Answers
9514 1404 393
Answer:
x = -0.25+√2.4375i or -0.25-√2.4375i
Step-by-step explanation:
The quadratic formula works for this. The quadratic equation ...
ax² +bx +c = 0
has solutions given by the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Your equation ...
2x² +x +5 = 0
has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...
[tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]
The decimal equivalents are ...
x = -0.25+√2.4375i or -0.25-√2.4375i . . . . . . the 'i' is outside the radical
Related Questions
If product of two numbers=384HCF=8,2cm=?
Answers
Answer:
96 and 288
Step-by-step explanation:
So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).
Such order independent pairs are (1,7) and (3,5).
Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.
The differences are 6*48=288 and 2*48=96.
We have found difference without finding numbers.
Ans.: 96 and 288
p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)
Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.
Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.
PLEASE ANSWER I HAVE 10 MINUTES!!!
Answers
Answer:
1,3,4
Step-by-step explanation: hope this helps you
HELP PLEASEEEEEEEEEEE
Answers
Answer:
I not see the number 2
I think that is number 2
Answer:
first and last one should be the answer (not sure about the first, cant see it too good)
The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).
Answers
Answer:
this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong
Step-by-step explanation:
I mark as brainliest
Answers
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
:)
The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP
Answers
Answer:
L = 20
W = 10
Step-by-step explanation:
L = (w + 10)
NL = (w + 13)
Divide 299 by 13:
299 ÷ 13 = 23
So, 23 x 13 = 299
L = 23
W = 13
Subtract 3 from both to get the original length and width
What is the equation for calculating portion size?
Answers
Answer:
How to Easily Calculate the Serving Size in Recipes
Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...
Divide the Recipe into Servings. ...
Calculate Calories. ...
Save the Information.
Step-by-step explanation:
Can someone plz plz help me with the last 2 problems #5 and #6
Answers
i believe your answers would be
1/2c+7 and 2H-9
Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?
Answers
Answer:
x = amount of 100% acid solution (pure acid, no water)
y = amount of 10% acid solution (acid + water)
both amounts are in liters
Step-by-step explanation:
* Pending
This map shows the organization that was
association of nearly 30 countrior
Answers
convert 0.00633 to a scientific notation
Answers
Answer:
6.33 × 10⁻³
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.
Answer:
6.33 × 10[tex]^{-3}[/tex]
Step-by-step explanation:
** The negative three is supposed to be an exponent **
f(x) = -x^2+10x-6
Find f(-5)
Answers
9514 1404 393
Answer:
f(-5) = -81
Step-by-step explanation:
Put -5 where x is and do the arithmetic.
f(-5) = -(-5)^2 +10(-5) -6
f(-5) = -25 -50 -6
f(-5) = -81
Answer:
-81
Step-by-step explanation:
Kyle invested $ 500 and received $ 650 after three years. What had been the interest rate?
Answers
216 2/3 : 1
1= one year
Since Kyle invested $500 and received $650 after three years, the value of Kyles's interest rate is 43.3%.
Given the following data:
Principal = $500Simple interest = $650Time = 3 yearsTo calculate the value of Kyles's interest rate:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making R the subject of formula, we have:
[tex]R = \frac{100S.I}{PT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]R = \frac{100 \times 650}{500 \times 3}\\\\R = \frac{65000}{1500}[/tex]
Interest rate, R = 43.3%
Read more: https://brainly.com/question/22621039?referrer=searchResults
Using the following conversions between the metric and U.S. systems, convert the measurement. Round your answer to the nearest tenth as needed
There are 8 fluid ounces in a cup, 2 cups in a pint, 2 pints in a quart,
and 4 quarts in a gallon.
1L ~ 0.26 gallons
9 fl oz _____ mL
Answers
Answer:
266.162 ml
Step-by-step explanation:
Which is the best description for the graph?
Answers
Answer:
decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward
The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War
Answers
Answer:
its c
Step-by-step explanation:
trust and dont vote me out! its not me i sware its cyan he sus!
Answer:
It's C
Step-by-step explanation:
Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p
Answers
Complete Question
Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.
Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.
Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p
Answer:
The statements that are true regarding Valerie's situation:
A: p + 0.5b + 2d < 10
C: d < 2b
D: b > 3p
Step-by-step explanation:
Lets represent
The number of protein bars as p.
The number of bananas as b.
The number of sports drinks that Valerie buys as d.
From the question:
We are told
Protein bars are $1
Bananas are $0.50
Sports drinks are $2.
She will spend no more than twice as much on sports drinks as bananas
d ≤ 2b = d < 2b
At least three times as much on bananas as protein bars.
b ≥ 3p = b > 3p
We are also told that:
Valerie has $10 to spend.
Hence:
$1 × p + $0.50 × b + $2 × d < $10
= p + 0.5b + 2d < 10
Therefore, the statements that are true regarding Valerie's situation:
A: p + 0.5b + 2d < 10
C: d < 2b
D: b > 3p
A stack of books is 62 inches high. How high is it in feet and inches?
Answers
Answer:
5 feet and .16667 inches
Step-by-step explanation:
if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2
Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment
Answers
Answer:
Step-by-step explanation:
From the information given;
We are to take a look at a 2⁵ factorial design.
The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.
An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.
Thus, there are five factors and 2 levels in the experiment.
A one dimensional object with no endpoint is a?
A.ray
B.line segment
C.line
D.point
Answers
Answer:
its line fjfjfjjejjdjdj
As per the given condition, the required one dimensional object with no end point is a line.
What is a ray?"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.
On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "
What is a line segment?"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."
What is a line?"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "
What is a point?"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."
Given, a one dimensional object with no endpoint.
Therefore, the require object is a line.
Learn more about a line here: https://brainly.com/question/27560536
#SPJ2
Find the Unit Rate.
216 diving students to 12 instructors
Answers
Answer: 216 diving students to 12 instructors = 18 students per instructor.
Step-by-step explanation:
What does ± mean in math?
I WILL MAKE YOU A BRAINLIEST AND YOU WILL RECEIVE 50 POINTS!!!
Answers
Is anyone willing to answer this question I can’t do it
Answers
Answer:
Not 100% sure on this make sure you double check
Step-by-step explanation:
X- 10
Y- 10
Slope- (-1)
like I said this could be wrong
identify the first term of the algebraic expression. Indicate whether the term is a variable or a constant term.
5y + 8b
Answers
Answer:
Someone text me on sc queenalyssa_05
Step-by-step explanation:
Answer:5
Step-by-step explanation:
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
Answers
-71 - 2y = 56
We add the 71 on both sides.
-2y = 126
Divide by -2 on both sides.
y = -63
There is no distinguishable slope in this because y equals an integer, not an expression that includes x or m, so the slope is zero.
Hope this helps! (:
Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.
Answers
Answer:
50.1
The area of the composite figure is 50.1
Trust me
What is this expression equivalent to? Will Give Brainliest! Image is below.
Answers
Answer:
the correct answer is 4
Find the value of x and measure of ∠3
∠3=2x+7
∠6=6x+21
Answers
Answer:
the answer is four
Step-by-step explanation:
The supermarket has 30 aisles. 60% are empty, without any shoppers. How many empty aisles are there in the supermarket?
Answers
Answer:
18
Step-by-step explanation:
to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.
hope this helped :))
3252614683754629158741032465x93756356872264881+432757232878247-3243566=
Answers
Answer:
bout 7
Step-by-step explanation:
Answer:3.049533e+44 to be exact
Step-by-step explanation: