Answers
Answer:
the standard form equation is 1/2x^2-x-3/2=0
the vertex form equation is 1/2(x-1)^2-2=0
Step-by-step explanation:
Unfortunately, this can't be written in slope intercept form but I can write it in standard form(ax^2+bx+c) or vertex form (a(x-h)+k)
The vertex is (1,-2)
I estimate a=1/2 because the graph was widened and that can only be done by a fraction.
So, 1/2(x-1)^2-2=0
To find it in standard form
foil (x-1)(x-1)= x^2-2x+1
Then multiply by 1/2(x^2-2x+1)= 1/2x^2-x+1/2-2
To add 1/2-2. You mulitply -2 by 2/2 which equals 1/2-4/2 which equals -3/2
So the standard form equation is 1/2x^2-x-3/2=0
Related Questions
A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answers
Answer:
£20
Step-by-step explanation:
Given that:
Total amount alloted = 2000
Ticket cost = 32
Discount = 1/4 off
Hence, ticket price = 3/4 * 32 = 24
Train ticket cost = 12
Total cost per person = £(12 + 24) = £36
Hence, alloted amount / cost per person
= £2000 / £36
= 55.55
Total number that can attend = 2 teachers and 53 students
Change = £2000 - (£36*55)
= £20
Help please ill brainlist
Answers
Answer: a
Step-by-step explanation: i took the test
How many sides does a nonagon have?
sides
Answers
Answer:
9 sides due to the fact, the prefix nona means nine or ninth
Answer:Nine sides
Step-by-step explanation: have a good day :)
A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?
If x represents the pounds of $1.50 chocolates used, then which of the following represents the pounds of 90¢ chocolates used?
x
30 - x
30
Answers
Answer:
10 pounds of the $1.50 chocolate were used.
30 - x represents the number of pounds of the 0.90 chocolate used.
Step-by-step explanation:
30 * 1.10 = 1.5x + 0.9 (30 - x)
33 = 1.5x + 27 - 0.9x
0.6x = 6
x = 10
Answer:
30 - x
Step-by-step explanation:
ILL GIVE BRAINLIST!! PLEASE HELP!!
Answers
Answer:
125
Step-by-step explanation:
125x5=625
125x8=1000
solve for x plsssssss
Answers
Answer:
x = 129º
Step-by-step explanation:
It will take some time to elaborate but start this way:
you see the triangle with the 58º and 57º? Now by rule, the sum of all angles ina triangle is 180º
so 57+58 = 115
to discover the other angle you just have to 180-155 = 65
Now that you know the 65º by rule the angle facing it is exactly the same, follow from there, solve all triangles until you get to x...
Write the recurring decimal 0.63as a fraction
Answers
Answer:
63/100, this can't further more simplified
Step-by-step explanation:
i hope it helped you please give me brainliest
Write the equation for the line that is parallel to the given line and that contains
the given point. Use the point-slope form of the equation of a line.*
(-3,4) y=-x-11
Answers
Answer:
x + y - 1 = 0
Step-by-step explanation:
y = -x - 11
therefore its slope is -1
x1= -3
y1 = 4
m = -1
from, y - y1 = m(x -x1)
y - 4 = -1(x + 3)
y -4 = -x -3
x + y -1 = 0
find the slope of the table
Answers
Answer:
equation for slope:
y2-y1 / x2-x1
0- (-4) / 0 - (-5)
4/5 is your slope
Step-by-step explanation:
Line f passes through points (92, 19) and (-4, 94). Line g is perpendicular to f. What is the slope of line g?
Answers
Answer:
1.28
Step-by-step explanation:
slope of line f = (94 - 19)/(-4 - 92) = -75/96
since line g is perpendicular to line f, the product if their slope = -1
therefore, 75/96 x slope of line g = -1
slope if line g = -1/(-75/96) = 96/75 = 1.28
Topic: Coordinate Geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
The first term of an arithmetic progression is 80 and the common difference is -3. what is the greatest possible sum of the first n terms of this sequence, and for which value of n does it occur?
I need help with this question, in advance thank you :)
Answers
Answer:
S=157
Step-by-step explanation:
an= a1+(n-1)d
a2=80+(2-1)(-3)
a2=80-3
a2=77
Sn=(a1+an)*n/2
S2=(80+a2)*2/2
S2=(80+77)*1
S2=157
Sara owns a paint shop that makes custom paints. To make one gallon of a specialty color, she needs 4 royal blue units that each cost $b. She also needs 9 yellow units that each cost $y. A customer orders 4 gallons of this paint.
Sara uses the expression 4(4b + 9y) to find the total cost for the color units needed to make each gallon of paint.
Explain how to write an expression that is equivalent to the total cost expression. Then determine the total cost for the color units needed to make the paint if each royal blue color unit costs $0.30 and each yellow unit costs $0.10.
Answers
The distance a jet travels varies directly with the number of hours flown. A jet travels 1,350 miles in three hours. If the jet continues to travel at the same rate, how far will it fly in seven hours?
Answers
Answer:
3150
Step-by-step explanation:
1350/3= 450
1350+1350+450= 3150
Answer the document please
Answers
In this case the slope is 1/2 and the y intercept is 0 so your equation will read as
Y= 1/2p + 0 (you can decide whether or not to put the 0)
1. Choose the word form for: 56.23 *
fifty six and twenty three thousandths
fifty six and two tenths
fifty six and twenty three hundredths
five hundred six and twenty three hundredth
Answers
Answer:
The third one
Step-by-step explanation:
50 Fifty 3 three . and 20 twenty 3three hundreths
help find missing segment??
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let x as the missing segment.
_________________________________
According to the Thales theorem :
[tex] \frac{26}{x} = \frac{12}{36} \\ [/tex]
[tex] \frac{26}{x} = \frac{12}{12 \times 3} \\ [/tex]
[tex] \frac{26}{x} = \frac{1}{3} \\ [/tex]
Inverse both sides
[tex] \frac{x}{26} = \frac{3}{1} \\ [/tex]
[tex] \frac{x}{26} = 3 \\ [/tex]
Multiply sides by 26
[tex]26 \times \frac{x}{26} = 26 \times 3 \\ [/tex]
[tex]x = 26 \times 3[/tex]
[tex]x = 78[/tex]
Thus the missing segment has a measure of 78 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A clothing store is having a sale in which all T-shirts are $10. The sales tax is 5%. If Dan buys n T-shirts during this sale, the total cost of his purchase will be 10n + 0.05(10n). Interpret the meaning of 0.05(10n) in this context
Answers
Answer:
Step-by-step explanation:
Cost of 1 T-shirt = $ 10
Sales tax for 1 T-shirt = 5% * 10 = 0.05 * 10
Cost of n T-shirt = $ 10n
Sales tax for 'n' T-shirts = 0.05 * (10n)
Sales tax on 'n' T-shirts = Sales tax for 1 T-shirt * (Cost of n T-shirt)
Answer:
the cost of the t shirt = 10 times the sale tax which is 5%
Step-by-step explanation:
Y’all I need help I need a good grade on this
Answers
Answer:
SLOPE IS -3
Step-by-step explanation:
4-7 over 0-(-1)
20 points!! Answer ASAP please! Determine the equation of the line that passes through the given points. ( If you have a graphing calculator, you can
use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 82) and (2.7.3)
Answers
Only smart bros answer
Answers
Answer:
178.695
Step-by-step explanation:
3.3.PS-11
Decide whether the table shows a proportional
relationship between x and y.
х
y
4.
3
5
19
4.
4
5
25
1
5
5
1
11
25
Answers
Answer:
4y
Step-by-step explanation:
Answer: The table ▼
does
does not
show a proportional relationship between x and y.
Are the lines 12x + 3y=-9 and -8x – 2y = 14 parallel?
Answers
Answer:
Yes, the lines are parallel.
Answer:
they are parallel
Step-by-step explanation:
slope of both line come 4
Question- Solve for a
2a+b=x
Answers
Answer:
a = (x - b)/2
Step-by-step explanation:
2a + b = x
-b -b
2a = x - b
/2 /2
a = (x - b)/2
for ex:
x = 3
b = 2
a = ((3) - (2))/2 = 0.5
a = 0.5
2a + b = x
2(0.5) + 2 = 3
Which equation could be equivalent to 22 - 3?
Answers
Answer:
22 + (-3)
Step-by-step explanation:
Adding a negative is the same as subtracting a positive.
A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Identify how many miles per day the Boden family is planning to travel.
miles per day
Answers
Answer:
202 miles per day
Step-by-step explanation:
Answer:
165
Step-by-step explanation:
A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Bodens drove for awhile before they made a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Determine the initial number of miles that the Boden family drove before they made their plan.
771 miles
367 miles
165 miles
135 miles
This is your correct answer 165, oops this is the wrong question sorry
The ratio of boys to girls in the sixth grade are 2:3. If there are 200 sixth graders, how many of them are boys?
Answers
Answer:
80
Step-by-step explanation:
2:3
2+3=5
2/5×200=80
Select all of the ratios that are equivalent to 6:3?
Answers
Answer: We can't see the ratios.
Step-by-step explanation:
pls show steps and explain
Answers
Answer:
3x+30= 116° 2x=64°
Step-by-step explanation:
the angle below 2x is the same as 3x+20 so we know that 5x+20=180 so solve this
5x+20=180
5x=160
x=32
sub x into the angle equations
3(32)+20=116
2(32)=64
Answer:
x=32°
Step-by-step explanation:
3x+20+2x=180°(being co interior angle)
3x+2x+20=180°
5x=180-20
5x=160
x=32°
Factor 10z + 45.
i need help!
Answers
Answer:
5(2z +9)
Step-by-step explanation:
factor out 5 of 10z +45
Create a simplified equivalent expression: 4x + 3^3 - 2x *
Answers
4x+3^3-2x
4x-2x+3^3
2x+3^3
2x+27