Answer:
[tex]50<x<150[/tex]
Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.
So, Ryan's total carb intake must be between 50 and 150 carbs.
Step-by-step explanation:
So he wants to keep his consumption of carbs between the inequalities:
[tex]110<2x+10\text{ and } 2x+10<310[/tex]
So, let's solve both inequalities.
1)
[tex]110<2x+10[/tex]
Subtract 10 from both sides:
[tex]100<2x[/tex]
Divide both sides by 2:
[tex]50<x[/tex]
2)
[tex]2x+10<310[/tex]
Subtract 10 from both sides:
[tex]2x<300[/tex]
Divide both sides by 2:
[tex]x<150[/tex]
So, our inequality is now:
[tex]110<2x+10\text{ and } 2x+10<310[/tex]
Since we solved the equations:
[tex]50<x\text{ and } x<150[/tex]
Written as a compound inequality, this is:
[tex]50<x<150[/tex]
In other words, Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.
So, Ryan's total carb intake must be between 50 and 150 carbs.
Answer:
110
Step-by-step explanation:
Let f(x)=2x-5 and g(x)=x^2
Perform the function operation (f-g)(x)
Answer:
2x - 5 - x²
Step-by-step explanation:
note (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 2x - 5 - x²
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
Every month, Carmine's savings account pays 0.049% interest on the amount in the account. If
she has $1,100.00 in the account at the beginning of the month and doesn't withdraw any of it,
what will be the interest payment for this month?
$53.90
$49.00
$0.54
S0.49
Answer:
interest rate (r)=0.049%
principal (p) =1100
Time (t)= 1/12
interest = (1100*1/12*0.049)/100 = 0.045
please check question once
Plz help me I need help
Answer:
c has greatest ratio output with 0.6 compared to other
Step-by-step explanation:
HELP ME PLSEASE I NEED THIS <33
Since the measure of angle DOC = 44 degrees and it's the central angle of arc DC, the measure of arc DC = 44 degrees
The purpose of economic systems is
-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
Resolved
1. 2(y+4) +4 (2y+2)
Answer:
10y+16
Step-by-step explanation:
Distribute and combine like terms
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:
helppp first to answerr will be marked as brainlist
Answer:
A
Step-by-step explanation:
in the end of the sentence it mentions "in the future" so you need to make that verb future tense as well
I think the correct answer is A.
Explanation: It just makes the most sense to me. I dont really know how to explain it any better! Im sorry! I hope this helped!! :)
Solve this equation for x: 3x - (5x - 9) - 7- 4(x + 1)
Step-by-step explanation:
this is your answer..........
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
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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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
Simplify 3/100 +33/100, correct to 1 decimal place.
Answer:
Step-by-step explanation:
3/100+33/100=36/100=0.36≈0.4(round to one decimal place)
Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 4 and translated up 2 units.
Answer:
g(x) = 4|x| +2
Step-by-step explanation:
f(x) = |x|
y = f(x) + C C > 0 moves it up
g(x) = |x| +2 moves it up 2 units
y = Cf(x) C > 1 stretches it in the y-direction
g(x) = 4|x| +2 stretch by 4
We start off with: f(x) = |x|
c > 0 means move up
y = f(x) + c
2 units up
After: g(x) = |x| + 2
c > 1 means y-direction stretch
y = cf(x)
4 unit stretch
After: g(x) = 4|x| + 2
Best of Luck!
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
(-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
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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I WILL GAVE BRAINLIEST!!!!!!!!!!!!!!!!!!!
Answer:
31
Step-by-step explanation:
Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.
Step 1: Combine like-terms.
2x + 118 = 180
Step 2: Subtract 118 from both sides to isolate the variable.
2x = 62
Step 3: Simplify
x = 31
A computer programmer works 40 hours per week. what is the equation that relates to the number of hours "h" that the programmer works and the number of weeks "w" that the programmer spends working?
Answer:
h = 40w
Step-by-step explanation:
40 per week
hours = 40 x amount of weeks
h = 40w
Help quickly please~❤️❤️
Answer:
-6-b
Step-by-step explanation:
find the location of A' given that A is (3,7) reflect across the x-axis the location of A' is (,)
Answer:
A' (3, - 7 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , thus
A(3, 7 ) → A'(3, - 7 )
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
6[12-(5+2)]+6(4•|-6|)
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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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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Are angles 1 and 2 a linear pair? Yes or no.
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. :)
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