Answer:
x = - 1 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
let y = 0
x² + 2x - 6 = 0 ( add 6 to both sides )
x² + 2x = 6
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 6 + 1
(x + 1)² = 7 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )
x = - 1 ± [tex]\sqrt{7}[/tex] , that is
x = - 1 + [tex]\sqrt{7}[/tex] , x = - 1 - [tex]\sqrt{7}[/tex]
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 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:
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
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
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.
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
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
Plz solve this question
Answer:
first one
Step-by-step explanation:
and is this a test?
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
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:
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
please help
What is a statistical question and what is its purpose? Be sure to include the 3 characteristics that make it up.
What does it mean for data to have variability as it refers to statistical questions? Give an example
Explain the difference between a dot plot and histogram. When would you use each graph?
Explain the difference between center and shape of a data set.
What are outliers and how do they affect a data set? What effect do outliers have on the measures of central tendencies? Which measure would be the best to use?
Answer: A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.
Variability (also called spread or dispersion) refers to how spread out a set of data is. Variability gives you a way to describe how much data sets vary and allows you to use statistics to compare your data to other sets of data.
A histogram is a chart that groups data into classes and displays the frequencies for those classes, while a dot plot illustrates each individual observation along a horizontal number line.
The center is the median and/or mean of the data. The spread is the range of the data. And, the shape describes the type of graph.
The average of set of data that is calculated by dividing the sum of the data by the number of items in the set. ... Measures of central tendency are mean, median and mode. Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
plz help its timed!! will give brainliest
x = 7
Hope this helps!-FinnyThe 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
PLEASE HELP ME ( MULTIPLE CHOICE) WILL GIVE BRAINLIST
Answer:
Factoring Trinomial.
Step-by-step explanation:
Pls help I need the maser quick
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!
Solve the equation for x.
Answer:
-110
Step-by-step explanation:
[tex]-\frac{x}{10} =11[/tex]
-x=11×10=110
x=-110
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
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:
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
I need help with these!
Given:
The figures of triangles and their mid segments.
To find:
The values of n.
Solution:
Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.
9.
It is given that:
Length of mid-segment = 54
Length of parallel side = 3n
By using mid-segment theorem for the given triangle, we get
[tex]54=\dfrac{1}{2}(3n)[/tex]
[tex]2\times 54=3n[/tex]
[tex]108=3n[/tex]
Divide both side by 3.
[tex]\dfrac{108}{3}=n[/tex]
[tex]36=n[/tex]
Hence, the value of n is equal to 36.
10.
It is given that:
Length of mid-segment = 4n+5
Length of parallel side = 74
By using mid-segment theorem for the given triangle, we get
[tex]4n+5=\dfrac{1}{2}(74)[/tex]
[tex]4n+5=37[/tex]
[tex]4n=37-5[/tex]
[tex]4n=32[/tex]
Divide both side by 4.
[tex]n=\dfrac{32}{4}[/tex]
[tex]n=8[/tex]
Hence, the value of n is equal to 8.
I need the answer pls
Answer:
s
Step-by-step explanation:
sdd
2√3+4√18 in simplest radical form
Answer:
[tex]2\sqrt{3} + 12\sqrt{2}[/tex]
Step-by-step explanation:
Simplify each term.
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
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:
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!