The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c
The standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
The function is given as:
[tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex]
Factor out (x - 2)^2
[tex]\mathbf{f(x) = (x - 2)(x - 2) - 3}[/tex]
Expand the expression
[tex]\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}[/tex]
Simplify the like terms i.e. add -2x and -2x
[tex]\mathbf{f(x) = x^2 - 4x + 4 - 3}[/tex]
Simplify the like terms i.e. add 4 and -3
[tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
Hence, the standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
Read more about standard form at:
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Answer:
the one above is all right except its a positive 4x, the question was
f(x) = (x + 2)2 - 3
not
f(x) = (x - 2)2 - 3
the real answer is: f(x) = x^2+4x+1
Could you please help me
Thank you x
Answer:
25.5 divided by 100 =255.Then 255-50+60 =255-110=145 therefore x=145
you are welcome
regards
reedemk
2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.
Answer:
length=10inches
width=18inches
Step-by-step explanation:
length=x
width=x+8
perimeter=2l+2b
56=2x+2(x+8)
56=2x+2x+16
56-16=4x
4x=40
x=40/4
x=10
Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?
243/15
11
-15/243
33
From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.
The average rate of change of a function p(x) over an interval [a,b] is given by:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].
The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].
Hence:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
[tex]A = \frac{204 - 39}{20 - 5}[/tex]
[tex]A = 11[/tex]
The average daily change in the share price from d = 5 to d = 20 is of 11.
A similar problem is given at https://brainly.com/question/20732437
A television weighs 50 pounds and a microwave
weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?
Answer:
Step-50*t + 30*m = 1500, (1) (pounds)
4*t + 3*m = 138. (2) (cubic feet)
From (2), express 3m = 138 - 4t, and substitute it into (1). You will get
50t + 10*(138-4t) = 1500, or
10t = 1500 - 1380 ---> 10t = 1120 ---> t = 112 TVs.
From this point, find the number of microwaves on your own.
step by-step explanation:
Jessica is a custodian at Oracle Arena. She waxes 20 square meters of the floor in 3/5 of an hour. She waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?
Kelly runs a bakery that sells Chocolate Blizzards and Mint Breezes. The bakery must make at least 25 dozen and at most 45 dozen Chocolate Breezes. The bakery must make at least 2 dozen and at most 15 dozen Mint Breezes. Each dozen of Chocolate Blizzards requires 5 ounces of flour while each dozen of Mint Breezes requires 9 ounces of flour. The bakery only has 315 ounces of flour available. If a dozen Chocolate Blizzards generates $2.92 in income, and a dozen Mint Breezes generates $2.11 in income, how many dozen of each dessert should Kelly make to maximize profit? Show all work. I just need the equations I would need to get this answer.
What is a_50 of the arithmetic sequence 45, 40, 35, 30.
Answer:
5s
Step-by-step explanation:
45-5=40
What is the value of x?
A hexagon (6 sides)
133°
112°
x°
120°
128°
100°
please help asap, no links
Answer:
X is 120° I hope this helps you
What is an equation of the line that passes through the points (0, 0) and (- 4, - 5) ?
Answer:
y=5/4x
Step-by-step explanation:
(A fraction)
what is the answer??????
Answer:
1) B. 1 1/322) A. 1.8
Solution:
2 3/4 as an improper fraction is 11/4.
2 2/3 as an improper fraction is 8/3.
11/4 ÷ 8/3
11/4 ÷ 3/8 (reciprocal method)
11/4 × 3/8 (change the operation to multiplication)
11/4 × 3/8 = 33/32 (multiply)
33/32 ⇒ 1 1/32 (simplify)
1 4/5 as an improper fraction is 9/5.
9/5 ⇒ 1.8
A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
To show that triangle RPQ=triangle PSR by SSS, what must be the value of x?
Juana buys a computer for $785.00. Her local sales tax is 6.85%. How much does Juana pay for the computer, including tax?
Answer:
838.7725
Step-by-step explanation:
-8 + x - 2 - 5x
Plssss
Answer:
-4x-10
Step-by-step explanation:
This is the answer if you are simplifying the expression.
Answer:
− 4 − 8
Step-by-step explanation:
Do not round your answer. Type in just the number. 0.48 is what percent of 1.6
Answer:
30 percent
Step-by-step explanation:
That is not rounded. Just straight, plain, 30 percent.
Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.
Solving the inequality, it is found that the correct interpretation of the solution is:
Reina's family can drive 83 more miles before they need to refill the gas tank.
The amount x of miles they can still travel is modeled by the following inequality:
[tex]221 + x \leq 304[/tex]
To solve it, we treat it similarly to an equality, hence:
[tex]x \leq 304 - 221[/tex]
[tex]x \leq 83[/tex]
Hence:
Reina's family can drive 83 more miles before they need to refill the gas tank.
A similar problem is given at https://brainly.com/question/11713066
The answer prior to this is WRONG. The correct answer is "at most 83" miles.
im literally on my last braincell please help omg
an arithmetic sequence is given
-18, -13, -8, -3...
write an explicit formula for the nth term
Answer:
its going up by 5 every time
Step-by-step explanation:i think that would help i dont know if it was obvious
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
12
Step-by-step explanation:
there is no x in the question
what does the slope of jessicas function represent?
tyia
Answer:
The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.
Step-by-step explanation:
So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.
Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?
factorize the expression below pls help giving brainliest
Answer:
See answer below
Step-by-step explanation:
2b(2ab)² - a(2b²)² = XaY³(z - b)
[tex]2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)[/tex]
[tex]8a^2b^3 - 4ab^4 = XaY^3(z - b)[/tex]
[tex]4ab^3(2a-b) = XaY^3(z - b)[/tex]
X = 4
y = b
z = 2a
Which of the following ordered pairs
make this equation true?
y =
= 10x - 30
A. (1, -12)
B. (8, 1)
C. (4, 10)
D. (6, 20)
The ordered pairs that make this equation true is (4, 10)
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the linear equation: y = 10x - 30:
At (1, -12): y = 10(1) - 30 = -20 ≠ -12
At (8, 1): y = 10(8) - 30 = 50 ≠ 1
At (4, 10): y = 10(4) - 30 = 10
At (6, 20): y = 10(6) - 30 = 30 ≠ 20
The ordered pairs that make this equation true is (4, 10)
Find out more at: https://brainly.com/question/13911928
What is the sum for:
(2x−6)+4(x−3)
Answer:
6x - 18
Step-by-step explanation:
2x - 6 + 4x - 12 = 6x - 18
First, distribute the 4 and then combine the like terms to get 6x - 18.
Answer:
x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parenthesis to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides by 6.
6x-18
6x/6-18/6
x=-2
Which set of ordered pairs (x,y)(x,y) could represent a linear function?
help me please i’ll give you a brain list thingy thank youu
Answer:
Are the triangles similar?
1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate
2) SAS Postulate
3) congruent by ASA Postulate
4) SSS Postulate
5) congruent by AAS Postulate
6) SAS Postulate
Isosceles and Equilateral Triangles
1) by isosceles something triangle theorem
if two angles of opposite sides are congruent the sides opposite of those are congruent.
4x-12=20
x=8
2) Triangle Sum Theorem - all angles add up to 180.
with Isosceles triangle theorem.
x= 70 degrees
y= 40 degrees
3) 2x-14 = x+17 ( I think )
x=34
4) The picture is cut out.
Step-by-step explanation:
(3 questions for 40 points)
7. Given XPS = DNF, find the values of x and y
8. Given MTW = BGK, find the values of x and y
9. Given PRS = CFH, find the values of x, y, and z
Sheila predicted that the Doja cat concert would have 310 people attend. Only 220 attended. Find the percent Error Show your work
Answer: 29%
Step-by-step explanation: 220 out of 310 attended. This mean the error percentage is 90/310. Dividing 90 by 310, we get the answer of around 29%.
Would appreciate brainly <3
what’s the system for 5x+21y=103 and -5x+23y=29
PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3
1- how much time will it take for elena to pay back all the money she borrowed
Answer:
Well according to the graph it took Elena 6 weeks to pay her brother back
Step-by-step explanation:
Well the slope is -3, techincially she’s giving back 3 dollars every week, it starts from 18 dollars borrowed.
3 dollars every week until 18 dollars is 6 weeks. Plus the graph shows that the line reaches 0 when it crosses the “6” in weeks
Maria scar' gets 28 miles to the gallon. How many miles is her round trip to work