A) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)
Answers
Answer:
[tex]a=-\frac{1}{8}[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Write the vertex form and then solve for
The general equation is:
[tex]y = a(x - h)^2 + k[/tex]
From the attachment, the vertex is at:
[tex](h,k) = (24,50)[/tex]
i.e.
[tex]h = 24; k= 50[/tex]
Considering point:
[tex](x,y) = (4,0)[/tex]
i.e.
[tex]x=4;y=0[/tex]
Substitute these values in [tex]y = a(x - h)^2 + k[/tex]
[tex]0 = a(4 - 24)^2 + 50[/tex]
[tex]0 = a(- 20)^2 + 50[/tex]
[tex]0 =a(400) + 50[/tex]
[tex]0 = 400a + 50[/tex]
Solve for a
[tex]400a = -50[/tex]
Make a the subject
[tex]a=-\frac{50}{400}[/tex]
[tex]a=-\frac{1}{8}[/tex]
Answer:
y = a(x - h)^2 + k
h = 24, k = 50, x = 4, y = 0
0 = a(4 - 24)^2 + 50
0 = a(-20)^2 + 50
0 = a(400) + 50
0 = 400a + 50
400a = -50
a = - 50/400
a = - 1/8
Step-by-step explanation:
that's what i put copy and paste
Related Questions
Which is more, 5 tons or 9,998 pounds?
Answers
Answer:
5 tons
Step-by-step explanation:
5 tons are more than 9,998 pounds.
What is ratio?Ratio essentially compares quantities, i.e., it displays the value of one quantity in relation to the other quantity.
The ratio of two values, a and b, will be a:b.
According to question,
We have to find which value is greater, 5 tons or 9,998.
Since,
1 ton = 2000 pounds
Therefore,
5 tons = 5 x 2000 pounds
5 tons = 10,000 pounds.
It implies that, 5 tons are more than 9,998 pounds.
To learn more about Ratio on :
https://brainly.com/question/13419413
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before Christmas a story steals fake Christmas trees for $289 after Christmas they sell the same trees for $150 what is the approximate percent of decrease ?round your answer to the nearest percent
Answers
hope this helps
Find the solution set to this inequality: 2x-3> 2x-5/2
Answers
Answer:
-4
Step-by-step explanation:
2x - 3 >2x-5/2
CLT
2x-2x < -5/2+3
The less than became greater than because a negative sign crossed it and because positive
Hence,
X =-4
Incase you need inequality line or graph be sure to tag or ask me
The solution set to this inequality solution set = ∅.
How to solve inequality equations?
An inequality is a mathematical expression using the symbols >, <, ≥, and ≤. Many straightforward inequalities can be resolved by adding, taking away, multiplying, or dividing both sides until the variable is all that remains. On multiplying or dividing both sides with negative number changes the direction of inequality. If we flip the number, we just have to flip the inequality symbol also.
Inequality:
2x-3> 2x-5/2
2x - 2x > -5/2 + 3
2x - 2x > -2.5 + 3
0 > -2.5 + 3
0 > 0.5
This shows that solution set will not contain any elements, i.e. x ∈ ∅
Therefore, Solution set = ∅
To learn more about the inequalities from the link.
https://brainly.com/question/11613554
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Mya and her three friends bought 7 1/5 pounds of cherry sours at 1.30 per pound. If the cost of cherry sours id divided evenly among the 4 friends, how much will each person pay
Answers
Answer: Each person will pay $2.34.
Step-by-step explanation:
Given: Cost of one pound of cherries = $1.30
Cost of [tex]7\dfrac15[/tex] pounds of cherries = [tex]7\dfrac15\times 1.30[/tex]
[tex]=\dfrac{36}{5}\times1.30[/tex]
= $9.36
Each person will pay = (Cost of [tex]7\dfrac15[/tex] pounds ) ÷ 4
[tex]=9.36\div4[/tex]
=$2.34
Hence, Each person will pay $2.34.
Is my answer correct?
Answers
Answer:
I don’
think so
Step-by-step explanation:
Find the value of x in the diagram.
Pls help
Answers
Answer:
72
Step-by-step explanation:
Answer:
72 degrees
Step-by-step explanation:
x = 360 - (108 + 121 + 59)
x = 360 - (108 + 180)
x = 360 - 288
x = 72 degrees
Hope that helps!
A cylinder has a height of 10 centimeters. Its volume is 9,074.6 cubic centimeters. What is the radius of the cylinder?
Answers
Answer:
MONKE
Step-by-step explanation:
MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE
-BOB THE MF BUILDER WAS HERE
what is the product of (1.9*10^-3)(2*10^4)
Answers
Answer:
to solve use the distributive property and multiply
Step-by-step explanation:
I'm sorry I do not have the product
Hope this helps! Have a great day!
A jar contains n nickels and d dimes. There is a total of 206 coins in the jar. The value of the coins is $13.95. How many nickels and how many dimes are in the jar?
Answers
Answer:
73 dimes and 133 nickels
Step-by-step explanation:
$13.95 = 1395 cents
5n + 10d = 1395 (since each nickel is 5 cents and each dime is 10 cents)
5n = 1395 - 10d (subtract 10d from both sides to solve for n)
n = 279 - 2d
n + d = 206
279 - 2d + d = 206 (substitute n with the previous expression)
279 - d = 206 (add variable d and -2d)
-d = -73 (solve for d and divide both sides by negative 1)
d = 73
n + 73 = 206 (solve for n and subtract both sides by 73)
n = 133
Lauren went shopping for a new pair of pants because of a sale. The price on the tag
was $20, but Lauren paid $13 before tax. Find the percent discount.
Answers
Answer:
discount rate= 0.35
Step-by-step explanation:
Giving the following information:
The price on the tag was $20, but Lauren paid $13 before tax.
To calculate the discount rate, we need to use the following formula:
Total discount= total price * ( 1 - discount rate)
13= 20 * (1 - discount rate)
13= 20 - 20discount rate
20discount rate = 7
discount rate= 7 / 20
discount rate= 0.35
what angles are Adjacent to angle 4 below?
Answers
Answer:
Angle 3 and 5
Step-by-step explanation:
Adjacent mean next to
Answer and Step-by-step explanation:
Angles that are adjacent (next to) angle 4 are the angles 5 and 3.
These angles are next to angle 4.
#teamtrees #WAP (Water And Plant)
Find the missing measure. (show your work)
Answers
2 • x = 5 • 4
2x = 20
x = 20/2
x = 10
Please help meeee!!!!!!
Answers
Answer:
23
Step-by-step explanation:
basta isagot mo lamg ah
Veronica says that the expression
7(5x + 2) is equivalent to the expression
12x + 9. Is Veronica correct?
Answers
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answers
Step-by-step explanation:
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.
A is incorrect because the size of the shape doesn't change when getting reflected.
B and D is incorrect because just by looking at the shape D is not equal to A' or B'
Hope this helps!!
Find the x & y value.
Answers
Answer:
Step-by-step explanation:
4x-3 = 49
x = 13°
y = 31°
If $3,840 is
invested in an
account at 5%
annual simple
interest, how long
will it take for the
interest to grow
to $960?
Answers
Answer:
5 years
Step-by-step explanation:
5% of $3840 is $192 than divide $960 by $192 and you get 5
Translate
(x-2, y+D) then
rotate 90°
counterclockwise
(-1, 1)
Answers
Answer:
By taking (-1, 1) and translating it left by 2 and up by D we have (-3, 1+D)
Rotating 90° counterclockwise puts a negative on your y-coordinate and switches the x and y-coordinates.
Final answer:
(-1-D, -3)
Your well wisher :-)
How many squares does it take to make a square?
Answers
Answer:
aaalot I'm guessing I'm stu.pid
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 11)(0,11) and (3, 3773)(3,3773).
Answers
Answer:
y = 11(7)^x
Step-by-step explanation:
The exponent equation that goes through points (0, 11) and (3, 3773) will be y = 11 · (7)ˣ.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The equation passes through (0, 11) and (3, 3773). Then the equation will be given as,
ab⁰ = 11
a = 11
Then the other equation is given as,
ab³ = 3773
11 b³ = 3773
b³ = 343
b³ = 7³
b = 7
Then the exponent equation that goes through points (0, 11) and (3, 3773) will be y = 11 · (7)ˣ.
More about the exponent link is given below.
https://brainly.com/question/5497425
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please do, thank you
1) write a real world problem for the following inequality X < 17
2) draw a number line and graph the inequality
3) make a cartoon strip, model or short video to represent your problem
Answers
Answer:
{poiuyt
Step-by-step explanation:
I need help ASAP
Which one is it ?
Answers
Answer:
C
Step-by-step explanation:
Tangent = opposite/adjecent.
sine
https://quizizz
.com/admin/quiz/58b03b8967e5cbbb47f236d7/trig-ratios
PLEASE SHOW YOUR WORK. HURRY I WILL MARK YOU BRAINLIEST
Answers
Answer:
b
Step-by-step explanation:its is b because in three days they earn 48 dollars in 6 days the earn 96 dollars in 7 days they earn 112 dollars so it is b
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answers
Answer:
3, 50, 2
Step-by-step explanation:
By multiplying all terms by 5, we are trying to remove the fraction on the left hand side. On the right hand side of the equation, expand the bracket by multiplying 5 to each term in the bracket.
3(n +25)= 5(10) +5([tex] \frac{2}{5} n[/tex])
3(n +25)= 50 +2n
To find the value of n, expand the bracket on the left hand side:
3(n) +3(25)= 50 +2n
3n +75= 50 +2n
Bring all n terms to one side, constants to the other:
3n -2n= 50 -75
n= -25
write 4 ratios that to EQUIVALENT RATIOS of 6:1.
Answers
Answer:
12:2
18:3
24:4
30:5
36:6
Step-by-step explanation:
What is an equation of the line that passes through the points (-6,-2) and (-3,-3)
Answers
Answer:
y = -1/3x - 4
Step-by-step explanation:
m = -1/3
y = -4
Hope this helps! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer：
y=-9x+5
Step-by-step explanation:
Part D
If the vertical length is 10, what is the horizontal length?
PLZZZZ HELP ME <3
Answers
Answer:
6 you would calculate it just like vertical length
c) p2 + 6p + 8
solve this factorisation
Answers
Answer:
Step-by-step explanation:
Add similar elements; 2p+6p=8p
=8p+8
Answer:
(p+2)(p+4)
Step-by-step explanation:
use the foil method to check your answer
Sloths sleep an average of 16.5 hours a day. What percent of a 24 hour day do they sleep?
Answers
Answer:
i think its 66%
Step-by-step explanation:
Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. Which expression matches the situation?
A. 9(3) + 5(4)
B. 3(5) + 9(4)
C. (5+9) + (3+4)
D. 47
Answers
A
Because of 3 adults bought 3 tickets, 9 x 3. 9(3)
4 students bought 4 tickets, 4 x 5, 4(3)