Answer:
x = 3±√5
Step-by-step explanation:
Given the quadratic equation;
0 = x² – 6x + 4
Swap sides
x² – 6x + 4= 0
Subtract 4 from both sides
x² – 6x + 4 - 4= 0 - 4
x² – 6x = -4
Complete the square;
Add the square of half of coefficient of x to both sides
Coefficient of x = -6
Half of Coefficient of x = -6/2 = -3
square of the half of Coefficient of x = (-3)²
Add (-3)² to both sides
x² – 6x + (-3)² = -4 + (-3)²
(x-3)² = -4 + 9
(x-3)² = 5
Take the square root of both sides
x - 3 = ±√5
x = 3±√5
This gives the solution to the equation
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:40%
Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40
Answer:
Well the equation for this would 50*.20 = ...
The first half of the answer would be 10.
BUT!
You need to subtract 10 from 50.
50-10 = 40!
There you go.
Step-by-step explanation:
help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
75.96
Step-by-step explanation:
Add my Discord so we can be besties: BeepBoop #0214 12-14 only please!!
Answer: okay sir
Step-by-step explanation:
Help pleaseeee
3.3 - 5.7n – 3n +8= ??
Answer:
11.3 - 8.7n
Step-by-step explanation:
Its almost basically combining like terms
You subtract - 5.7n - 3n to get -8.7n, then you add 3.3 + 8 to get 11.3 and you finally put it an equation 11.3 - 8.7n
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answer: 1696.46
Step-by-step explanation:
6 x 6 x 3.14 = 113.1
24 x 24 x 3.14 = 1809.56
113.1 - 1809.56
thus we have 1696.46
sorry had to edit some things instead of one 6 its 6 x 6 and same with 24
Jillian and Sammi sell 3 pillows for $3.20 each. Then they share the money equally. How much money does each girl get?
Answer:
$4.8
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Price of each pillow = $3.20
Total number of pillows = 3
So, total amount after selling = Price of each pillow × Total number of pillows
= $3.20 × 3
= $9.60
Total number of girls = 2
So, Money each girl gets = total amount after selling ÷ Total number of girls
= $9.60 ÷ 2
= $4.8
Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?
There are 4 paperback and 10 hardback books on a reading list. Your teacher randomly assigns you 3 books to take home. What is the probability that you are assigned all hardback books? All answers should be given as a fraction in simplest form!
Any help would be appreciated! Thanks!!!
Answer:
14/3 as an improper fraction
Step-by-step explanation:
Step-by-step explanation:
3/2
A sampling method where you determine randomly where you want to start selecting in the sampling frame and then follow a rule to select every xth element in the sampling frame list is called a ____ method.
Answer:
Systematic
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Every xth element, so systematic.
Round your answer to the nearest hundredth.
с
B
40°
?
7
А
Answer:
take 40 degree as reference angle
using sine rule
let opposite be x
sine 40=opposite/hypotenuse
0.64=x/7
0.64*7=x
4.48=x
Step-by-step explanation:
Find the common ratio of the geometric sequence 9,-18,36
Answer:
r = - 2
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = [tex]\frac{a_{1} }{a_{1} }[/tex] = [tex]\frac{-18}{9}[/tex] = - 2
Answer:
y ar u gay
Step-by-step explanation:
Which expression represents a rational number?
Answer:
C
Step-by-step explanation:
2/7+sqrt121 is just 2/7+11.
This is rational.
Answer:
2/7 + sqrt 121
Step-by-step explanation:
the square root of 121 is a whole number - 11, which is rational and makes the equation rational
Plz help me:)!!!✌︎('ω')✌︎
Which property allows you to write the expression
[(3 +71) + (8 - 61)] + (1+91) as (3 +71) + [(8-61) + (1 +91)]?
DONE
Answer:
the associative property
Step-by-step explanation:
the associative property allows the numbers to add regardless of how you group the numbers
What are the zeros of the quadratic function f(x) = 2x2 – 10x - 3?
O x=-
5
2.
731
+
2
♡
37
and x=-
8
+
37
8.
2
31 and x =
O x=-
O x= { I and x= + 1
o x=- and x = {+7
Answer:
B is the answer....I did this math problem
The zeroes of the quadratic function given are 5/2 + √31 / 2 and 5/2 - √31 / 2.
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given quadratic function is
f(x) = 2x² - 10x - 3
We can find the roots of the quadratic function using the quadratic formula.
Quadratic formula for the quadratic function f(x) = ax² + b x + c is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a
Here, a = 2, b = -10 and c = -3
Substituting the values,
x = [-(-10) ± [tex]\sqrt{(-10)^2-(4*2*-3)}[/tex]] / (2 × 2)
= (10 ± √(100 + 24) ) / 4
= (10 ± √124) / 4
= (10 ± √(31 × 4)) / 4
= (10 ± √31 √4) / 4
= (10 ± 2√31) / 4
= 10/4 ± 2√31 / 4
= 5/2 ± √31 / 2
Hence the roots are 5/2 + √31 / 2 and 5/2 - √31 / 2.
Learn more about Roots of Quadratic Functions here :
https://brainly.com/question/9155953
#SPJ7
does anyone know this?
Answer:
Hello! answer: a = 24
Step-by-step explanation:
30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!
I need the answer pls
Answer:
s
Step-by-step explanation:
sdd
solve the following :
7+2x/3= 5
and
3x+4/2= 9.5
Answer:
x= 4
x= 5
Step-by-step explanation:
7 + 2(4)/ 3 = 5
7 + 2(4)/3 = 5
7+8/3 = 5
15/3 = 5
3(5) +4/ 2 = 9.5
15+4/2 = 9.5
19/2 = 9.5
1. What is 65% of 80?
2. 34 is what percent of 40?
Answer:
1. 52
2. 13.6
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
1. What is 65% of 80
Let's set up an equation.
When we see %, we can put that number over 100.
65% = 65/100 = 0.65
"of" means to multiply.
So, 65% of 80 is
0.65 • 80 = x
Multiply.
x = 52
52
2. 34 is what percent of 40?
"is" symbolizes the equals sign (=)
"of" means to multiply.
"what percent" is our unknown.
34 is what percent of 40
34 = x/100 • 40
Divide both sides by 40.
0.85 = x/100
Multiply both sides by 100.
85 = x
85%
Hope this helps!
Donte bought a computer that was 15% off the regular price of $780. If 7.5% sales tax was added to the sale price of the computer, what was the total price Donte paid for it?
$712.72
780×0.15
117
780−117
663
663×0.075
49.725
49.725+663
712.72
What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?
Answer:
Surface area of a box = 293 inches ²
Step-by-step explanation:
Surface area of a box = 2(lw + lh + hw)
Where,
l = length = 7 inches
w =width = 4 1/2 inches
h = height = 10 inches
Surface area of a box = 2(lw + lh + hw)
= 2(7*4.5 + 7*10 + 10*4.5)
= 2(31.5 + 70 + 45)
= 2(146.5)
= 293 inches ²
Surface area of a box = 293 inches ²
Solve the equation for x.
Answer:
-110
Step-by-step explanation:
[tex]-\frac{x}{10} =11[/tex]
-x=11×10=110
x=-110
Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).
Answer:
Function 1 has a greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of 3 because 3x is the slope of the line.
Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.
Function 3 has a rate of change of 2. You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.
Light travels at approximately 186,000 miles per second. How is 186,000 written in scientific notation?
Answer:1.86*10^5
Step-by-step explanation:
Scientific notation is simple. First you place a decimal after the first numerical digit. Then for every digit after the decimal you would multiply by 10 to get back to the standard form. Instead of constantly multiplying by 10 you will raise the exponent.
Solve - 3/5 divided by 9/10. Put your answer in simplest form.
Answer:
2/3
Step-by-step explanation:
Heres how I got 2/3
So first what we need to do is we need to figure out what 3/5 divided by 9/10 is.
So what we are going to do is we are going to do a method that my teachers toaught to me called Pemdas.
So we are going to line up 3/5 and 9/10 right next to eachother.
Then we are going to miltiply the top number of the first fraction by the bottom number of the first fraction and that will be our numerator or in other words first number in our next fraction. So that would end up being 30 because 3x10=30. So our next fraction would start with 30 so it would be 30/x because we dont have a denominator yet or in other words bottom number for our fraction.
So now what we need to do is multiply the bottom number of our first fraction by the top number of our second fraction and that will be 45 because 5 times 9 is 45. So our ansewer WOULD be 30/45 but they asked for it in the simplest form so we need to do that.
So what we need to do is start dividing the fraction 30/45 to make it the smalest fraction we can but keep in mind if you cant make this into another fraction than 30/45 is your ansewer because it is you simplest form. So what we are going to do is take 30/45 and start seeing if we can divide both of these numbers by a smaller number. So I know that 30 can be divided by 5 and so can 45 so after I divide 30 and 45 by 5 it would give me 6/9 as a fraction but wait you can divide 6/9 by 3 and if we divide 6 by 3 it would give us 2 and if we divide 9 by 3 it would give us 3 so our ansewer would end up being 2/3 and 2/3 cant be divided by anything so that IS YOUR ANSEWER 2/3. Have a wonderful day everyone!
Monika is in charge of ordering pens for an upcoming convention. Pens
come in boxes of 6 and boxes of 8 and Monika needs at least 720 pens.
Which inequality describes this situation?
x = number of boxes of 6 pens
y = number of boxes of 8 pens
The inequality describing this situation is: 6x + 8y ≥ 720
Recall:
A situation can be described using Inequality.Inequality equation involves variables and inequality signs.Given:
number of boxes containing 6 pens = xnumber of boxes containing 8 pens = yGiven that Monika needs at least 720 pens, it means that total number of pens in boxes containing 6 and 8 pens respectively must be equal to or greater than 720.
Therefore, the inequality describing this situation is: 6x + 8y ≥ 720
Learn more about inequality on:
https://brainly.com/question/3013943
HELP PLZ I’m struggling with this
Answer:
270 per year so 6 years is 1620 and add that with 6000=7620
Pls help I need the maser quick
The theater sells two types of tickets: adult tickets for $17 and child tickets for $14.
Last night, the theater sold a total of 238 tickets for a total of $3554. How many adult tickets did the theater sell last night?
Answer:
74 adult tickets
Step-by-step explanation:
Create a system of equations where a is the number of adult tickets and c is the number of child tickets:
a + c = 238
17a + 14c = 3554
Solve by elimination by multiplying the top equation by -14:
-14a - 14c = -3332
17a + 14c = 3554
Add these together, and solve for a:
3a = 222
a = 74
So, 74 adult tickets were sold last night
The volume of the cone is 1621 yd3. What
is the radius of the cone? height=6
Answer:
If height is in meters: 14044.4876 is the radius
If height is in kilometer: 444.1257 is the radius
Step-by-step explanation: