Rewrite the function f (x) = 3 (x - 1)^2 – 2 in the form f(x) = ax^2+bx+c
Answers
Answer: 3x^2-6x+1
Step-by-step explanation:
In this question, you just have to foil out the expression and multiply things out to get the results. Rewrite it if you need so you can caluate it like what I did in this picture.
3(x^2-2x-1)-2
3x^2-6x-3-2
F(x) = 3x^2-6x-5
Related Questions
simplify polynomials -3x²+2x-x³+4-7x²
Answers
Answer:
-(x^2 + 10x^2 - 2x - 4)
Step-by-step explanation:
which of the following could be the lengths of the sides of a triangle?
a. 1,2,1
b.2,3,1
c.3,5,4
d.7,15,7
Answers
Answer:
C
Step-by-step explanation:
The general rule is that any two leg lengths must exceed the third.
A) won't. 1 + 1 = 2. The 2 ones lay flat across the 2.
B) 2 + 1 = 3. Won't work for the same reason as A
C) works fine. Any 2 will exceed the third.
D) can't happen. 7 + 7 < 15.
Please help with this math problem
3x + 6 ≥ 24
Answers
Answer: 1X52=73
Step-by-step explanation:
(WILL GIVE BRAINLIEST AND 50 POINTS ) A small town voted to decide if a road should be expanded from two lanes to four lanes. The two-way table below shows the results of the vote.
Favor Oppose Neutral Total
Age
18-25 33 12 46 91
Age
26-40 45 15 36 96
Age
40+ 10 29 24 63
Total 88 56 106 250
Which correlation does the two-way table suggest?
A.
Voters age 40 and over are least likely to favor road expansion.
B.
Voters between the ages of 18 and 25 are least likely to favor road expansion.
C.
Voters between the ages of 26 and 40 are most likely to oppose road expansion.
D.
The majority of the voters are most likely to favor road expansion.
Answers
Answer:
A. Voters age 40 and over are least likely to favor road expansion.
Help ?? Is it true of false ??
Answers
Answer:
True
Step-by-step explanation:
Im not 100% sure it is true but i hope this helps ^^
A pair of sneakers that originally cost
$95 went on sale for 40% off. What's
the new price?
Answers
Answer:
57 dollars
Step-by-step explanation:
95-40%
95 - 38 = 57 dollars.
help plsssssss someone
Answers
Answer:
672
Step-by-step explanation:
Solve for y. 2(3y-7)=16
Answers
Answer:
y=5
Step-by-step explanation:
First, distribute the 2 to the 3y and -7
6y - 14 = 16
Second, add 14 to both sides.
6y = 30
Third, divide both sides by 6
y = 5
As you can see y equals 5!
I hope the explanation helped and have a great day!
Answer:
y = 5
Step-by-step explanation:
2(3y - 7) = 16
distributive property:
2(3y - 7) = 16
6y - 14 = 16
add 14 on both sides
6y - 14 + 14 = 16 + 14
6y = 30
divide both sides by 6 :
[tex]\frac{6y}{6} = \frac{30}{6}[/tex]
y = 5
to check, subtitute 5 for y
2 (3(5) - 7) = 16
2(18 - 7) = 16
30 - 14 = 16
16 = 16
(pythagoras theorem | year 9)
Answers
Answer:
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
or
c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.
I hope this helps a little bit.
Kelsha purchased a prepaid phone card for $30. Long distance calls cost 21 cents a minute using this card. Kelsha used her card only once to make a long distance call. If the remaining credit on her card is $22.44, how many minutes did her call last?
Answers
Answer:
2.646
Step-by-step explanation:
Match each fraction with an equivalent fraction
2/8 1/4
4/8. 1/3
6/10. 3/5
1/2
Answers
Answer:
down here (no pair for 1/3 so i made one up)
Step-by-step explanation:
2/8 = 1/4
4/8 = 1/2
1/3 = 2/6
6/10 = 3/5
Which one of these statements correctly states Pythagoras' Theorem for the following diagram?
a) d 2 = e 2 − f 2
b) d 2 = e 2 + f 2
c) e 2 = d 2 + f 2
d) f 2 = d 2 + e 2
Answers
Answer:
I couldn't really read the problem that well, but if there's an e^2+f^2=d^2, then that's probably the correct option.
Step-by-step explanation:
Pls help LOL I need helo
Answers
How do you solve an inequality, then verify the solution by subsituting 3 different numbers?
Answers
Answer and Step-by-step explanation:
To solve an inequality, you must solve for the variable. Let's look at an example:
4x + 2 > 10
We solve for x by subtracting 2 from both sides, then dividing 4 on both sides.
(Solve as if you were solving a regular equation)
4x > 8
x > 2
We get x > 2 as our inequality.
To plug in 3 values, simply plug in any number that is greater than 2. That would be the solution to the inequality.
If when solving the inequality and you have to divide by a negative, the sign will change. Ex:
-5x > 25
x < -5
To show that the sign should switch, let's solve it this way.
-5x > 25
0 > 25 + 5x Add the 5x to both sides.
-25 > 5x Subtract the 25 from both sides
-5 > x Divide by 5 from both sides.
As we can see, the inequalities turn out to be the same, which is why you flip the sign when you divide.
#teamtrees #PAW (Plant And Water)
A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?
Answers
Answer:
53.2 ft
Step-by-step explanation:
A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?
We solve the above question using the Trigonometric function of Sine
sin theta = Opposite/Hypotenuse
Theta = 70°
Hypotenuse = x = Length of the wire
Opposite = 50ft antenna
Hence,
sin 70 = 50/x
Cross Multiply
50 = sin 70 × x
x = 50/sin 70
x = 53.208888624 ft
Approximately x = 53.2 ft
The length of the wire is 53.2 ft
(2-3)(x-3X2)
Which is the simplified form of the expression
(4-2)(x4) )
?
4x2y 16
4
2..16
X
4
1
14
4
14,8
Answers
Answer:
9x³-9x²+2x
Step-by-step explanation:
Let the expression be given as
(2-3x)(x-3x²)
Expand
= 2(x)-2(3x²)-3x(x)-3x(-3x²)
= 2x - 6x² -3x²+9x³
Rearrange
= 9x³-6x²-3x²+2x
= 9x³-9x²+2x
Hence the simplified form of the expression is 9x³-9x²+2x
0.87 divided by 0.03
Answers
Answer:
29
Step-by-step explanation:
0.03 goes into 0.87 29 times
If you do 87/3 you get 29
same thing goes for 0.87/0.03
0.746 as a fraction pls help
Answers
please help. my grade in math is terrible all i want is help please.
Charmaine buys candy that costs $5 per pound. She will spend less than $45 on candy. What are the possible numbers of pounds she will buy?
Use P for the number of pounds Charmaine will buy.
Write your answer as an inequality solved for P.
Answers
Answer:
45 divided by 5 = p
p= 9.
....
what are the x intercepts of the graph of the function (x-2) (x+1)
Answers
Answer:
The X intercepts would be -1 and 2
Answer:
There are two x-intercepts.
Step-by-step explanation:
They are in the picture attached below.
meter in length. What
The fairy fly is one of the world's smallest insects. It may measure no more than 1.39 x 10
the total length of 2 of these insects, placed end to end?
A 2.78 x 10-8 meter
B. 2.78 x 10
-4
aft
meter
C. 1.39 x 10
-8
meter
D. 1.39 x 10
0--2
meter
Answers
Explanatory-
the letters of the alphabet are written on pieces of paper and put into a hat. they are then pulled out and not replaced.
a) what is the chance of pulling out an A and then a Z in two consecutive turns?
b) starting again, what is the chance of pulling out two vowels in two consecutive turns?
Answers
Answer:
A: 3.84% chance.
B: 23.08% chance
The chance of pulling out an A and then a Z and two vowels in two consecutive turns will be 1 / 650 and 2 / 65, respectively.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The letters of the alphabet are written on pieces of paper and put into a hat. they are then pulled out and not replaced.
Then the total number of letters of the alphabet will be 26.
Then the chance of pulling out an A and then a Z in two consecutive turns will be given as,
P = (1 / 26) x (1 / 25)
P = 1/650
The chance of pulling out two vowels in two consecutive turns will be given as,
P = (5 / 26) x (4 / 25)
P = 20 / 650
P = 2 / 65
The chance of pulling out an A and then a Z and two vowels in two consecutive turns will be 1 / 650 and 2 / 65, respectively.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Express the function.
f(x) = 2x² - 4x - 13
in the form f(x) = a(x + h)² + k
Answers
Answer:
2(x-1)^2-15
Step-by-step explanation:
2x^2-4x=2(x-1)^2-2
insert that in:
f(x)=2(x-1)^2-2-13=2(x-1)^2-15
a=2,h=-1,k=-15
Ruth is two times as old as Margie, and Lily is 10 years older than Ruth. If Lily is 60 years old, how old is Margie? (Let m represent the age for Margie and r represent the age for Ruth in years)
Answers
Answer:
25 years
Step-by-step explanation:
Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.
PRICE LIST
carrots: 50p per kg
potatoes: 64 per kg
onions: 42p per kg
Chicken: £6 per kg
She pays with a £20 note.
Work out the change that Mehvish should get.
Answers
Answer:
The amount of change will be £7.99
Step-by-step explanation:
Here, we want to calculate the amount of change that Mehvish should get
1/2 kg carrots at 50 p per kg will be;
1/2 * 50 = 25 p
3 kg potatoes at 64 p per kg will be
3 * 64 = p 192
2 kg onions at 42 p per kg
2 * 42 p = 84 p
1 1/2 kg chicken at £6 per kg will be:
since £1 is 100 p
1.5 * 6 = £9 (9 * 100 p = 900p)
since £1 is 100 p
£20 will be;
20 * 100 = 2,000 p
So let us make the subtraction as follows;
2,000- 900 - 84-192 - 25 = 799 p
In pounds, this is divided by 100
we have this as 799/100 = £7.99
Please someone give me correct answer to this problem.
I need help!!!!
I will mark you brainliest for the correct answer.
Please help!!!!!!!!!!!!!!!!!!!☹
Answers
Answer:
The answer is 128 degrees
Please help! Will give Brainliest!
Answers
Answer:
A
Step-by-step explanation:
Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)
Answers
Answer:
B
Step-by-step explanation:
They both equal 121
Tell whether the triangle is a right triangle. Show Work.
Answers
Answer:
This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm
Step-by-step explanation:
To confirm if a triangle is a right triangle, we must use the Pythagorean thm
a^2 + b^2 = c^2
23^2 + 11.4^2 = 21.2^2
529 + 129.96 = 449.44
658.96 ≠ 449.44
Simplify 3^2 ⋅ 3^5.
3^7
3^10
9^7
9^10
Answers
Answer: 135, 21, 30, 63, 90
Step-by-step explanation: