Answers
Answer:
y = - 2(x - 2)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 3) , thus
y = a(x - 2)² - 3
To find a substitute (1, - 5) a point on the curve into the equation
- 5 = a(1 - 2)² - 3
- 5 = a - 3 ⇒ a = - 5 + 3 = - 2
y = - 2(x - 2)² - 3 ← equation in vertex form
Related Questions
The box plots show Lauren’s chemistry scores and her biology scores. Chemistry 2 box plots. The number line goes from 50 to 100. For chemistry, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80. For biology, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70. Biology Lauren used the steps below to determine the differences in the medians and the interquartile ranges. Step 1 Find the median for chemistry: 80 Find the median for biology: 70 Step 2 Find the difference in the medians: 80 minus 70 = 10 Step 3 Find the interquartile range for chemistry: 85 minus 80 = 5 Find the interquartile range for biology: 80 minus 70 = 10 Step 4 Find the difference in the interquartile ranges: 10 minus 5 = 5 Lauren determined that the difference in the medians is greater than the difference in the interquartile ranges. Which explains Lauren’s error? Lauren made her first error in step 1 because the median is 85 for chemistry and 80 for biology. Lauren made her first error in step 1 because the median is 60 for chemistry and 60 for biology. Lauren made her first error in step 3 because she should have used 90 minus 55 = 35 for chemistry and 90 minus 50 = 40 for biology. Lauren made her first error in step 3 because she should have used 85 minus 60 = 25 for chemistry and 80 minus 60 = 20 for biology.
Answers
Answer:
Lauren made her first error in step 3 because she should have used 85 minus 60 = 25 for chemistry and 80 minus 60 = 20 for biology.
Step-by-step explanation:
Lauren's box plots may have looked like those below.
Step 1
Chemistry median = 80
Biology median = 70
Correct.
Step 2
Difference in medians = 80 - 70
Correct
Step 3
Chemistry IQR = 85 - 60 = 25
Biology IQR = 80 - 60 = 20
Wrong.
This is where Lauren made the mistake.
She was finding the difference between the Max and Q3.
Answer:
DStep-by-step explanation:
If x+y−z=8 and x−y+z=12, then x=
Answers
Answer:
x = 10
Step-by-step explanation:
We see and show that x = 10
This makes y = 5 and z = 7 as 5-7 (y-z) = -2
As y5-z7 = -2 then we add 10 = 8
x+y-z = 10x-2yz = 8
x-y+z = 10 -5 +7 = 12 we know x = 10
We cna now prove.
x+y-z =8
x+5y-7z = 8
x +-2yz = 8
x = 8+2yz
x= 10
And prove
(x-5y)+7z= 12
x-y =12-7z
x = 5+5y
x=10
as x-5 (=5+7z) = 12
Have got the right answer here. Hope it helps.
Please help me with this.
Answers
Answer: The volume is 3560.76 in^3 or 1134π
Step-by-step explanation:
The formula for the volume of a cylinder is πr^2*h
so the radius is 9 and the height is 14 so we will put that into the formula and solve.
v=3.14 * 9^2 * 14
v= 3.14 * 81 *14
v = 3560.76 in^3 or 1134π
much love if u answer <3 <3"▵EHG ≅ ▵KFC; Which is a true statement?
A. EH ≅ FK
B. HG ≅ KF
C. EG ≅ KC
D. ∠E ≅ ∠C"
Answers
EXPLANATION:-
EH = KF
HG = FC
EG = KC
E=K
H=F
G=C
Susan's car is 4 yards long. Alexa's car is 16 feet long. When you line them up one in front of the other, how long are they together. Answer in feet
Answers
Answer:
28 feet long together
Step-by-step explanation:
in 1 yard there is 3 feet so in 4 yards it would be 3(4) which is 12. add 12 to 16 and you get 28
Answer:
28 feet
Step-by-step explanation:
A yard is 3 feet, so
4 yards*3 feet=12 feet.
12 feet+16 feet=28 feet
Check if your school has given you a conversion sheet to use. Some schools might also ask you to memorize it, but it's pretty simple. Hope this helps and good luck on your endeavours.
20 POINTS + BRAINLIEST! NEED HELP FAST!
This table represents a function.
Plot points to represent the function as a graph
x y
−4 10
0 8
4 6
10 3
Answers
Answer:
those x and y numbers are your point so (-4,10) would be your first point
Step-by-step explanation:
kelly is hanging shelves in her closet. She can buy sheleves for $1.25 a foot. Kelly buys one 5-foot shelf and a shelf that measure 24 inches. The rest of her materials cost $90. How much change will she get it she pay with $100? please explain and show your work
Answers
The 24 inch shelve is 2 feet ( 1 foot = 12 inches)
She bout 7 feet of shelves (5 + 2 = 7)
The total cost for the shelves was 7 x 1.25 = $8.75
She spend an additional 90 so her total spent was 90 + 8.75 = $98.75
Now subtract her total from 100 to find the amount of change:
100 - 98.75 = 1.25
The change was $1.25
Need help with this pls
Show work pls!!
Answers
Answer: 9.2
Step-by-step explanation:
Answer:
9.2
Step-by-step explanation:
Hoped this helped!
Identify the transformation from ABC to A’B’C
Answers
Study the patterns and write down :
(a) Row 5
(b) Row n
(c) Row (n+1)
Answers
Answer:
a) Row 5: 75 - 216 - 51
b) 3n² - (n+1)³ - (71-4n)
c) 3(n+1)² - (n+2)³ - (67-4n)
Step-by-step explanation:
Column 3:
Arithmetic sequence with common difference: 63-67 = -4
an = 67 + (n-1)(-4)
an = 67 - 4n + 4
an = 71 - 4n
Row 5: 3×5² - (5+1)³ - (71-(5×4))
Row 5: 75 - 216 - 51
Row n: 3n² - (n+1)³ - (71-4n)
Row n+1: 3(n+1)² - (n+1+1)³ - 71-4(n+1)
Row n+1: 3(n+1)² - (n+2)³ - (67-4n)
Answer:
Column 1
Tn= 3n²
row n= 3n²
row n+1= 3(n+1)²
When n=5,
T₅ = 3(5)²
T₅ = 75
Thus, row 5= 75
Column 2
Tn= (n+1)³
row n= (n+1)³
row n+1
= (n+1+1)³
= (n+2)³
When n=5,
T₅ = (5+1)³
T₅ = 6³
T₅ = 216
row 5= 216
Column 3
Notice that the terms decrease by 4 with each row.
This means that there is a common difference of -4.
Common difference formula
Tn= a +d(n-1)
where a is the first term and d is the common difference.
Tn= 67 -4(n-1)
Now, simplify the formula
Tn= 67 -4n +4
Tn= 71 -4n
Row n= 71 -4n
Row n+1
= 71 -4(n+1)
= 71 -4n -4
= 67 -4n
when n=5,
T₅= 71 -4(5)
T₅= 51
Row 5= 51
Row n is the general formula for the pattern. To find the n+1 row, susbt. n+1 into n in the formula in row n.
Choose the number that is a solution of the inequality: a + 9 < 5
A) -2
B) 5
C) 0
D) -5
( i kept getting -4 am i wrong or are the choices wrong?)
Answers
help help helphelp help helphelp help helphelp help helphelp help helphelp help help
Answers
Answer:
b
Step-by-step explanation:
20, the coefficient of this expression, is being divided by x, the variable. Therefore, the correct answer is b, division. Hope this helps!
Answer:
Division
Step-by-step explanation:
/ symbol mean division
If ABCD were reflected across the x-axis, A' would be located at (1,4).
True
False
Answers
Geometric or arithmetic
1/3,2/3,1 4/3
Answers
Answer:
Arithmetic.
Step-by-step explanation:
See if it's arithmetic:
2/3 - 1/3 = 1/3
1 - 2/3 = 1/3
4/3 - 1 = 1/3
- common difference of 1/3 so it's arithmetic.
Help PLEASE I AM GOING TO FAIL MY CLASS
Answers
Answer:
9. (-1,3)
11. (4,1)
Step-by-step explanation:
Hope it helped
Which is the rate of change for the interval between 3 and 6 on the x-axis? –3 –2 2 3
Answers
Answer:
2
Step-by-step explanation:
multiplier of 2..
-------
Answer:
Which is the rate of change for the interval between 3 and 6 on the x-axis?
Step-by-step explanation:
c- 2
Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation 2x2 + 4x + 8 = 0.
Which explanation could Anderson provide?
The equation has no real number solutions because the discriminant is 0.
The equation has one real number solution because the discriminant is 0.
O The equation has no real number solutions because the discriminant is less than 0.
The equation has two real number solutions because the discriminant is greater than 0.
Mark this and return
and Exit
Next
Submit
Answers
Answer:
No real number solutions.
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
The discriminant is b² - 4ac
• If b² - 4ac > 0 the equation has 2 real and distinct roots
• If b² - 4ac = 0 the equation has 2 real and equal roots
• If b² - 4ac < 0 the equation has no real roots
Given
2x² + 4x + 8 = 0 ← in standard form
with a = 2, b = 4 and c = 8, then
b² - 4ac = 4² - (4 × 2 × 8) = 16 - 64 = - 48 , thus
The equation has no real number solutions because the discriminant is < 0
Answer:
It's c
Step-by-step explanation:
Please help me! I really need it! Will award Brainliest+30 points!
Thanks!
Answers
Answer:
1023
Step-by-step explanation:
[tex]8^{0}[/tex] = 1, [tex]8^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{8}[/tex] = 2, [tex]8^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{8^2}[/tex] = 4, [tex]8^{1}[/tex] = 8
The series can be expressed in non exponent terms as
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 ← 10 terms
There is a common ratio r between consecutive terms, that is
r = 2 ÷ 1 = 4 ÷ 2 = 8 ÷ 4 = .... = 2
This indicates the sequence is geometric with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 2, thus
[tex]S_{10}[/tex] = [tex]\frac{1(2^{10}-1) }{2-1}[/tex] = 1024 - 1 = 1023
nanette installed a security system in her office for $150. the monthly monitoring fee is $30. so far, nanette has spent $420 for her security system. for how many months has she had the service?
Answers
Answer:
9 months.
Step-by-step explanation:
Well we subtract the one time fee of $150 from $420
420-150=270
Now we need to divide $270 by $30, the price she pays every month.
270÷30=9
She has had the service for 9 months.
What are numbers 9 and 10
Answers
Answer:
9) not factorable
10) not factorable
Step-by-step explanation:
that's probably why you were having a hard time (-_-)
pls help i give u brainliest amd 5 stars
Answers
Answer:
160
Step-by-step explanation:
60-24=36 left
24 x 8 = 192
36/2=18
9 x 12 =108
108+192=300
300-140= 160 euros profit
I need help. This is hard for me. Please help
Answers
Answer: This is what I got -3.5 + 8.3 + (2/4 - 3) x 5*2 - 6.7
Please help, I don't understand how to do it
Answers
a rectangular prism and a isosceles triangular prism
when u have the figures separated use the formulas for the each
rectangular prism formula- A=2(wl+hl+hw)
isosceles triangular prism formula- a= 2b+ph
add both surface areas to get the answer
Witch of the following is an example of conditional statement? A. I have to wear rain boots when it rains. B. Grass grows after the rain. C. If it rains, then the ground gets wet. d. The ground is wet after the rain.
Answers
Answer: C. If it rains, then the ground gets wet.
Step-by-step explanation:
A conditional statement in math is a statement in the if-then form.
Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.
x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction
What is Tyler’s error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power x cubed should be in the numerator and the power y Superscript 9 in the denominator.
The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.
Answers
Answer:
D. The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.
Step-by-step explanation:
The correct simplification is the following:
[tex]\frac{x^{-3}}{y^{-9}} = [/tex]
[tex]= \frac{1}{x^3} \times \frac{1}{y^{-9}} =[/tex]
[tex]= \frac{1}{x^3} \times y^{9} =[/tex]
[tex]= \frac{y^{9}}{x^3}[/tex]
Answer:
The answer is D)
Start Fraction 1 Over r Superscript 7 Baseline End Fraction + Start Fraction 1 Over s Superscript 12 End Fraction
Step-by-step explanation:
Did the Test Zero & Negative Exponents on Engenuity.
answer need FAST plz.
Answers
Answer:
-5
Step-by-step explanation:
5*-5=-25
5*1=5
A negative plus positive decreases in value
so -25+5=-20
Solve for y
5x + y = -10
Answers
Answer:
y=-(x/5)-2
Step-by-step explanation:
5x + y = -10
y=-(x/5)-2
BRAINLIST AND 30 PTS ASAP
Answers
Answer:
3*3*3*3
Step-by-step explanation:
3^4
The exponent means how many times the base is multiplied
3*3*3*3
3x3x3x3
you have to multiply 3 4 times
Each visit to a water park costs $19.95. An annual pass to the park costs $89.95. Write an inequality to represent the number of times you would need to visit the park for the pass to be a better deal. Use x for your variable. Do not use $ in the response PLS help
Answers
Answer: 19.95 x >89.95
Step-by-step explanation:
Hi, to answer this question we have to write an inequality using the information given:
The cost of each visit (x) is 19.95. That expression must be higher than the cost of the annual pass (89.95).
Mathematically speaking:
19.95 x >89.95
Feel free to ask for more if needed or if you did not understand something.
Answer:
what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8
Step-by-step explanation:
Which problem can be shown using the equation 2x8=16
Answers
Answer: The second one, “A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 times as far as the rabbit
Answer:
the last one
Step-by-step explanation:
A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 more feet than the rabbit.