x^2 - 3x + 9 - 5x + 10 = 0
x^2 - 8x + 19 = 0
[tex]x^{2} -3x+9=5x-10 <=> x^{2} -3x-5x+9+10=0\\<=>x^{2} -8x+19=0 <=>x^{2} -2.4+16+3=0\\<=>(x-4)^2+3=0[/tex]
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Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
Answer:
12-4√5
Step-by-step explanation:
(√10-√2)²
(√10-√2)(√10-√2)
Foil/distribute
10-√20-√20+2
12-2√20
12-2√4*√5
12-2*2√5
12-4√5
On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.
Algebraic identities are expansion of powers of algebraic expressions.
One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
Given the question,
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]
Given the form, [tex]b - c\sqrt{5}[/tex],
On comparison,
b = 12
c = 4
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Mateo wants to buy a BMX bike to compete in his town's extreme sports contest. He set up a lemonade and cookie stand to raise the money. Mateo sold lemonade for $1 per cup and cookies for $3 each. He sold 40 cups of lemonade and 20 cookies. How much money did he make?
Answer:100$
Step-by-step explanation: you multiply 40x1 and 20x3
pls help .................
Answer:
Step-by-step explanation:
I'm guessing at this a bit.
The final score will depend on what is par for each hole and/or for the entire course. The scores for the first four rounds were all negative. That means Ko required fewer strokes to hit the hole than the number considered "par" for the course.
Let P stand for the Par of the course. Then the score for each round would be:
P-3
P-4
P-7, and
P-2
The sum: 4P - 16 is her score for the first four rounds. I have no clue if there are more than 4 rounds, but if there are, the equation would be:
For n rounds:
nP - ∑[tex]x_{n}[/tex]
where ∑[tex]x_{n}[/tex] is the sum of over/under pars for the n rounds.
please help asap for brainlist
Answer:
Both graphs have a y-intercept of (0,1) and y=6^x is steeper
Step-by-step explanation:
Plug in 0 for x to find the y-intercept. THey would both be raised to the 0th power meaning both y's equal 1. So, they both have the y-intercept of (0,1).
y=6^x is steeper becuase when you graph it, you can see it is. Also of course 6 is higher than 3.
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At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.
Answer:
First, round $19.83 to make the mental math easier. Then round the tip as well. Then you can easily multiply the two rounded numbers to find the value.
Step-by-step explanation:
What is the slope of a line that is parallel
and perpendicular to each line?
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
What happens to the value of the expression b - 1 as b increases?
Answer: The value will increase by one as B increases by one or so on
Step-by-step explanation:
Answer:
It increases
Step-by-step explanation:
Use the picture below to answer the question. The measure of angle 3 is 50 degrees. What is the measure of angle 6?
what are 43.6÷8 use compatible numbers using the quotient
Answer:
7.3
Step-by-step explanation:
Marking brainliest
What do you thinks this means and why does it matter
they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023
how to find a and b in the equation below.
3(a+b)=28
we have: 3(a+b)=28 => a + b = 28/3
=> a = 28/3 - b and b = 28/3 - a
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i forgot what the definition of y-axis and x-axis was
Answer:
y is the height and x is the length
Step-by-step explanation:
Remember when you're doing y and x axis y is height and x is length it works like coordinates.
Type the correct answer in the box.
3 units
2 units
2 units
The area of the figure is
square units.
Reset
Next
Plz help
Answer:
8 units
Step-by-step explanation:
Area of square = 2x3 = 6 units
Area of triangle = (2x2)/2 = 2 units
Total area = 6 +2 = 8 units
Answer:
As previous answer stated, 8 units
Step-by-step explanation:
You multiply one side of the square by another to get 6 units, then, add the units from the triangle
In a recent year, 21% of all college students were enrolled part-time. If 7.6 million college students were enrolled part-time that year, what was the total number of college students?
Answer:
36.19047619 million
or 36,190,476 students
Step-by-step explanation:
7.6 million / all students = 21% / 100%
7.6 * 100 / 21 = 36.19047619
36.19047619 million
or 36,190,476 students
can some one help me on this
PLS HELP
First answer- (5,0) (10,0)
Second answer- (0,1//20) (0,20)
Yes or no awnser pls
Answer:
No the question iant a function
If f(x) = 14
then what does f(-3) equal?
Answer:
27 I do believe so sorry if im wrong
Step-by-step explanation:
Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?
Answer:
8 kiwis
Step-by-step explanation:
32/16= 2
2 kiwi for $1
4*2= 8
Answer:
8
Step-by-step explanation:
Method 1:
32 kiwi = $16
(÷4)
8 kiwi = $4
(take $16 divided by $4 to find the number of sets of 8 kiwis. hope this helps.)
Ans: 8
Method 2:
$16 ÷ 32 = $0.50 (cost of 1 kiwi)
$4÷$0.50=8
Guys, Take a look at the screenshot below, do you understand this problem? If you do so, please tell me the answer!
Answer:
there is no screenshot or I just can't see it
loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?
Answer:
dimes: 5
quarters:8
Step-by-step explanation:
she has 2$ in quarters and $0.25 in dimes
Answer:
10 Dimes and 5 Quarter
Step-by-step explanation:
Important info:
18 Coins worth a total of $2.25
Note:
Dimes = .10
Quarter = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many each type of Coin does she have?
Solution:
Lets get rid of .25 in $2.25 :)
So that 1 Quarter..
2.00
Takes away 1.00 = 10 Dimes
Now we have 1 Quarter and 10 Dimes.
1.00 Left..
4 Quarter = 1.00
So now we have 5 Quarter and 10 Dimes..
Check Work:
5 Quarter = 1.25 and 10 Dimes = 1.00
1.25+1.00=
$2.25
Hence. Loria has 5 Quarter and 10 Dimes.
{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}
~[ RevyBreeze]~
plz answer in (x,y). 15 POINTS!!!!!!!!
The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week?
Table:
x: 0, 6, 12
y: 20, 29, 38
Answer:
29/6 = 4.83.. or 4.8
Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
Step-by-step explanation:
substitute the value of y
3x+2x+3=-2 (collect like term)
5x=-2-3 (calculate the difference)
5x=-5 (both side over 5)
x=-1
i hop it helps you❤
HI GUYS CAN SOMEONE PLEASE HELP...
TYSM IT WUD MEAN SO MUCH
Answer:
what do you need help with??
Step-by-step explanation:
i would be happy to help : )
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answer:
i don't understand 5, 8, 9, or 10.. I'm sorry...
6. A. With each one (1,2,3) the pattern increases by 3 dots each time
B. the fourth pattern would be 4 rows of 3 (look at picture below)
7. The pattern adds 2 squares, one on the left and one on the right side
Step-by-step explanation:
so... a conjecture is basically like an educated guess.. so ye :)
solve pls brainliest
How can I use the scale factor to determine if a picture is an enlargement?
Answer:
You can use the scale factor to determine if a picture is an enlargement if the scale factor is greater than 1. If it is less than 1 like 0.9 then the picture would be a reduction because you would be multiplying the number by a number smaller than 1. Now if we have a scale factor greater than 1 let's say 3. Then the picture would be an enlargement because the number is greater than 1.
Step-by-step explanation:
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
3% freshwater
Step-by-step explanation:
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
1%
Step-by-step explanation:
3% is wrong. I took the test and I’ve studied this :)
Mary is 19 years younger than Jordan. Sarah is 49. Leo is 11 years younger than Sarah and 3 years
younger than Jordan. How old is Mary?
Answer:
22 years old
Step-by-step explanation:
Sarah - 49 years old
Leo - 38 years old
Mary - 22 years old
Jordan - 41 years old
I think I'm right
There are 120 people in a school canteen.
Half of the people in the canteen are in year 11 students.
The number of year 11 students in the canteen is three times the number of year 10 students.
The rest of the people in the canteen are year 9 students.
the number of year 9 students : the number of year 10 students = n : 1
Work out the value of n.
You must show how you get your answer.
2:1
Step-by-step explanation:
List all variables
Total people=120
year 11 students=120/2=60
year 10 students=60/3=20
subtract year 10 and 11 students from the total to get the number of year 9 students
year 9 students=120-60-20
=40
year9:year10
40:20
2:1
Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
What is variable?" A variable is defined as the quantity which represents the change in value as per the given condition in a mathematical problem."
According to the question,
Total number of students in school = 120
As per the conditions given we have,
Number of 11 year students = [tex]\frac{120}{2}[/tex]
= 60 people
Number of 11year students = 3 × ( Number of 10 year students)
⇒Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]
= [tex]\frac{60}{3}[/tex]
= 20 people
Number of (11year + 10year + 9year ) students = 120
⇒ 60 + 20 + Number of 9 year students =120
⇒Number of 9 year students = 120 - 80
= 40 people
Substitute the value in the given condition to get the value of the variable we get,
Number of 9 year students : Number of 10 year students = n:1
⇒40 : 20 = n: 1
⇒n = 2
Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
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