let's recal the pythagorean theorem, where c² = a² + b², namely, the largest number squared is equal to the sum of the two smaller ones squared.
well, we can just start by say in A, looking the smaller sides, 3 and √9, if we squared both and add them up, do they give the largest one of √18?
[tex]\boxed{A} \\\\ 3^2+(\sqrt{9})^2 = (\sqrt{18})^2\implies 9+9 =18\qquad \textit{\Large\checkmark} \\\\\\ \boxed{B}\\\\ 3^2+4^2=5^2\implies 9+16=25\implies 25=25\qquad \textit{\Large\checkmark} \\\\\\ \boxed{C}\\\\ 7^2+7^2=(\sqrt{98})^2\implies 49+49=98\implies 98=98\qquad \textit{\Large\checkmark}[/tex]
so they all apply.
which number is not a member of the solution set of the inequality 4x ≥ 18
A. 4.4
B. 4.5
C. 4.6
D. 4.7
Answer:
4.4
Step-by-step explanation:
4 (4.4) ≥ 18 does not make sense. 4 x 4.4 = 17.6, which is not more than or equal to 18.
Answer:
Step-by-step explanation:
Find the odds for and the odds against the event rolling a fair die and getting a 1,a4,a3 or 5
Answer:
Step-by-step explanation:
Assuming we're rolling a cube die with 6 sides.
Odds for rolling any of 1, 4, 3, or 5 has four possible successes
4/6 = 2/3
Odds for NOT rolling any of 1, 4, 3, or 5 has two possible successes, 2 and 6
2/6 = 1/3
Solve the inequality and express your answer in interval notation.
x2 - 12x + 5 <0
Answer:
([tex]6 - \sqrt{31}[/tex], [tex]6 + \sqrt{31}[/tex])
Step-by-step explanation:
[tex]x^{2}-12x+5 < 0[/tex]
To solve this inequality, we can start by completing the square. To do this, we divide the x coefficient (-12) by 2 and then square it. We then add the result to the left side of the equation. To ensure the inequality remains true, we also subtract it.
[tex]x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\[/tex]
We can then express the first trinomial as a perfect square.
[tex](x-6)^{2} - 31 < 0[/tex]
Add 31 to both sides:
[tex](x-6)^{2}< 31[/tex]
Then take the square root of both sides:
[tex]x-6<[/tex] ± [tex]\sqrt{31}[/tex]
Finally, add 6 to both sides:
x < 6 + [tex]\sqrt{31}[/tex]
x > 6 - [tex]\sqrt{31}[/tex]
The solution to the inequality in interval notation is shown by option A
What is inequality?
An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other. Inequalities are denoted by symbols.
We have to use the quadratic formula that states that;
x < (-b ± √([tex]b^2[/tex] - 4ac)) / 2a
So we have that;
x < [12 ± √([tex](-12)^2[/tex] - 4 * 1 * 5)] / 2 * 1
Thus we would obtain in the end;
6 - √31 < x < 6 + √31
Learn more about inequality:https://brainly.com/question/28823603
#SPJ3
1) f(x) = x² + 2x + 1
2) g(x) = x² + 6x + 5
3) h(x) = x² - 12x + 36
4) g(x) = 9x² + 6x + 2
5) g(x) = x² + 6x + 4
Answer:
(X+1)(X+1) (X+5)(X+1)3. (X-6)(X-6)
Solve: (4x^2-3x+7)-(x^2+8x-5)
Given polynomial:
(4x²-3x+7) - (x²+8x-5)
⇛ 4x²-3x+7-x²-8x+5
⇛ (4x²-x²) +(-3x-8x)+(7+5)
⇛ (4-1)x²+(-3-8)x+12
⇛ 3x²+(-11)x+12
⇛ 3x²-11x+12
(4x²-3x+7) - (x²+8x-5) = 3x²-11x+12Note:-
When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.
Read more:
Similar Questions
Simplify: (2n-3)/(6n-9) A) 3 B) 1 C) 1/3 D) 1/3n 2. Multiply: (4x+12)/(x^2-2x) × x/(6x+18) A) 2/(3(x-2)) B) 2/(x-2) C) 2/3 D) 4/x 3. Subtract: 8x/(x+1)- 3/(x+1)...
https://brainly.com/question/3597437?referrer
. 8x2 - 50 A) 2(4x - 5)(x - 5) B) 2(2x - 5)(2x - 5) C) 2(2x + 5)(2x + 5) D) 2(2x - 5)(2x + 5) 4) Which binomial is a factor of the polynomial? 3x2 + 7x + 2 A) (...
https://brainly.com/question/15823865?referrer
Answer:
[tex]3x^2-11x+12[/tex]
Step-by-step explanation:
First, distribute the negative:
[tex]4x^2-3x+7-x^2-8x+5[/tex]
Then combine like terms:
[tex]3x^2-11x+12[/tex]
pls help with khan academy
Answer:
c
Step-by-step explanation:
because the rest are just way off
Answer:
The answer is C, bro
Step-by-step explanation:
hope this helped.
help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,
Answer:
42.5 inches
Step-by-step explanation:
Ivan is 75 inches tall, and Logan would be half his size, 37.5 that is, if he were 5 inches shorter. That means logan is 42.5 inches.
Answer:
Logan is 42.5 inches
Step-by-step explanation:
half of Ivan is 37.5
Logan is 5 inches taller than 37.5 so 42.5
Hope this helps!
Let me know if it does and if the answer is right
This is a question I need help with
Answer:
55
Step-by-step explanation:
180=35+90+m∠3
Amana Hagel earns $476 a week. She is married and claims 3 allowances. How much will
be withheld from her weekly paycheck for Federal Income Tax?
Answer:
$158.67
Step-by-step explanation:
hsdfhedrjeryeruerueru
what is that? Or I am not understanding
Help!!!! neeed someone to answer this question please!! its due today!
Answer:
1.)
a.)The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations.
b.)Medications such as naproxen, ibuprofen, and acetaminophen are most effective in reducing pain and swelling associated with muscle-related lower back pain. However, OTC medication is less likely to alleviate symptoms that stem from nerve compression or disc problems.
Step-by-step explanation:
I HOPE ITS HELP YOU
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me
the formula used to convert temperature from celsius to Fahrenheit is ___ find the formula that you can convert fahrenheit to celeries by solving C
Answer:
Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. The formula to find a Celsius temperature from Fahrenheit is: °F = (°C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: °F = (°C × 9/5) + 32 The two temperature scales are equal at -40°.
Step-by-step explanation:
PA BRAINLIEST
is -1/8 greater than -1/10
Answer:
false
Step-by-step explanation:
-1/8 = -0.125
-1/10 = -0.100
as it is negative
-0.125 < -0.1
so it is false
3/2 x -1/9
-5/4 divided by 1 3/7
Show your work please
Answer:
3/2 x -1/9= -1/6
-5/4 divided by 1 3/7=-7/8
Step-by-step explanation:
PLEASE HELP WITH THIS ONE QUESTION
Answer:
g(x) = x(x-2)^2(x-3) -3
Step-by-step explanation:
the translation from f(x) to g(x) is right 1 down 3.
vertical translations are easier since you just add the amount to everything. so we have f(x) - 3 = (x-1)^2(x-2)(x+1) -3.
for the horizontal translation, we make every x into x-1, so now we have (x-1-1)^2 (x-1-2) (x-1+1) - 3 or (x-2)^2(x-3)x -3
looking at the answers it is g(x) = x(x-2)^2(x-3) -3
Two computers just scanned for viruses at the same time. Computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. How long will it be until both computers runs a virus scan at the same time again?
Answer:
Step-by-step explanation:
List out multiples for both 3.75 and 4.5
3.75+3.75=7.5
7.5+3.75=11.25
11.25+3.75=15
15+3.75=18.75
18.75+3.75=22.5
4.5+4.5=9
9+4.5=13.5
13.5+4.5=18
18+4.5=22.5
At 22.5 days will both computers scan at the same time
If computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again
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 basic four operators that are +, -, ×, and ÷.
It is given that, two computers just scanned for viruses at the same time. Computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days.
We have to add the multiples of 3.75 days for computer A as,
3.75+3.75=7.5
7.5+3.75=11.25
11.25+3.75=15
15+3.75=18.75
18.75+3.75=22.5
For computer B
4.5+4.5=9
9+4.5=13.5
13.5+4.5=18
18+4.5=22.5
22.5 is the common multiple for both cases,
Thus, if computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ5
10) Bernice recived the followine scores
on 5 Science test : 96, 7, 82, 96
and 89. Which of the following statements
is true
a) The mean and median of the set of
Scores are the same t to sonho
b) The mode of the set score is 96
of The median of the set score is 82
do the mean of the set is greater
than the median
The mode of the set score is 96
The correct answer is b) The mode of the set score is 96.
What is mean, median and mode?The "mean" is the "average" of the set of values.
The "median" is the "middle" value in the list of numbers.
The "mode" is the value that occurs most often.
Now the given scores on 5 Science test are,
96, 7, 82, 96 and 89
So, Sum of all the scores = 96+7+82+96+89= 370
Mean :
Mean = Sum of all the scores / Number of tests
⇒ Mean = 370 / 5
⇒ Mean = 74
Median :
Median is the middle value after rearrangement
So, rearranging the scores we get,
7, 82,) 89,( 96, 96
Hence the median of the scores is 89
Mode :
Mode is the number occurring the most. Since 96 occurs the most, hence the mode is 96.
Thus, from the given option, the correct option is b) The mode of the set score is 96
Hence, the correct answer is b) The mode of the set score is 96.
To learn more about mean, median and mode :
https://brainly.com/question/27511579
#SPJ2
what is the definition of fixed percent?
Answer:
the quotient, fixed as a percentage
Step-by-step explanation:
Answer:
Fixed Percentage means, the quotient, expressed as a percentage, obtained by dividing the unexpended and not withdrawn amount of the Allocated Amount, at the time a Net Profits Interest is assigned by the total of (i) the unexpended and not withdrawn amount of the Allocated Amount and (ii) the unexpended and not.
What is the distance between points (8, 3) and (3, 1) on the coordinate plane?
Kaleb is ordering food for his siblings. Each burger costs $4 and each order of fries cost $2 each. Kaleb wants to spend at most $20. Let x represent burgers and y represent fries. a. Write a linear inequality to find the number of burgers and fries Kaleb can buy.
Answer:
4x + 2y ≤ 20
Step-by-step explanation:
x = burger
y = fries
a. 4x + 2y ≤ 20 at most means ≤
Determine if the given set of equations has 1 solution, no solution or infinitely many solutions. Include your reasoning for your answer.
y−2x=2
4y−8x=8
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
y - 2x = 24y - 8x = 8Divide both sides of the second equation:
4y/4 - 8x/4 = 8/4y - 2x = 2We got both equations same.
It means the lines representing the equations overlap, the system has infinitely many solutions.
HELPPP LAST ATTEMPT!!
Answer:
(0,4) is the answer hope it helps
Precalc please help
Solve for x. x+12√=x√+2
[tex]x = - \frac{2 \sqrt{3} + 12 }{11} [/tex]
hope it helps
see the attachment for explanation
[tex] \: [/tex]
What's 9 + 10?
Whoever gets it right get's the crown!
Answer:
jokes aside it is 19
Step-by-step explanation:
but if it is jokes then 21
Answer:
Step-by-step explanation:
the answer would be 21
I need the answers to thisssss?
Answer:
Step-by-step explanation:
A. Zero Slope: since it is horizontal
B. Positive Slope: since it goes up and to the right
C. Undefined Slope: since it is vertical
D. Negative Slope: since it goes down and to the left
Please help if you can!
Answer:
4-1
Step-by-step explanation:
i think thats right
Solve this problem and show the steps with check steps confirming answer is correct.
4x-7=2x+15
Answer: X=11
Step-by-step explanation:
Add 7 to both sides of the equation 4x-7=2x+15
4x-7+7=2x+15+7
Simplify
Add the numbers :4x -7 + 7 = 2 x + 15 + 7
Add the numbers:4 x = 2x + 15+7
down
4x=2x+22
Subtract
2 2 x 2 x from both sides of the equation
4 x = 2x +22 4x - 2x = 2x +22- 2x
Simplify
2x = 2x +22-2x
Divide both sides of the equation by the same term
2x = 22 2x/ = 22/2 x =22/2x =22/2 x=11
GIVING BRAINEST IF RIGHT!!
Factor x^4 - 12x squared + 36
Answer:
(x^2-6)^2
Step-by-step explanation:
Answer:
(x2-6)^2
Step-by-step explanation:
I think that's the answer not sure