Answer: x(x+1)(x-1)
Step-by-step explanation:
x²+x=x(x+1)
x²-1=(x+1)(x-1)
x²-x=x(x-1)
ans:x(x+1)(x-1)
Step-by-step explanation:
What is the vertex of the graph of the function f(x) = x2 + 6x + 9?
0 A. (-3,0)
B. (0, -3)
C. (0, 3)
O D. (3, 0)
The vertex of the given quadratic function is (-3, 0).
What is vertex form of a quadratic equation?The vertex form of a quadratic equation or function is [tex]f(x)=a(x-h)^{2} +k[/tex].
Where,
(h, k ) is the vertex
And, a is constant.
According to the given question
We have a quadratic function
[tex]f(x) = x^{2} + 6x + 9[/tex]
The above function can be written as
[tex]f(x) = x^{2} +2(3x) +9[/tex]
⇒[tex]f(x) = x^{2} + 2(3x) + (3^{2}) -(3)^{2} + 9[/tex]
⇒[tex]f(x) = (x+3)^{2} -9+9[/tex]
⇒[tex]f(x) = (x+3)^{2} + 0[/tex]
Comparing the above equation with the standard vertex form of quadratic function we get
h = -3 and k = 0
Hence, the vertex of the given quadratic function is (-3, 0).
Thus, option A is correct.
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what is the difference between m∠A and ∠A?
thank you so much!!
Answer:
The measure of an angle is a numerical value. <A just refers to the angle itself.
Step-by-step explanation:
Mike owes his friend $4. Each day, Mike earns $2.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and yvalues represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the x-intercept mean? What does the y-intercept mean?
(d) Does the situation involve direct variation or not? If it does, justify your answer. If it does not, describe
how the situation would need to change in order for y to directly vary with x. Then, write a direct
variation equation based upon the changed situation.
please help!!! :(
Answer:
C
Step-by-step explanation:
A 1288.1 kg car is traveling at 24.1 m/s when the driver takes his foot off the gas pedal. It takes 4.4 s for the car to slow down to 20 m/s. How large is the net force slowing the car? Answer in units of N.
what is the answer for this question?
Answer:
18
Step-by-step explanation:
Hope this helps
Evaluate and solve for the variable and please show your work.
-2=y+5
x – 7 = 4 + 10
–2x + 3x – 5 = 6 – 21
70 = 7m
4 – 14 = 5x
2y + 3y = 4 – 6 – 13
Answer:
Step-by-step explanation:
-2 = y + 5
- y -2 = 5
- y = 5 + 2
- y = 7
y = -7
-2x + 3x – 5 = 6 – 21
x – 5 = 6 – 21
x – 5 = -15
x = -15 + 5
x = -10
70 = 7m
7m = 70
m = 10
4 – 14 = 5x
-10 = 5x
5x = -10
x = -2
2y + 3y = 4 – 6 – 13
5y = 4 – 6 – 13
5y = -15
y = -3
Answer:
I took I quiz and the answers are correct
Step-by-step explanation:
:) :) :) :) :) :) :)
round 314,759 to the number of the underlined digit
Answer:
Um I think that it might be 315,000 if that's what they mean
Is the following formula recursive or explicit? *
Uo = 13
Un = Un-1 - 3
Answer plz
Answer:
Recursive.
Step by step explanation:
N is the number of the term in the sequence, so Un-1 is the term previous to Un and since you’re subtracting 3 from the previous term, that means it’s recursive
Your bank account balance is -$1.56. You deposit $10. What is your new account balance?
Answer:
$8.44
Step-by-step explanation[tex]10+(-1.56)=8.44[/tex]
Answer:
$8.44
Step-by-step explanation:
There is -$1.56 in your account already.
You add $10 to that amount
-$1.56+$10 = $8.44
A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?
Answer:
t ≤ 15
Step-by-step explanation:
Let t = tables
6 * 15 + 2* t ≤ 120
90 + 2t ≤ 120
2t ≤ 30
t ≤ 15
Use the formula an = aj(r)a- to write a formula for the geometric sequence below.
3, 6, 12, 24, 48, ...
Answer:
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2 , thus
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
Why do candidates want to win states
like Texas, Florida, and New York?
Does anyone know the answer to this??
Answer:i know something about it:
the AEB thingy is the angle that has the 5x- 10 thing. if you know what the 5x thing means, then you subtract the 5x mystery number from 10. and if you see the points A,E, and B, those are the angle points.
Step-by-step explanation:
i'm sorry that i didn't know about all the things, but i hope you know what the 5x thing is.
a unit rate is a rate in which the unit in the denominater is?
Answer: a unit rate is a rate with 1
Step-by-step explanation:
All of the following statements are true, except . . .
The product of a and c is negative.
The product of b and c is positive.
The product of b and 0 is 0.
The product of a and b is positive.
Answer:
The product of b and c is positive.
Step-by-step explanation:
b is negative as its less than 0
c is > 0 and is thus positive
multiply these would be negative result
Answer:
The product of b and c is positive.
Step-by-step explanation:
had this question
(-12x^8 – 2v) - 11x^8
Answer:
-23[tex]x^{8}[/tex]-2v
Step-by-step explanation:
write the equation of the line through the points: (5,-3) & (4,0) Part A In point slope form: A: y-5=3(x=3) B: y+5=(-1/3)(x-3) C: y+3=-3(x-5) D: y-3=(1/3)(x+5)
Answer:
y+3= −3(x−5)
Step-by-step explanation:
random characters ahhajsbsbsllaannxx
Which compound inequality is represented by the graph?
GU
-5 -4 -3 -2 -1 0 1 2
3
4 5
-35x<1
-3
O xs-3 or x > 1
O x<-3 or 21
The compound inequality represented by the graph is -3 ≤ x < 1
From the graph, we have the following highlights
The line number starts from -3 and ends at 1The dot at 3 is closed, while the dot at 1 is openedThe above means that:
-3 is included in the inequality values, while 1 is not.
Hence, the compound inequality represented by the graph is -3 ≤ x < 1
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Table function rule of y=4x+1
Answer:
y=5
Step-by-step explanation:
y equals 5 because x is 1 when you get it alone
Lee combines 7.63 ounces of strawberries with 5.26 ounces of blueberries to make a fruit bowls. He pours the fruit equally into 2 bowls, and has 1.37 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
7.63 ounces of strawberries + 5.26 ounces of blueberries
7.63 + 5.26= 12.89 - 1.37 left over = 11.52 to be split between 2 bowls equally
11.52/2 = 5.76 per bowl
5.76 ounces of fruit in each bowl.
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given,
strawberries = 7.63 ounces
blueberries = 5.26 ounces
Put the fruits into two equal bowls in equal amounts
let the amount be x
remaining amount = 1.37 ounces
According to the statements, we can state that,
2x + 1.37 = 7.63 + 5.26
2x = 11.52
x = 5.76
Therefore, the two bowl contains 5.76 ounces of fruit each.
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Brian compared the absolute values of the numbers−12,34,and−14.Arrange the numbers from least to greatest.
Answer:
-12, -14, 34
Step-by-step explanation:
This graph shows part of Ahmed's journey to the gym and back.
(a) Work out Ahmed's speed on his way to the gym.
(b) How long did Ahmed take in the gym?
Give your answer in minutes.
(c) Ahmed took half an hour to travel back home.
What was Ahmed's speed on his way home?
Step-by-step explanation:
the graph is not showing
hard questions (for me anyway) pls help
Answer: 1. 80 2. 1/3 3. -300 4. 120 pages Equation: 0.7p = 84, p=120
What is 1 3/8 minus 5/8
Answer:
-4 (-2/8)
Step-by-step explanation:
1-5=(-4)
3-5=(-2)
hope this helps :3
Answer:
3/4
Step-by-step explanation:
Someone please help me with this. Btw this is 6th grade math
Answer: Ratio is N/S = 4/1 (simplest form), two equations: N=4S and S=1/4N
Step-by-step explanation:
Ratio is 4:1. 4 nails per shelf
El cubo de la quinta parte de un número
Answer:
125
Step-by-step explanation:
Given f(x) = 3x^2 - 6x + 2 find f(3)
HELP PLEASE ‼️‼️‼️
Answer: 47
Step-by-step explanation:
You simplify it giving you 47
Answer:
f(3)=11
Step-by-step explanation:
3(3)^2=27
-6(3)=-18
27-18+2=11
Perimeter is a measure of the distance around a figure. If each side of a triangle measures 0.75 inches, what is the perimeter of the triangle?
Answer:
The perimeter of a triangle is the sum of all its three sides.
So,
0.73+0.73.0.73 = 2.19in
The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
144
277
156
25
Answer: 144
Answer:
144
Step-by-step explanation:
300 divided by 13
If 15% of x is 42, what is x?
The required whole value of x is 280 if 15% of x is 42.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
To determine the value of x, we can set up the equation: (15/100)x = 42.
This equation states that 15% of x is equal to 42.
To solve for x, we can divide both sides of the equation by (15/100) to get:
x = (100/15) × 42
x = 280
So x = 280.
This means that if 15% of x is 42, then the whole value of x is 280.
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Find the value of m and YZ if Y is between X and Z.
Step-by-step explanation:
we know that xy+yz=xz
so if we fill in what we know
5m+1m=25
solve from there