The required solution of the given simultaneous equations are x = 2, 3 and y = 3,9.
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Now the given simultaneous equations are,
y = x^2 ...(i)
y = x + 6 .....(ii)
Equating (i) and (ii) we get,
x^2 = x + 6
or, x^2 - x - 6 = 0
Solving we get,
x^2 - 3x - 2x - 6 = 0
⇒ x(x - 3) -2(x - 3) = 0
⇒ (x - 2)(x - 3) = 0
So, x = 2, 3
Putting x = 2, 3 in equation (i) we get,
y = 2^2
⇒ y = 4
and,
y = 3^2
⇒ y = 9
Thus, y = 3,9
Thus the required solution of the given simultaneous equations are x = 2, 3 and y = 3,9.
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Help please!
Thank you!
Answer:
81
Step-by-step explanation:
y= x²
if x= 9 substitute x with 9 in the equation
y= 9² = 81
can someone answer my last question?
Answer:
What is the question?
Step-by-step explanation:
What is the image of P(11,-4) using the translation (x, y) = (x– 17, y+2)?
Answer:
The image of P(11,-4) will be: P'(-6, -2)
Step-by-step explanation:
Given the point
P (11, -4)The rule:
(x, y) = (x– 17, y+2)
Meaning the image of P(11,-4) can be determined by subtracting 17 units (moving left) from the x-values and adding 2 units (moving up) to the y-values.
Therefore,
(x, y) = (x– 17, y+2)P(11, -4) → P'(11-17, -4+2) = P'(-6, -2)
Thus, the image of P(11,-4) will be: P'(-6, -2)
The price of a pair of jeans originally are $50. Today they are on sale for
$30. What percent off (percent discount) are the pair of jeans?
Answer:
40% off
Step-by-step explanation:
50x2=100
30x2=60
100-60=40
40% off
Arun signed up for a streaming music service that costs $15 per month. The service
allows Arun to listen to unlimited music, but if he wants to download songs for offline
listening, the service charges $1.25 per song. How much total money would Arun
have to pay in a month in which he downloaded 35 songs? How much would he have
to pay if he downloaded s songs?
Answer: he would pay a total of $58.75 if you include the cost of the cost of unlimited listening but for downloads alone it is 35 multiplied by 1.25 which would be $43.75 and another way to put it would be x×$1.25=cost and then another way to put it would you could put it as x×$1.25=cost cost+$15=total cost of everything
Describe the error in finding the length of AB .
Should have taken the absolute value.
Should have measured to hundredths.
Should have lined up ruler starting at 0.
Should have subtracted 5.5 instead of 4.5.
The actual length of the segment is {Blank}
centimeters.
Answer:
Should have taken the absolute value
Actual length = 3.5 centimeters
Step-by-step explanation:
Length is always a positive value or zero
So one should take the absolute value which is always positive
|-3.5| = 3.5 where the | | denotes absolute value of what is enclosed
HELP HELP !!!! ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
40
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2.5g²
g = 4
Step 2: Evaluate
Substitute: 2.5(4)²Exponents: 2.5(16)Multiply: 40Answer:
40
Step-by-step explanation:
2.5g^2
2.5(4)^2
2.5(16)
40
WILL MARK BRAINLIEST DUE NOW!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,
Match each linear model to its inverse.
+2
y = -10 + 2
y = -x +
y =
- 2
Linear Model
Inverse
32 - 4y = 6
4x + 3y - 6
3x + 4y =-
42 - 3y -
Answer:
Min nikaribû bixwîne biborîne
Step-by-step explanation:
Andrea wants to mark off a quarter-mile course for a race, but all she has is a yardstick. There are 1,760 yards in a mile. How many yards does Andrea need to measure for her race course?
According to the given statement Andrea have to mark 440 yards out of 1760 for her race course.
The yard is defined as:A yard (yd) is a length unit used in various different systems, including US customary measures, Imperial units, and historic English units. It is 3 feet, 36 inches, or 0.9144 meters.
What exactly seems to be the conversion factor?A conversion factor seems to be a number that can be used to multiply and otherwise divide one set of units by another set of units. The right conversion factor must be used when converting to something like an equivalent value. For example, to convert inches to feet, the appropriate conversion value equals 12 inches equals 1 foot.
According to the given information:Want quarter-mile course for a race.
Total yards she has is a = 1760
We know that:
1 mile = 1760 yards
quarter-mile (.25) which means = 1760/4
= 440 yards
According to the given statement Andrea have to mark 440 yards out of 1760 for her race course.
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What does a midpoint of a line segment create? a) a point that is equidistant to all points on the segment b) two line segments of equal length c) a point equidistant from the two endpoints
The option b and c is correct.
To solve this problem we must be aware of the concepts of line segment. And also what is a mid point.
When we connect two dots or two points it forms a line segment or we can say that line segment is part of line which is bounded by two points.
Mid-point of any line or line segment is that point which divides the line segment into two equal parts and also a point which is equidistant from the two endpoints.
So, a midpoint of a line segment divides the line segment in two equal parts and is also equidistant from the two endpoints.
Here, the appropriate option is b and c.
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In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.
3 out of 12
1 out of 4
yea hopefully correct
Translate the phrase into an algebraic expression.
The product of y and 4.
Step-by-step explanation:
Product is multiplication:
4y
Evaluate 32 + (8 - 2)· 4-(1 point)
Answer:
38
Step-by-step explanation:
This can be simplified by first checking the operational signs present in the question and the rule goes BODMAS so you add before you subtract so 32+8 = 40-2= 38 thank you
HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
24 games can be played for $20
Answer:
20 ≥ 8 + 0.50g
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
What is 160/11 as a whole number
Answer:
14 6/11
Step-by-step explanation:
Please help its easy!
The table shows the location of four cities relative to sea level.
Which city is closest to sea level? Explain.
City Location Relative to Sea Level
A –0.25 meter
B 74 meters
C −32 meters
C 0.5 meter
City A; –0.25 is closest to 0 on a number line.
City B; 74 has the greatest absolute value.
City C; −32 is farthest from 0 on a number line.
City D; 0.5 has the least absolute value.
Answer:
The correct answer is City D.
Step-by-step explanation:
When you say the phrase, "closer to sea level" you mean the closest to the very top of the sea, like "0" on a number line.
This means, that whether it is to the left of the right of the number line (or above or below the sea) whichever one has the lowest absolute value is the closest.
Therefore, the correct answer is City D.
Hope this helps! :D
517 37/50+312 3/100 =?
Answer:
516 38/60+ 3/200= oo.15
A manufacturing plant makes belts for appliances. On Wednesday, they produced belts with diameters 1 3/2 in., 7/16 in., 3/4 in., 5/8 in., and 1 5/16 in. Drag the fractions to order them from least to greatest.
Answer:
[tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.
Step-by-step explanation:
Diameters of the belt produced are given in fractions which can be converted to decimals to know their values.
Thus,
1 3/2 in. = [tex]\frac{5}{2}[/tex] in. = 2.5 in.
7/16 in. = 0.4375 in.
3/4 in. = 0.75 in.
5/8 in. = 0.625 in.
1 5/16 in. = [tex]\frac{21}{16}[/tex] in. = 1.3125 in.
Arranging the vales from least to greatest, we have;
0.4375 in., 0.625 in.,0.75 in., 1.3125 in., 2.5 in. = [tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.
Write a function called height_range that accepts a list of integers representing heights in inches as an argument and returns the the difference between the tallest height and the shortest height. Assume that all heights are positive values.
The following function height_range in python language will accept a list of integers and return the difference between the tallest and shortest height.
What is a python programming language?Python is a well-liked computer programming language used to build websites and software, automate procedures, and conduct data analysis. Since Python is a general-purpose language, it may be used to create a wide range of applications and isn't specifically designed to address any particular problems. Because of its high-level built-in data structures, dynamic typing, and dynamic binding, it is appropriate for Rapid Application Development as well as for use as a scripting or glue language to connect existing components.
Given that, the Function should accept a list of integers as arguments, and the return type should be an integer value which is the difference between the maximum and minimum element from the list function will be:
def height_range(L):
shortest = min(L)tallest = max(L)return tallest - shortest
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what is the the slope of the line through (2, -2) and (9, 3)
Answer:
slope is m= 5/7
Step-by-step explanation:
m= y2-y1/x2-x1
m= 3-(-2)/ 9-2
m= 5/7
Slope = change in Y over change in X
Slope = (3- -2) / (9 - 2)
Slope = 5/7
Let logp/n=5 and logm/n=9
Answer:
we know that
log (P/N) = log P - log N
so
log P - log N = 5----------------> equation 1
log (M/N) = log M - log N
so
log M - log N = 9 ------------------> equation 2
If you subtract equation 2 from equation 1,
you have
log M - log P = 4
That means that log (M/P) = 4 ----> 10^4 = M/P ---> M = 10000P
the answer is
the relationship between P and M is
M = 10000P
A Liberian sorts 350 books at a constant role. After a days, the librarian still has 150 books to son, How much time does it take to sort the books from start to
finish
Answer: 7 days
Step-by-step explanation:
Books already sorted;
= 350 - 150
= 200
Time taken = 4 days
Rate = 200/4
= 50 books a day
150 books remain;
= 150/50
= 3 days
Total time = 4 + 3
= 7 days
Which of the following statements is true?
a.
b.
c.
d.
Answer:
confused on what you are asking
Step-by-step explanation:
1) Johnny has $15 to spend on songs and podcasts. He wants to download at least 5 items. Songs cost $1.99 each and podcasts cost $0.75 each. Represent the scenario as a system of inequalities.
A. x+y≥5
1.99x+0.75y≤15
B. x+y≤5
1.99x+0.75y≥15
C. x+y≥15
1.99x+0.75y≤5
D. x+y≤15
1.99x+0.75y≥5
2) When solving the following system using elimination, which of the following will allow you to get opposites?
−4x+9y=9
x−3y=−6
A. Multiply the second equation by -3.
B. Multiply the second equation by -4.
C. Multiply the second equation by 3
D. Multiply the second equation by -1.
3) When solving the following system using elimination, which of the following will allow you to get opposites?
−4x−15y=−17
−x+5y=−13
A. Multiply the second equation by -4.
B. Multiply the second equation by 4.
C. Multiply the first equation by -4.
D. Multiply the first equation by -1.
Answer:
D then B then C
Step-by-step explanation:
sorry if wrong
HELPPPPP ITS AN EMERGENCY!!!!!!
Answer:
Perpendicular lines
Step-by-step explanation:
The graph below shows the lines when connected.
Determine whether the ordered pair is a solution of the linear inequality.
x ≤ 3; (–2, 6)
Answer:
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Step-by-step explanation:
Given the linear inequality
x ≤ 3
substitute the value of x = -2
-2 ≤ 3
TRUE
It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.
Also,
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
simplify (3+4i)-(4-2i)
Answer:
-1 + 6i
Step-by-step explanation:
Complex number addition & subtraction:Subtract/add the imaginary parts and then add real parts.
Open the parenthesis by multiplying the each term of 4 - 2i by (-1)
3 + 4i - (4 - 2i) = 3 + 4i - 4 + 2i
= 3 - 4 + 4i + 2i
= -1 + 6i
AHH PLEASE HELP PLEASE HELP PLEASE ASAP!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!
Which statements are true? Check all that apply.
3
0-2.5=-22
2.
1
-1.5> -0.5
-0.50
-2.5<-2
0
0 12
> 1.5
-1
-2
-3
Answer:
1. -2.5 = -2 1/2
3. -0.5 < 0
4. -2.5 < -2
Jessica purchased a prepaid phone card for $25. Long distance calls cost 19 cents a minute using this card. Jessica used her card only once to make a long
distance call. If the remaining credit on her card is $16.26, how many minutes did her call last?
Answer: 27.27 seconds?
Step-by-step explanation:
25 - 16.26 = 8.74
19/8.74 = 2.2 (Rounded up)
60/2.2 = 27.27
Someone can help me with this?
Answer:
D) 121 degrees
Step-by-step explanation:
A linear pair is a pair of angles that share a side and a base. In other words, they are the two angles created along one line when two lines intersect. Linear pairs are always supplementary.
In this case, since supplementary angles add up to 180 degrees, we set up an equation:
<A+<B=180
(6x-19)+(11x-22)=180
17x-41=180
17x=221
x=13
Now we plug in x=13 for angle B:
11x-22
11(13)-22
143-22
121
Therefore, the measure of angle B is 121 degrees