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
Answers
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
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 a solution of x2 + 6x=-5?
Answers
Answer:
x=-5,-1
Step-by-step explanation:
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%
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%
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
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]
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
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
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
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;
https://brainly.com/question/2731293
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:
https://brainly.com/question/1884491
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
i need help question below :)
Answers
Answer:
8 mins - 5hrs - 8 mins (all of the answers are in order btw).
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.
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
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.
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
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))}].
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.
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
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
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.....
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
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)
(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
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.
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:
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.