Answer:
what picture?
Step-by-step explanation:
How do you factor 9-6x+x^2
Answer:
Step-by-step explanation:
rewrite 9-6x+[tex]x^{2}[/tex] as [tex]x^{2}[/tex]-6x+9. (this step isn't necessary, but it's easier when the bigger term is in front)
There's two ways: using the quadratic formula, or just doing it in your head (for simple ones)
For the simple way:
think about what numbers not only multiply to equal c (represented by 9 in this case) but also add to equal -6 (represents b in this problem). There are two numbers for this problem that work: -3 and -3. So you would write the factored form as (x-3)(x-3)
Quadratic formula:
The formula is [tex]\frac{-b}{2a}[/tex] ±[tex]\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
This formula works for equations in the form of a[tex]x^{2}[/tex]+bx+c.
Substitute in the values to get:
[tex]\frac{6}{2} +\frac{\sqrt{-6^{2} -4(1)(9)} }{2}[/tex]
simplify:
3±[tex]\frac{\sqrt{36-36} }{2}[/tex]
3±[tex]\frac{0}{2}[/tex]
the answer is 3, which is the x-intercept. Write that as (x-3)(x-3)
Which of these situations is not a situation of proportionality? Immersive reader A person's age and height The cost of filling up with gasoline and the number of liters purchased The number of working days and the salary The number of movie tickets purchased and the total bill
Answer:
A person's age and height
Step-by-step explanation:
Required
Select which do not represent proportionality
Proportionality exists when a unit rate can be calculated.
For instance:
- If 2 litres of gas is $2, then the unit rate is $1 per litre
- If an employee is paid $100 for 5 days, then the unit rate is $20 daily
- If 5 movie tickets cost $50, then the unit rate is $10 per movie
The above scenario are used to describe options (2 - 4) because they can be expressed in unit rates.
However, this is not the same for age and height because age is not a function of height and height is not a function of age. In other words, they can not be expressed in proportions.
So, option (a) is not a situation of proportionality.
The perimeter of the triangle below is 97 cm.
What is the length of EF?
A. 18 cm
B. 23 cm
C. 30 cm
D. 32 cm
Answer:
The length of EF = x = 18 cm
Option A is correct.
Step-by-step explanation:
Ware given perimeter of triangle = 97 cm
We need to find length of EF = x = ?
The length of EG = x+7
The length of EF = x
The length of GF = 3x
The formula used is: [tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle[/tex]
Putting values and finding x i.e length of EF
[tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm[/tex]
So, value of x=18 cm
The length of EF = x = 18 cm
Option A is correct.
Construct a triangle ABC, right angled at B and the sides BC = 4cm and AC = 5cm. Measure side AB.
Answer:
3
Step-by-step explanation:
The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results
Answer:
Interpreting the results:
a) At least 99.3% of the data lies between 12 standard deviations of the mean
b) The data lies between points 0 and 168
Step-by-step explanation:
The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results
Chebychev's theorem states that:
At least 1 - 1/k² data lies between k standard deviation of the mean
μ ± kσ
Where k is a positive number greater than 1
From the question above
μ = Mean = 84 points
σ = Standard deviation = 5 points
Hence: k = 12
We have:
1 - 1/12²
= 1 - 1/144
= 144 - 1/144
= 143/144
= 0.9930555556
Approximately = 99.3%
Interpreting these results means that At least 99.3% of the data lies between 12 standard deviations of the mean
Hence,
μ - kσ
84 - 12 × 7
= 84 - 84
= 0
μ + kσ
84 + 12 × 7
= 84 + 84
= 168
Hence, the data lies between points 0 and 168
Please answer !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 111 degrees
Step-by-step explanation:
the angle next to 164 degrees :
any line = 180 degrees, so 180 - 164 = 16 degrees
now you have two out of three angles in the triangle. All three angles of every triangle must add together to equal 180, so
180 = 53 + 16 + x
or
x= 180 - 53 - 16
x=111 degrees
family built a house that has lenght and widht in 5:4, how long and wide is the house if it's 160m2 big?
Answer:
length = 14.14 m and width=width 11.32 m
Step-by-step explanation:
length be L and width be w
L:w = 5:4
L/w = 5/4
Let L =5k and w=4k
since A= lengthxwidth
A=5k x 4k
so, 160 = 20 k2
k 2 = 8
k = 2.828
since L = 5k in above, L= 5x2.828= 14.14
and since w=4k in above, w=4x2.828 = 11.32
This is my Guess. ..
Answer:
I hope it will help u
Step-by-step explanation:
As given that
L:W=5:4
L/W=5/4
L=(5/4)Whence we also know that
Area of rectangle= L*WAs given A=160m2
putt the value of A and L=(5/4)W in above equation ,
hence 160 = (5/4)W * W
W^2 = 160*4/5
W^2 = 32*4
W^2=128
taking square root
W= +_ 11.3
but length can't be negative so we take positive value of W
W=11.3 mNow for L putt in above equation,L=5/4 * 11.3 = 14.12 mA rectangle is 15 feet long and 9 feet wide. Find its area.
Step-by-step explanation:
Since area = length(width) = l(w)
We need to multiply 15 and 9.
15(9) = 135
Therefore, the area of the rectangle is 135 ft
Area of the rectangle is 135 feet square
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
Given,
Length of the rectangle = 15 feet
Width of the rectangle = 9 feet
Area of the rectangle = Length × Width
=15×9
=135 feet square
Hence, the area of the Rectangle is 135 feet square
Learn more about Rectangle and Area here
https://brainly.com/question/20693059
#SPJ2
I don't know how to solve this.
Answer:
y^5
Step-by-step explanation:
you subtract the exponents
Complete the proof. Someone please help me answer this!
Answer:
Step-by-step explanation:
Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e [tex]180^{o}[/tex]).
It can be deduced from the given question that;
1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.
2. Given statements: m<1 + m<2 = [tex]180^{o}[/tex], and m<1 + m<3 = [tex]180^{o}[/tex]. The reason is the definition of supplementary angles.
3. Statement: m<2 = m<3. The reason is a transitive property.
4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.
5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.
Therefore, <2 ≅ <3.
Andy has $150 in a savings account that earns a simple interest rate of 5%. How much will be in Andy’s savings account after 3 years?
Answer
$172.5
U find one percent of a 150 then times that by 15
What is 6% sales tax on a $12
pair of mittens?
(show your work)
Answer:
$0.72
Step-by-step explanation:
In order to solve this question we need to know that 1% is one hundredth of something. Another important thing you need to understand is that when we are trying to find n% of y we multiply just need to multiply "y" by [tex](\frac{n}{100} )[/tex]. In our case we have to find 6% of 12, in other word they are asking as the following "What is $12 times [tex](\frac{6}{100} )[/tex]?". So in order to find the answer we do the following..............
[tex]12 (\frac{6}{100} ) = \frac{(12)(6)}{100} = \frac{72}{100} = 0.72[/tex]
Difference between x=2 and x>2 in terms of their solutions
Answer:
When x = 2, there's a solid answer, if x > 2, it's an inequality
Step-by-step explanation:
Lori scored 26 points in the game. This was 2 less than four times the number of points Ben scored. Which equation can be used to find, b, the number of points Ben scored?
James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 worth of tickets.
How many tickets for adults did James sell?
PLEASE HELP!!!!!
Answer:
Adults = 300
Step-by-step explanation:
A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year. To which population can the results of the poll safely be generalized
Answer:
Adults living in San Francisco, California
Step-by-step explanation:
The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of San Francisco who are aged 40 to 50 to find out whether they can buy
an electric vehicle sometime in the next year.
The population it can be generalized to is adults living in San Francisco, California.
A population is defined as the group of all the individual members or objects having some common interest or characteristics.
The individual members are called the sampling units or simply units.
Answer:
adults only who live in San Francisco
which ordered pair is a solution of the eqaution
2x-y=9?
Answer:
(5,1)
Step-by-step explanation:
2x-y=9
(5,1)
There are many ordered pairs you could choose. For instance if x=0, then y=9. So you have the pair (0,9). If y=0, then 2x=9, so x=4.5. So you have the pair (4.5,0). You can keep making pairs by plugging in different values!
The mean per capita income is 21,604 dollars per annum with a standard deviation of 727 dollars per annum. What is the probability that the sample mean would be less than 21635 dollars if a sample of 193 persons is randomly selected?
Answer:
0.72321
Step-by-step explanation:
Given that :
Mean = 21604
Standard deviation (s) = 727
Sample size (n) = 193
P(x < 21635) :
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s/√n
Z = (21635 - 21604) / 727/√193
Z = 31 / 52.330605
Z = 0.5923875
P(Z < 0.5924) = 0.72321 (Z probability calculator)
p(Z < 0) = 0.5 ( Z probability calculator)
Combine and simplify these radicals.
18.20
Answer:
[tex]4\sqrt{10}[/tex]
Step-by-step explanation:
Bobby, Rachel, and Sherry are going to have a water battle.
- Bobby fills his bucket at a rate of 3/4 gallon in 2 minutes.
- Rachel can fill her bucket at 1/5 gallon in 1/2 minute.
- Sherry can fill 3/8 gallon in 3/4 minute.
Order from fastest to slowest.
Answer:
The order is
Sherry >> Rachel>>Bobby
Step-by-step explanation:
Step one:
We want to find the smallest unit rate
given data
1. Bobby fills his bucket at a rate of 3/4 gallon in 2 minutes.
unit rate
=3/4/2
=3/4*1/2
=3/8
=0.375 gallons per minute
2. Rachel can fill her bucket at 1/5 gallon in 1/2 minute.
unit rate
=1/5/1/2
=1/5*2/1
=2/5
=0.4 gallons per minute
3. Sherry can fill 3/8 gallon in 3/4 minute.
unit rate
=3/8/3/4
=3/8*4/3
=12/24
=0.5 gallons per minute
Which expressions are equivalent to square root 1188x^5? Check all that apply
Select all of the factions that are equivalent to -2/3
Answer:
-4/6, -8/12, -16/24, etc. look at the picture.
Step-by-step explanation:
Brainliest Please!!! Also, Tip: show the multiple choice options.
Answer:
4/6
Step-by-step explanation:
subtract this please
Answer:
B. 3x^2 - 13x + 7
Step-by-step explanation:
6x^2 - 5x + 3 - (3x^2 + 8x - 4)
6x^2 - 5x + 3 - 3x^2 - 8x + 4
3x^2 - 13x + 7
Through (6,-2), slope = 1/3
Write the equation in slope-intercept form.
Answer:
y=1/3x+4
Step-by-step explanation:
Slope = 1/3
y=1/3x-b
Through (6,-2)
-2=1/3(6)-b
-2=2-b
-4=-b
b=4
y=1/3x+4
Hope this helps!
What is the base area of Box 3?
Answer:
[tex]1x^{2}+4x[/tex]
Step-by-step explanation:
Usually, you'd not include the "1" before x, but Edge has no brains and can't comprehend it not being there for some reason.
So 1 and 4.
The answer to the next question on the same page as the one I just answered:
What is the volume of Box 3?
B. x^4 + 4x^3 + x^2 + 4x
Answer:
1 & 4
Step-by-step explanation:
i did the question
Can anybody help with this ( hope this is better)
Hi! Ok so my little sister needs help with math but I have no idea what to do.
"A recipe makes 6 2/3 cups of pancake batter. If you use 5/6 of a cup of batter for one pancake, how many pancakes can you make?"
I know the answer is 8, but what are the units?
Answer:
Cups are the unit
Step-by-step explanation:
If you were using cups so 8 pancakes you use 5/6 of a cup per pancake
(a unit is just what you use to measure something, so cups, liters, or even cm or meters)
Find the angle measures
Answer:
1. 45
2. 45
3. 90
4. 45
5. 45
6. 60
7. 60
8. 60
9. 60
10. 60
Step-by-step explanation:
Find f(3) for f(x)=1/2(4)^x
Answer:
A. 32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/2(4)ˣ
f(3) is x = 3
Step 2: Evaluate
Substitute in x: f(3) = 1/2(4)³Exponents: f(3) = 1/2(64)Multiply: f(3) = 32A student buys a guitar that is on sale for 15% off the regular price of $200. He also must pay an 8% sales tax. What is his total cost for the guitar?
ASNWER CHOICES
$176.80
$178.00
$183.60
$186.00
Answer:
option c
Step-by-step explanation:
a guitar 15% off means that the cost is now 85%
[tex]100percent---200dollars\\85percent---x\:dollars\\\\x=\frac{200*85}{100}\\\\x=2*85\\\\x=170[/tex]
now the 8% of 170 is
[tex]100\:percent---170\:dollars\\\\8\:percent---x\:dollars[/tex]
[tex]x=\frac{8*170}{100}\\\\x=\frac{8*17}{10}\\\\x=13.6[/tex]
so the total cost is
170+13.6
183.6