This is what the steps look like when we complete the square
x^2 - 6x + 6 = 0
x^2 - 6x = -6
x^2 - 6x + 9 = -6+9
(x-3)^2 = 3
We add 9 to both sides so that we can factor x^2-6x+9 into (x-3)(x-3) = (x-3)^2
To get the 9, we cut the -6 (from -6x) in half to get -6/2 = -3. Then we square that to get (-3)^2 = 9
It might help to look at (a+b)^2 = a^2+2ab+b^2 and note the relationship between 2ab and b^2.
PLZ HURRY, I WILL GIVE BRAINLIEST!!
Which comparison symbol makes the inequality statement true?
-19 5/6 ____ -20 1/6
A. -19 5/6 -20 1/6
C. -19 5/6 = -20 1/6
Answer:
-19 5/6 > -20 1/6
-19 5/6 is greater than -20 1/6. The smaller the negative number, the greater it is compared to bigger negative numbers.
Help please!! If you can't see the photo well just let me know <3
Answer: The second one and fourth one.
Step-by-step explanation: did this already and got it right :)
Factor polynomials x^3 + 4x^2 - 9x - 36
I need help with solving the value of x. Then finding the measure of the base angle.
Answers:
x = -3
base angle = 49 degrees
============================================
Work Shown:
The missing angle is (2x+55) degrees since the base angles are congruent.
Add up the three angles and set the sum equal to 180. Solve for x.
(82)+(2x+55)+(2x+55) = 180
4x+192 = 180
4x = 180-192
4x = -12
x = -12/4
x = -3
Use this x value to find the base angle
B = base angle
B = 2x+55
B = 2*(-3)+55
B = -6+55
B = 49 degrees
Find the slope of the line determined by each pair of points: (-1,3), (-6,-4)
Answer:
[tex]m=\frac{7}{5}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 3)
Point (-6, -4)
Step 2: Find slope m
Substitute: [tex]m=\frac{-4-3}{-6-(-1)}[/tex]Simplify: [tex]m=\frac{-4-3}{-6+1}[/tex]Subtract/Add: [tex]m=\frac{-7}{-5}[/tex]Simplify: [tex]m=\frac{7}{5}[/tex]Find the value of all angles
Answer:
Step-by-step explanation:
This means that <C and <F are congruent.
So 2x - 15 = x + 15 Add 15 to both sides
2x-15+15=x+15+ 15
2x = x + 30 Subtract x from both sides
2x-x=x-x+30
x = 30
I've taken the bottom 2 angles to be equal. The lettering says they
are
Write one digit on each side of 36 to make a four-digit multiple of 36. How many different solutions does this problem have?
9514 1404 393
Answer:
3 solutions: 1368, 5364, 9360
Step-by-step explanation:
In order to be divisible by 36, the number must be divisible by 9 and by 4. The number will be divisible by 9 if the sum of its digits is divisible by 9. 36 already has a digit sum of 9, so the two added digits must sum to 9.
The number will be divisible by 4 if the least-significant digit is a multiple of 4. That is, it must be 0, 4, or 8. Then the corresponding most-significant digits must be 9, 5, or 1.
The three solutions are ...
1368 = 38 · 36
5364 = 149 · 36
9360 = 260 · 36
HELP ASAPPP!!! !!!! PLEASE
Answer:
B.
Step-by-step explanation:
for decimals, you start with tenths, so it would be thousandths
1. 1.01 x 1.1 *
2.11
11.111
1.1
1.011
Answer: 1.1
1.01 x 1.1 = 1.111
I hope this is good enough:
again i need some help with this :D
Answer:
v + u - 4
Step-by-step explanation:
Bernard says “When you halve a whole number that ends in 8, you always
get a number that ends in 4”
Write down an example to show that Bernard is wrong.
is this a trick question?
Answer:
Bernad is WRONG.
Step-by-step explanation:
Let us take the number '18' (ends with 8)
The half of 18 is '9' (doesn't end with 4)
Let us take the number '38' (ends with 8)
The half of 38 is '19' (doesn't end with 4)
Therefore, Bernard is wrong.
Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Bernard says “When you halve a whole number that ends in 8, you always get a number that ends in 4”
It can be written mathematically:
Let's suppose the number is '18' (ends with 8)
The half of 18 = 9 (doesn't end with 4)
Let's suppose the number is '38' (ends with 8)
The half of 38 = 19 (doesn't end with 4)
Thus, Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”
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solve for b and simplify -17=-3/2b
Answer:
b = 34/3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-17 = -3/2b
Step 2: Solve for b
Rewrite: -3/2b = -17Divide both sides by -3/2: b = 34/3Step 3: Check
Plug in b to verify it's a solution.
Substitute: -17 = -3/2(34/3)Multiply: -17 = -17Find the domain and range of y=-5x-1
Answer:
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex][tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
[tex]y=-5x-1[/tex]
The function has no undefined points nor domain constraints. Hence, the domain is
[tex]-\infty \:<x<\infty \:[/tex]
i.e.
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
[tex]-\infty \:<y<\infty \:[/tex]
i.e.
[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Which answer is equivalent to the following expression:
42 ÷ ‒7
A.
6
B.
7
C.
‒7
D.
‒6
Answer:
D
Step-by-step explanation:
42 dived by -7 is -6, D
Given the figure above, if
Answer:
67
Explanation:
the angle labeled 10 which is =113 and the angle labeled 11 are co interior angles.
co interior angles add upto 180 therefore to get the value of the angle labeled 11 you subtract 113 from 180 which gives you 67
the angle labeled 11 which is =67 and the angle labeled 8 are alternate angles. Alternate angles are equal therefore the value of the angle labeled 8 which you've been asked to give is 67
Danielle can type 600 words in 30 minutes. How many words can she type per minute?
Answer:
20
Step-by-step explanation:
just divide 600 by 30
20. because 600 divided by 30 is 20.
Write three expressions that are equivalent to the given expression.
7a+21
Answer:
a+3
2a+6
3a+9
Step-by-step explanation:
simplify by dividing by 7 and then multiply by any number in this case I did 1, 2 and 3
Geena is meeting her brother at a cafe on Bradford Rd and Blanco Rd. She is currently on the corner of Lafayette Ave. and Blanco Rd.
Her brother tells Geena that the shortest route is straight down Blanco Rd.
Geena disagrees. She thinks the shortest route is down Lafayette Ave., turn onto Smith St., then on Blanco Rd. until she reaches the cafe.
Who is correct? What is the difference in the two routes?
Answer:
THEY ARE BOTH IN DIFFERENT PLACES??
Answer:
.25
Step-by-step explanation:
y = $36 x 0.9
Choose
y = $324.00 : increase
y = $324.00 : decrease
y = $32.40 : increase
y = $32.40. decrease
Crystal bought b boxes of cookies to bring to a party. Each box contains 18 cookies. She decides to keep two boxes for herself. She brings 90 cookies to the party. Which equation can be used to find the number of b boxes Crystal bought?
A) 2b − 18 = 90
B) 18b − 2 = 90
C) 18b − 36 = 90
D) 36 − 18b = 90
Answer:b
Step-by-step explanation:
she took 2 boxes and there is 18 per box 18 times b = 90
33 1/3% of what number is 12?
[tex]33\frac{1}{3}[/tex]% of 36 is 12.
What is percentage ?Percentage is the value per hundredth.This can be numerically expressed as (required percentage)/(100 percent)×total value = required value.We can also convert fractions and decimals into percentage by multiplying 100 with it.
According to the given question we have to determine [tex]33\frac{1}{3}[/tex] % is 12.
Let the required number be x.
∴[tex]33\frac{1}{3}[/tex] % of x is 12,This can be numerically written as
(100/3)/100×x = 12.
(1/3)x = 12.
x = 36.
To cross check what we can do is check what is [tex]33\frac{1}{3}[/tex] % of 36.
So, [tex]33\frac{1}{3}[/tex] is = 100/3.
(100/3)/100×36.
= 36/3.
= 12.
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I have been trying this again and again. Can anyone plz explain this plzzz?
The picture is too blurry to read.
There are 6 people in George's family. How much did George's mom pay for tickets? Show how you found your solution.
Answer:
$75
Step-by-step explanation:
To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.
The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.
Using (4, 50), this means that 4 tickets cost $50.
Unit rate/constant of proportionality = y/x = 50/4 = 12.5
This means a ticket costs $12.5.
Therefore, 6 tickets would cost:
6 tickets × $12.5 = $75.
George's mom paid $75 for the tickets?
cAn SOmeOnE PLeAse HELp ME WIth Math
Answer: B
Step-by-step explanation:
I did this last year so I can recall how to solve it :p
(barely)
23·4 1 6 +37·4 1 6 HOW DO I DO THIS?!?!?
Answer
60.832
Step-by-step explanation:
Combine the numbers
HOPE THIS HELPS YOU....
PLZ HELP FAST!!!!!!!!
Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .
Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.
a. The slopes of the two equations in the system are the same but their y-intercepts are different.
b. The system is an independent system.
c. The graphs of the two equations would intersect at the point (0,3).
Answer:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.Step-by-step explanation:
The system resulting in equation 0=3 means:
There is no solutionThe lines are parallel as no intersectionCorrect choice is:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.What is the equation, in slope-intercept form, of the line parallel to -5x + y = 2 that passes through the point
with coordinates (-2, 1)?
Answer:
y = 5x + 11
Step-by-step explanation:
- first rearrange -5x + y = 2 and you'll have y = 5x + 2
- the slopes of parallel lines are equal so the slope of the line is 5
so far we have y = 5x + b
- to get b, replace the values in the equation by the values of the given point
(1) = 5(-2) + b
- rearrange and calculate, b = 11
y = 5x + 11
pls help me, i’ll give brainliest
Answer:
the set of integers
Step-by-step explanation:
What is the standard deviation of this data set? Use a calculator to help you.
Round your answer to the nearest tenth.
11,16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78,99
Answer:
23.2
Step-by-step explanation:
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
23.2
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2 (rounded to the nearest tenth).
Option B is the correct answer.
We have,
Find the mean:
Mean = (11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99) / 15
= 601 / 15
= 40.06
Subtract the mean and square the differences:
(11 - 40.06)² = 844.48
(16 - 40.06)² = 578.8836
(22 - 40.06)² = 326.1636
(28 - 40.06)^² = 145.4436
(29 - 40.06)² = 122.3236
(30 - 40.06)² = 101.2036
(31 - 40.06)² = 82.0836
(34 - 40.06)² = 36.7236
(37 - 40.06)² = 9.3636
(38 - 40.06)² = 4.28
(43 - 40.06)² = 8.6436
(49 - 40.06)² = 79.92
(56 - 40.06)² = 254.0836
(78 - 40.06)² = 1439.4436
(99 - 40.06)² = 3473.9236
Calculate the mean of the squared differences:
The mean of squared differences.
= 7506.9632/15
= 500.4642
Take the square root of the mean squared differences:
Standard deviation = √(500.4642)
Standard deviation ≈ 23.223
Therefore,
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2.
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