How many and what type of solution(s) does the equation have?8p^2=24p−10

Answers

Answer 1

Answer:

2 real solutions

Step-by-step explanation:

to understand thisyou need to know about:discriminantPEMDAStips and formulas[tex]D=b^{2}-4ac[/tex]D>0 (2 real solutions)D=0 (1 real solution)D<0 (2 imaginary solutions) or (no real solutions)let's solve:move left hand side expressions to right hand side and change its sign:8p²-24p+10=0divide both sides by 2 :4p²-12p+5=0

the quadratic equation standard form is

ax²+bx+c=0

therefore we get

a=4b=-12c=5

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

substitute the value of a,b and c into the discriminant: D=-12²-4.4.5simplify square:144-4.4.5simplify multiplication:144-80simplify substraction:64

since we got D>0

therefore

the quadratic equation has 2 real solutions


Related Questions

Laura's new bedroom is in the shape of a square and has an area of 144 ft2
What should Laura do to find the length of each side of her bedroom?

Answers

She should find the square root, of 144 sq ft, which is 12 ftHope that helps!

The length of each side of her bedroom is 12 feet.

Here,

Laura's new bedroom is in the shape of a square and has an area of 144 ft2.

We have to find the length of each side of her bedroom.

What is Area of square?

If the side of a square is 'x' then, Area of square is [tex]x^{2}[/tex].

Now,

Laura's new bedroom is in the shape of a square and has an area of 144 ft2.

Let length of each side is x.

Then,

[tex]x^{2} = 144\\\\x = \sqrt{144} \\\\x = 12[/tex]

Hence, The length of each side of her bedroom is 12 feet.

Learn more about the area of square visit:

https://brainly.com/question/24487155

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Which represents the value of c?

Answers

Answer:

Step-by-step explanation:

you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???  

some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.

Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this.   Ask about it if you don't get it.  :)

Sin(45) / c   = Sin(45) / 3  

now algebraically solve for c

3* Sin(45) / Sin(45)  = c

if you're thinking the answer is 3 you're right.

indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs.   so  you know that x = 3 right away from that, but, it's good to understand Law of Sines as well.  :)  

Find the area for the following figure.
O 124. 86 cm2
62.93 cm2
26.5 cm2
137.45 cm2

Answers

the answer is 62.93



Maria decides to increase her homework time of 8 hours per week by 15% Calculate her new homework time. Give your answer in hours and minutes

Answers

Answer:

Maria's homework time is now 9 hours 12 minutes.

Step-by-step explanation:

Since Maria decides to increase her homework time by 15%.

Then,

15% of 8 hours = [tex]\frac{15}{100}[/tex] x 8 hours

                        = 0.15 x 8 hours

                        = 1.2 hours

(Note that: 1.2 hours = 1 hour 12 minutes)

15% of 8 hours = 1 hour 12 minutes

her new homework time = 8 hours + 1 hour 12 minutes

                              = 9 hours 12 minutes

Maria's homework time is now 9 hours 12 minutes.

Please help! I will mark you brainiest!!!!

Answers

Answer: x = 3

isolate x by adding 4 to each side

2x = 6

Divide by 2 to get x

x = 3

14x2 –y2 +3x2 –y+2y2

Answers

Answer:

120

Step-by-step explanation:


NEED ANSWERS PLEASE!


Which statement is true?
A)
Company l's rate per pound is twice the rate per pound of
Company 2.
B)
Company 2's rate per pound is twice the rate per pound of
Company 1.
© Company. 1's fixed fee is twice the fixed fee of Company 2.
D Company 2's fixed fee is twice the fixed fee of Company 1.

Answers

i’m pretty sure it’s the second answer? but not for sure i’ve done this before though

1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint​

Answers

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

0.2) Sharad bought one quintal of onions for Rs 2000. Later he
sold them all at the rate of Rs 18 per kg. Did he make a profit
or incur a loss? How much was it?​

Answers

Answer: Loss, 200 Rs

Step-by-step explanation:

Given

Sharad bought  a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]

So, the cost price of onion is

[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]

He sells it at [tex]18\ \text{Rs. per kg}[/tex]

Here, the Selling price is less than the cost price

So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]

For a quintal it is

[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]

[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]

3)

13 and 31 both are prime numbers. In both numbers, 1 and 3 are common. Now,

make four pairs of such prime numbers from 1 to 100.​

Answers

13 and 31

17 and 71

37 and 73

79 and 97

hope my ans helps

be sure to follow me

stay safe ❣️

CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY


I WILL BRAINLIEST WHOEVER TELLS ME THE ANSWERS

Answers

Answer:

(The picture is not really clear but I hope this is right)

1. 50

2. 9

3. 16

4. 14

5. 60

Step-by-step explanation:

To find the area all you have to do is multiply the base x  width using the formula B x W = A where B is the base, W is the width and A is the area.

1. 5 x 10 = 50

2. 3 x 3 = 9

3. 4 x 4 = 16

4. (Is that a 1 or 7?) 2 x 7 = 14

5. (Assuming that is 6) 10 x 6 = 60

Hope this helps :)


A single die is rolled. Find the probability of getting an odd number or a number less
than 5.

Answers

Answer:

Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5

Step-by-step explanation:

x+2/3=6 what is x .................​

Answers

Answer:

x=16/3

x=5 1/3

x=5,3333333.....

Step-by-step explanation:

x+2/3= 6

x= 6-2/3

x=16/3

x= 5 1/3

x=5,33333333333......

I hope this will help you

X=16/3 I hope this help :)

The vertex form of the equation of a parabola is y = (x + 5)2 + 49.
What is the standard form of the equation?
O A. y= x2 + 10x + 74
B. y= x2 + 5x +49
O c. y = x2 + 49x + 35
d
O D. y= 5x2 + 10x+ 74
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

find the surface area of the rectangular prism ​

Answers

6 for the two bases = 12
6 x 2 = 12 for the 4 faces = 48
48+12 = 60 cm^2

Divide 14 4/10 by 5 9/16

Answers

1152/445 or u can put 2 262/445

Alonzo, Alice and Juan again all got different answers when they solve another problem. This time, they were solving:
( − 48 ) ÷ ( − 6 )

Alonzo believes the answer is 8.

Alice believes the answer is -8.

Juan believes the answer is -1/8
Do you agree with any of their answers?

Answers

Alonzo is correct

When dividing two negative numbers together they become positive so it’s basically 48 divided by 6

How do you solve an inequality when there is a negative number such as -8x is greater than 72

Answers

Answer:

When you divide both sides of an inequality, you need to flip the inequality sign.

Step-by-step example:

-8x > 72

Divide both sides by -8

x < -9

Garrett has a current checking account balance of $695. Over the next three days, he receives a direct deposit of $475.75 from his job, pays an annual online banking fee of $24, and makes purchases of $34.21 and $8.92. He then withdraws $60 from an ATM that charges a $3.50 usage fee.
What is Garrett's account balance at the end of the day period? Write your answer in numeric form, such as $1369.05. ​

Answers

Answer:

1040.12

Step-by-step explanation:

695.00

+475.75

=1,170.75

Subtract

24.00

34.21

8.92

60.00

3.50

= 130.63

695.00+475.75=1,170.75-130.63=1040.12

9.
A. 7
B. 15
C. 12
D

Answers

Answer: d=20?

Step-by-step explanation:

Help with this due today

Answers

Here is the answers

What is 28% of 307
Enter your answer as a decimal in the box

Answers

Answer:

the answer is 85.96

Step-by-step explanation:

Hope this helps, =)

61°
Х
X =
degrees.
please help me

Answers

Step-by-step explanation:

61 + 90 = 151 degree

180 - 151 = 29 degree

180 - 29 = 151 degree is x value

Find the value of x.

Answers

Answer:

107

Step-by-step explanation:

x=180-73

x=107

hope it helps

What is the hypotenuse of a triangle with legs that are both 4 inches?

Answers

By applying Pythagorean's theorem, the hypotenuse of this triangle is equal to: D. √32 inches..

Given the following data:

Adjacent side = 4 inches

Opposite side = 4 inches.

How to calculate the hypotenuse of a triangle?

In order to calculate the hypotenuse of this triangle, we would apply Pythagorean theorem.

Mathematically, Pythagorean's theorem is given by this formula:

c² = a² + b²

Where:

c is the hypotenuse.a is the adjacent side.b is the opposite side.

Substituting the given parameters into the formula, we have;

c² = 4² + 4²

c² = 16 + 16

c² = 32

c = √32 inches.

Read more on Pythagorean theorem here: https://brainly.com/question/16176867

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which slope represents a like that passes through (4, 1/3) and has a slope of 3/4

Answers

Answer:

Answer is in her photo

Step-by-step explanation:

i dont remember need the points though

WILL GIVE BRAINLIEST!!

please help meee the question is in the picture

Answers

Answer:

The answer is 6cm

Step-by-step explanation:

Fernando can run 600 meters
in 5 minutes. At this rate,
how many minutes would it
take him to run 1,500
meters?

Answers

Answer:

12.5 minutes

Step-by-step explanation:

Given that,

Fernando can run 600 meters  in 5 minutes.

We need to find how many minutes would it take him to run 1500 meters.

ATQ,

600 m = 5 min

1 m = (5/600) min

For 1500 m,

[tex]t=\dfrac{5}{600}\times 1500\\\\t=12.5\ min[/tex]

So, it will take 12.5 minutes to run 1500 m.

(4, -3) reflected over the x-axis

Answers

Answer:

(4, -3) reflected over the X axis is (4,3)

Step-by-step explanation:

find m<A to the nearest tenth degree​

Answers

I think it’s a hope this helps
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