Y=.5x+4
Y= -.25x^2+5
Using the quadratic formula, what are the solutions?

Answers

Answer 1

Hi there!

[tex]\large\boxed{x = -1 \pm \sqrt{5}}[/tex]

We can solve by setting both equations equal to each other:

.5x + 4 = -.25x² + 5

Move everything to one side:

0 = -.25x² - .5x + 1

Multiply both sides by 4 to cancel out the decimals:

0 = -x² - 2x + 4

Factor out negative from both sides:

0 = x² + 2x - 4

Use the quadratic formula:

[tex]\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Plug in the corresponding terms:

[tex]x = \frac{-2 \pm \sqrt{4-4(-4)(1)}}{2}[/tex]

Simplify:

[tex]x = \frac{-2 \pm \sqrt{4 + 16}}{2}\\\\x = \frac{-2 \pm \sqrt{20}}{2}[/tex]

Simplify the radical to reduce:

[tex]x = \frac{-2 \pm 2\sqrt{5}}{2}[/tex]

Divide all terms by 2:

[tex]x = -1 \pm \sqrt{5}[/tex]


Related Questions

Some1 hurry need help

Answers

Answer:

Y=x/3 is the answer

Step-by-step explanation:

Hope this helps!!

A primary reason that large businesses such as Mercedes Benz, purchase the naming rights to a new sport/event facility (Mercedes-Benz Stadium) is because it provides exclusivity and has potential to maximize exposure of their brand* True False

Answers

True
It only makes sense

Which Number has the highest value?

-25

16

-32

34

Answers

Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

its the largest, positive number

plz i need help asappppppppp

Answers

i think the answer is -5???

Answer:

-10

Step-by-step explanation:

What is 34×67 what is it

Answers

Answer:

2278

Step-by-step explanation:

A used bookstore is having a sale. All paperback books
are $0.75 and all hardcover books are $3. Ginny has $10.
She wants to buy one hardcover book and as many
paperback books as she can. Which inequality represents
this situation, where p represents the number of paperback
books Ginny can buy?

Answers

Answer:

Ha ha ha ha ha

Yo, I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you want my future, forget my past

If you wanna get with me, better make it fast

Now don't go wasting my precious time

Get your act together we could be just fine

I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

Taking is too easy, but that's the way it is

Oh, what do you think about that

Now you know how I feel

Say, you can handle my love, are you for real

(Are you for real)

I won't be hasty, I'll give you a try

If you really bug me then I'll say goodbye

Yo I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

(You've got to give)

Taking is too easy, but that's the way it is

So, here's a story from A to Z

You wanna get with me, you gotta listen carefully

We got Em in the place who likes it in your face

You got G like MC who likes it on a

Easy V doesn't come for free, she's a real lady

And as for me, ha you'll see

Slam your body down and wind it all around

Slam your body down and wind it all around

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

(You've got to give)

Taking is too easy, but that's the way it is

If you wanna be my lover

You gotta, you gotta, you gotta, you gotta, you gotta

Slam, slam, slam, slam (make it last forever)

Slam your body down and wind it all around

Slam your body down and wind it all around

Ha, ha, ha, ha, ha

Slam your body down and wind it all around

Slam your body down and zigazig ah

If you wanna be my lover

Step-by-step explanation:

Kim and Jose shared one whole pizza. Kim ate 4/6 of the pizza, and Jose ate 3/12 of the pizza. How much of the pizza was eaten?

Answers

Answer: 11/12

Step-by-step explanation: You need to make 4/6 by multiplying it by 2. 4/6 would become 8/12. You would then add it by 3/12 getting 11/12.

The radius of a cylinder is 5 cm and the height is 7 cm.
Find the Lateral Area for the cylinder.
8011
A7011
12011
17511

Answers

Answer:

70 π

Step-by-step explanation:

Lateral Area of a Cylinder is A = 2πrh

Substitue the values in the above equation to get:

A = 2(π) * 5 * 7

A = 70 π

HELP DUE TUESDAY (last day of school)

please solve for x and y in the diagrams below:

Answers

x = 10°

y = 112°

Step-by-step explanation:

From the definition of supplementary angles,

68° + y = 180° ---> y = 180° - 68° = 112°

From the definition of vertical angles,

(4x - 2) + 30 = 68

4x - 2 = 68 - 30 = 38

4x = 40

x = 10

Answer:

y+68=180(being straight angle)

y=180-68

y=112

4x-2=30

4x=28

x=7

PLEASE HELP MEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

100,000

Step-by-step explanation:

100,000 x 2 is 200,000

The answer is 100,000. 100,000 x 2 is 200,000

There are 15 boys and 5 girls in a class.
The mean amount of time of finishing a test was 45 minutes for the boys and 55
minutes for the girls.
What was the mean of the class?
Give your answer in minutes to one decimal place.

Answers

Answer: 50.0

Step-by-step explanation:

1. Add 45+55=100

2. Divide 100 by 2 =50

3. Add a decimal after 50.0

Find the missing value in the proportion 12/34 = 18/m.

Answers

Both the top and bottom numbers would have the same scale (ratio) in order to be a proportion.

Find the scale of the top numbers:

18/12 = 1.5

The top numbers have a scale of 1.5 so the bottom numbers also have a scale of 1.5

Multiply the known bottom number by the scale:

M = 34 x 1.5 = 51

Step-by-step explanation:

[tex] \frac{12}{34} = \frac{18}{m} \\ cross \: multiply \\ 12m = 612 \\ m = \frac{612}{12} \\ m = 51[/tex]

Find the volume of the square pyramid shown (please help)

Answers

Answer:

Given:

     b = 8 cm

     h = 3 cm

Find : Volume

Formula: V = [tex]a^{2}[/tex]h/3

Solution: V = (8 cm)2 ( 3 cm)/ 3

               V = (64 cm2)(3 cm)/3

               V = 192 cm3/3

               V = 64 cubic cm

What are some strategies for focusing when studying at home?

Answers

Peaceful environment is must needed.
Be a good listener and learner .
If you really want to study then u can be a great student but if u dont like studying then dont involve youself in it cause study is not only the solution

The formula to find the final velocity , v , of an object having an initial velocity , u , and acceleration , a , at time t is v=u+at

A.Rearrange the formula to find the acceleration

B. Using the formula in part A describe the relationship between the acceleration and time for a given initial and final velocity

Answers

Step-by-step explanation:

The formula to find the final velocity, v of an object having an initial velocity , u , and acceleration , a , at time t is v=u+at

(a) v=u+at

Subtract u from both sides,

v-u=u+at-u

v-u=at

Dividing both sides by t.

[tex]a=\dfrac{v-u}{t}[/tex]

(b) The relationship between the acceleration and time for a given initial and final velocity is given by "

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Where

s is the distance covered

t is the time

Hence, this is the required solution.

Help plz???!?!?!?! Anything?

Answers

Answer:

radius of the bubble

1 inch

volume of the bubble=

[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ \frac{4}{3} \times 3.14 \times 1 \\ 4.186666666666 {in}^{3} [/tex]

4 inch ³

4inch 3


Hope this helps :))

Which of the following is a valid probability distribution?
A 2-column table labeled Probability Distribution A has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.42, 0.38, 0.13, 0.07.
A 2-column table labeled Probability Distribution B has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.27, 0.28, 0.26, 0.27.
A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17.
A 2-column table labeled Probability Distribution D has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.63, 0.12, 0.14, 0.13.

Answers

Answer:

C

Step-by-step explanation:

A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17 is a valid probability distribution. Option C is correct.

What is the definition of probability distribution?

A random variable's probability distribution is a collection of values and their probability pairs for that random variable's values. It might be a function, a table, or something else.

A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17 is a valid probability distribution.

The sum of all the probability obtained is less than 1. This show it is a valid probability distribution.

Hence, option C is correct.

Learn more about probability distributions here:

https://brainly.com/question/14882721

#SPJ2

The area of a rectangle is 70 square feet. The length is 10 feet. Find the width [W] of the rectangle

pls help


W = ___ ____

Answers

Answer:

35

Step-by-step explanation:

The answer might be 7 i don't know

Answer:

w = 7 feet

Step-by-step explanation:

The area of the rectangle, 70 ft², is equal to the length, 10 ft, times the width, w.

So, to find w, we can divide the area by the length.

w = 70 / 10

w = 7

The width is equal to 7 feet.

We can check this by multiplying the given length by the width that we've calculated to see if the area is equal to 70 feet².

10 · 7 = A

70 = A

Because the area we found is equal to the given area, our calculations are correct.

I hope this helps ^^

Good luck n.n

if anyone can answer this question please do, i put a picture down below

Answers

Answer:

0.125

Step-by-step explanation:

There are 8 possible given outcomes

1 of these is ABA

p = 1/8 = 0.125

Find the length of the rectangle.

The perimeter of the rectangle is thirty-four inches. The width of the rectangle is seven inches. The length of the rectangle is L.
A. 10 in.
B. 20 in.
C. 70 in.
D. 27 in.

Answers

Answer:

C

Step-by-step explanation:

The answer is C just cuz

a. 10 because the perimeter is 34, subtracting 14 (7 twice for the two sides) leaves you with ten. You divide that by two for the two sides, leaving you with ten

A spinner is equally divided into three equal sectors and marked 2, 3, and 5. Five number cards are labeled 1, 1, 2, 3, and 4. Mike spins the spinner and draws a card randomly.
a) Use a possibility diagram to find the probability that Mike gets a zero when he subtracts the number on the spinner from the number on the card.
b)
Use a possibility diagram to find the probability that the product of the two resulting numbers is odd.
c)
What is the probability that the product of the two resulting numbers is at least 12

Answers

Answer:

2/15 ; 6/15 ; 1/5

Step-by-step explanation:

Number on spinner = (2, 3, 5)

Number on card = (1, 1, 2, 3, 4)

____ 2 ___ 3 ____ 5

1__1, 2 __ 1, 3 ___1, 5

1__1, 2 __ 1, 3 ___1, 5

2_ 2,2___2,3 ___2,5

3_ 3,2 __ 3,3 ___3,5

4_ 4,2 __ 4,3 ___4,5

1.)

To get a difference of 0:

{(2,2) ; (3,3)} = 2

Total possible outcomes = sample space = 15

P(difference of 0) = 2 / 15

2.)

Product of 2 resulting numbers is odd:

{(1,3) ; (1,5) ; (1,3) ; (1,5) ; (3,3) ; (3,5)} = 6

Total possible outcomes = 15

P(product is odd) = 6 /15

3.)

Product is atleast 12 :

{(3,5) ; (4,3) ; (4,5)} = 3

Total possible outcomes = 15

P(product is atleast 12) = 3/15 = 1/5

consider the following exam scores from a class of 8 students


55,65,77,79,84,89.91,99


What is the rank of the student that scored a 77 on the exam?

Answers

Answer:

rank 6

Step-by-step explanation:

Need help asap please

Answers

Answer:

58

Step-by-step explanation:

How much of a circle does a 100-degree angle turn through? The answers for the question are 1, 100/180, 50/360, and 100/360. Which one is right?

Answers

Answer:

D

Step-by-step explanation:

The answer is D because  a circle has at least a 360 degree and a 180 is a half circle.

An experimenter conducted a study of the relation of size in a particular species of bird to behavioral displays of dominance. The results for the first four birds observed were as follows:

Bird Size: 14 18 14 10
Bird Behavior: 74 82 74 70

Required:
a. Change the variable names to Bird Size and Bird Behavior
b. Make a scatter plot.
c. Compute the correlation

Answers

Answer:

Scatterplot is attached below

Correlation Coefficient = 0.0973

Step-by-step explanation:

Bird Size: 14 18 14 10

Bird Behavior: 74 82 74 70

The Correlation Coefficient, R = 0.973 ; which gives a very strong positive correlation between variable, x bird size and y, Bird Behavior.

Please answer it. I will give brainliest if its correct..

Answers

Answer:

it is a 90 degrees angle

Step-by-step explanation:

because BHG and P is a right angle is that is a 90 degrees angle

Answer:

128 degrees.

Step-by-step explanation:

D and H are 90 degrees and you are already given the 38 degrees so therefore it is 128 degrees.

Plz help !!!!!!!!!!!

Answers

Given:

The function is:

[tex]f(x)=-4x^9[/tex]

To find:

The end behaviors of the given function.

Solution:

We have,

[tex]f(x)=-4x^9[/tex]

The leading coefficient is -4 which is a negative value and the degree of the leading coefficient is 9 which is an odd number. So,

[tex]f(x)\to \infty[/tex] as [tex]x\to -\infty[/tex].

[tex]f(x)\to -\infty[/tex] as [tex]x\to \infty[/tex].

Hence, as [tex]x\to -\infty[/tex], [tex]f(x)\to \infty[/tex] and as [tex]x\to \infty[/tex], [tex]f(x)\to -\infty[/tex].

. Add 91, 129, and 16, and then divide by 44

Answers

Answer: 5.36363636364

Step-by-step explanation:

91+ 129+ 16=236

236 ÷44= 5.36363636364

Answer: 59

Step-by-step explanation:

(91 + 129 + 16)/44

= 236/44

= 5.3636

I need the answer fast pls

Answers

Answer:

it's the middle one

Step-by-step explanation:

I passed middle school.

The price of a jacket is discounted 20%. The original price of the jacket was $60. What is the discounted price of
the jacket?

Answers

Answer:

48

Step-by-step explanation:

20% of 60 is 12. You subtract 12 from 60, to get the discounted price.

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