1_.the quadratic should have an exponent of which: 1,2 , or 3?
2_.the parabola ending its life going down should have a leading coefficient sign of positive or negative?
3._which would be the correct equation: y=x^2 or y=-x^2?
Answers
A quadratic function should have an exponent of 2, a parabola ending its life by going down should have a leading coefficient sign of negative, and either y = x^2 or y = -x^2 can be a valid equation for a quadratic function, with the choice depending on the direction of the desired parabola.
1. The quadratic should have an exponent of 2, as a quadratic is a polynomial of degree 2.
2. A parabola ending its life by going down should have a leading coefficient sign of negative, as this indicates that the quadratic term has a negative coefficient and the parabola opens downwards.
3. Both equations, y = x^2 and y = -x^2, are valid equations for a quadratic function. The main difference between them is the direction in which the parabola opens. The equation y = x^2 represents a parabola that opens upwards, while y = -x^2 represents a parabola that opens downwards. The choice of which equation to use depends on the specific context and the direction of the desired parabola.
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Related Questions
Find the surface area of the square pyramid shown below.units 2 Base 4 Height 3
Answers
To solve;
we will use the formula;
\(A=a^2+2a\sqrt[]{\frac{a^2}{4}+h^2}\)where a is the base and h is the height
From the diagram, a = 4 and h=3
substituting into the formula;
\(A=4^2+2(4)\sqrt[]{\frac{4^2}{4}+3^2}\)\(A=16+8\sqrt[]{4+9}\)A= 16 + 8√13
A= 16 + 28.8444
A=44.844 units²
Pls help with steps, will give brainliest.
Answers
Answer: 36/a^2b
Step-by-step explanation:
Starting with the question 4a^3b^-2*9a^-5b
Since we have multiplication we multiply our numbers and add exponents
So
4*9=36
and exponents
3+-5=-2
-2+1=-1
So 36a^-2b^-1
BUTTT because we absolutely CANNOT have negative exponents we put them in the denominator to make them positive so our final answer is
\(\frac{36}{a^2b}\)
Gonzalez Manufacturing borrowed $21000. Part of the money was borrowed at 10%, part at 12%, and part at 14%. The total amount borrowed at 10% and 12%
was twice the amount borrowed at 14%. Find the amount borrowed at each rate if the annual interest was $2580
How much money was borrowed at 10%?
How much money was borrowed at 12%?
How much money was borrowed at 14%?
Answers
Answer:
10% — $550012% — $700014% — $8500Step-by-step explanation:
You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.
EquationsThe relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...
x + y + z = 21000 . . . . . . total borrowed
0.10x +0.12y +0.14z = 2580 . . . . . . total interest
x + y = 2z . . . . . . . . . . . relationship between amounts
Writing the last equation as ...
x -2y +z = 0
we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...
10% — $550012% — $700014% — $8500__
Additional comment
Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...
x + y = 140000.10x +0.14y = 1740These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)
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The table shows the number of the free throws each player made during the last basketball season determine if each statement is true or false
Answers
Answer:
True
Step-by-step explanation:hi
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x+10y=800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?
55
60
130
150
Answers
Answer:
60
Step-by-step explanation:
Substitute 50 for y in the formula
5x+10y=800
5x+10*50=800
5x+500=800
5x=800-500
5x=300
x=300/5
x=60
Answer:
60
Step-by-step explanation:
5x+10y = 800
5x+10(50) = 800
5x+500 = 800
5x = 800-500
5x = 300
x = 300/5
x = 60
60 small vehicles were washed in total.
proof: 5x+10y = 800
5(60) +10(50) =800
300 + 500 = 800
800 = 800
Hope this helps uwu
The perimeter of Suzanne's rectangular garden is 40 yards. The length of the garden is 12 yards. What is the area of Suzanne's garden? square yards
Answers
Answer:
96 sq yards
Step-by-step explanation:
40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area
Solve the system using elimination.
X + 7y = 25
2x - 7y = -13
Answers
Answer:
Step-by-step explanation:
what two numbers can multiplied together and get 24 and those same two numbers get added to each other and get -4?
Answers
Please provide explanation.
Answers
Answer:
100 square meters
Step-by-step explanation:
\( {x}^{2} + 6x + 8x = 240\)
\( {x}^{2} + 14x = 240\)
\( {x}^{2} + 14x - 240 = 0\)
\((x - 10)(x + 24) = 0\)
\(x = 10\)
x = -24 will not work (it is extraneous).
\( {x}^{2} = 100\)
So the area of the square region is 100 square meters.
Plot the x-intercept of the function f(x) = (x + 4)².
y
-6 -4 -2
10
Intro
8
6
4
2
2 4
Click or tap the graph to plot a point.
6
x
x
y
Answers
By graphing a plot point using the x-intercept form, the function (x + 4)2 is shown to be x2 + 16 + 8x.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
(x + 4)²
= x2 + 16 + 8x
By graphing a plot point using the x-intercept form, the function (x + 4)2 is shown to be x2 + 16 + 8x.
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The temperature in Toronto was 14 F. The temperature that same night fell to -5 F. What was the difference in temperatures?
A.) 9 degrees
B.) 11 degrees
C.) 19 degrees
D.) 21 degrees
Answers
Answer:
a 9 degrees
Step-by-step explanation:
so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9
I need help with THIS
Answers
Answer:
1) 10x
2)360-(5x+20)-10x-(7x-8) (I think?)
3) 7x-8
4) 5x+20
Step-by-step explanation:
Answer:
x=15.8degrees
Step-by-step explanation:
10x+5x+7x+20-8=360
22x+12=360
=22x=360- 12
22x=348
x=15.8 degrees
The equation of line s is x + 8y = –8 . Parallel to line s is line t , which passes through the point (5, –1) . What is the equation of line t ?
Answers
Explanation:
If we're given an equation in the form Ax+By = C, then the equation Ax+By = D is parallel to the given line. Note the repeat of Ax+By. The only difference is that the right hand side is something else.
For x+8y = -8, anything parallel to this is x+8y = D
Plug in the given point (x,y) = (5,-1) to compute D
x+8y = D
5+8(-1) = D
5-8 = D
-3 = D
D = -3
Therefore the equation x+8y = -3 is parallel to the given line.
A rectangular photograph is 8 inches by 10 inches. It will be put into a rectangular frame that is 2 inches wide on all sides. What is the area of the photograph when it is put into the
frame?
Answers
Answer:
the area of the photograph when it is put into the frame is 80 square inches, and the area of the frame is 88 square inches.
Step-by-step explanation:
Answer: 36 inches(2)
Step-by-step explanation:
Tins of milk each of volume 77cm^3 and weight 170g
were packed into an empty carton of volume 1540cm^3
and weight 5ooo g.
How many tins of milk can be packed to fill the carton ?
What is the weight of the carton when packed with the tins of milk?
Answers
Answer:
1. 20 tins of milk
2. Weight of the Carton = 8,4kg ot 8400g
Step-by-step explanation:
Given
Volume of a Tin = 77cm³
Weight of a tin = 5000g
Volume of Empty Carton = 1540cm³
Weight of Empty Carton = 5000g
Calculating the number of tins of milk
To do this, we have to make use of the given volumes;
And this is done as follows;
\(Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}\)
Substitute 77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton
\(Number = \frac{1540cm^3}{77cm^3}\)
\(Number = 20\)
Hence, 20 tins of milk will filled the empty carton
Calculating the weight of the Carton after filled with tins of milk
This is calculated as thus;
Total Weight = Weight of Empty Carton + Weight of Tins of Milk
Substitute 5000g for Weight of Empty Carton
Total Weight = 5000g + Weight of Tins of Milk
_________________________________________
Calculating Weight of Tins of Milk
Since 20 tins of milk will fill the empty carton, the
Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk
Weight of Tins of Milk = 20 * 170g
Weight of Tins of Milk = 3400g
_________________________________________
Substitute 3400g for Weight of Tins of Milk
\(Total\ Weight = 5000g + 3400g\)
\(Total\ Weight = 8400g\)
In Kilograms:
\(Total\ Weight = 8.4kg\)
Write an equation in slope-intercept form for the line that passes through (6, 6) and is perpendicular to -x+3y= -6
Answers
Answer:
y= -3x+24
Step-by-step explanation:
First find the slope of the line
-x + 3y = -6
Add x to each side
3y = x-6
Divide by 3
3y/3 = 1/3 x -6/3
y = 1/3x -2
The slope is 1/3 since it is in the form y = mx+b where m is the slope
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
m = -1 * 3/1
m = -3
The slope of the perpendicular line is -3
Slope intercept form is
y = mx+b where m is the slope and b is the y interceot
y = -3x+b
We have a point ( 6,6)
6 = -3(6) +b
6 = -18+b
Add 18 to each side
6+18 = -18+b+18
24 = b
y= -3x+24
Answer:
y= -3x+24
Step-by-step explanation:
hope this helps!
photography the length of a rectangular photograph is 3 inches less than twice the width. a. write a polynomial that represents the area of the photograph. b. find the area of the photograph when the width is 4 inches.
Answers
When the width is 4 inches, the area of the photograph is 20 square inches.
To write a polynomial that represents the area of the photograph, we need to use the formula for the area of a rectangle, which is A = l x w (where A is the area, l is the length, and w is the width).
From the given information, we know that the length (l) is 3 inches less than twice the width (w). So, we can write:
l = 2w - 3
Substituting this expression for l into the formula for the area, we get:
A = (2w - 3) x w
Simplifying this expression, we get:
A = 2w^2 - 3w
This is the polynomial that represents the area of the photograph.
To find the area of the photograph when the width is 4 inches, we simply need to substitute w = 4 into the polynomial we just found:
A = 2(4)^2 - 3(4)
A = 32 - 12
A = 20
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What are the coordinates of the three highlighted points? And what are they in order??
Answers
Answer:
The only points I see one triangle is,
The lower left bottom point: (2,1)
The lower left bottom point: (6,1)
The top middle point: (4,7)
Step-by-step explanation:
jack and Jill's friend join them while dividing the sweets. their mother told them to divide the wine gums equally between the 3 of them. after dividing the paçket of wine gums each of the 3 is given an extra 4 wine gums from another packet. determine the total number of sweets each one has received
Answers
The total number of sweets each one has received is 7.
Solve for total number of sweets each person has receivedIn this case, we can divide the initial 9 wine gums equally between the 3 people, which gives 3 wine gums each.
When they each receive an additional 4 wine gums, the total number of wine gums each person has is:
Jack: 3 + 4 = 7 wine gums
Jill: 3 + 4 = 7 wine gums
Friends: 3 + 4 = 7 wine gums
So each person has received a total of 7 wine gums.
What is word problem?A word problem is a type of mathematical problem that is presented in a narrative or descriptive form, rather than a simple equation or numerical expression.
Word problems require the reader to interpret and extract relevant information from the text, and then use mathematical reasoning to solve the problem.
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The first part of the question is:
Jack and Jill's mother gave them 9 wine gums to share
solve the equation d - 4= -12
d=16
d= - 16
d=8
d= - 8
Answers
3x-2y=6 and 5x-5y=5 Solve each system of equations
Answers
Answer:
x=4 and y=3
Step-by-step explanation:
The graph of a linear function passes through the two given points on the coordinate plane.
(5,12)
(8,21)
What is the rate of change of the function?
Answers
Answer:
2
Step-by-step explanation:
Point c is at (1, 2)
point d is at (2, 4)
rate of change formula
(f(d) - f(c))/2 - 1
f(2) = 4
f(1) = 2
4-2/1 = 2
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Cielo's rectangular prism shaped swimming pool has a side of length 8 yards, width of 6 1/2 yards and height of 3 yards. What is the total volume of the pool?
Answers
Answer:156 Yd ∧3
Step-by-step explanation:
lengthl = 8 ydwidthw = 6.5 ydheighth = 3 yddiagonald = 10.7354553 ydtotal surface areaStot = 191 yd2lateral surface areaSlat = 87 yd2top surface areaStop = 52 yd2bottom surface areaSbot = 52 yd2volumeV = 156 yd3
a ferris wheel has a radius of 70 feet and makes a revolution every 60 seconds, the center of the wheel is 90 feet above the ground. the ferris wheel goes counter clockwise. write an equation to model the height of a rider who starts the ride at the 3:00 position? also what is the amplitude, vertical translation and the period
Answers
help !!!!!!!!!!! please
Answers
Missing side length of the given measures of the triangle is equal to x = 1/2 units (approximately).
As given,
Given measures of the triangle ABC are
Angle A=(18 +18)°
=36°
Consider side opposite to ∠A=a ,∠B=b ,∠C=c
Given side length
AC=b
=20
AB=c
=12
BC=c
=x+12
Using cosine law
cos A= (b²+c²-a²)/2bc
⇒cos36°= [20²+12²-(x+12)²]/2(20)(12)
⇒(1+√5)/4=(544-x²-24x-144)/480
⇒x²+24x-280+120√5=0
⇒x²+24x-11.7=0
Now, x = [-24±√24²-4(1)(-11.7)]/2(1)
= (-24±24.955)/2
≈ (-24 ±25)/2
Hence, x = (-24+25) /2
= 1/2
or x = -24.5 side length cannot be negative.
Therefore, Missing side length of the given measures of the triangle is equal to x = 1/2 units (approximately).
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Jerry is paving the parking spot shown below. It costs $ 50 $50dollar sign, 50 to pave each square meter. Find the cost to pave the parking spot. 6 1 4 m 6 4 1 m 4 m 4 m
Answers
Jerry is paving the parking spot shown in the attached file below.
It costs $ 50 to pave each square meter. Find the cost to pave the parking spot \(6 \dfrac{1}{4}\ m\).
Answer:
$1250
Step-by-step explanation:
From the image attached below;
The paving of Jerry around the parking spot assume a shape of parallelogram.
However, in order to find the cost to pave the parking spot, we need to first determine the area of the assume shape of the parking spot (i.e parallelogram)
Area of a parallelogram = Base × height
where;
the base = 4m
the height = \(6 \dfrac{1}{4}\ m\)
Area of a parallelogram = \(4 \times 6 \dfrac{1}{4}\)
Area of a parallelogram = \(4 \times \dfrac{25}{4}\)
Area of a parallelogram = 25 m²
Since it cost $50 to pave 1 square meter;
∴
The cost to pave 25 m² area of the parking spot is
= 25 × 50
= $1250
Answer:
1250
Step-by-step explanation:
The parking space is in the shape of a parallelogram, so to find the area needed to pave it, you will use the formula for finding area of a parallelogram.
A = 4 x 6 1/4
A = 25 square meters
You will pave 25 square meters.
25 x 50 = 1250
The Jerry will pay $1250.
I need a fast answer !! A bag has 7 blue marbles and 3 red marbles. What is the probability of drawing two red marbles, if the first marble is replaced after it is drawn? A. 1/7 B. 1/3 C. 3/10 D. 9/100
Answers
Answer:
Step-by-step explanation:
9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)
The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.
Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.
To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:
P(drawing two red marbles) = P(red on first draw) × P(red on second draw)
P(drawing two red marbles) = (3/10) × (3/10)
= 9/100
Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.
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Kyo likes to watch anime. He can watch 2 anime shows in about 48 minutes. If Kyo can watch TV without taking a break for 2 hours, predict how many shows Kyo can watch?
Answers
Kyo can watch 5 anime shows in 2 hours without taking a break.
In the given question
In 48 min Kyo watches 2 anime shows
In 1 minute Kyo watches 2/48 anime shows ...(i)
Converting 2 hours to mins , we get
2 hr= 120 min
From (i)
1 min= 2/48 anime shows
120 min = 120*(2/48) anime shows
=120*(1/24)
=10/2
=5
Therefore , Kyo can watch 5 anime shows in 2 hours without taking a break.
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1 Which list shows the dependent quantities in the graph?
Answers
Answer:
lol nnnnnnnnnnnnnnmmoooooooooo╭∩╮(ಠ_ಠ)╭∩╮
Step-by-step explanation:
Given two sets A and B, for each of the following statements, what can you conclude about the sets? For example: consider the statement A - B = 0, this could be possible if- Scenario - 1: A = B Scenario - 2. Since A - B = A - (ANB), we could surmise that (ANB) = A Scenario - 3: A = in which case, no matter what Bis A - B=0. Therefore we can conclude that if A-B=, then one of the above scenarios must be true. Not all of the statements below have three scenarios like the given example. Give at least one conclusion that can be drawn from each statement. (a) AUB= A (b) AnB = A (c) A-B=A (d) AnB = BnA (e) A - B = B-A
Answers
For all the statements, the possibilities and the scenarios are given. Where A or B will be empty set or subset of one other.
A. If Scenario 1: B being a subset of A is true, then AB = A might be plausible.
B. If Scenario 1: A is a subset of B is true, then AB = A might be plausible.
C. If Scenario 1: B is an empty set, A-B=A might be conceivable.
Since B = in this instance, A-B=A under all circumstances.
D. Scenario 1: All the components of A are also present in B may be true if AB = BA is conceivable. Or to put it another way, A and B are subsets of one another.
E. Scenario 1: When A=B could lead to the possibility that A-B= B-A.
In this instance, A-B and B-A will always have the same outcome.
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