Solve the quadratic equations

y^2 −10y+21=0
y=?

16p^2 -8p=-1
p=?

x^2 -400=0
x=?

-16m^2 =8m+1
m=?

-3n^2 +75=0
n=?

Answers

Answer 1

Answer:

for quadratic equation 1

y^2-10y+21=0

Step-by-step explanation:

y^2-7y-3y+21=0

y(y-7)-3(y-7)=0

(y-7)(y-3)=0

y-7=0,y-3=0

y=7,y=3

y=(3,7)

for quadratic equation 2

16p^2-8p+1=0

16p^2-4p-4p+1=0

4p(4p-1)-1(4p-1)=0

(4p-1)twice=0

4p-1=0,4p-1=0

4p=1

p=1/4 twice

for quadratic equation 3

x^2-400=0

x^2=400

x=√400

x=20

for quadratic equation 4

-16m^2-8m-1=0

multiply the equation by -

16m^2+8m+1=0

16m^2+4m+4m+1=0

4m(4m+1)1(4m+1)=0

4m+1=0 twice

m=-1/4 twice

for quadratic equation 5

-3n^2+75=0

divide both side by -3

-3n^2/-3=-75/-3

n^2=25

n=√25

n=5


Related Questions

Can Someone Help Me. ? It’s Between A Or B

Answers

b option is the answer

I am sure

I think it is option b I’m not sure tho

(factoring polinonomials) help help help help help help please:(((​

Answers

I think it’s b sorry if I’m wrong

Expand 68*104.........​

Answers

Answer:

7072

Step-by-step explanation:

Are these triangles similar? If yes, write a similarity statement.

Answers

Yes because they both have the same degrees, but one is slightly rotated

Easy question look at the photo.

Answers

Answer:

SSS

Step-by-step explanation:

Answer:

Step-by-step explanation:

sss

Solve for x. Round all answers to the nearest tenth.
27
30

Answers

Answer:

x = 39.3

Step-by-step explanation:

30^2 = 27^2 + AB^2

30^2 - 27^2 = AB^2

AB = 13.1

30÷90 = 13.1÷X

30x = 1179

x = 1179÷30

x=39.3

Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.

Answers

Answer:  4 3/8 yards of wood

Step-by-step explanation:

It would be 5 times the ammount needed for one birdhouse so it would be-

7/8 x 5= 35/8 or 4 3/8

Answer 4 3/8 you need to multiply 7/8 by 5 (7/8 x 5)

A cereal box has a length of 8 inches, a width of 2 inches and a height of 12 inches. What is the volume of the cereal box?

A. 96 in³

B. 192 in³

C. 48 in³

D. 22 in³

Answers

Answer:

192 in cubed

Step-by-step explanation:

Multiply 12*2= 24*8

Answer:

192 should be yyour answer

Step-by-step explanation:

A sphere has a radius of 2 m. Calculate its surface area. Round to the nearest whole number
a
b.
50 sq.m
113 sq.m
C.
d.
212 sq.m
103 sq.m
Please select the best answer from the choices provided
A

Answers

Answer:

50 square meters should be your answer

Step-by-step explanation:

The formula of the Surface Area of a sphere is 4πr2 (4*r*squared)

if the radius of the sphere is 2 m, our formula will become 4π(2)[squared]

let us break this down into two pieces:

4π = 12.5663706144

2[squared] = 4

Then when we multiply our answers:

12.5663706144 * 4 = 50.2654824576

since it says to round it to the nearest whole number, we can round this to 50

I HOPE YOU HAVE A WONDERFUL DAY AND GET THIS CORRECT!!!

Please rate and heart if my answer helped you!!!!

1. What is 2/100 + 7/10?​

Answers

The answer is 18/25 or 0.72 in decimal form

Answer:

18/25

Step-by-step explanation:

2/100: left alone. You can reduce the answer later.

7/10: Multiply numerator and denominator by 10

7*10 = 70

10*10 = 100

Result: 70/100

Now add

2/100 + 70/100 = 72/100

Now reduce. Top and bottom can be divided by 4

72/4 = 18

100/4 = 25

Answer 18/25

What is x in this equation?

Answers

Answer:

x = 124

Step-by-step explanation:

x = 124 because of alternate exterior angles

X=124 because is the result when you add all the value of x and get answered

Does anyone know answer please?

Answers

Answer:

Step-by-step explanation:

The complete question in the attached figure

we know that

When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.

When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent

In this problem

---> by alternate interior angles

we have

therefore

A sports fan conducted a test to investigate whether male high school athletes are equally divided among football, soccer, swimming, tennis, and basketball. A sample of male high school athletes was selected and the resulting value of the chi-square test statistic was 10.65. Which if the following represents the p value

Answers

Answer:

[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]

Step-by-step explanation:

Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.

You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted? ​

Answers

hbngfthjhuiuttyui

Step-by-step explanation:

yiutujhyyiiyttthhuijc

Simplify math problems

Answers

Answer: basically simplifying is this

Step-by-step explanation:

2x+4x+8x+3y+2y+9y

we can simplify that to 14x+14y by adding like terms.

or

3(2x+4)

this can be simplified to 6x+12 by distributive property (multiply everything in the parenthesis by 3)

The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall distance measured. Assume the data are normally distributed. The data follow:
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
1) Is there evidence to show that there is a difference in the mean overall distance of brands? Use alpha = 0.05.
2) Calculate a 95% two-sided confidence interval on the difference in mean overall distance.

Answers

Answer:

1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.

2) The 95% CI  is [-18.587; 1.01242]

Step-by-step explanation:

The given data is

Brand 1     257      276     260   262   287   271    260  265   283     271

Brand 2     273     281      279    275   271    270   263   267   263    268

Difference d -16   -5       -19       -13     -16    - 01       -3     -2      20     3 ∑ -98

d²               256     25     361      169    256     1     9      4     400      9 ∑1490

1) Let the hypotheses be

H0: ud= 0 against the claim Ha: ud ≠0

2) The degrees of freedom = n-1= 10-1= 9

3) The significance level is 0.05

4) The test statistic is

t= d`/sd/√n

5) The critical region is ║t║≤ t (0.025,9) = ±2.262

Calculations

6) d`= ∑di/n= -98/10= -9.8

Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]

= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884

Sd= 12.825

Therefore

t= d`/ sd/√n

t= -9.8/ 12.825/√10

t= -0.764132/3.16227= -0.241640

7) Conclusion:

1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.

2) The confidence interval for the difference of two samples can be calculated by

d ` ± td sd/√n

Putting the values

-9.8 ±2.262* 12.825/√10

[-18.587; 1.01242]

Find the volume of the prism.
15 mm
B = 43 mm

Answers

Answer:

161 hope it helps

Step-by-step explanation:

God bless

Hi
Step-by-step explanation
V= area of pentagon x h
So, v=43 x 15 = 645mm^3

The DrJocker

what is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?

Answers

Answer:

240

Step-by-step explanation:

12 times 2 is 24

24 times 10 is 240

Have a nice day

Answer:

240 [tex]Inches^{3}[/tex]

Step-by-step explanation:

What is the answer to 1+1 ?​

Answers

Answer:

2

Step-by-step explanation:

1+1=2

Thank you for coming to my TED Talk

Answer:

22

Step-by-step explanation:

Help thank you!............​

Answers

Answer:

16

Step-by-step explanation:

6+6 = 12

2+2 = 4

12+4 = 16

8% of _ Days is 4 days

Answers

Answer:

50

Step-by-step explanation:

Which pair of ratios is proportional?

A. 3 ft : 8 sec and 5 ft : 11 sec

B. 6 yd : 10 mi and 18 yd : 30 mi

C. 3:25 and 5:50

D. 6 in. : 8 min and 3 min : 2 in.

Answers

The answer is = d due to the proportional

evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2​

Answers

Answer:

5. is the answer

Step-by-step explanation:

The radius of a cylindrical water tank is 4 ft, and its height is 10 ft. What is the volume of the tank?

Answers

Answer:

502 cubic feet

Step-by-step explanation:

The Volume of the tank is 502 cubic feet.

What is (14x^2– 27x+9) / (7x-3)?

A. 7x-3
B. 2x-3
C. -211x+9
D. 2x-33

Answers

Answer:

B. 2x - 3

Step-by-step explanation:

[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]

[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]

[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]

Answer:

[tex]\tt{}2x - 3[/tex]

Step-by-step explanation:

[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]

[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]

[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]

[tex]\tt{}2x - 3[/tex]

- Fritz worked a total of 22 hours
per week at two jobs. He worked
12 hours per week at one job.
Which equation can be used to
find h, the number of hours Fritz
worked per week at his other job?
A 22-h=12
B 12 +22=h
C 22 + h = 12
Dh - 22 = 12

Answers

The answer is A because you initially start of working 22 hours and H is the number of hours worked at the other job which means if you subtract the hours worked between two jobs and the ones you already worked it gives you 10 hours at the other job.Hope this helps!

how many square feet are in 88"x107"​

Answers

Answer: 792 i belive

Step-by-step explanation:

Answer: 88 inches x 107 inches = 65.39 ft²

−2x + 6y = 3 HOW MANY SOLUTIONS?
x − 3y = −3


The system has ....
solution(s).

Answers

Answer:

there are about 2-3 possible solution

Step-by-step explanation:

keep practicing , all will be well

What is the product of -8 and -7

Answers

Answer:56

Step-by-step explanation: -8x-7=56

Answer: -15

Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)


The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds

Answers

Answer:

After 4 seconds, the object will have fallen 512 feet.

Step-by-step explanation:

Given that the distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped, to determine, if an object falls 288 feet in 3

seconds, the distance the object falls in 4 seconds, the following calculation must be performed:

288/3 ^ 2 = X

288/9 = X

32 = X

X / 4 ^ 2 = 32

X / 16 = 32

X = 32 x 16

X = 512

Thus, after 4 seconds, the object will have fallen 512 feet.

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