I need to find the equation for this.. I keep getting confused please explain
Answers
Lets substitute our given information.
y = a(x-1)^2+5
Now, lets put in the coordinate it needs to pass through.
8 = a(2-1)^2 + 5
8 = a + 5
a = 3
Now, lets make the equation now that we know a.
y = 3(x-1)^2+5
Hope this helps!
Related Questions
Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the equation.
Plot the point _______, move _______ unit(s) down, and _______ unit(s) over to find the next point on the line.
Answers
(y - y1) = m (x - x1)
So, (y + 2) = - 1/3 (x - 4) in the point-slope form is:
[y - (-2) ] = (-1/3) [ x - 4 ]
You must, then realize that the line passes through the point (4,-2) and its slope is - 1 /3.
That slope, -1 / 3, means that the function is decresing (because the slope is negative), and it decreases one unit when x increases 3 units.
Now you can fill in the blanks in this way:
Plot the point (4, -2), move 1 unit down, and 3 units over to find the next point on the line.
What did the math teacher say after spending 8 hours in the ice and snow worksheet answer key?
Answers
Given the question 'A set of 8 desert dishes costs $20. What was the cost of eah dish?'
Let the cost of each dish be x, then
8x = 20
x = 20 / 8 = 2.5
Therefore, the cost of each dish is $2.5
Part 2
Given the question 'Ben and Jerry together owns 24 comic books. If Ben owns 6 comic books, how many does Jerry own?'
Let the number of comic books owned by Jerry be x, then
x + 6 = 24
x = 24 - 6 = 18
Therefore, Jerry owns 18 comic books.
Part 3.
Given the question: 'Hans Klobber sells vaccum cleaners. He gets to keep one eighth of his sales as commission. How much must he sell in order to earn $1,000?'
Let the amount of sales required to earn $1,000 be x, then
1/8 (x) = $1,000
x = 8 times $1,000 = $8,000
Therefore, the amount of sale he must make to earn $1,000 is $8,000.
Part 4.
Given the question: 'On first down, a football team lost 8 yd. After 2 downs, the team had an overall gain of 20 yd. How many yards were gained on secong down?'
Let the number of yards gained on second down be x, then
-8 + x = 20
x = 20 + 8 = 28
Therefore, the number of yards gained on second down is 28 yards.
Part 5.
Given the question: 'After she wrote a check of $240, May Bounce had a balance in her checking account of -$6. What was her balance before she wrote the check?'
Let her balance before she wrote the check be x, then
x - 240 = -6
x = -6 + 240 = 234
Therefore, the balance in her checking account before she wrote the check was $234.
Part 6.
A bank of 8 floodlights together use 1,000 watts of power. How much power is used by each bulb?
Let the amount of power used by each bulb be x, then
8x = 1,000
x = 1,000 / 8 = 125
Therefore, the amount of power used by each bulb is 125 watts.
Part 7.
Given the question: 'Between noon and midnight, the temperature dropped 20°F. If the temperature was -8°F at midnight, what was the temperature at noon?'
Let the temperature at noon be x, then
x - 20 = -8
x = -8 + 20 = 12
Therefore, the temperature at noon was 12°F.
Part 8
Given the question 'If a strawberry pie is divided into 6 equal slice, each slice has 240 calories. How many calories are in the whole pie?'
Let the number of calories in the whole pie be x, then
1/6 (x) = 240
x = 240 times 6 = 1,440
Therefore, the number of calories in the whole pue is 1,440 calories.
Part 9.
Given the question: 'A chest was resting on the ocean floor 1000 ft below the surface. It was lifted to the deck of a ship 8ft above the surface. How far was the chest lifted?'
Let the distance the chest was lifted be x, then
-1,000 + x = 8
x = 8 + 1,000 = 1,008
Therefore, the distance the chest was lifted is 1,008 ft.
Part 10
Given the question: 'When all the kids who tried out for Little League were divided into teams of 20 players, there were exactly 8 teams. How many teams tried out?'
Let the number of kids that tried out be x, then
1/20 (x) = 8
x = 20 times 8 = 160.
Therefore, the number of kids that tried out was 160 kids.
The north american and european continents are moving apart at a rate of about 3 cm/y. at this rate how long will it take them to drift 500 km farther apart than they are at present?
Answers
Distance = velocity x time
500km x 10^5 cm/km= 3cm/year x time
time= 5x 10^7 cm / (3cm/year)
time= 1.7 x 10^7 year or 17 million year
The North American and European continents will take approximately 166,667 years to drift 500 km farther apart than they are at present.
Explanation:The North American and European continents are moving apart at a rate of about 3 cm/y. To determine how long it will take for them to drift 500 km farther apart than they are at present, we can use the formula:
Time = Distance / Rate
First, we need to convert the distance from kilometers to centimeters. There are 100,000 centimeters in 1 kilometer, so 500 km is equal to 500,000 cm.
Using the formula, the time it will take is:
Calculating this, we find that it will take approximately 166,667 years for the continents to drift 500 km farther apart than they are at present.
Two angles of a triangle have the same measure and the third one is 39 degrees greater than the measure of each of the other two. find the measure of the largest angle in the triangle.
Answers
Answer:
Step-by-step explanation:
By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180. If two of the angles are the same, then we will call them x. The third one is 39 more than the measure of each of the other angles, so the third angle measures x + 39. In equation form,
x + x + x + 39 = 180 and
3x + 39 = 180 and
3x = 141 so
x = 47
That means that the largest angle measures 47 + 39 which is 86
Determine the slope of a line perpendicular to the line with equation 6x-4y= 30
Answers
-4y = -6x + 30
y = 3/2x - 15/2....slope here is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So ur perpendicular line will have a slope of -2/3 (see how I flipped 3/2 making it 2/3...and then changed the sign, making it -2/3)
answer : perpendicular line will have a slope of -2/3.
6x - 4y = 30
6x - 30 = 4y
(6/4)x - 30/4 = y
simplify
(3/2)x - 15/2 = y
A perpendicular line will have a reversed slope. Take the negative reciprocal (flip it over, make negative).
slope of perpendicular line: -2/3
Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane?
Answers
The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
Because it tells you the lengths of the trapezoid's bases and height.
For example, the base lengths are as follows:
a - (-a) = a + a = 2a
c - (- c) = c + c = 2c
height: b-d
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The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).
An isosceles trapezoid is a type of trapezoid (a quadrilateral with at least one pair of parallel sides) where the non-parallel sides are congruent (have the same length). The base angles, formed by the intersection of the non-parallel sides and the parallel sides, are also congruent in an isosceles trapezoid.
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
Because it tells you the lengths of the trapezoid's bases and height.
For example, the base lengths are as follows:
a - (-a) = a + a = 2a
c - (- c) = c + c = 2c
height: b-d
Logan has a change jar that contains only pennies and nickels. he has 64 coins which add up to a total of $1.52. how many of each type of coin does he have?
Answers
I need help with number 8,please.
Answers
jose drinks twice as much as yasmine, this means that:
m = 2n ......» equation 1
sally drinks 3 fewer than jose, this means that:
p = m - 3 ......» equation 2
total number of sodas is 72, this means that:
m + n + p = 72 .......» equation 3
substitute by 1 and 2 in 3:
m + 0.5m + m - 3 = 72
2.5m = 75
m=30
substitute in 1:
30=2n ......» n=15
substitute in 2:
p=m-3 ......» p=27
based on these calculations:
jose drinks 30 sodas
yasmine drinks 15 sodas
sally drinks 27 sodas
1. Find a counterexample.
If two angles are complementary, then they are not congruent.
Answers
45 = 45
45 + 45 = 90
Which fraction represents the decimal .12 repeating
Answers
The answer is c.) 4/33
How many different 7-place license plates are possible if the first 3 places are to be occupied by letters?
Answers
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.
Answers
3x(x-12x) + 3x^2 - 2(x-2)^2
First, we will expand the power 2 bracket as follows:
3x(x-12x) + 3x^2 - 2(x^2 - 4x +4)
Then, we will get rid of the brackets as follows:
3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8
Now, we will gather the like terms and add them as follows:
-32 x^2 + 8x - 8
We can take the 8 as a common factor:
8 ( -4x^2 + x -1)
Answer:
It's option
A) the term...
C) after multiplying
D) the parentheses
Step-by-step explanation:
EDG2021
Is this a function?
Answers
There are 4 teams in a basketball league. Each team plays each of the other teams three times. How many games are played?
Answers
each team plays 9 games
( Team 1 plays team 2 3 times, team 3 3 times, team 4 3 times )
9 x 4 = 36 games total
Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.
falls with a constant speed of -10 m/s.
falls with a acceleration of -10 m/s/s
falls under the sole influence of gravity
falls with downward acceleration which has a constant magnitude
Answers
The statement which is NOT true among the given options is the first option - falls with a constant speed of -10 m/s.
In order to the determine which of the statements is NOT true, we will study each of the options one after the other.
For the first option - "falls with a constant speed of -10 m/s"When an object is in a state of free fall, the speed is not constant. The speed actually increases as it moves closer to the ground.
∴ The first option is NOT true
For the second option - "falls with a acceleration of -10 m/s/s"An object that is falling freely, falls under the influence of gravity. Acceleration due to gravity is approximately 10 m/s/s (10m/s²).
Therefore, an object in a state of free fall, falls with an acceleration of -10 m/s/s (The negative sign indicates deceleration, because the object is moving towards the ground).
∴The second option is true
For the third option - falls under the sole influence of gravityAs stated earlier, an object in a state of free fall, falls under the influence of gravity.
∴ The third option is true
For the fourth option - "falls with downward acceleration which has a constant magnitude"
As stated earlier, an object in a state of free fall, falls under the influence of gravity and acceleration due to gravity is approximately 10 m/s/s (10m/s²). This value is constant.
∴ The fourth option is true
Hence, the statement which is NOT true among the given options is the first option, falls with a constant speed of -10 m/s
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PLEASE HELP?
Caitlin Grasso is a salesperson in the kitchen and bath department at Morris Supplies, Inc. She makes 5.5% straight commission on her total sales. What were her total week's sales, if her gross pay was $560?
A. $10,741.82
B. $3,640.00
C. $3,080.00
D. $10,181.82
Answers
1% = 560 / 5.5
100% = 100(560/5.5) = 10,181.82
*rounded
Hope this helps? :)
Answer:
D
Step-by-step explanation:
If her pay is $560, her sales is "something" whose 5.5% is 560.
We can setup the equation below and solve (let total sales be [tex]s[/tex]):
[tex](0.055)(s)=560\\0.055s=560\\s=\frac{560}{0.055}\\s=10,181.82[/tex]
Answer choice D is right.
HELP PLEASE The Appalachian Mountains had what effect on the people of the thirteen original colonies? A) they acted as a barrier to further settlement to the west B) they provided protection to the colonists from invading Indians C) they provided protection to the colonists from Spanish conquistadors D) animals lived there and were an important food source to major cities in the East
Answers
the answer is...
A) they acted as a barrier to further settlement to the west
What is the length of HN
Answers
hn is half the total length
38/2 = 19
I flip a fair coin four times what is the probability that i get more heads than tails
Answers
Convert 9.46 x 10^12 to expanded form
Answers
Which expression represents the phrase "half the sum of 10 and a number"
Answers
i know this is very late but for future people its
1/2 (10 + x)
p: If two out of five people use the subway every day, then the probability of a person using the subway is 0.4.
Answers
2 divided by 5 = 0.4
so that statement is true.
What is the best first step for solving the given system using substitution while avoiding fractions?
2x+6y=7
6x+18y=24
a. Solve for x in the first equation.
b. Solve for y in the first equation.
c. Solve for x in the second equation.
d. Solve for y in the second equation.
Answers
2x+6y=7
6x+18y=24
if we solve for x in first, we get x=-3y+7/2, has fractions so no
if we solve for y in first, we get y=-x/3+7/6, has fractions so no
if we solve for x in the 2nd, we get x=-3y+4, no fractions so yay
if we solve for y in the 2nd, we get y=-x/3+4/3, has fractions so no
answer is C
Solving for x in the first equation get you: [tex]x= \frac{7}{2}-3y [/tex]
Solving for y in the first equation gets you:[tex]y= \frac{7}{6} - \frac{2}{6}x [/tex]
Solving for x in the second equation gets you: [tex]x=4-3y[/tex]
Solving for y in the second equation gets you:[tex]y= \frac{24}{18} - \frac{6}{18}x [/tex]
If you look you can see the only option that does not give you fractions is if you solve for x in the second equation. So your answer is c! I hope this helps! =)
Dan has a flower shop. Each day he displays 24 roses. He gives away 10 and sells the rest. Each day he displays 36 carnations. He gives away 12 and sells the rest. What expression can you use to find out how many roses and carnations Dan sells in in a week.
evaluate the expression to find out how many roses and carnations dan sells in a week
Answers
36 × 7 - (12 x 7)
If the polynomial x5 − 105 can be split as the product of the polynomials x − 10 and a, what is a?
Answers
using synthetic division,
[tex]x^5-10^5=(x-10)(x^4+10x^3+100x^2+1000x+10000). [/tex]
Answer:
Value of a is:
[tex]x^4+10x^3+100x^2+1000x+10000[/tex]
Step-by-step explanation:
we know that:
[tex]x^n-a^n=(x-a)(x^{n-1}+ax^{n-2}+a^2x^{n-3}+...+a^{n-2}x+a^{n-1})[/tex]
Here, a=10 and n=5
[tex]x^5-10^5=(x-10)(x^4+10x^3+100x^2+1000x+10000)[/tex]
[tex]x^5-10^5=(x-10)a[/tex]
⇒ [tex]a=x^4+10x^3+100x^2+1000x+10000[/tex]
Hence,Value of a is:
[tex]x^4+10x^3+100x^2+1000x+10000[/tex]
Jamir spent $15 on Halloween candy. If each bag of candy costs $2.50, how many bags of candy did he buy?
Answers
To find out how many bags of candy Jamir bought with $15, divide the total spent by the cost per bag, which is $2.50. This calculation is similar to finding total spend on fruits by multiplying the quantity by price per unit. Jamir was able to buy 6 bags of candy.
Explanation:To answer the question of how many bags of candy Jamir bought, we need to perform a basic division operation.
The total amount Jamir spent on Halloween candy is $15, and he purchased each bag for $2.50.
Therefore, to find the total number of bags of candy that Jamir bought, we divide the total amount spent by the cost per bag.
Drawing a comparison to similar calculations, if we look at other examples such as spending on fruits, we can see a consistent method of calculation:
10 apples at 50 cents each results in $5.00 spent on apples.
12 bananas at 20 cents each gives us a total of $2.40 spent on bananas.
Similarly, 2 bunches of grapes at 65 cents per bunch would equal a spend of $1.30.
Lastly, if we purchase 1 pint of raspberries at $2 each, we spend $2.00 on raspberries.
The same concept applies to Jamir's Halloween candy purchase. By dividing $15 by $2.50, we get the number of bags he was able to buy, which is 6 bags of candy.
Therefore, Jamir bought 6 bags of Halloween candy with his $15.
Final answer:
Jamir was able to buy 6 bags of Halloween candy for $15, given each bag's price of $2.50.
Explanation:
Jamir spent $15 on Halloween candy, with each bag costing $2.50. To find out how many bags of candy Jamir could buy, we divide the total amount spent by the cost per bag of candy.
The calculation would be as follows:
Divide the total amount spent, $15, by the cost per bag, $2.50.
$15 ÷ $2.50 = 6.
Therefore, Jamir bought 6 bags of Halloween candy.
A science teacher needs to choose 4 students from a class of 20 to go to the library to do some research. How many different groups can he select?
Answers
The number of groups the science teacher can make is 5.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The total number of students is 20.
And, the number of students in one group is 4.
Now, the number of groups can be found using the following operation as,
Number of group = Total students ÷ Number for each group
⇒ 20 ÷ 4 = 5.
Hence, the total number of groups can be obtained as 5.
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Jon places a dot on a coordinate plane at (-10, -4). He wants to place another dot across the y axis, and it must be 14 points away. Where will Jon place the other dot?
Answers
The coordinates of the other dot across the y-axis will be located at (4,-4).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Since the first value corresponds to the horizontal x-coordinate and the second to the vertical y-coordinate, moving horizontally across the y-axis is the result. As a result, you need to multiply the x-coordinate by 14. Since the direction of your first x-coordinate, -10, is positive, you must add. the solution is (4,-4).
Thus, the coordinates of another dot across the y-axis will be located at (4,-4).
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Suppose a number from 1 to 100 is selected at random. what is the probability that a multiple of 4 or 5 is chosen?
Answers
100/4 = 25
100/5 = 20
probability of choosing multiple of 4
25/100 = 1/4
probability of choosing multiple of 5
20/100 = 1/5
the probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice. 5/100 = 1/20
20, 40, 60, 80, 100
when "or" is used, add the probabilities, subtract the duplicates.
1/4 + 15 - 1/20 =
5/20 + 4/20 - 1/20 = 8/20 = 2/5
The probability that a multiple of 4 or 5 is chosen is 2/5.
The range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.
100/4 = 25
100/5 = 20
The probability of choosing a multiple of 4
25/100 = 1/4
The probability of choosing a multiple of 5
20/100 = 1/5
The probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice.
5/100 = 1/20
20, 40, 60, 80, 100
When or is used, add the probabilities, and subtract the duplicates.
1/4 + 15 - 1/20
=5/20 + 4/20 - 1/20
= 8/20
= 2/5
The probability that a multiple of 4 or 5 is chosen is 2/5.
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To which set of numbers does the number -12 belong?
Answers
integers are like -4,-3,-2,-1,0,1,2,3,4 etc
rational numbers are number that can be written in form a/b where a and b are integers and b≠0
real numbes include rational numbers
so integers, rational number and real numbers