Write an equation for each representation of a quadratic function given below.
Answers
Let, us assume that quadratic equation is :
[tex]y = ax^2 + bx + c[/tex]
Now, putting x = 0 and y = -4 :
[tex]c = -4[/tex]
Also, putting x = 1 and y = -3 :
[tex]ax^2 + bx + c =y\\\\a + b - 4 = -3 \\\\a + b = 1[/tex] ....2)
Also, putting x = 2 and y = 0 :
[tex]ax^2 + bx + c =y\\\\4a + 2b + c = 0\\\\4a + 2b = 4\\\\2a - b = 2[/tex]....3)
Solving equation 2 and 3, we get :
a = 1 and b = 0
Therefore, the quadratic equation is given by [tex]y = x^2- 4[/tex] .
Related Questions
9 ⅚ + 1 ¼ + ___________ = 14
Answers
Answer:
14
reeaADADSDDSSA
Step-by-step explanation:
[answer 1 11/12 or 2.917]
1. 9 5/6 + 1 1/4 = 11 1/12
2. 14 - 11 1/12 = 35/12 then you smiplfy to get 1 11/12 or 2.917
Consider the following 8 numbers, where one labelled x is unknown.
41, 13, 15, X, 46, 46, 23, 12
Given that the range of the numbers is 53,
Answers
Answer:
X = 65.
Step-by-step explanation:
The range is the greatest number - least, so we have:
X - 12 = 53
X = 53 + 12 = 65.
Answer:
I think x=65
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
Gabriella went shopping for a new video game. The listed price of the video game was $47, but the price with tax came to $51.23. Find the percent sales tax.
Answers
Answer:
The anser is 9
Step-by-step explanation:
Hi please help. i’ve been stuck on this for 5 minutes
Answers
2x-6> -16 and 3x-10≤8 Graph the solution to this inequality on the number line.
Answers
Answer:
Go to desmos. com and you can graph and see the points of it
Step-by-step explanation:
Desmos. com <----- It's going to be your friend dude
Math10. com
What is the vertex of the function defined as
g(x) = f(x – 5) + 3?
Answers
Answer:
f=gx−3/x−5
Step-by-step explanation:
Step 1: Flip the equation.
fx−5f+3=gx
Step 2: Add -3 to both sides.
fx−5f+3+−3=gx+−3
fx−5f=gx−3
Step 3: Factor out variable f.
f(x−5)=gx−3
Step 4: Divide both sides by x-5.
f(x−5)/x−5=gx−3/x−5
A helicopter travels 640 miles in 4 hours and 960 miles in 6 hours. Find the slope in miles per hour.
Answers
Answer:
160 miles per hour
Step-by-step explanation:
640/4=160
960/6=160
PLEASE HELP ME ASAP
The m
Answers
Find the solutions to the quadratic. *
y = (x + 13)(x - 21)
Answers
Answer:
[tex]\huge\boxed{-13, 21}[/tex]
Step-by-step explanation:
The most common way to solve for the roots of a polynomial is to use the Quadratic formula, which will return us with two values of x that make the equation equal 0.
...however, this form of the equation is already in root form. If we multiplied these two terms, we'd get [tex]x^2 - 8x -273[/tex], and when we factor that, we'd get -13 and 21.
Roots are usually written in the form [tex](x-a)(x-b)[/tex], where the zeroes will be the value of x that makes each binomial equal 0 - aka, the opposite of a and b.
The opposite of 13 is -13, and the opposite of -21 is 21.
Therefore, the solutions of this equation are -13 and 21.
Hope this helped!
Michael is purchasing back to school supplies. He gets a math workbook for $19.88, a calculator for $35.97, and a pack of pencils for $8.27. How much did he spend on school supplies?
Answers
Answer:
$64.12
Step-by-step explanation:
Michael is purchasing back to school supplies. He gets a math workbook for $19.88, a calculator for $35.97, and a pack of pencils for $8.27. How much did he spend on school supplies?
The amount that he spent on school supplies is calculated as:
Cost of math workbook + Cost of a calculator for + Cost of a pack of pencils for
$19.88 + $35.97 + $8.27
= $64.12
Answer:
$64.12
Step-by-step explanation:
PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?
10 HOURS
40 HOURS
50 HOURS
90 HOURS
Answers
Answer:
40 hours
Step-by-step explanation:
first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours
What is the Mark the absolute minimum point of the graph
Answers
Answer:
is in the point x = 1, y = -5
Step-by-step explanation:
The absolute minimum of a graph is the point that is the most far below the x-axis.
Such that if we draw a horizontal line parallel to this point, this line should not intersect the graph in another point. It is usually associated with the lowest value of the variable y.
In the graph, we can see that in the extremes we have dots, so the graph does not continue.
Then we can be sure that the absolute minimum is at the bottom of the large curve, that is in the point x = 1, y = -5
Find the difference 0.2 - 0.05 =
Answers
Answer:
0.2-0.05=0.15
Step-by-step explanation:
0.2=0.20
0.20-0.05=0.15
The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.
To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:
0.2 - 0.05 = 0.15
The difference between 0.2 and 0.05 is 0.15.
When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.
Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.
Therefore, the difference in the tenth place is 0.
Since there are no other place values to subtract, the resulting difference is 0.15.
Learn more about subtraction here:
https://brainly.com/question/1927340
#SPJ6
HELP WILL MARK BRANNIEST!
Answers
Answer:
up all the way right all the way down allthe way
Step-by-step explanation:
I need help with this question...
Answers
Answer:15
Step-by-step explanation:
since we are solving for y, we want to isolate y on one side.
6x+6=5y+10
-10 -10
6x-4=5y
divide both sides by 5
6/5x-4/5=y
PLEASE HELP! DUE TOMORROW 1-8-21 !! Look at these equations. Write each equation in slope-intercept form. Are these equations the same or different? Explain. I don’t know how to do the middle equation so please show work for that.
Answers
Answer:
y = 2x-4
all the equations are the same as the slope-intercept form is the same for all the equations
Step-by-step explanation:
slope-intercept form:
[tex]y = mx + b[/tex]
2x-3 = y+1
i) move y to the left-hand side and change its sign-y+2x-3 = 1
ii) move 2x-3 to the right-hand side and change its sign-y = 1-2x+3
iii) add the numbers-y = (1+3)-2x
-y = 4-2x
iv) change the signs on both sides of the equationy = -4+2x
v) use the commutative property to reorder the terms( commutative property: the number on which we operate can be moved or swapped from their position without making any difference to the answers )
y = 2x-4
how do yo do this question I have to
Solve the System by Substitution:
y = x-2
x + y = 4
Answers
Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?
Answers
Answer:
the answer is 1/3
Step-by-step explanation:
7207689984 !!!!!!!!!!!!!!
Answers
Answer:
838494393928262829292928288!!!!!!!!!!!!!!!$
Triangle ABC Triangle DFE. What is the measure of Angle E in degrees?
Answers
Answer:
Angle E is 30⁰
Explanation:
If triangle ABC= triangle DFE then they are both the same it's just that in this case the triangles are mirrored meaning that Angle C= Angle E
Making Angle E: 30⁰
ah hurry!
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick the number 3 and then picking the number 6.
A: 1/100
B: 1/10
C: 3/10
D: 6/10
Answers
Answer: A
Step-by-step explanation: 10x10=100
Find the value of x.
34
х
30
x =
Answers
Answer:
If you're multiplying them: 34x * 30x = 1020x^2
If you're adding them: 34x + 30x = 64x
If you're subtracting them: 34x - 30x = 4x
Step-by-step explanation:
how many feet are in 2 miles 300 feet?
Answers
A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?
A. 35
B. 42
C. 25
D. 17
E. 32
Answers
Answer:
Step-by-step explanation:
A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?
A. 35
B. 42
C. 25
D. 17
E. 32
i need help.....plz.
hopefully u can solve the problem
but i need the answer asp
Answers
Answer:
I believe the answer would be 4 :) hope this helps
the answer is definitely 4
Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.
Answers
Answer: 16 yards would be your answer
The scale factor of ABCD to QRST is 1:2
The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.
Rectangle ABCD has a width of 8 yards and a length of 20 yards.
Rectangle QRST is similar to rectangle ABCD.
Rectangle QRST has a length of 40 yards.
Scale factor:Therefore, the scale factor of ABCD to QRST can be calculated as follows:
let
x = width of rectangle QRST
8 / x = 20 / 40
8 / x = 1 / 2
x = 16
The scale factor of ABCD to QRST is 1:2
Perimetersperimeter ABCD = 2(8 + 20) = 56 yards
perimeter QRST = 2(16 + 40) = 112 yards.
learn more on similar rectangles here: https://brainly.com/question/8956702?referrer=searchResults
Find the missing value
7/8 = x/28.8
WITH WORK
Answers
Answer:
[tex]\displaystyle x = 25.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7}{8} = \frac{x}{28.8}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 201.6 = 8x[/tex]Isolate x term: [tex]\displaystyle 25.2 = x[/tex]Rewrite: [tex]\displaystyle x = 25.2[/tex]PLEASE HELP ASAP! FOR BRAINLIEST
Answers
Equation 1-
Let’s use (f) as a exponent (point slope)
y= -11/5x + 1/5x + 1
Exact value of y is 8x/5
Using the slope intercept form
Equation 2 is
y=5/8x^2 -2x -61/8
Hope this helps
Brainliest please :)
Arian has 780 in a savings account that earns 2.5% simple interest annually. How much money will be in her account if she does not make any deposits or withdrawals in 2 years?
Answers
Answer:
819
Step-by-step explanation:
We solve the above question using simple interest
The formula for the total amount in a bank amount when it earn simple interest annually is:
A = P(1 + rt)
When
P = Initial amount in the account = 780
r = Simple Interest rate = 2.5% = 0.025
t = 2 years
A = 780(1 + 0.025 × 2)
A = 780(1 + 0.050)
A = 780(1 .050)
A = 819.00
The amount of money that will be in her account if she does not make any deposits or withdrawals in 2 years is 819.
The circumference of a circle is 7.4mm.
Find the length of the diameter.
Give your answer rounded to 3 SF.
Answers
Answer:
2.355cm
Step-by-step explanation: