixed fee of $15 for the service call, as represented by the function f(x) = 40x + 15. In the equation, what is represented by the variable x? which explains whether 18/24 and 63/84 are equivalent fractions The mechanical action of friction causes: chemical energy heat energy potential energy Need help with both shown questions! Tysm!! What is 24^3 - 9 + 8? Factorize if possible please! The length of a rectangle is 5 less than twice its width.The perimeter is 26 meters.Find the dimensions of the rectangle. Is the discriminant of f positive, zero, or negative ? Mario paid $44in taxi fare from the hotel to the airport. the cab charged $2 for the first mile plus $3 for each additional mile. how many miles was it from the hotel to the airport For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from 512 tickets sold. Which equation can be used to find c, the number of student tickets sold? 2)He was definitely a ___________________ basketball player because he used his knowledge of the game when he played.a) consciousb) elicitc) distinctiond) fallacye) ambiguousf) altercationg) chaotich) cerebrali) accomplicej) industrious literary analysis essay on The Diary of a Young Girl Heeeeeeeeeelllppppppp