y^2 - 19 = 0 find the sum and product

Answers

Answer 1

Answer: Sum of the roots:  √19 - √19 = 0

Product of roots:  (√19)(-√19) = -19

Step-by-step explanation:

y2 - 19 = 0

add 19 to both sides

y2 = 19

take square root of both sides

y = ±√19

So y = √19 or y = -√19


Related Questions

whats the slope of the line that passes through (3,-3) with the slope of 3?

Answers

Answer:

y=3x-12

Step-by-step explanation:

Assuming that you're asking what's the equation of the line that passes through (3, -3) with the slope of 3.

y-y1=m(x-x1)

y-(-3)=3(x-3)

y+3=3(x-3)

y=3x-9-3

y=3x-12

Question 3
If f(x) = -2 and g(x)= 3x2 +2x - 6, find (+g)(x).

A. 3x+3x+4
B. 3x2 +x-8
C. X2 +12
D. 3x2 + x - 3

Answers

Answer:

Step-by-step explanation:

For example, it is more usual to talk about polynomials of degree 6 than to ... Given the polynomials f (x)=3x3 +7x2−5x + 8, g(x) = −x5 + 6x4−2x3+ x−3 ...

6x - 4y = 16 find the slope and y intercept

Answers

Answer: slope: 3/2

y-intercept: (0,-4)

Step-by-step explanation:

y=3/2x-4 is slope intercept form

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

URGENT NEED HELP ASAP

Answers

Answer:

1/4

Step-by-step explanation:

We know two points on the line so we can use the slope formula

(0,6) and (8,8)

m = ( y2-y1)/(x2-x1)

   = (8-6)/(8-0)

   = 2/8

   = 1/4

Answer:

1/4

Step-by-step explanation:

slope=rise/run=1/4

Which problem will have the greater quotient, 376.0 divided by 93 OR 376 divided by 93.01?

Answers

Answer: The first option.

Explanation: 376/93 = 4 4/94, while 376/93.01 = 4.04257606709....., which is less than 4 4/94, therefore the first option has the greatest quotient.

Find 51% of the number 93.

Answers

Answer:

47.43

Step-by-step explanation:

To find 51% of the number 93, multiply the latter by 0.51:

0.51(93) = 47.43

Answer:

47.43

Step-by-step explanation:

51% of 93

[tex]\frac{51}{100}\times \frac{93}{1}[/tex]

[tex]=\frac{4743}{100\times \:1}[/tex]

[tex]=\frac{4743}{100}[/tex]

please help with my work​

Answers

Answer:

F

Step-by-step explanation:

Domain is all x values that the graph passes through. Therefore, it starts at x=0 and ends at x=230 with no breaks so the domain is anywhere between 0 and 230.

In the opposite figure : The perimeter of triangle ABC = ..... cm.

(a)123.5
(b) 375
(c) 98.5
(d) 108.5

Answers

Answer:

d 108.5

Step-by-step explanation:

assuming that the two angles with this dot * are equal...we can look for their sizes... by using SOHCAHTOA

SO I use tan

tan∅= opposite/adjacent

tan∅= 30/40 = 0.75.......then find the inverse you get 36.87......angles in a triangle adds up to 180.... * =26.57

use SOHCAHTOA again to get ungiven sides

then add ABC to get 108.54 cm as your answer.

I hope this is helping

FAM I NEED YOU HELP POR FAVOR OR MY TEACHER IS GANNA KILL ME:
You purchase two bottles of sunscreen and a hat. The hat cost $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?

Answers

Answer:

9.87

Step-by-step explanation:

6%= 0.06

0.06 +6.50 = 6.56

16.43 - 6.50 = 9.87

esterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?

Answers

Answer:6 six graders were late. 10% would be 12, and half of that is 6. You need to divide that in half because 5 is half of 10.

Answer:

6 sixth graders at school where late

Step-by-step explanation:

5% = 0.05

0.05(120) = 6

5x+1=3x+y=-15, what is x?

Answers

Answer:

x= -16/5

Step-by-step explanation:

5x+1=-15

solve

5x+1=-15

          -1

5x=16

      16/5

x= -16/5

Rsound answer to two decimal places

80.75757575757575757575​

Answers

Answer:

[tex]80. \bar{75}[/tex]

What is a ratio? Can you give a real world example of a ratio and the 3 different ways to write that ratio. pls i need alot of help my parents dont help me and i do online school WILL be marked as brainlyist

Answers

Answer:

2:3

2 to 3

or a fraction bar

Step-by-step explanation:

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

3 different ways you can write that ratio-

1)  4 to 3

2)  4:3

3)  4/3 (fraction)

Step-by-step explanation:

hope this helped:)

Rewrite using a single positive exponent.
(5-3)*

Answers

To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.

Step-by-step explanation:

Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below  if you have it)

But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:

[tex]\frac{1}{5^3}[/tex]

This is our final answer.

The reciprocal indices law states that:

[tex]x^{-n} = \frac{1}{x^n}[/tex]

Hope this helps!

please answer!!!!!!!!!​

Answers

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.

Step-by-step explanation:

It should be C. The graph is being stretched by a factor of 5.

I think this image demonstrates this concept the best.

Here’s a link to a site that has a better explanation: https://courses.lumenlearning.com/waymakercollegealgebra/chapter/compressions-and-stretches/

if p(x)=3x+1, what is the value of p(-2) ? *

Answers

Answer:

p(-1)= -5

p(2)= 19

Answer:

-5

Step-by-step explanation:

p(x)=3x+1

p(-2)=3(-2)+1

p(-2)=-6+1

p(-2)=-5

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

Name the solution
A.
(2, -3)
B.
(3, 2)
C.
(3, -1)
D.
(0, -2)

Answers

Answer:

C. (3, -1) is a solution

Step-by-step explanation:

It is inside in the double shaded area.

Select the algebra tiles that correctly model the problem.
three less than a number

Answers

Answer:

This is my answer, Credit to the person on top

Answer: its a

Step-by-step explanation:

Daniel runs at a pace of 8 miles in 60 minutes. What is his pace per mile?

Answers

Answer:

60/8 = 7.5 mins per mile

Step-by-step explanation:

WILL MARK SOMEONE BRAINLIEST!!!! The chart below shows the age of the volunteers for the local pet hospital. When combined which two age groups would be greater than the 27-39 age group?
A. 0-13 and 14-26
B. 0-13 and 53-65
C. 40-52 and 14-26
D. 53-65 and 14-26

Answers

Answer:

C

Step-by-step explanation:

60+80=140 which is definitely higher than 100-120

Answer:

C. 40-52 and 14-26

Step-by-step explanation:

The age groups that can be more than 120 in number as the 27-39 age group can only be 2 groups.

The 40-52 is an age group which has 80 in number and below it the 14-28 age group has 60 in age group.

60+80 is more than the 27-39 ager group by 20 in number. Therefore, the C. 40-52 and 14-26 age groups are the 2 groups that have more than the 27-39 age group.

HELP PLS!!
Adding and subtracting vectors in component form

Answers

Answers:u+v = <3,12> w+g = <7,0> g-z = <2,4> v-u = <9,4> y+v = <7,9> u+v+y = <4,13>

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

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

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

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

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

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

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

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

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

Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

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

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

2x-5y=9 y-3x=-7 solve by substitution

Answers

x

=

2

and

y

=

1

Explanation:

y

=

3

x

7

   and    

2

x

5

y

=

9

Substitute for

y

2

x

5

(

3

x

7

)

=

9

Simplify

2

x

15

x

+

35

=

9

Keep going and get

13

x

=

26

So

x

=

2

Now find

y

y

=

3

x

7

 

3

(

2

)

7

y

=

1

0.2343217 Is it rational or irrational

Answers

Irrational because it can not be written as a fraction

I got these questions wrong, please explain how to do this

Answers

Answer:

See attachment

Step-by-step explanation:

marlene is painting square tiles for a project.each tile has a perimeter of 16 in.what is the length of each side.

Answers

Answer:

64 i hope im right

Step-by-step explanation:

Answer: 4 in.

Step-by-step explanation:

A square has 4 equal sides for its perimeter.

Perimeter = 4x

16 = 4x

x = 4 in.

a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed

Answers

Answer:

10π

Step-by-step explanation:

First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.

So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ

Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region

Answers

Area of the shaded part of the overlapping region is 34 sq cm

To start with, we are told that the two shapes are squares. This means that they have the same length and breadth. From the diagram, we can see that one of the sides  of the squares is 17 cm. This means that the squares are a square of 17cm in length.

If the original length is 17, and the overlapped length of the figure we have is 30 cm. Then we can say that since there exist 2 squares, 30/2 = 15 cm. If the overlapped length is 15 cm, this means that the part that is shaded is 2 cm in length.

Applying area of a rectangle formula

length * breadth = 17 * 2 = 24 cm²

to learn more about area of  shaded regions, see here https://brainly.com/question/10090807

Select all the intervals where f is increasing.

A. −3 < x < −2
B. -1.5 < x < 0
C. 3.5 < x < 4.5
D. None of the above

Answers

Step-by-step explanation:

since f(x) is overall increasing for the interval -3 < x < 0,

A and B both fit in there and are correct answers.

Answer:

C. 3.5 < x < 4.5

Step-by-step explanation:

Anything that is above 1 (4, 9, etc)  is increasing and anything that is below 1 (0.4, -3, etc) is decreasing. A and B are wrong because they are negative or below 1 and it isn't D because C is increasing.

How do I solve this problem?

Answers

Here is the work! The zeros of the graph are at -1 and 3

23.2 x 0.14 can somebody help quick

Answers

Answer:

2.78

Step-by-step explanation:

you could have used a calculator

Answer:

23.2 times 0.14 is 3.248

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