Select the two values of x that are roots of this equation.
x2 - 5x+ 3 = 0
-
A. X
5+ 13
=
N
IB=
B. x = 5+y87
37
2
O
C.
5 - 13
X =
2
D. X =
5 - 37
N

Select The Two Values Of X That Are Roots Of This Equation.x2 - 5x+ 3 = 0-A. X5+ 13=NIB=B. X = 5+y87372OC.5

Answers

Answer 1

Answer:

A. and C.

Step-by-step explanation:

1. Plug in the values of a, b, and c into the quadratic formula:

[tex]x= \frac{-(-5)+-\sqrt{(-5)^{2}-4(1)(3) } }{2(1)}[/tex]

2. Solve the sqaure root:

[tex]x= \frac{-(-5)+-\sqrt{25-12} }{2(1)} \\\\x =\frac{-(-5)+-\sqrt{13} }{2(1)}[/tex]

3. Simplify the rest:

[tex]x=\frac{5+-\sqrt{13} }{2}[/tex]

4. Separate the solutions:

[tex]x= \frac{5+\sqrt{13} }{2} , x= \frac{5-\sqrt{13} }{2}[/tex]

A and C represent these solutions, therefore they are the anwsers.

hope this helps!


Related Questions

A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you recieve if you pay $30.00?

Answers

Answer:

$3

Step-by-step explanation:

8% of $25 is $2. $25 + $2 is $27. $30 - $27 is $3.

how do you find the area of a polygon in a coordinate plane?

Answers

Answer: Use this formula

Area = (number of sides × length of one side × apothem)

Step-by-step explanation: The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Classify the number as natural, whole, integer, rational, and/or irrational. select all terms that are correct. natural whole integer rational irrational 4,563 natural – 4,563 whole – 4,563 integer – 4,563 rational – 4,563 irrational – 4,563

Answers

The given number 4,563 is a natural, whole, integer, and rational number.

What are the different types of numbers?

A number is a fundamental component of mathematics. there are different types of numbers such as whole numbers, integers, natural numbers, rational and irrational numbers, etc.

Whole numbers are numbers such as 0, 1, 2, ... This is a whole number.

Natural numbers can also be counting numbers. They are the whole numbers but starting at 1, not 0.

Integers are whole numbers with negatives.  This is an integer.

Rational numbers are any numbers that can be written as a fraction.  

We can write this as 4563/1, so it is rational.

Learn more about numbers;

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Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.


What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place

Answers

We will see that the linear equation is:

y = 1.1*x  -13.5

b) The predicted height is 164.7cm

How to get the linear equation?

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, the line passes through (165, 168) and (174, 178), then the slope is:

a = (178 - 168)/(174 - 165) = 10/9 = 1.1

Then the line is:

y = 1.1*x + b

To get the value of b, we use one of the given points, for example if we use the first one (165, 168) we must have x = 165 and y = 168, replacing that we get:

168 = 1.1*165 + b

168 -  1.1*165  = b = -13.5

The equation is:

y = 1.1*x  -13.5

Now we want to find the height of a person with an arm span of 162cm, then we replace x by 162 to get:

y = 1.1*162 -13.5 = 164.7

The predicted height is 164.7cm

If you want to learn more about linear equations, you can read:

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How to find area in feet

Answers

Answer:

The way to calculate a rectangular area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft 2).

Step-by-step explanation:

might be the anwser ion know

Answer:

Area is length x width.

Step-by-step explanation:

Lets say you have a rectangle. The length is 7 feet and the width is 4 feet. 7 x 4 is 28. This is how you find the area.

please helppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

So here, ABCD is being inscribed in a circle, so ABCD is a cyclic quadrilateral (as inscribed in a circle) also, there exists a property of cyclic quadrilateral, i.e, the sum of opposite angles of a cyclic quadrilateral is 180°, so we can just write the following equation using this :

[tex]{:\implies \quad \sf y^{\circ}+83^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf y^{\circ}=180^{\circ}-83^{\circ}}[/tex]

[tex]{:\implies \quad \sf y^{\circ}=97^{\circ}}[/tex]

[tex]{:\implies \quad \boxed{\bf{y=97}}}[/tex]

HELPP!!! please for brianlest

Answers

Answer: Up, Down, Left, Right

Step-by-step explanation:

A translation is when you move an object on a coordinate plane. You can move it up and down the y-axis, and left and right on the x-axis.

For example, imagine a triangle on a coordinate plane (it looks like a grid). You can move the triangle to the left, the right, up, down, or any combination of those movements. Therefore, the answer to the 4 blanks are Up, Down, Left, and Right.

What is a solution of x2 + 6x=-5?

Answers

Here is what I found for your question:

Answer:

x=-5,-1

Step-by-step explanation:

Picture below need help a lot of points

Answers

Answer:

rp=20 :: pp=90

Step-by-step explanation:

Well, if it's 10% off then we know that the percent paid is 90%

Now, 18 is 90% of 20, so the regular price is $20

In 1970, there were 1,754 deaths from boating accidents in the United States. By 2003, the number of deaths from boating accidents had decreased to 703. What was the percent decrease?

Answers

Answer:

the percentage decrease is 60.2622577%

Step-by-step explanation:

1754-703/1754*100

1057/1754*100

105700/1754=60.2622577%

How many cubes are in the prism (Its surface area and i'm confused)

Answers

Answer:

432 cubes

Step-by-step explanation:

(9)(8)(6)=432

Hope this helps

Answer:

  432

Step-by-step explanation:

The front face of the prism (green) is 6 cubes high and 8 cubes wide. So, the front layer of cubes is 6×8 = 48 cubes.

The figure shows you there are 9 layers like this making up the whole prism.

Then the volume of the prism is ...

  (9 layers) × (48 cubes/layer) = 9×48 cubes = 432 cubes

There are 432 cubes currently in the prism.

_____

Additional comment

The picture here does not ask for the surface area of the prism. The area would be the sum of the areas of each of the surfaces.

The three surfaces we can see (red, green, blue) have areas of 9×8 = 72, 6×8 = 48, and 6×9 = 54 square units, respectively. These areas total 174 square units, but represent only half of the total area.

The other half of the area is the same (each hidden face has the same area as its visible opposite). So, the total surface area of this prism is 2×174 = 348 square units. (1 unit = small cube edge length).

Which sets of measurements could be the interior measures of a triangle?
(answer choices)
A. 10*, 10*, 160*
B. 15*, 75*,90*
C. 20*, 80*, 100*
D 35*, 35* 105*
E 60*, 60*, 60*

Answers

Answer:

A, B, E

Step-by-step explanation:

the 3 angles of a triangle must add up to 180

A. 10 + 10 + 160 = 180

B. 15 + 75 + 90 = 180

C. 20 + 80 + 100 = 200

D. 35 + 35 + 105 = 175

E. 60 + 60 + 60 = 180

What is the area of triangle XYZ to the nearest tenth of a square inch? Use special right triangles to help find
the height
Y
28 in
60
X
z

Answers

Answer:

Area = 169.7 in^2

Step-by-step explanation:

The two given angles are 90 and 60 degrees.  Since a triangle's angles always add to 180 degrees, the third angle is 30 degrees.  The is known as a "30-60-90 triangle."   It is a special right triangle that has side length values which are always in the same relationship with one another.

The sides of the  30-60-90 triangle ratio are:

Side opposite the 30° angle is x

Side opposite the 60° angle is x*√3

Side opposite the 90° angle is 2x

See attached image for the detail on the calculations.

What is the value of n2 {m+r} if m=3, n=2, and r=4

Answers

Answer:

Answer: 28.

Substitute: 22 * 3 + 4 Calculate the sum or difference:22 * 7 Calculate the power:4 * 7Calculate the p.

Step-by-step explanation:

please all i need is one more brainliest

help help help help help help help help help​

Answers

Answer:

1)you must miss the exam &u get start study

2)y=mx+b

3)

Use the Distributive Property to solve the equation.
3(x-6)+6=5x-4

what is x?

Answers

Answer:

x = -4

Step-by-step explanation:

1) Distribute

3(x - 6) + 6 = 5x - 4

3x - 18 + 6 = 5x - 4

2) Add the numbers

3x - 18 + 6 = 5x - 4

3x - 12 = 5x - 4

3) Add 12 to both sides

3x - 12 = 5x - 4

3x - 12 + 12 = 5x - 4 + 12

4) Simplify

Add The Numbers:

3x - 12 + 12 = 5x - 4 + 12

3x = 5x - 4 + 12

Add the numbers:

3x = 5x - 4 + 12

3x = 5x + 8

5) Subtract 5x from both sides

3x = 5x + 8

3x - 5x = 5x + 8 - 5x

6) Simplify

Combine like terms:

3x - 5x = 5x + 8 - 5x

-2x = 5x + 8 - 5x

Combine like terms:

-2x = 5x + 8 - 8

-2x = 8

7) Divide both sides by each factor

-2x = 8

-2x/-2 = 8/-2

8) Simplify

Cancel terms that are in both the numerator and denominator:

-2x/2 = 8/-2

Divide the numbers:
x = 8/-2

x = -4

Solution:

x = -4

Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)

Answers

Answer:

x = 3

So,

PQ= 5

RS=6

Step-by-step explanation:

Hope it helps you.....

Find the zeros of the function f(x) = x² + 49.​

Answers

Answer:

does not have

Step-by-step explanation:

the function will never equals zero. because x² is always a positive number. The minimum is 49.

Answer:

no step-by-step answer

x= 7 and x= -7

If a cat had 2345 dogs and a dog had 387241 cats and dived by 7 and into percent how many did they have al together?

Answers

Answer:

389586

Step-by-step explanation:

2345 +387241= 389586

The polynomial equation x cubed minus 4 x squared 2 x 10 = x squared minus 5 x minus 3 has complex roots 3 plus-or-minus 2 i. what is the other root? use a graphing calculator and a system of equations. –3 –1 3 10

Answers

The negative one is the third root of the equation x³ - 4x² + 2x + 10. Then the correct option is B.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomial equation is given below.

[tex]\rm x ^3-4 x ^2+2 x+ 10 = x ^2 -5 x-3[/tex]

The equation can be written as

[tex]\rm x ^3-5 x ^2+7 x+ 13 = 0[/tex]

The equation has a complex root [tex]- 3 \pm 2 \iota[/tex]

Put x = -1, then we have

[tex]\begin{aligned} (-1) ^3-5 (-1) ^2+7 (-1)+ 13 = 0\\\\-1 - 5 - 7 + 13 = 0\\\\0=0 \end{aligned}[/tex]

The equation is satisfied by the negative one. Then the negative one is the third root of the equation.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

B on edge

Step-by-step explanation:

because B is -1

What is the solution to 2x2 8x=x2-16? x=-4 x=-2 x=2 x=4

Answers

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation is given below.

2x² + 8x = x² - 16

Then on simplifying, we have

       x² + 8x + 16 = 0

x² + 4x + 4x + 16 = 0

      (x + 4)(x + 4) = 0

              (x + 4)² = 0

                        x = -4

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

Step-by-step explanation:

The actual length of a machine is 12.25cm. The measured length is 12.2cm. Round the amswer to part(b) to the nearest hundreth of a percent. Find the absolute error. Find the percent error.

Answers

Answer:

ABS Error: 0.05 cm

PERC Error: 0.40%

Step-by-step explanation:

Absolute error: Absolute difference between the actual dimension, and its measure. Measured in the same dimension as what we're measuring

(Remember the absolute)

ABS Err: | 12.25 cm - 12.2 cm | = 0.05cm

Percent error: Percentual difference between the actual dimension and its measure. Always measured in Percents

PERC Err: | (12.25 - 12.20) | / 12.25 = 0.0040 ≈ 0.40%

You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form.

Answers

Answer:

1/3 because there are 6 numbers on a number cube and the probability of rolling a 6 or 4 is 2/6 and simplified it would be 1/3

Step-by-step explanation:

if it is right, please mark as brainliest

i need help question below :)

Answers

Answer:

8 mins - 5hrs - 8 mins  (all of the answers are in order btw).



The angles in a triangle have

measures of 61°, (3z), (z-5)

What is the value of z?

Answers

Answer:

z = 31

Step-by-step explanation:

A triangle adds up to 180 degrees

Therefore this equation is formed: 61 + 3z + z -5 = 180

Simplify:

4z = 124

z = 31

(f-g)(x) f(x)=6x-7 g(x)=9x-4

mcgraw hill algebra 1 chapter 8 lesson 1 question 20

Answers

Step-by-step explanation with the answer:

Use the given functions to set up and simplify (f−g) & (x) . -3 x -3

9. A car is being tested for reliability on a
track by driving at a constant speed. The
car has traveled 150 miles in 3 hours.
a. Complete the table below.

b. If the car breaks down 4.5 hours into
the test and has to stop for a repair
before continuing, what ratio(s) of
distance to time would be affected?

c. How would you expect the ratio to
change? Explain your reasoning.

Help anyone???

Answers

Answer:

Step-by-step explanation:

See attached image.

Simplify the given polynomial expressions as much as possible.


(3x - 6)(8x + 2)

Answers

Answer:

Step-by-step explanation:

Remark

All you can really do is remove the brackets. Use FOIL

Solution

First: 3x*8x = 24^2

Outside: 2* 3x = 6x

Inside: -6*8x = - 48x

Last: -6*2 = - 12

Answer

24x^2 + 6x - 48x - 12

24x^2 - 42x - 12

Out of every 8 seeds Natalie planted, only 5 grew into flowers. If there are 45 flowers, how many seeds did not grow?
Please show the steps, thank you

Answers

Answer:

27

Step-by-step explanation:

here we remark that we have a proportional relationship Between the number of seeds and the number of flowers

Let x be the number of seeds we need in order to guarantee that 45 flowers grow.

8 seeds ————————-> 5 flowers

x seeds ————————-> 45 flowers

in order to find x ,We have to solve this equation :

[tex]\frac{x}{8}=\frac{45}{5}[/tex]

⇔ x/8 = 9

⇔ x = 8×9 = 72

“how many seeds did not grow” : 72 - 45 = 27

For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used

Answers

The triangle xyz has three sides and three angles

Neither law can be used to solve the triangle

How to determine the appropriate method?

From the question, we understand that only the angle measures are given.

The law of sines is represented as:

x/sin(X) = y/sin(Y) = z/sin(Z)

The law of cosine states that:

x^2 = y^2 + z^2 - 2yz cos(X)

The above laws require at least one of the side lengths of the triangles.

Since the side lengths are not given, then none of the laws can be used

Read more about laws of cosines and sines at:

https://brainly.com/question/4372174

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