Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?
Answer:
The Value Remains the Same
Step-by-step explanation:
Trust
The value of a remains unchanged. Therefore, option C is the correct answer.
Given that, Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k.
We need to find from the option which is true for the given statement.
What is a vertex form?The Vertex formula of a parabola is used to find the coordinates of the point where the parabola crosses its axis of symmetry. The vertex is the point (h,k). As we know the standard equation of a parabola is y = ax²+bx+c. The vertex form of the parabola y = a(x - h)²+ k. There are two ways in which we can determine the vertex (h, k).
Now,
The original expression is given as y = ax²+bx+c and Christian rewritten as y = a(x - h)²+ k.
Simplify the equation y = a(x - h)²+ k, that is y = a(x²-2xh+h²)+k.
⇒y=ax²-2axh+ah²+k
Compare the equation y=ax²-2axh+ah²+k with y = ax²+bx+c.
That is ax²=ax²
bx=-2xh and c=ah²+k
Analyzing the above equations ax²=ax²
Now, divide both sides by x², and we get a=a.
So, the value of a remains unchanged.
Therefore, option C is the correct answer.
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Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k. Which of the following must be true?
h and k cannot both equal zero
k and c have the same value
the value of a remains the same
h is equal to one half –b
El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural, ¿Cuántos litros de cada preparado se deben emplear?
Answer:
El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.
Step-by-step explanation:
Sistemas de Ecuaciones
Llamamos:
x = litros de jugo al 5% natural
y = litros de jugo al 25% natural
El administrador de la cafetería desea hacer 50 litros de jugo, luego:
x + y = 50 [1]
Esos 50 litros de jugo deben tener 10% de jugo natural. Como cada parte de x aporta 5% y cada parte de y aporta 25%:
5x + 25y = 10*50 = 500
Dividimos entre 5:
x + 5y = 100 [2]
Restamos [2] menos [1]:
4y = 50
y = 50/4 = 12.5
De [1] tenemos que:
x = 50 - y = 50 - 12.5 = 37.5
El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.
Twice a number, increased by the sum of the same number and five.
Answer:
2x+(x+5)
not 100% sure but this is what i got
Step-by-step explanation:
evaluate -19.2 + 87.31 please shoe work!
Answer:
the answer is 68.11
Step-by-step explanation:
use symbolab I use it all the time
Answer:
68.11
Step-by-step explanation:
Since one number is negative, your equation is basically
87.31 - 19.2= 68.11
Hope I can be brainliest (:
find the distance bdtween point A to AZ. round your answer to the nearest tenth. big ideas math
Answer:
wheres A though? Try to provide a picture or something.
Please help me with this problem!
240THE ANSWER IS 240
Anyone else have to watch two videos on brainly to just get one answer??
WHAT DOES THAT MEAN....
HELP PLEASE QUICKLY!! Please
Answer:
x=9
Step-by-step explanation:
First you have to identify the black line at the bottom so it means it's 180 degrees. No notice the red box it means it's 90 degrees. We can conclude from this that the other side of the red box should also equal 90 degrees. So to find x you have to set up this equation: 6x+4+32=90. Then you solve for x which ends up being 9.
If you liked my answer then please make it the brainliest it would be much appreciated. Thanks!
Answer:
The x would be 9
Step-by-step explanation:
9 times 6 equals 54 plus 4 equals 58
the square is 90 degrees and 90 plus 58 plus 32 equals 180 degrees which is the right amount of a flat line
4.There are 8 elephants in the zoo. Each elephant eats about 2.16 × 105 pounds of vegetation per year. The zookeeper asked Abdulla and Maryam to determine how many pounds of vegetation are required to feed all of the elephants. They wrote their solutions in scientific notation.
Answer:
1.728 × 106 pounds of vegetation
Step-by-step explanation:
From the question, each elephant eats 2.16 × 105 pounds of vegetation per year.
Since there are eight elephants, it will cost a total of 8× 2.16 × 105 pounds of vegetation per year = 1.728 × 106 pounds of vegetation
So i need help T-T
According to all known laws of aviation, there is no way a bee should be able to fly. Its wings are too small to get its fat little body off the ground. The bee, of course, flies anyway because bees don't care what humans think is impossible. Yellow, black. Yellow, black. Yellow, black. Yellow, black. Ooh, black and yellow! Let's shake it up a little. Barry! Breakfast is ready! Ooming! Hang on a second. Hello? - Barry? - Adam? - Oan you believe this is happening? - I can't. I'll pick you up. Looking sharp. Use the stairs. Your father paid good money for those. Sorry. I'm excited. Here's the graduate. We're very proud of you, son. A perfect report card, all B's. Very proud. Ma! I got a thing going here. - You got lint on your fuzz. - Ow! That's me! - Wave to us! We'll be in row 118,000. - Bye! Barry, I told you, stop flying in the house! - Hey, Adam. - Hey, Barry. - Is that fuzz gel? - A little. Special day, graduation. Never thought I'd make it. Three days grade school, three days high school. Those were awkward. Three days college. I'm glad I took a day and hitchhiked around the hive. You did come back different. - Hi, Barry. - Artie, growing a mustache? Looks good. - Hear about Frankie? - Yeah. - You going to the funeral? - No, I'm not going. Everybody knows, sting someone, you die. Don't waste it on a squirrel. Such a hothead. I guess he could have just gotten out of the way. I love this incorporating an amusement park into our day. That's why we don't need vacations. Boy, quite a bit of pomp... under the circumstances. - Well, Adam, today we are men. - We are! - Bee-men. - Amen! Hallelujah! Students, faculty, distinguished bees, please welcome Dean Buzzwell. Welcome, New Hive Oity graduating class of... ...9:15. That concludes our ceremonies. And begins your career at Honex Industries! Will we pick ourjob today? I heard it's just orientation. Heads up! Here we go. Keep your hands and antennas inside the tram at all times. - Wonder what it'll be like? - A little scary. Welcome to Honex, a division of Honesco and a part of the Hexagon Group. This is it! Wow. Wow. We know that you, as a bee, have worked your whole life to get to the point where you can work for your whole life. Honey begins when our valiant Pollen Jocks bring the nectar to the hive. Our top-secret formula is automatically color-corrected, scent-adjusted and bubble-contoured into this soothing sweet syrup with its distinctive golden glow you know as... Honey! - That girl was hot. - She's my cousin! - She is? - Yes, we're all cousins. - Right. You're right. - At Honex, we constantly strive to improve every aspect of bee existence. These bees are stress-testing a new helmet technology. - What do you think he makes? - Not enough. Here we have our latest advancement, the Krelman. - What does that do? - Oatches that little strand of honey that hangs after you pour it. Saves us millions. Oan anyone work on the Krelman? Of course. Most bee jobs are small ones. But bees know that every small job, if it's done well, means a lot. But choose carefully because you'll stay in the job you pick for the rest of your life. The same job the rest of your life? I didn't know that. What's the difference? You'll be happy to know that bees, as a species, haven't had one day off in 27 million years. So you'll just work us to death? We'll sure try. Wow! That blew my mind! "What's the difference?" How can you say that? One job forever? That's an insane choice to have to make. I'm relieved. Now we only have to make one decision in life. But, Adam, how could they never have told us that? Why would you question anything? We're bees. We're the most perfectly functioning society on Earth. You ever think maybe things work a little too well here? Like what? Give me one example. I don't know. But you know what I'm talking about. Please clear the gate. Royal Nectar Force on approach. Wait a second. Oheck it out. - Hey, those are Pollen Jocks! - Wow. I've never seen them this close. They know what it's like outside the hive. Yeah, but some don't come back. - Hey, Jocks! - Hi, Jocks! You guys did great! You're monsters! You're sky freaks! I love it! I love it! - I wonder where they were. - I don't know. Their day's not planned. Outside the hive, flying who knows where, doing who knows what. You can'tjust decide to be a Pollen Jock. You have to be bred for that. Right. Look. That's more pollen than you and I will see in a lifetime. It's just a status symbol. Bees make too much of it. Perhaps. Unless you're wearing it and the ladies see you wearing it. Those ladies? Aren't they our cousins too? Distant. Distant. Look a
Answer:
I read like the first two sentences lol.
Step-by-step explanation:
Well, scientifically speaking, the bees flap their wings at a very high and fast speed, making it able to carry itself. The wings are proportionally stable on the bee and are a specific size and positioning that allows it to fly.
#teamtrees #WAP (Water and Plant)
Express as a trinomial. (3x – 10) (3x - 1)
Answer:
9x² - 33x + 10
Step-by-step explanation:
Given
(3x - 10)(3x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(3x - 1) - 10(3x - 1) ← distribute both parenthesis
= 9x² - 3x - 30x + 10 ← collect like terms
= 9x² - 33x + 10
1/5 k = 20 solvve for k
Answer:
k=100
Step-by-step explanation:
20x5=100
Answer:
k=100
Step-by-step explanation:
Solve for k by simplifying both sides of the equation, then isolating the variable.
simplify by dividing [ -3/-8] divided by 5/9 (5 points)
A. -15/-72
B. 15/72
C. -27/-40
D. 27/40
Answer: D
Step-by-step explanation:
(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.
I think C was supposed to be -27/40 so D is the correct answer since it's positive.
The sum of two numbers is 64 and the difference is 8. What are the numbers?
Answer:
The answer is 36 and 28
Step-by-step explanation:
Trust me its correct
pls mark me as brainliest
The addition is one of the four fundamental mathematical operations. The two of the given numbers are 36 and 28.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
Let the sum of two numbers be represented by a and b.
Given that the sum of the two numbers is 64. Therefore, we can write,
a + b = 64
Also, it is given that the difference between the two numbers is 8, therefore, we can write,
a - b = 8
Adding the two of the equation formed together, then,
a + b + a - b = 64 + 8
2a = 72
a = 72/2
a = 36
Substitute the value of a in any one of the two equations,
a + b = 64
36 + b= 64
b = 64 - 36
b = 28
Hence, the two of the given numbers are 36 and 28.
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15. Write the slope-intercept form of the line described in the following:
Parallel to 3x + y=5
and passing through (2, 3)
Answer:
Step-by-step explanation:
We know that parallel line must have the same slope
First we change the given equation to slope intercept form y =mx +b
From 3x+y=5 ( we need to find the new y intercept using the given x and y values of (2,3)
find for y by subtracting 3x from both sides of the equation
3x +y = 5 -3x-3x
we get : y = -3x +5
Use the x and y values given (2,3) and substitute in the equation above
to find find for b (remember we need a new y intercept..b)y = -3x + b
3 = -3(2) + b
3 = -6 + b
b = 6 = 3
b = 9
The new equation that's parallel to the given equation would be
y = -3x + 9
–9w + 7 = –3 − 10w
is it a identity
Answer: w= -10
Step-by-step explanation:
1. add 3 with positive 7 to make 10. The equation is now -9w+10= -10w
2. add 9 with -10 to make -1w the is now 10= -1w
3. divide 10/-1 to make -1
and that’s how w= -10
no it’s not identity
Select all ratios that are in their simplest form.
4:24 28:15 3:13 18:30 12:14
Answer:
1. 28:15
2. 3:13
Step-by-step explanation:
The ratios above have no common factor.
4:24 .
Common factor : 4
18:30
Common factor : 6
12:14
Common factor : 2
Answer:
28:15
3:13
Step-by-step explanation:
The ratios 28:15 and 3:13 are in their simplest form, meaning that they cannot be simplified any further.
Meanwhile, the other 3 ratios are not in their simplest form and can still be simplified if they are divided by either 2 or 4.
Which equation would you use to solve the following situation?
There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?
6 + x = 15
x - 6 = 15
15 + 6 = x
6 - x = 15
Answer:6+9
Step-by-step explanation:
because 5=10 is 15 and to get the same answer on any other questions like this is Example: 4+4 take 1 off of a digit and put that one on the other digit yw for the help
Answer:
15 + 6 = x
Step-by-step explanation:
A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped, 2 were late. What is the probability that 2 out of 10 randomly selected shipments would be late?
Answer:
The probability is;
0.0000003645
Step-by-step explanation:
The probability of packages being early p is 90% = 0.9
The probability of packages being late q will be 1-p = 1-0.9 = 0.1
So the probability of 2 out of 10 random late will be subject to Bernoulli approximation of the Binomial theorem
That will be;
P(X = 2) = 10 C 2 0.9^2 0.1^8
= 0.0000003645
Answer:
0.19
Step-by-step explanation:
took the quiz
Translate the sentence into an equation.
Twice the difference of a number and 8 is 6.
Use the variable c for the unknown number.
Answer:
c-8=6
Step-by-step explanation:
C-8=6
is the and
Thank me
WILL GIVE EXTRA POINTS
Assignment name: solving angles pairs
Answer:
33
Step-by-step explanation:
Answer:
The angle that says it is 120 degrees looks wrong. That is an acute angle
Step-by-step explanation:
This is solving multiple step equations
Answer:
x=-11/3
Step-by-step explanation:
expand the brackets: 4x+12= 1
this is now a normal equation
solve the equation
-12 from both sides
4x=-11
divide by 4 both sides
x= -11/4
this is because 11 cannot be divided by 4 exactly so we put it in fraction form .
1 point
17. A triangle has vertices at A (-3,-1), B (-6, -5),
C(-1,-4).
Which transformations would produce an image with
vertices A' (3,-1), B' (6,-5), C' (1, -4)?
A. A reflection over the x - axis
B. A reflection over the y- axis
C. A rotation 90° clockwise
D. A rotation 90° counterclockwise
Ο Α
The rule for the transformations would produce an image will be;
''A reflection over the y- axis''
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
A triangle has vertices at A (-3,-1), B (-6, -5), C(-1,-4) transformations would produce an image with vertices A' (3,-1), B' (6,-5), C' (1, -4)
Now,
We know that;
The rule for the transformation over y - axis will be;
⇒ (x, y) → (- x, y)
So, We get;
The rule for the transformations would produce an image is,
''A reflection over the y- axis''
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A parking lot contains 21 sedans. Sedans are found at a ratio of 7:5 to SUVs in the parking lot. How many SUVs are likely to be found in the parking lot?
Answer:
hey are both divisible by 3
7 x 3 = 21
5 x 3 = 15
they are both divisible by 3
Step-by-step explanation:
hope this helps!
2 X + 3 Y=_ 4
_ 5 x + 4 Y + 13 =0
X = -10
Y = 8
2 X + 3 Y = 4 ---- (i)
5 X + 4 Y + 13 = 0 ---- (ii)
rearranging eqn (ii), we have
5X + 4Y = -13 ----- (ii)
multiply eqn (i) by 5 and eqn (ii) by 2
10X + 15Y = 20 ---- (iii)
10X + 8Y = -26 ---- (iv)
subtracting eqn (iv) from (iii), we have
10X - 10X + 15Y - 8Y = 20 - (-26)
0 + 7Y = 20 + 26
7Y = 56
Y = 56/7
Y = 8
Substituting Y into eqn (i), we have
2X + 3Y = 4
2X + 3(8) = 4
2X + 24 = 4
2X = 4 - 24
2X = -20
X = -20/2
X = -10
Choose Yes or No to tell whether the fraction and percent are equivalent. 401,000and 40% Choose... 65 and 120% Choose... 5033 and 117% Choose... 18 and 12.5% Choose...
Answer: 1 = No
Step-by-step explanation:
HURRY HELP
Tammy sold a diamond ring for $10,000. She placed the money into a CD with a 3.9% interest rate compounded
annually. What is the interest earned on the amount after 4 years?
a.)$1653.66
b.)$1984.87
c.)$1492.04
d.)$1119.99
=====================================================
Work Shown:
Use the compound interest formula
A = P*(1+r/n)^(n*t)
A = 10000(1+0.039/1)^(1*4)
A = 11,653.65589441
A = 11,653.66
That's the amount of money Tammy will have at the end of 4 years.
Subtract off the principal from this value to get the interest.
interest = A - P
interest = 11,653.66 - 10,000
interest = 1,653.66
Which is the most appropriate rate with which to calculate an answer to his question?
9 Helen measures a rectangular sheet of paper as 197 mm by 210 mm, each correct to the nearest
millimetre. Calculate the upper bound for the perimeter of the sheet of paper.
Answer:
Perimeter of the sheet of paper = 814 mm²
Step-by-step explanation:
Given:
Length of side = 197 mm
Width of side = 210 mm
Find:
Perimeter of the sheet of paper
Computation:
Perimeter of the sheet of paper = 2[l+b]
Perimeter of the sheet of paper = 2[197+210]
Perimeter of the sheet of paper = 814 mm²
-2x - 6xy - 3y +7x.....need help bc tomorrow have a test.
Step-by-step explanation:
-2x - 6xy - 3y + 7x combine like terms
= (-2x + 7x) - 6xy - 3y
= 5x - 6xy - 3y
Hey there! We will Combine Like Terns for this one.
= −2x + −6xy + −3y + 7x
= (−6xy) + (−2x + 7x) + (−3y)
=−6xy + 5x + −3y