The solution of the 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, it is a finite set of equations for which common solutions are sought.
WE have given simultaneous equations as;
y = x^2 ...(i)
y = x + 6 .....(ii)
Now Equating (i) and (ii) we get,
x^2 = x + 6
or, x^2 - x - 6 = 0
Then 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
Now Putting x = 2, 3 in equation (i) we get;
y = 2^2
y = 4
and,
y = 3^2
y = 9
Thus, y = 3,9
Hence the solution of the simultaneous equations are x = 2, 3 and y = 3,9.
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sally paid $3.50 for 7 apples. write an equation to represent the total cost y of buying x apples
Answer:
24.5 = 3.50 * 7
Step-by-step explanation:
I used multiplication.
Answer:
y=x+b
3.50=7x
Step-by-step explanation:
7 is how many apples sally bought
it is $3.50 for 7 apple so $3.50 is y
7 times the price for one apple is $3.50
which also means each apple is $0.50
in a balloon it was notices that the pressure, in atmosphere (atm), was inversely proportional to the square root of the height, in metres. when the balloon was at the height of 25m,tge pressure was 1.44atm. what was the pressure at a height of 9m?
It was discovered that the pressure in atmospheres (atm), when applied to a balloon, was inversely related to the height in meters, squared root. The pressure was 1.44 atm when the balloon was 25 meters height in the air. What was the pressure like at a 9-meter height?
The pressure is 2.4 atm when the height is 9m.
Inversely proportion means when one variable is directly proportional to the reciprocal of the other, there is an inverse fluctuation between the two variables. In other words, the two variables' product has a fixed value. Therefore, as one variable rises, the other falls.
Here, We take pressure of atmosphere as P and the height of the balloon as H.
Given that, The pressure of atmosphere was inversely proportional to the square root of the height.
We write this as [tex]P[/tex]∝[tex]\frac{1}{\sqrt{H} }[/tex].
Taking constant of the proportionality as k.
[tex]P[/tex]=[tex]\frac{k}{\sqrt{H} }[/tex].
We have, The pressure was 1.44 atm when the balloon was 25 meters height in the air.
P=1.44 and H=25
[tex]1.44=\frac{k}{\sqrt{25} }[/tex].
[tex]1.44=\frac{k}{5}[/tex]
[tex]k=5\times1.44[/tex]
[tex]k=7.2[/tex]
Now [tex]P=\frac{7.2}{H}[/tex]
We have to find If H is 9m then what is P?
[tex]P=\frac{7.2}{\sqrt{9} }[/tex]
[tex]P=\frac{7.2}{3}[/tex]
[tex]P=2.4\\[/tex]
Therefore, The pressure is 2.4 atm when the height is 9m.
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What is 2-3-7-9-6-7-8-6-5-7-7
Answer:-61
Step-by-step explanation:
Answer:
2-3-7-9-6-7-8-6-5-7-7=-63
Step-by-step explanation:
Hope it helps!!!
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Use the following statement to answer questions 10-16.
If a number is greater than -500, then the number is greater than 500.
Determine the truth value of the conditional statement. Explain.
The truth value of the conditional statement is false
How to determine the truth value of the conditional statement?
The conditional statement is given as
“If a number is greater than -500, then the number is greater than 500.”
The above conditional statement is false
This is because not all numbers greater than -500 are greater than 500
for example 450 is greater than -500, but less than 500 that is the number between -500 and 500 will not satisfy the above statement.
Hence, the truth value of the conditional statement is false
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61= -9c +7
its asking to solve c please help :)
Answer:
c = -6
Step-by-step explanation:
add 9c to both sides to get 61 + 9c = 7
subtract 61 from both sides to get 9c = -54
divide by 9 to get c = -6
Help meee pls hhhh help answering now
Answer:
3/8
Step-by-step explanation:
hope this works for you :)
Answer:
the answer is 3/8
Step-by-step explanation:
5/8 + 3/8 = 1
?
Levi earned a score of 710 on Exam A that had a mean of 700 and a standard
deviation of 25. He is about to take Exam B that has a mean of 200 and a standard
deviation of 50. How well must Levi score on Exam B in order to do equivalently well
as he did on Exam A? Assume that scores on each exam are normally distributed.
Normal Distribution - Equivalent Scores
Sep 16, 8:06:22 AM
Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A
How well must Levi score on Exam B in order to do equivalently well as he did on Exam A?The given parameters are:
Exam A
Score = 710
Mean = 700
Standard deviation = 25
Exam B
Mean = 200
Standard deviation = 50
The z-score is calculated as
z = (Score - Mean)/Standard deviation
For exam A, we have
z = (710 - 700)/25
z = 0.4
For exam B, we have
z = (Score - 200)/50
Substitute z = 0.4 in z = (Score - 200)/50
0.4 = (Score - 200)/50
This gives
Score - 200 = 20
Add 200 to both sides
Score = 220
Hence, Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A
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Construct a relative frequency histogram for tuition and fees for students at public four-year colleges. write a few sentences describing the distribution of tuition and fees, commenting on center, spread, and shape.
What is the measure of ∠ADB? WILL CHOOSE THE BRAINLIEST ANSWER!
Answer: A
Step-by-step explanation:
Angles on a straight line must add up to 180 so angle BCA is 180-132=48
Because the triangle BAC is an isosoles angle BCA and ABC must be the same so 48
We can now use the angle on a straight line rule to figure out angle DBA 180-48=132
We know that triangle DBA is an isosoles trianlge so and x and DAB must be the same and both be x, and we know that angles in a triangle add up to 180 so the equation can be written as:
180=2x+132
48=2x
x=24
The study participants were divided into four groups-two groups received the Power Pill
(Group A and Group B) and two groups received a placebo (Group C and Group D). The effects
of the Power Pill were measured. One group that received the Power Pill (Group A) and one
group that received the placebo (Group C) were told of the anticipated effects of the Power
Pill-accelerated hair growthwhile the other two groups (Group B and Group D) were not
provided with this information. All four groups were told to monitor and report any physical
changes during the study.
Results were reported and participants were grouped as to either "Saw Results," meaning that
participants reported increased hair growth as part of physical changes during the study, or "No of
Results," meaning that increased hair growth was not mentioned as part of physical changes
during study.
Results are as follows:
6 in Group A saw results.
7 in Group B saw results.
5 in Group C saw results.
4 in Group D saw results.
Part 1:
Create a two-way table for the data and find the probabilities for each group. Describe results
in
terms of the study.
Answer: L
Step-by-step explanation:
Given directed line segment cd, if point e divides cd three-fourths of the way from c to d, find the coordinates of e.
The coordinates of point E is (-2, -1.5)
How to determine the coordinates of point E?
see in the file attached below
The given parameters are
C = (1, 6)
D = (-3, -4)
The ratio 3/4 can be represented as:
m : n = 3 : 1
So, the coordinate of point E is
E = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)
Evaluate
E = 1/(4) * (-8, -6)
This gives
E = (-2, -1.5)
Hence, the coordinates of point E is (-2, -1.5 )
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5^4 times 3^3/5^2 times 3^2
Power is the result of multiplying same number for n number of times. The value of the given expression when simplified is equal to 75.
What is power?Power is the result of multiplying same number for n number of times. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be simplified as shown below.
(5⁴ × 3³) / (5² × 3²)
= (625 × 27) / (25 × 9)
= 16,875 / 225
= 75
Hence, the value of the given expression when simplified is equal to 75.
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The endpoints of CD are C(3,
5) and D(7, 9).
The coordinates of the
midpoint M of CD are
Answer: M(5,7)
Step-by-step explanation:
[tex]\displaystyle\\C(3,5)\ \ \ \ \ D(7,9)\ \ \ \ \ M(x_M,y_M)=?\\\\M(x_M,y_M)=(\frac{3+7}{2},\frac{9+5}{2})\\\\ M(x_M,y_M)=(\frac{10}{2},\frac{14}{2} )\\\\ M(x_M,y_M)=(5,7)[/tex]
The empty gas tank of a motor boat is to be fllled. The tank is shaped like a rectangular prism with length 30cm, width 24cm, and height 18cm. Suppose gas Is pumped into the tank at a rate of 864cm^(3) per minute. How many minutes does it take to fill the empty tank?
Answer:
Step-by-step explanation:
volume of the tank:
30cm*24cm*18cm
12960cm^3
rate=amount/time
time=amount/rate
time=12960cm^3/864cm^3/min
time=12960/864 min
time=15min
a rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5)
The equation used is 50 = (2w + 5) × w which can be used to find its width, w.
According to the question we are Given,
Length of rectangle = 5 inches more than its width
Area of rectangle = 50sq. inches
Let width of rectangle = w
So, According to the question,
length = 2w + 5
Area of rectangle = Length × Breadth
50 = (2w + 5) × w
So, our required equation is 50 = (2w + 5) × w
How can we describe the area of rectangle as?The quantity of space occupied by a flat surface with a specific form is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that may fit within a rectangle called its area. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular forms.
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Hi, please answer
is 1/24 and 7/19 equivalent????
please thank yoooouuuu
Answer:No this is not equivalent.
Answer:
No
Step-by-step explanation:
Both fractions have been simplified as much as possible and aren't the same. They are not equivalent for this reason.
I wasn't entirely sure how to explain this but I hope this helps!
ALGEBRA!!!!
Determine whether each relation represents a
function. For those that are functions, state the
domain and range.
a. {(1,4), (2,5), (3,6), (4,7))
b. {(1,4), (2,4), (3,5), (6,10))
c. {(-3,9), (-2,4), (0,0), (1,1), (-3,8)}
Among the given relations {(1,4),(2,5), (3,6), (4,7)} represents a function.
Given three options as under:
1) {(1,4), (2,5), (3,6), (4,7)}
2) {(1,4), (2,4), (3,5), (6,10)}
3) {(-3,9), (-2,4), (0,0), (1,1), (-3,8)}
We are required to choose the relation which represents a function.
Function is basically from a set X to a set Y assigns to each element of X exactly one element of Y.
Among the given options the relation which is a function is
{(1,4),(2,5), (3,6), (4,7)} because the other options have two values for one value of x or one value is giving two values of y which is opposite to the characteristics of a relation to be a function.
Hence among the given relations {(1,4),(2,5), (3,6), (4,7)} represents a function.
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2. If a car ragistration number have four symbols the first two of which are
letters and the remainder digits.how many different registration numbers
can be made?
Oa)58500
Ob)62250
Oc)63375
O d)65515
The correct option is a)58500.
The number of different registration number possible when the repetition is not allowed is 58500.
What is meant by the term combination?Selections are another name for combinations. Combinations are the selection of items from a given set of items.
We need not aim to arrange anything here. We intend to choose them. The number of distinct x-selections or combinations from a set of n objects is denoted by ⁿCₓ.Now, according to the given question;
The total number of digits mentioned on the number plate is 4.
The first place is to be filled by letter.
We know that there are total 26 letter. So, there are total 26 possible ways in which the place is filled.
Now, the second place is also to be filled by the letter, but now the letter left are 25. Thus, possible fillings is by 25 letter.
The third position is to be filled by number; there are 10 number (0 - 9) by which the position can be filled.
The fourth position is also to be filled by the number; but now the numbers left are 9.
Thus, the total combination is;
= 26×25×10×9
= 58500
Therefore, there are 58500 possible ways in which the number plate can be formed.
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There are 4,500 pounds of fruit in John's store. 1,200 pounds
of the fruit is apples and half as much is mangoes. The weight
of pears is three times the weight of mangoes. If the rest of the
fruits are grapefruits, what is the total weight of grapefruits?
pounds
50 points if you answer! + brainliest
Answer:
8/3
Step-by-step explanation:
Divide 8/3
Answer:
Option D: 8/3
Step-by-step explanation:
(2 x 3 + 2)/3 = 2 2/3
(6 + 2)/3 = 2 2/3
8/3 = 2 2/3
Find the surface area of the cylinder (I've been crying for 3 days because I can't get over this problem!)
Answer:
SA = 301.44 in²
Step-by-step explanation:
SA = 2πr² + 2πrh ← factor out 2πr from each term
= 2πr(r + h)
substitute r = 4 and h = 8
SA = 2π × 4 × (4 + 8) ← substitute π = 3.14
= 2 × 3.14 × 4 × 12
= 6.28 × 48
= 301.44 in²
Michael downloaded 16 apps on his iPhone in 12 seconds? At this rate, how many apps can he download in one minute? (12 seconds = 1/5 minute)
A perimeter of 400.8 meters the length is 182.5 meters .
Answer: 17.9 meters
Step-by-step explanation:
400.8 meters perimeter,
182.5 meters length,
So, Width= (400.8/2)-182.5
Width= 17.9 meters
| 5)
order
22, 37, 19, 25, 37, 51, 82
Mean
Mode
Median
Range
Answer:
Mean:39
Mode:37
Median:37
Range:82-19=63
HELP ASAP PLEASE
Which of the following properties could you use to solve 3/4t < 4 for t in one step? Select all that apply.
subtraction property of inequality
addition property of inequality
division property of inequality
multiplication property of inequality
Answer: t = 1.33333
Step-by-step explanation:
Answer: division property of inequality
Step-by-step explanation:
you would devide 3 by 4 which is 0.75 then add you varible. Thats 0.75t that means that 0.75t is less than 4
3. A focus group was formed to provide opinions for a target market. What type of data is being collected from the focus group?
Qualitative data is being collected from the focus group.
Given that, a focus group was formed to provide opinions for a target market.
What is a focus group?A group of people assembled to participate in a discussion about a product before it is launched, or to provide feedback on a political campaign, television series, etc.
Focus group used to gather qualitative data and in-depth insights, they enable researchers to collect information on anything from products and services to beliefs and perceptions in order to reveal true customer attitudes and opinions.
Therefore, qualitative data is being collected from the focus group.
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Jacob signs up to work for 2 5/8 hours at the school carnival. If each work shift is 3/4 hour, how many shifts will Jacob work
3 full shifts of 3/4 hour and 1 half shift of 3/4 hour
Shift work is an employment strategy intended to utilize or give service during each of the seven days of the week's full 24 hours. The day is often divided into shifts, predetermined times when various groups of workers carry out their tasks.
Total work hours = 2.625 hours
Each shift = 0.75 hr
Number of shifts = Total work hours / Each shift
= 2.625 / 0.75
= 3.5
Therefore, He worked three full shifts of three hours each and one half-shift of three hours.
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slope intercept form of -5/6x+4
The slope of equation y = -5/6 x + 4 is -5/6 and the slope-intercept form of -5/6x+4 is y = -5/6 x + 4
The slope of a function y = f(x) is given by a formula
slope = y2-y1 / x2- x1
where ( x1 , y1) and (x2, y2) are coordinates of any two points on the line of graph representing y = f(x)
Or we can simply use the slope-intercept form
y = mx+ c
where m is the slope of the given equation and c is the constant
so, in the given equation y = -5/6 x + 4
slope of the equation is -5/6
Hence, The slope of equation y = -5/6 x + 4 simply is -5/6 and the slope intercept form of -5/6x+4 is y = -5/6 x + 4
When you know the slope of the line to be investigated and the point given is also the y intercept, you can utilize the slope intercept formula y = mx + b. (0, b). The y value of the y intercept point is represented by b in the formula.
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What is the length of x
Answer:
TN/TS=NM/RS
[tex] \frac{240}{120} = \frac{x}{70 } \\ 120x = 16800 \\ x = 140[/tex]
[tex]x(2x + 5) = 3 \\ 2x {}^{2} + 5x = 3[/tex]
can somoeone help me ..urgent
x(2x+5) = 3 and 2x²+5x = 3 are equivalent algebraic expression.
Equivalent expressions are those expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). They are same but looks different.
Given that, x(2x+5) = 3 and 2x²+5x = 3 and we have to conclude how both expressions are related to each other.
Let's procced to solve this.
x(2x+5) = 3 ..............(1)
2x²+5x = 3 ...............(2)
Now, solving equation (1), we get
x(2x+5) = 3 ⇒2x²+5x = 3, which is equation (2)
So, when we solve equation (1), we get equation (2) and vice-versa.
Hence, x(2x+5) = 3 and 2x²+5x = 3 are equivalent algebraic expression.
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