[tex]x^2\gt2x-2[/tex]
[tex]x^2-2x+2\gt0[/tex]
You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.
[tex]x^2-2x+2=0[/tex]
Use Vieta's rule to get the roots,
[tex](x-1)(x-1)=0[/tex]
Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at [tex]x_{1,2}=1[/tex] which means the set for which the quadratic function is greater than 0 is [tex]\mathbb{R}-\{1\}[/tex] "all real numbers except 1".
To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,
[tex](-\infty,1)\cup(1,\infty)[/tex]
Hope this helps :)
What are the values of x and y
Answer:
x=10.39,y=9
Step-by-step explanation:
steps are in the picture
Sam has been asked to prepare 40 documents in 2 work days(there are 8 hours in each workday).Each document takes 30 minutes to prepare.Assuming Sam works both days,how many hours of help will he need to finish in 2 work days?
Answer:n 2 work days, there are 8 hours in each workday. How many hours of help will he need in 2 work days
Step-by-step explanation:
Can I have some help, please?
Answer:
[tex]-3(t+1)(8t-3)[/tex]
Step-by-step explanation:
First, factor both the denominators completely:
[tex]9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)[/tex]
[tex]8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)[/tex]
Now, we can see that the factors of the first denominator are -3 and 8t-3.
The factors of the second denominator are t+1 and 8t-3.
To find the LCD, multiply all of these factors together:
[tex]-3(t+1)(8t-3)[/tex]
Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.
I hope this helps!
What is an equation of the line that passes through the points (8,-5) and (8, –2)?
Slope Formula (Between 2 points)
[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Let these be the following:
[tex] \displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)} [/tex]
Substitute these points in.
[tex] \displaystyle \large{m = \frac{ - 2 - ( - 5)}{8 - 8} } \\ \displaystyle \large{m = \frac{ - 2 + 5}{0} }[/tex]
Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.
Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.
The line has to be vertical since a x-value can export many y-values.
Hence, the equation of a line would be x = 8
What exactly is Maths? And why do we die from maths? Please answer... This is a serious question though.
Answer:
it's because if you know maths you can go very far like being successful and have a chance for ur career or dreamMath is the the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering. You can D1E from math if its just too hard...
Create an example of a rational value between -8 and -9 and show the work
Answer:
-8.75
Step-by-step explanation:
Rational: a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
A rational number is a number that can be expressed as a fraction with an integer numerator and a positive integer denominator. Two different fractions may correspond to the same rational number. 1/2 = 2/4. Every whole number is a rational number. These can be written as N/1 = N, so they are rational numbers.
Using formula:
[tex]\to \bold{rational\ value =\frac{a+b}{2}}[/tex]
Given:
a=-8
b=-9
Calculating the rational number:
[tex]\to \bold{rational\ number=\frac{-8+(-9)}{2}}[/tex]
[tex]\bold{=\frac{-8-9}{2}}\\\\ \bold{=\frac{-17}{2}}\\\\ \bold{=- 8.5}\\\\[/tex]
Learn more:
brainly.com/question/24484724
Can you tell which 3-D shape this would make?
Answer:
A triangular prism
Explanation:
The 2 triangles will be the 2 bases and the 3 rectangles will be the 3 sides.
Please help
Write a formula for the number of subsets of any set; identify any symbols use
Mark brainliest!!!
Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
Hope it helps you... pls mark brainliest if it helped you.
Note- this answer was taken a little from "Byjus, shaala and remaining I typed myself.
AAA construction company increases their work force from 12 workers to 20 workers in a year. What is the approximate percent increase of the number of workers?
Answer:
66.67
Step-by-step explanation:
20-12=8
8/12=0.6666667
0.6666667x100=66.67
Express 2 as a fraction
Answer:
2/1 would be the answer since you have a whole number
Answer:
2/1
Step-by-step explanation:
when expressing two as a fraction, you're only demonstrate that invisible denominator of 2, as it will get your back to 2 when you calculate it
please help, i do not get this.
Answer:
k(x) = |x - 4| - 2
Step-by-step explanation:
So we know that k(x) is shifted 4 untis to the right and 2 units down. In an absolute value function, the value you move to the left will be positive and the value you move to the right will be negative. Since we are moving to the right, our value will be negative.
When you shift the function up or down, you will either subtract or add that value out side the absolute value. Since we are shifting down 2 units, that means we will be subtracting by 2.
Best of Luck!
1:
GUVUGUVU
Sally and Billy solved the following equation:
10 - 3 x 2 +(7-4)
1) Which student did the steps in the correct order and got the correct answer?
2) Why is it important for everyone to use the same order of operations?
Sally
Billy
Step 1: Subraction 10 - 3-7
Step 2 Multiplication 7x2 14
Step 1: Parentheses (7-4) - 3
Step 2: Multiplication 3 x 2 - 6
Step 3: Subtraction 10 -6 = 4
Step 3: Addition 14+ 7 = 21
Step 4 Subtraction 21 - 4 = 17
Step 4: Addition 4+3 = 7
Final Answer: 17
Final Answer 7
What is the area of BCD?
A. 36 square units
B. 32 square units
C. 16 square units
D. 72 square units
Answer:
36
Step-by-step explanation:
The length is 12, and the height is 6
A = 1/2 * b*h
So area = 1/2 * 72 = 36
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Gavin works for a skydiving company.
Customers pay $200 per jump to skydive in
tandem skydives with Gavin.
Which function below has the following domain and range?
Answer:
The first choice.
Step-by-step explanation:
Domain = x value (first value in a coordinate pair: (x,y))
Range = y value
A function cannot have a repeating Domain value.
This eliminates the last option since -4 is used twice.
The second option has 11 as a y value but it is not in the range.
The third option has 10 as an x value but it is not in the domain.
Mrs. Diaz had 5/6 gallon of paint to start. When she finished sha had 1/2 gallon. How much paint did Mrs. Diaz use?
Answer:
1/3
Step-by-step explanation:
To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.
5/6-1/2
L.C.M
10-6/12
4/12
=1/3
Determine the answer to (-3)+(-5) and explain the step using a number line
Answer:
below
Step-by-step explanation:
When are adding a negative number, that means that you just subtracting a positive value.
-3 + (-5) -> -3 - 5
On a number line you would to put finger at the point -3 and move to the left 5 spaces since we are subtracting.
Best of Luck!
in a class of 7 students there are 4 that play soccer.
if the teacher picks 3 students what is the probability that none of them play soccer
Answer:
Step-by-step explanation:
The total number of ways to draw 3 students is 7*6*5 = 210
Order does not matter. There are 3 students that don't play soccer.
P(3 don't play soccer) = 3*2 * 1 / 210 = 1/35 = 0.02857
I need help on this problem
36-12x/6
Find the value of X
10
X
Answer:
x = 10.
Step-by-step explanation:
the length of the two sides are the same so x must equal 10. hope this helps
Answer:
x = 10
Step-by-step explanation:
The triangle is isosceles so the two angles in red are equivalent.
This also means that the sides measuring 10 and x are equivalent.
10 = x
x = 10
| در
please help if you can :)
Answer:
v=-14.4
Step-by-step explanation:
Isolate v.
add - 3.1 to the other side
-7.9+3.1=-4.8
Now the problem is: -4.8 = v/3
Next, multiply both sides by 3
-4.8 times 3 = -14.4
v = -14.4
Answer:
-14.4
Step-by-step explanation:
-7.9 = -3.1 + (v/3)
- 4.8 = v/3
v = -14.4
Calculate f(4x + 5) if f(x)=x^2
Answer:
13x
Step-by-step explanation:
(x)(4(2)+5)
x(8+5)
x(13)
13x . answer
please follow meAnswer:
[tex]\huge\boxed{\sf f(4x + 5) = 16x\² + 40x + 25}[/tex]
Step-by-step explanation:
Given that:
f(x) = x²
Put x = 4x + 5
f(4x + 5) = (4x + 5)²
f(4x + 5) = (4x + 5)(4x + 5)
f(4x + 5) = 4x(4x + 5) + 5(4x + 5)
f(4x + 5) = 16x² + 20x + 20x + 25
f(4x + 5) = 16x² + 40x + 25
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Multiple 8x^8(-6x^3+5x^2+5x)
Answer:
First, start by applying the distributive law property to the given equation:
8x^8(-6x^3+5x^2+5x)
So, it'll go like this --> x (a + b + c) = xa + xb + xc
After you have the equation in this form you will then simplify.
See the steps below for better understanding.
(the answer is highlighted in red)
The following data points represent the number of police calls that were made last year in each of the cities in Hogdon County.
Sort the data from least to greatest.
363, 311, 276, 222, 253, 235, 244
Find the median number of calls.
??? calls
Help please :)
The median number of calls is 235.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given;
The data;363, 311, 276, 222, 253, 235, 244
Now to find the median arrangement will be
222,235,244,253,276,311,363
Therefore, the median will be 253
Learn more about mean and median;
https://brainly.com/question/17060266
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What are the modes of the following sets of numbers?
a. 3, 13, 6, 8, 10, 5, 6
Answer:
13
Step-by-step explanation:
I think it's helping you....
Question 9 What is the predecessor of - 5?
Question 11. Write the following integers in their increasing order. - 3,0,- 6,5, – 4, 6, 3, -8
Question 15. Find the sum of the following integers: (a) (-8) + (+ 5) + (-3) + (-2) (B) (- 7) + (- 9) + (+4) + (+3)
Step-by-step explanation:
1) -4
2) -8, -6, -4, -3, 0, 3, 5
3) (a) -8 + 5 - 3 - 2
-13 + 5
-8
(b) -7 - 9 + 4 + 3
-7 - 9 + 7
-9
a shopkeeper buys an old fridge for 7220. he spends 1235 for repairing it and sells it for 8500. what is the profit or loss
Answer:
profit is 45 dollars
Step-by-step explanation:
you add 7220+1235 to get 8455 and he sold it for 8500 so that's a 45$ profit
Laura borrowed a total of $21,000 from two different banks to start a business. One bank charged the equivalent of 5% simple interest, and the other charged
6.5% interest. If the total interest after 3 years was $3240, determine the amount borrowed from each bank.
Let x represent the principal on the business loan at 5%.
Then, (ID is
he
remaining amount borrowed at 6.5%
X
The amount borrowed from the first and second bank is 19000 and 2000 respectively.
Recall :
Simple interest = P×R×T
Total principal, P = 21000
Bank 1 :
Let, Principal, P = x
Rate, R = 5%
Time, T = 3
Bank 2 :
Principal, P = (21000 - x)
Rate, R = 6.5%
Time, T = 3
Total interest paid = 3240
Bank A interest + Bank B interest = total interest paid
[x × 5% × 3] + [(21000-x) × 6.5% × 3)] = 3240
0.15x + 4095 - 0.195x = 3240
-0.045x = 3240 - 4095
-0.045x = - 855
x = 19000
Hence,
19000 was borrowed from Bank 1
(21000 - 19000) = 2000 was borrowed from bank 2
Learn more : https://brainly.com/question/20831630
The set of all two − digit numbers whose leading digit is greater than the units digit and the sum of the digits is 10.
Answer:
64
73
82
91
Step-by-step explanation:
All the two digit numbers with the sum of 10
19
28
37
46
55
64
73
82
91
The numbers whose leading digit is greater than the units digit is:
64
73
82
91
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
4(x^(2)-6)-3x(x+5) simplify
Step-by-step explanation:
I think that ×3x²-7x-6 is the answers