Step-by-step explanation:
-2x=30-120
-2x = -90
=x = -90/-2
=x = +45
Does anyone know how to do this?
write an equation to represent m varies inversely as the square of q ?
Answer:
m = [tex]\frac{k}{q^2}[/tex]
Step-by-step explanation:
Given m varies inversely as q² then the equation relating them is
m = [tex]\frac{k}{q^2}[/tex] ← k is the constant of variation
Which are monomials?
CHECK ALL THAT APPLY.
-7
a
x + y
1/x
24r^2st^3
ab/5
bx
Answer:
Step-by-step explanation:
Monomials have only one term each.
Thus:
-7 is a monomial
a is a monomial
x + y is NOT a monomial ; it has two terms and is thus a binomial
1/x is a monomial
24r^2st^3 is a monomial
ab/5 is a monomial
bx
[tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.
What are monomials?"Monomials are defined as the polynomial which represents a single term. This single may consist of two or more numbers and variables with highest exponents."
According to the question,
From the given terms,
-7 is a single term .
Therefore, monomial.
a is a single term .
Therefore, monomial.
x + y is not a single term .
Therefore, it is not a monomial.
[tex]\frac{1}{x}[/tex] is a single term .
Therefore, monomial.
[tex]24r^{2} st^{3}[/tex] is a single term .
Therefore, monomial.
[tex]\frac{ab}{5}[/tex] is a single term .
Therefore, monomial.
b x is a single term .
Therefore, monomial.
Hence, [tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.
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My brother ate 4 of the cupcakes my mother just finished baking for her back sale. That was 2/5 of all of them! With how many cupcakes did she start with?
Answer:
10
Step-by-step explanation:
if 4 cupcakes were 2/5 of what she started out with, i divided 4/2 and got 2 so 2 cupcakes per 1/5, 2*5=10 so 5/5 is the 10 cupcakes
Point A is located at coordinates (-4,3). What are the new coordinates of A' after a a translation two units to the right, then a reflection using the x-axis?
Answer:
(-1,-3)
Step-by-step explanation:
after you find (-4,3) on the graph you move 2 units to the right which would become (-1,3)after that you go over the x-axis and you reflect (mirror) that and your answer is (-1,-3)I hope this help
if f(x)= -x^2 - 1, and
g(x)=x + 5, then
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(f(x))
g(-x^2 - 1)
-x^2 + 0x + 4= -x^2 + 4
Resolved
1. 2(y+4) +4 (2y+2)
Answer:
10y+16
Step-by-step explanation:
Distribute and combine like terms
It costs $14.40 for 4.5 pounds of beef. How much is the beef per pound?
A - $2.30
B - $3.20
C- .32
Can anyone help me ???
The cost of one pound beef is $3.2
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Cost 4.5 pound of beef = $14.40
So, the unit rate for beef
= 14.40 / 4.5
= $3.2
Hence, the cost of one pound beef is $3.2
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In a normal distribution, 51 is the score that is two standard deviations above the mean, and 36 is the score one standard deviation below the mean. Find the mean
Answer:
The mean is 41
Step-by-step explanation:
Here , we are interested in finding the mean.
Firstly, let the standard deviation be x and the mean be y.
We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.
Mathematically;
51 - 2(x) = y
y + 2x = 51 •••••••••(i)
We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36
Mathematically, that would be;
y-36 = x •••••••(ii)
Substitute ii into i directly;
We have
y + 2(y-36) = 51
y + 2y -72 = 51
3y -72 = 51
3y = 51 + 72
3y = 123
y = 123/3
y = 41
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Since the measure of angle DOC = 44 degrees and it's the central angle of arc DC, the measure of arc DC = 44 degrees
!!30 points!!
Are points A, B, and E collinear or noncollinear?
A. Noncolinear
ABE although they are in the same side, but they don't lie on the same line.
so its a noncolinear.
Answer:
ABE although they are in the same side, but they don't lie on the same line.
so its a noncolinear.
Step-by-step explanation:
At a hardware store, you can buy a set of four wrenches for seven dollars and a set of 16 screwdrivers for $28. The prices are proportional. True or false?
Answer:
Yes
Step-by-step explanation:
The constant is $1.75 each
Is -5 a integer or rational or irrational?
Answer:
irrational
Step-by-step explanation:
Answer:
It's rational because it isn't a decimal with no end. To simplify it even more, it is an integer.
Step-by-step explanation:
Solve this equation for x: 3x - (5x - 9) - 7- 4(x + 1)
Step-by-step explanation:
this is your answer..........
Mario travels 180 miles in 2.5 hours of Mario travels at the same right how far can Mario travel in 12.5 hours
Answer:
900 miles
Step-by-step explanation:
well if you have 12.5 and you divide it by 2.5 you get 5. I do this because you need to find out how many time 2.5 goes into 12.5 so you can then multiply 180 by that number. 180*5=900
{(1, 3), (2,5), (-3, -4), (4, -3) (5,-1)} the above is
a function or not a function
the answer is it is function
Round the following number to the place indicated: 65,327; thousands
65,330
70,000
65,000
65,300
Si en una proporción geométrica continua, la media geométrica es 24 y la razón es 2/3 ¿Cuánto es la diferencia de los extremos?. a)18 b)20 c)24 d)16 e)12
6[12-(5+2)]+6(4•|-6|)
6 over 7 subtracted by 1 over 7
Answer:
5/7
Step-by-step explanation:
6/7-1/7=5/7
The answer is 6/7 - 1/7 = 5/7
Step by step explanation is in the image below. :)
What is f(-2) of the function given below? *
f(x) = 3x2 - 4x + 1
Answer:
f(-2) = 21
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 4x + 1
f(-2) is x = -2
Step 2: Substitute and Evaluate
f(-2) = 3(-2)² - 4(-2) + 1
f(-2) = 3(4) + 8 + 1
f(-2) = 12 + 9
f(-2) = 21
Michael and Pedro both solved the equation: -5 + 7p + 14 + 11p = 9 (2p + 1) Michael says that there are no solutions to the equation. Pedro says that there are infinitely many solutions. Who is correct?
Answer:
Step-by-step explanation:
-5 + 7p + 14 + 11p = 18p + 9
18p + 9 = 18p + 9
0 = 0
Pedro is correct
Are angles 1 and 2 a linear pair? Yes or no.
Mt. Everest is 29,029 feet above sea level. The dead sea is 1,411 feet below sea level what is the difference between the elevations?
Answer:
30,440 feet
Step-by-step explanation:
You simply just add 29,029 and 1411 because if you picture it on a number line, 29,029 would be to get to zero as well as 1411 going up in elevation.
(-6) to the power of negative 5 in fraction form ,
Answer:
-6430041/50000000000
Step-by-step explanation:
so -6 to the power of negative 5 is -0.00012860082 which as a fraction is -6430041/50000000000
-3x + y = 22
-12x – 10y=-10
Answer:
x = -5, y = 7Step-by-step explanation:
-3x + y = 22 ⇒ y = 3x + 22
-12x - 10y = -10 and y = 3x + 22
-12x - 10(3x + 22) = -10
-12x - 30x - 220 = -10
+220 +220
- 42x = 210
÷(-42) ÷(-42)
x = -5
y = 3(-5) + 22 = -15 + 22 = 7
Function g is a transformation of the parent quadratic function f. Which statements are true about this function?
g(x) = -(x - 4)2 + 6
Select all the correct answers.
Function g reflected function facross the x-axis.
Function g translated the vertex from (0,0) to (-4,6).
For function g, as x approaches negative infinity, 8(x) approaches negative infinity.
Function g is always decreasing,
Function g is always negative.
Function g is symmetrical about the point (4,6).
Answer: Function g reflected function f across the x-axis.
For function g, as x approaches negative infinity, g(x) approaches negative infinity.
Function f is symmetrical about the point (4,6).
The correct options are Option A and Option C : Function g is reflected of function f across the x-axis. and as x approaches to the -∞, g approaches to the -∞.
Here given that the function g(x)= -(x-4)²+6
vertex of the graph of the function g is
dg/dx=0
⇒2(x-4)=0
⇒x-4=0
⇒x=4
putting x=4 in g(x) , g(4)= -(0-0)²+6=6
Hence the vertex of the graph of g is (4,6).
The parent function is f(x)= x²
here the vertex of the function is (0,0).
Option A: This option is true as the graph of function g is the inverse image of f. So, Function g is reflected of function f across the x-axis.
Option B: This option is incorrect. as the vertex of the function f is transformed to (4,6) which is the vertex of g(x).
Option C: This option is true because
[tex]\lim_{x \to- \infty} g(x)[/tex]
= [tex]\lim_{x \to- \infty} -(x-4)^2+6\\[/tex]
= -(∞-4)²+6
=-∞²+6
=-∞
Hence as x approaches to the -∞, g approaches to the -∞
Option D. This option is incorrect because
if the function is always decreasing its derivative is negative for all x∈R
dg/dx<0
⇒2(x-4)<0
⇒x-4<0
⇒x<4
so the function is decreasing for x<4 not for all x.
Option E: This option is incorrect. because g is not always rather it is positive for 4-√6 < x < 4+√6
g(x)>0
⇒-(x-4)²+6 >0
⇒-(x-4)²>-6
⇒(x-4)²<6
⇒|x-4|<√6
⇒4-√6<x<4+√6
so, g(x) is positive for 4-√6 < x < 4+√6
Option E:
This option is incorrect as g(x) is symmetrical about line x=4.
Therefore the correct options are Option A and Option C : Function g is reflected of function f across the x-axis. and as x approaches to the -∞, g approaches to the -∞.
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Please help due tonight very urgent being graded need help please Tom makes $25 an hour working at the local video game store. Over the past year he has saved $150 toward a new iPhone. If the iPhone cost $300, how many hours will he need to work to be able to buy the iPhone? make an equation or inequality and solve. Show your work
Hey there! I'm happy to help!
Tom has 150 already saved and for every hour he works, he will gain an extra $25. After h hours, he will have $300,
So, we multiply 25 by n, because for every hour he will have 25 added to his total, and repeated addition is multiplication, so we multiply 25 by n.
We add 150 as that is what we already have saved.
Finally, we want this to equal 300.
So, here is our equation.
25n+150=300
Now we solve. We subtract 150 from both sides.
25n=150
We divide both sides by 25.
n=6
Tom will have to work six hours to buy the iPhone.
Have a wonderful day! :D
Answer:
25(6)+150=300
Step-by-step explanation:
25x+150=300
25x=300-150
25x/25=150/25
x=6
Use the commutative property to write an equivalent expression to 4g + 13, and show that they are equivalent for g = 10 and g = 2. Complete the statements. If you change the order of the terms you can create the equivalent expression . After substituting 10 for g, the expressions are and . After substituting 2 for g, the expressions are 4(2) + 13 and 13 + 4(2). The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.
Answer: 1= ( 13 + 4g )
2= ( 4(10) + 13 )
3= ( 13 + 4(10) )
4= ( 53 )
5= ( 21 )
Step-by-step explanation:
The equivalent expression by cumulative property is,
[tex]4g+13=13+4g[/tex]
Commutative property :The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
[tex]a+b=b+a[/tex]
Given expression is, [tex]4g+13[/tex]
The equivalent expression by cumulative property is,
[tex]4g+13=13+4g[/tex]
For [tex]g=10[/tex],
[tex]4(10)+13=13+4(10)\\\\40+13=13+40\\\\53=53[/tex]
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Answer:
-6-b
Step-by-step explanation: