Answer:
[tex]3x^2[/tex]
Step-by-step explanation:
[tex]12x^4-6x^2+9x^2[/tex]
Let's break down these terms into three parts; our number, our base (variable), and our power (exponent).
First, let's think of a number that could be factored out of the numbers 12, 6, and 9. If you're thinking of the number 3, you'd be correct.
Second, look at the bases. We can see that the variables in these terms are all [tex]x[/tex], so we can combine that with our number 3.
Third, look at the powers. We can see that the exponent of 2 can be factored out, so let's combine that with our 3x:
[tex]3x^2[/tex]
To put that in perspective:
[tex]3x^2(4x^2-2+3)[/tex]
_
To check your work, you can distribute the greatest common factor into the parentheses:
[tex]3x^2(4x^2-2+3)[/tex]
[tex]12x^4-6x^2+9x^2[/tex]
Suppose a 24-acre plot of land is being divided into (1/3)-acre lots for 10 poir
a housing development project. What is the greatest number of lots
possible in the development? *
O 8 lots
O 27 lots
O 56 lots
O 72 lots
Answer:
72 lots
Step-by-step explanation:
2. Camilla adds 2 cucumbers for every 5 tomatoes in a veggie mix. What
is the ratio comparing cucumbers to tomatoes? *
Another function I hate these things :C can someone help!
Answer:
No, this is not a function.
Step-by-step explanation:
This is not a function because not every input goes to exactly one output. In this example, 2 is listed twice. 2 goes to both 4 and 8. Because of this, it is not a function.
Please show work I need help asappp 96 points
Answer:
5. a. Consecutive interior angles.These types of angles are supplementary.
b. x + 75 +x +125 = 180
=> 2x = 180–200
=> 2x = –20
=> x = –20/2
=> x = –10
Bonus question:-
angle 1 = 48°
angle 2 = 180° –78°
= 102°
value of f :-
f + 48 + 102 = 180
=> f + 150 = 180
=> f = 180–150
=> f = 30°
Pls help me with this
Select all input values for which f(x)=6
Choose all answers that apply:
a) x=-7
b) x=-5
c) x=2
d= none of the above
Answer: none of the above
Step-by-step explanation: there is no such input value.
Answer:
None of the above because none of the other answers make sense
Step-by-step explanation:
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can someone help the lesson is about ordering.
Answer: [tex]3 \le x \le 5[/tex]
x is any real number between 3 and 5, including both endpoints
================================================
Explanation:
If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.
For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations
1/2 = 0.500
1/3 = 0.333
We see that 1/2 is larger.
-----------
The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].
We've broken the single inequality into two smaller parts.
The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]
------------
Let's solve the first inequality for x
[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]
Repeat for the other inequality as well
[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]
-------------------------
We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]
This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]
please help me with this
Answer:
C) [tex] {6}^{6} [/tex]
Explanation:[tex] \frac{ {6}^{9} }{ {6}^{3} } = {6}^{9 - 3} = {6}^{6} [/tex]
Select the equivalent expression.
Answer:
B
Step by step explanation:
Y3 becomes y×3=u3
25 becomes 2×5=10=
Y3-10 squared=
Y3-210
A soccer ball is punted in the air. Its height after x seconds can be modeled by a quadratic function. The soccer ball reaches its maximum height of 85 feet after 3 seconds. The ball is trapped at a height of 2.5 feet, 6 seconds after being kicked. Write a quadratic function that models the height of the soccer ball, x seconds after being kicked.
Answer:
[tex]-9.31x^2+56.26x[/tex]
Step-by-step explanation:
Let the quadratic function be:
[tex]h=ax^2+bx+c[/tex]
Where [tex]h[/tex] is the height of soccer ball and
[tex]x[/tex] is the time in seconds.
Initially, at time [tex]x=0\Rightarrow h=0[/tex]
Therefore, [tex]c=0[/tex]
Given that,
[tex]x=3, h=85\\and\\x=6, h=2.5[/tex]
Putting the values and making equations in [tex]a,b[/tex] :
[tex]85=9a+3b\\2.5=36a+6b[/tex]
By solving the above equations, we get:
[tex]a=-9.31\\ and\\b =56.26[/tex]
So, the quadratic expression is:
[tex]-9.31x^2+56.26x[/tex]
Suppose a basketball player has made 291 out of 389 free throws. If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,
[tex]P(\text{free throw})=\frac{291}{389}=0.7481[/tex]
The probability that he makes the next 2 free throws is:
[tex]P(\text{Next 2 free throws})=(0.7481)^{2}=0.5596[/tex]
The payout rules are:
If the player makes the next 2 free throws, I will pay you $38. Otherwise you pay me $50.Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)
[tex]=($38\times 0.5596)+(-$50\times (1-0.5596))\\=21.2648-22.02\\=-0.7552\\\approx -$0.76[/tex]
Thus, the expected value of the proposition is -$0.76.
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
Answer:
Step-by-step explanation:
x + 64 > = 120 (thats a greater then or equal sign)
x > = 120 - 64
x > = 56...he needs to collect at least 56 more
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
[see below]
Step-by-step explanation:
[tex]w=5(3a-b)+2\\\\w-2=5(3a-b)+2-2\\\\w-2=5(3a-b)\\\\\frac{w-2=5(3a-b)}{5}\\\\\frac{w-2}{5} =3a-b\\\\\frac{w-2}{5} +b=3a-b+b\\\\\frac{w-2}{5} +b=3a\\\\\frac{\frac{w-2}{5} +b=3a}{3}\\\\ \frac{w-2+5b}{15}=a\\\\ \boxed{a= \frac{w-2+5b}{15}}[/tex]
Hope this helps.
There are 72 eight grade students and 84 sixth grade students participating in the Fun Run competition. The students will be put into groups among their own grade and into the largest possible equal groups with no students left over. How many students will be in each group? Group of answer choices
Answer:
12 students
Step-by-step explanation:
Given that:
Eighth grade student = 72
Sixth grade student = 84
To group the students into the largest possible equal group with no student left, obtain the greatest common factor of the number of sixth grade and eighth grade student
Factors of 72:
72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 81
The greatest factor common in both numbers is 12.
3.2666 rounded to the nearest hundredth
Answer:
3.27
Step-by-step explanation:
Hope it helps!!!
Find the distance between points M(6,16) and z (-1,14) to the nearest tenth
Answer:ririiriririrjrhr
Step-by-step explanation:
Eudueuei3iei
Trinity is saving for a robot. She saves $222 in one year. How much did she save each month?
Answer:
$18.5
Step-by-step explanation:
222 ÷ 12 = 18.5
how can you find odd numbers that u can put as a fraction
Answer:
Fractions are not even numbers or odd numbers, because they are not whole numbers. They are only parts of numbers, and can be written in different ways.
Step-by-step explanation:
BRAINLIEST PLEASE HELP DUE IN 1 HR AND 30 MIN (22-45)
Step-by-step explanation:
Okay, don't panic. Use M-a-t-h-w-a-y. It's online and it can help with all of these problems. <3 I currently have my own OVERDUE math test to do, so I would do this all but I'm time-tight too! aha
Which points on the number line represent the quotients of these expressions?
12 devided by (-6)
-15 devided by (-3)
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
it has 2 or 3 numbers as the answers
plz answer correctly...
Answer:
-25Step-by-step explanation:
Expressions given and solved
12/ (-6) = - 2 -15 / (-3) = 5-------------------------------------------------
-7 -6 -5 -4 -3 |-2|-1 0 1 2 3 4 |5| 6 7
24-3x=-6x+22
Please answer x as a fraction
Answer:
I believe if you have a letter with no value or the value is unknown you put it over 1
Answer:
x = -2/3
Step-by-step explanation:
24 - 3x = -6x + 22
solve using inverse operations
24 - 3x = -6x + 22
+ 6x + 6x
24 + 3x = 22
-24 -24
3x = -2
/3 /3
x = -2/3
Which number is SMALLER? -5/6 or -0.94
Hello.
The greater the negative number, the smaller (in value) it is.
-5/6 = -0.83
-0.83 (-5/6) < -0.94
Solve. X^2+8x=9
a. What number should be added to both sides of the equation to complete the square?
b. Solve for x by completing the square
help!!!!!!!!!!!!!!!!!
Answer:D
Step-by-step explanation:s aThe function is always increasing because wether the value of x increases or decreases, the value of f(x) is increasing as well
which is the distance between 1, -4 and 1, 18
Answer:
22
Step-by-step explanation:
cancel the 1 and add 18+4=22
Which mathematical property is illustrated? ab + c = c + ab
Answer:
Distributive Property
Step-by-step explanation:
a(b + c) = ab + ac
Answer:
Commutative property
Step-by-step explanation:
plz give brainliest lol
identify the slope of the represented by the equation below. y=-1 / 4 x + 7
y=-3X+5
Answer:
M=-1/4
Step-by-step explanation:
Use the slope intercept form y=mx+b to find the slope m.
Answer:
The slope of the equation: y=-1/4x+7 is -1/4
The slope of the equation: y=-3x+5 is -3
Step-by-step explanation:
It is easier to think of the slope at the number behind the x variable. But algebraically, y=mx+b is the formula and the number that is in the value of m is the slope of the linear function.
You are renting a beach house for the summer. The cost of renting the beach house plus the one-time security deposit is represented by the equation y = 151x + 575 , where represents the number of days that the beach house is rented and y is the total cost of the rental. What is the cost of the security deposit ?
Answer:
The security cost is 575
Step-by-step explanation:
Given
[tex]y = 151x + 575[/tex]
x = days
y = cost
Required
Determine the security deposit
From the equation, we understand that
x represent days:
This implies that
151x represent the payment for x days.
So, the security cost is 575
1. If f(x) = x2 + 4, evaluate f(6).
A 16
B) 40
C) 12
D) -16
what is itttt ????
Answer:
If it is square: B) 40. If not squaring 2 use: A) 16.
Step-by-step explanation:
f(6)= (6)^2 + 4 = 40
f(6)= 2(6) + 4 = 16
