Answer:
x = 4 + √3 and x = 4 − √3
Step-by-step explanation:
(a−b)^2=a^2−2ab+b2
a^2−b^2=(a−b)(a+b)
−2x^2+16x−26
=−2(1x^2−8x+13)
=−2(x^2−8x+13+3−3)
=−2(x^2−8x+16−3)
=−2(x^2−2(4)x+4^2−3)
=−2((x−4)^2−3)
=−2((x−4)^2−(√3)^2)
=−2((x−4)−√3)((x−4)+√3)
=−2((x−(4+√3)((x−(4−√3))
The zeros of the given algebraic expression are:
−2x^2+16x−26=0
−2((x−(4+√3)((x−(4−√3))=0
x = 4 + √3 and x = 4 − √3
I strongly suggest using the quadratic formula as this problem is much easier to solve using it.
x = (−b ± [tex]\sqrt{b^{2}-4ac }[/tex] ) / 2
Turn 14/6 into a mixed number
[tex]2 \frac{2}{6} [/tex]is the mixed fraction of [tex] \frac{14}{6} [/tex]
Answer:
2 1/3
Step-by-step explanation:
You first have the fraction 14/6.
To convert it into a mixed number you have to divide 14 by 6.
14 divided by 6 is approximately 2.333333, continued.
2.3333 in fraction form is 2 2/6
But you have to simplify it making the fraction 2 1/3
Pls check if these are correct. 1) If the following statement true or false? Explain your reasoning. All integers are rational numbers. (1 pt.) - The statement is false because 0 is an integer but cannot be written as the ratio of two integers - The statement is true because all numbers are rational numbers ✅ The statement is true because any integer x can be written in the for x/1, which is the ratio of two integers - The statement is false because 1/2 is a rational number but not an integer 2) Which of the following must describe an irrational number?(1 point) ✅ A number with a non repeating and non terminating decimal expansion - A number with a non terminating decimal expansion - A number with a non repeating decimal expansion - A number with a repeating or terminating decimal expansion 3)Which axiom is used to prove that the product of two rational numbers is rational?(1 point) - Natural numbers are closed under multiplication - Whole numbers are closed under division ✅ Integers are closed under multiplication - Integers are closed under division 4) Without calculating, how do you know the product 2/21 x 3/31 is rational? (1 point) - The product of any two positive numbers is rational. - When multiplying fractions, the product of two fractions is rational so long as both fractions are less than 1. ✅ Rational numbers are closed under multiplication, meaning that the product of rational numbers is rational. - When multiplying fractions. the product of two fractions is rational so long as both fractions are fully reduced 5) What rational number, when multiplied by an irrational number, has a product that is a rational number? (1 point) ✅ 1/2 - 1/10 - 0 - 1 Thx if you help
Answer: please find the answer in the explanation
Step-by-step explanation:
1.) All integers are rational numbers.
The statement is false because 1/2 is a rational number but not an integer
2.) Which of the following must describe an irrational number?
- A number with a repeating or terminating decimal expansion.
3.) Which axiom is used to prove that the product of two rational numbers is rational?
Integers are closed under division
4.) Without calculating, how do you know the product 2/21 x 3/31 is rational?
When multiplying fractions, the product of two fractions is rational so long as both fractions are less than 1.
5.) What rational number, when multiplied by an irrational number, has a product that is a rational number? 1/10
Answer:
fraction
Step-by-step explanation:
correct on edge
Tina and her friends want to go bowling. Family Bowling Alley charges $1 for shoes and $4 dollars per game. Knight Owl Bowling charges $2 for shoes and $3.75 per game. How many games will it take for the cost of bowling at each alley be the same?
Answer:
Number of games = 4
Step-by-step explanation:
Let the number of games = x
Family Bowling Alley charges $1 for shoes and $4 dollars per game
If x games is played
Cost= 1+4(x)
Knight Owl Bowling charges $2 for shoes and $3.75 per game.
If x games is played
Cost = 2 + 3.75(x)
When the both cost are equal
1+4(x)= 2+3.75(x)
4x-3.75x = 2-1
0.25x = 1
X= 1/0.25
X= 4
Number of games = 4
A monomial
B binomial
C trinomial
D quadrinminal
A students pays of 18 an hour is 4 more than twice the amount of the student earns per hour at an internship enter an solve an equation to find the hourly pay of the intership
Answer:
the hourly pay fro the internship is $7/hr
Step-by-step explanation:
The statement can be written mathematically as below
[tex]18 = 4 + 2x[/tex]
the hourly rate of the internship is [tex]x[/tex]
solving the equation, we have
[tex]18 = 4 + 2x[/tex]
subtract 4 from both sides of the equation
[tex]18 - 4 = 4 +2x -4[/tex]
[tex]14 = 2x[/tex]
[tex]x = 14/2[/tex]
[tex]x = 7[/tex]
the hourly pay fro the internship is $7/hr
Answer: $7
Step-by-step explanation:
According to the question , we have
$18=4+2 (amount of the student earns per hour at an internship)
Let x be the amount of the student earns per hour at an internship, then the equations will be
18 = 4+2x
Subtract 4 from both sides , we get
14 = 2x
Divide both sides by 2, we get
7 = x
Hence, the hourly pay of the intership was $7 .
9 + (–9) = 0 what is the property
Answer:
I think it's "inverse property of addition"
hope this helps :3
Evaluate: -12x3 please help me with this
Answer:
-36
Step-by-step explanation:
12 * 3 = 36
When you multiply by a negative number, the number becomes a negative therefore, -12*3 = -36
Answer:
-36
Step-by-step explanation:
When multiplying a negative and a positive the answer is always going to be negative. So 12x3=36 and the 12 is negative and the 3 is positive, so the answer is -36.
please help me find the x
Answer:
x=2
bd/ba=be/bc
6/6+4=x+1/x+1+x
6/10=x+1/2x+1
12x+6=10x+10
12X-10X=10-6
2X=4
X=4÷2=2
Answer:
x = 2
Step-by-step explanation:
Basic proportionality theorem,
[tex]\frac{AB}{BD}=\frac{CB}{BE}\\[/tex]
AB = AD + DB = 4+6 = 10
CB = CE + EB = x + x +1 = 2x +1
[tex]\frac{10}{6}=\frac{2x+1}{x+1}[/tex]
Cross multiply
10*(x+1) = 6*(2x+ 1)
10*x + 10*x = 6*2x + 6*1
10x + 10 = 12x + 6
Subtract 10x from both sides
10x + 10 - 10x = 12x + 6 - 10x
10 = 2x + 6
Subtract 6 form both sides
10 - 6 = 2x + 6 - 6
4 = 2x
Divide both sides by 2
4/2 = 2x/2
2 = x
x = 2
(17 points and brainliest!) If the point (x, y) is in Quadrant IV, which of the following must be true? A. x > 0 and y 0 C. x > 0 and y > 0 D. x < 0 and y < 0
Answer:
x>0 and y<0
Step-by-step explanation:
Quadrant IV is the bottom right corner.
X would have to be positive and Y would have to be negative.
Quadrants are simply the axes of a 2D coordinate that divides a plane into four segments.
The true statement is that: (a) x > 0 and y < 0
First, we analyze each quadrant
Quadrant 1
x and y are greater than 0Quadrant 2
x is less than 0y is greater than 0Quadrant 3
x and y are less than 0Quadrant 4
x is greater than 0y is less than 0By comparing the above to the list of given options,
The true statement about quadrant IV is (a) x > 0 and y < 0
See attachment for illustration of quadrants
Read more about quadrants at:
https://brainly.com/question/14450464
please help (20 points + brainlest)
Answer:
PT = 24
Step-by-step explanation:
PT = TQ
3x + 6 = 5x - 6
12 = 2x
x = 6
PT = 3(6) + 6
PT = 18 + 6
PT = 24
Answer:
24
Step-by-step explanation:
From the pic,PT=TQ
therefore,
3x+6=5x-6
5x-3x=6+6
2x=12
therefore, x=12/2
=6
therefore, PT=3×6+6
=24
use the associative and communicative properties to make this calculation easier. justify the steps.
6. (17×50)
Answer:
Step-by-step explanation:
6*(17*50) = 6 * (50 * 17) {Commutative property}
= (6 * 50) * 17 {Associative property}
= 300 * 17
= 5100
The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1/2x. Explain who is correct.
Answer:
The point that represents what the local business will donate is (10, 5). After testing the point in both equations, you can see that student B wrote the correct equation; 5 = 1/2(10).
Step-by-step explanation:
Answer:
The point that represents what the local business will donate is (10, 5). After testing the point in both equations, you can see that student B wrote the correct equation; 5 = 1/2(10)
Step-by-step explanation:
got correct on edge 2022
write the quadratic equation in standard form x squared + 3x = 8
Answer:
[tex]x^{2}[/tex] + 3x - 8 = 0
Step-by-step explanation:
ax² + bx + c = 0 (standard form)
Answer:
x² + 3x = 8
Step-by-step explanation:
PLEASE HELP What is the slope of the line y=−4y
Answer:
The slope is 0
Step-by-step explanation:
If the lines A and B are parallel then find the value of x
Answer:
The answer is 113 as we find angle qps and then x by alternate angle property.
There are 4 chocolate chip cookies and 12 oatmeal cookies in a jar. If you reach in and randomly choose 2 cookies without replacing the first, what is the probability that both will be chocolate chip? 6
Answer:
A
Step-by-step explanation:
So there are 4 chocolate chips and 12 oatmeal. In total, there are 16 cookies.
The probability of selecting a chocolate chip when you reach in for the first time will be 4/16 or 1/4.
The second time, you reach in, however, there would be one less chocolate chip cookie because you would've pulled one out previously. Thus, the probability is now 3/15 or 1/5.
So, the probability of pulling a chocolate chip cookie consecutively is:
[tex]\frac{1}{4}\cdot\frac{1}{5}=\frac{1}{20}[/tex]
Our answer is A :)
5x^2y/15xy simplified?
Answer: x/3
Step-by-step explanation:
5x²y/15xy
=x²y/3xy ⇔ divide 5 on both sides
=x²/3x ⇔ eliminate y
=x/3 ⇔ divide x on both sides
Hope this helps!! :)
Please let me know if you have any question
SOMEONE ANSWER THESE PLEASE!!
1.) why isn’t 9.72 a whole number?
2.) why isn’t -25 a whole number?
angela took 104 selfies last week. 1/4 of the selfies taken include her BFF Brianna. How many selfies include Brianna?
Answer:
I don't really know because I am dumb sorry
Answer:
26
Step-by-step explanation:
I can't seem to find the answers or understand how this works.
Answer:
m = 5
n = 12
Step-by-step explanation:
Opposite sides in a parallelogram are equal
so:
m+1 = 6
m = 6-1
m = 5
n is opposite to 12 so n = 12
Monique had $14.33 in her walllet. Her mother gave her $5.50 and she found a quarter on the floor. She owes her friend $20. Does Monique have enough money to pay her friend back? If so how much does she have left over? If not how much money does she need?
Answer:
yes she has enough money to pay her friend back
Step-by-step explanation:
14.33
5.50
+ 0.25
$20.08 this what she has and she will have 8 cents left over after she pays her friend
48=56+8b solve for b
Answer:
b= -1
Step-by-step explanation:
48 =. 56 +8b
-56 -56
---------------------------------
-8 = 8b
Divide 8 on both sides
-1=b
• Answer:
b = - 1
• Step-by-step explanation:
48 = 56 + 8b
48 - 56 = 8b
8b = - 8
b = - 8 ÷ 8
b = - 1
Solve y – 7 > 3 + 2y A) y -10 D) y > -10
Answer:
D. [tex]-y > 10[/tex]
Step-by-step explanation:
First, move the variable (+ 2y) to the left-hand side and change its sign.
[tex]y - 2y - 7 > 3[/tex]
Then, move the constant (+ 7) to the right-hand side and change its sign.
[tex]y - 2y > 3 + 7[/tex]
Then, collect the like terms (y - 2y)
[tex]-y > 3 + 7[/tex]
Finally, add the numbers (3 + 7). That will get you your final answer.
[tex]-y > 10[/tex]
Frank works in the supply room of a law firm. At the beginning of the month, he had 27 boxes of pens with 13 pens in each box. At the end of the month, there were 61 pens left. How many pens did he give out over the month?
Answer:
290
Step-by-step explanation:
first you multiply 27 times 13 and get 351.you then subtract 351 from 61 and get 290.
Answer:
290
Step-by-step explanation:
27x13 = 351
351-61= 290
When rolling 3 standard number cubes, the probability of getting all three is to match 6/216. What is the probability that the three numbers do not match? Explain reasoning
Answer:
21
Step-by-step explanation:
When rolling 3 standard number cubes, the probability of getting all three is to match 6/216. What is the probability that the three numbers do not match? Explain reasoning
please help
use the numbers 5 and 3 to provide an example of the Commutative Property of Addition.
Answer:
COMMUTATIVE PROPERTY
a+b=b+a
so with given numbers
5+3=3+5 is the answer.
Step-by-step explanation:
hope it will help :)
The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function? A.h(5 – x) B.1 + h(x) C.h(x + 8) D.–6h(x)
Answer:
D
Step-by-step explanation:
just took it got it right
Answer:
its D
Step-by-step explanation:
Which mathematician wrote "The Elements"?
Answer:
Euclid wrote "The Elements''
Step-by-step explanation:
Answer:
Euclid
Step-by-step explanation:
"The Elements" is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.
Amal can run 1\8 mile in 1 1\2
if Amal can maintain that pace, how long will it take him to run 1 mile
Answer:36 minutes.
Step-by-step explanation:
Multiply 12 by 3. I have this for homework right now and this is what i got and it was correct. I hope this helped!
Solve it: 3^x-1=(√3) Plz solve fast
Answer:
x = 3/2
Step-by-step explanation:
3^(x-1)=(√3)
Rewriting sqrt(3) as 3 ^ 1/2
3^(x-1)= 3 ^ (1/2)
The bases are the same so the exponents are the same
x-1 = 1/2
Add 1 to each side
x-1+1 = 1/2 +1
x = 3/2