Answers
Answer:
[tex]y=-1(x-2)^2+1[/tex]
Step-by-step explanation:
The parabola has the vertex (2, 1) and goes through the point (4, -3).
We will use the vertex form, given by:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h, k) is the vertex and a is the leading coefficient.
Line 1)
So, by substitution:
[tex]\text{Vertex}=(h,k)=(2,1)\Rightarrow y=a(x-2)^2+1[/tex]
Lines 2-4)
Since (4, -3) is a point, y = -3 when x = 4:
[tex]-3=a(4-2)^2+1[/tex]
[tex]-3=a(2)^2+1[/tex]
[tex]-4=4a\Rightarrow a = -1[/tex]
Line 5)
By substitution, we acquire our equation*:
[tex]y=-1(x-2)^2+1[/tex]
Related Questions
graph the line that has a slope of 1/3 and includes the point (3,3)
Answers
Answer:
y=1/3x+2
Step-by-step explanation:
y=1/3x+b
3=1/3(3)+b
3=1+b
-1 -1
2=b
The bottles of juice that Craig usually buys each have x ounces of juice in them. Another company makes bigger
bottles of juice that each have 10% more juice in them than the bottles that Craig usually buys. Craig buys 8
bottles of the bigger size. The total amount of juice, in ounces, he buys is represented by the expression shown
below.
8(x + 0.1x)
Which expression also represents the total amount of juice, in ounces, Craig buys?
Answers
Answer:
27
Step-by-step explanation:
I divided im not 100 percent sure tho
I need help it said
what is the mean of the set of numbers please explain case I don't get it
A 5 feet
B 5 feet 1 inch
C 5 feet 2 inches
D 5 feet 3 inches
E 5 feet 4 inches
F 5 feet 5 inches
Answers
Answer:
Add up all of the numbers in the set and then divide by how many numbers there are.
Step-by-step explanation:
I'm not sure if that's the most conventional way- but it's how I learned.
Here's your set of numbers:
4'11, 5'0, 5'0, 5'1, 5'2, 5'2, 5'3, 5'4, 5'4, 5'4, 5'4, 5'4, 5'5, 5'5, 5'6
And here's that same set of numbers in inches (which is what I'd use to find it out):
59, 60, 60, 61, 62, 62, 63, 64, 64, 64, 64, 64, 65, 65, 66
Which adds up to a total number of 15 numbers in the set.
Add up 59, 60, 60, 61, 62, 62, 63, 64, 64, 64, 64, 64, 65, 65, 66.
That's 943.
Then we divide 943 by how many numbers there are in the set (15).
The mean of your set is 62.8666667.
Round to the nearest whole number, making it 63.
How many feet is 63 inches?
5'3 is your answer. I hope this helped you and I hope it was correct!
This is my last question if you understand this please answer my question.
Answers
Answer:
3. reflective property
4.AE=CE
5.<AED=<CED 5.SSS congruence
What is (-8) times (2/3)?
Answers
Answer:
I thinks it 1/-12
Step-by-step explanation:
42+24n
The factored form is
Answers
GCF = 6
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF):
6(42/6 + 24n/6)
Simplify each term in parentheses:
6(7 + 4n)
DONE !!
The expression 42+24n in factor form is 6(7+4n).
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 42+24n
Forty two plus twenty four n.
We need to factor out the expression.
TO do this we have to find the greatest common factor of 42 and 24
The factor of 42 are 1, 2, 3, 6, 7, 14, 21 and 42
The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
The common factors are 1,2,3, and 6.
The greatest common factor is 6.
S0 the expression in factor form is 6(7+4n)
Hence, the expression 42+24n in factor form is 6(7+4n).
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Mason is building a counter for his uncle. It is going to be 19 1/2 meters long, 8 3/4 meters wide, and 2 meters high. What is the volume of the counter?
Answers
Answer:
Volume of the counter = Length × Width × Height
= 19 1/2 × 8 3/4 × 2
= 341 1/4 cubic metres
A goalie make 12 saves in 3 games. What is the rate of saves per game?
Answers
Answer:
Step-by-step explanation:
No of saves in 3 games = 12
Rate of saves per game = 12 ÷ 3 = 4
The amount of money, y, pizzeria K makes by selling x pizzas can be modeled by the equation y = 13x. The relationship of the amount of money pizzeria L makes is shown in the following graph. Which pizzeria makes more money per pizza?
Answers
Answer:
Step-by-step explanation:
Complete Question:
The amount of money, y, pizzeria W makes by selling x pizzas can be modeled by the equation y = 15x. The relationship of the amount of money pizzeria L makes is shown in the following graph.
Which pizzeria makes more money per pizza?
A. Pizzeria L makes more money per pizza.
B. Pizzeria W makes more money per pizza.
C. They make the same amount per pizza.
Answer:
B. Pizzeria W makes more money per pizza.
Step-by-step explanation:
The proportional relationship showing how amount of money made(y) is related to the amount of pizzas sold (x) for pizzeria W is given by the equation y = 15x.
the constant of proportionality/unit rate, k = 15.
This represents the amount in dollars, made per pizza.
So, Pizzeria W makes $15 per pizza.
For Pizzeria L, using any point on the line, say, (2, 24),
k = y/x = 24/2 = 12.
This represents the unit rate, which is the amount Pizzeria L makes per pizza.
Thus, Pizzeria L makes $12 per pizza.
We can conclude that, Pizzeria W makes more money per pizza.
Answer:
L
Step-by-step explanation:
Write the phrase as an expression. 20 less than the product of −2.5 and a number x
Answers
Answer:
-2.5x-20
Step-by-step explanation:
-2.5x-20
Answer:
-2.5x - 20
Step-by-step explanation:
"20 less than..." means that you are subtracting 20 from something else, and that something else is usually the next thing in the phrase. it's tricky because it's first in the phrase, but in the expression, it will come last, or after the next operation (which, in this case, is "the product of -2.5 and a number x). the key is to pay attention to the wording. "the product of -2.5 and a number x" is something that can stand alone, but "20 less than" depends on something else, so that's generally how you can tell that it's going to be written after something else, if that makes sense.
"...the product of -2.5 and a number x" means that you are multiplying -2.5 and x. "a number x" just means that x is a variable and its numeric value is currently unknown.
so, as an expression, this would be -2.5x - 20. i hope this helps and i hope my explanation made sense lol! have a lovely rest of your day <3
Due in 5 minutes Please
Answers
Answer:
cannot; 39.5
Step-by-step explanation:
a triangle interior angles add up to 180
when adding those measurements together, you get 255.6°
39.5 is the proper measurement
Answer: cannot
Step-by-step explanation:
Graph the function. g(x)=2(x-2)^2+2g(x)=2(x−2) 2 +2
Answers
Answer:
Vertex (the very top/bottom point of the curve) (2,2) the other point youll wnt to plot is (1,4)
Step-by-step explanation:
this is a screenshot
The area of a square is 900 square meters. What is the length (in meters) of one side of the square?
Answers
Answer:
30
Step-by-step explanation:
a square is equal on all sides, area = length x width
900 = 30(length) • 30 (width)
a circular garden has a diameter of 8 yards what is the area of the garden. use 3.14
Answers
Answer: 50.27
Step-by-step explanation:
PLEASE HELP WITH SEVEN AND EIGHT!!!
Answers
"Bisect" means cuts in half perfectly. In other words, 66° = 3x. calculate and you get x=22°
y+10 = 56
y= 56-10
y= 46°
need a quick answer please
Answers
Task 10: It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate:
How many pounds of mashed potatoes can they make with 15 pounds of potatoes?
Answers
Answer:
The answer is 22.5 lbs or 22 and a half lbs of mashed potatoes.
Step-by-step explanation:
The ratio of potatoes is 1.5.
10 lbs potatoes * 1.5 = 15 lbs mashed
So 15 lbs potatoes * 1.5 is: 22.5 lbs mashed potatoes.
HELP ASAP ASPA HELP HELP
Answers
Answer:
proportional READ BELOW
Step-by-step explanation:
so its going by multiplying by 8's bc of the -10
so i think it is
id k tho havent done negatives
please dont sue me if im wrong
what is the diameter of a pond with a area of 4069.44
Answers
Answer:
72
Step-by-step explanation:
Formula: A= 3.14r^2
4069.44^2 = 3.14r^2
(divide both sides by 3.14)
1296=r^2
(find sqr root of 1296)
36=r
to find the diameter with the radius, multiply radius by 2... 36*2= 72
The diameter of a pond with an area of 4069.44^2 is 72!
Hope this helps anyone :)
9. How many lines of symmetry does the figure have? (1 point)
Amico
OOOO
6
Answers
Answer:
6 lines of symmetry
Step-by-step explanation:
This is a 6 sided polygon which is known as hexagon.
Now, line of symmetry of this hexagon is a line that passes through the centre of it and thereby divides it into equal parts.
Now, we can see the short lines on each side of the hexagon. When they are extended to join a similar line on the opposite face, they all pass through the centre.
Thus, there are
A teacher offers gift cards as a reward for classroom participation. The teacher places the gift cards from four different stores into a bag and mixes them well. A student gets to select two gift cards at random (one at a time and without replacement). Each outcome in the sample space for the random selection of two gift cards is equally likely. What is the probability of each outcome in the sample space?
1/16
1/6
1/4
1/2
Answers
Answer:
its either 1/4 or 1/16. i havent done this in forever.. so i cant figure out which one it is. go with your gut feeling, but i think its 1/4
Answer:
The answer is D. 1/2
Step-by-step explanation:
Because the probability of getting each gift card is 1/4. So since the student picks it without replacement, this means that we're multiplying 1/4 X 1/3 which would equal 1/12. Now we multiply 1/12 by 6 because there are six different variations of getting the cards. This would give us 6/12 or 1/2.
I just need the unit rate, if anyone could help that’d be great. I’ll give brainliest!!
Answers
Tell me if you want the steps ?
7(2x + 3) – 5x - 9
simplify the following expressions into equivalent forms
Answers
Answer: 9x + 12
Step-by-step explanation:
7(2x + 3) - 5x - 9
14x + 21 - 5x - 9
-5x +5x
9x + 21 - 9
-9 +9
9x + 12
What is the missing value in the proportion 4/5 = x/30?
A.) 6
B.) 24
C.) 37.5
D.) 29
Answers
Answer:
[tex]\displaystyle x = 24[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4}{5} = \frac{x}{30}[/tex]
Step 2: Solve for x
[Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle 5x = 120[/tex][Division Property of Equality] Divide 5 on both sides: [tex]\displaystyle x = 24[/tex]Simplify the expression: (5 − 4i)(6 − 2i).
38 − 34i
22 − 34i
38 − 20i
22 − 20i
Answers
Answer:
22 - 34i
Step-by-step explanation:
(5-4i)(6-2i)
FOIL -> 30 - 10i - 24i - 8
22 - 34i
A 10% increase followed by another 10% increase is not the same as a total increase of
20%.
What is the total percentage increase?
Answers
Answer:
21%
Step-by-step explanation:
Another 10% increased means it becomes 110*110/100 = 121. The first 10% increase means the second 10% increase will be an actual 11% increase from the original, so it will be a total of 21%.
Answer:
21%Step-by-step explanation:
Because the first 10% increase is calculated as 10% of what you started with. The second 10% is 10% of what you started with plus 10% of the increase caused by the original 10% increase.
Let's do the maths…
Let's start with 100 to make things easy.
We know that 10% of 100 is 10.
We know that 20% of 100 is 20.
So if we increase 100 by 10% we get 110.
If we increase 100 by 20% we get 120.
Now lets do the 10% plus 10%.
From the first 10% increase we were left with 110.
Now if we take 10% of the 110 we have 11.
Add that to the 110 and we get 121.
This is why people are surprised how quick a lone can rise if we don't pay it off. We are paying interest on the basic sum plus interest on the interest, then interest on the interest on the interest.
HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
A survey was conducted to see how many phone calls people made daily. The results are displayed in the table below:
Answers
From the given frequency table,
Frequency represents the number of people who made the calls.
Total number of people who made the calls = 16 + 11 + 5 + 3 + 1
= 36
Number of people who made less than 13 calls = 16 + 11 + 5
= 32
Number of people who made at least 9 calls = 5 + 3 + 1
= 9
Percentage of people who made at least 9 calls = [tex]\frac{\text{Number of people who made at least 9 calls}}{\text{Number of people who made the calls}}\times 100[/tex]
= [tex]\frac{9}{36}\times 100[/tex]
= 25%
Difference in the number of people who made the calls between 5-8 calls than 13-16 calls = 11 - 3 = 8
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0.9d-2.1f
Helpp!!❗‼️
Answers
Step-by-step explanation:
0.9(17) -2.7(3) =
15.3-8.1
=7.2
2 What is the theoretical probability of getting a sum of 7 on one roll of two fair number cubes?
Answers
Answer:
if the cube has six sides then that would be 3/12
Step-by-step explanation:
forgive me if im wrong
Scientists discovered that a new spider can grow 5 legs every year, on top of the 4 legs it already starts with. Scientists used the formula: s = 5L + 4. In this situation, what is the dependent variable?
A. s
B. 5
C. L
D. 4
Answers
Answer:
i think it is S
Step-by-step explanation:
i took the test on k12
Answer:
A. s
Step-by-step explanation:
The correct answer from the review page.