Using it's concept, it is found that the domain of the function is [tex]0 \leq x \leq 182[/tex], that is, the constraints are:
x is of at least $0.x is of at most $182.The domain of a function is the set that contains all possible values for the functions.
In this problem, the input of the function is how much he spends on food.
His budget is of $182, hence, considering this and the fact that he cannot spend a negative amount on food, the constraints are that x is between $0 and his budget of $182(inclusive), and the domain is [tex]0 \leq x \leq 182[/tex].To learn more about the domain of functions, you can take a look at https://brainly.com/question/25897115
The domain of a function is the set of input values the function can have.
The constraints on the domain are: the amount (x) is at least $0, and it is at most $182
From the question, Dev's budget on food is given as:
[tex]Budget = \$182[/tex]
This means that, he cannot spend more than $182.
Represent the amount with x.
So, we have:
[tex]x \le 182[/tex]
Also, he cannot spend a negative amount.
So, we have:
[tex]x \ge 0[/tex]
So, the domain is:
[tex]x \ge 0[/tex] and [tex]x \le 182[/tex]
Rewrite as:
[tex]0 \le x[/tex] and [tex]x \le 182[/tex]
Combine both inequalities
[tex]0 \le x \le 182[/tex]
Hence, the constraints on the domain are: the amount (x) is at least $0, and it is at most $182
Read more about domain at:
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Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=
Answer:
x = -2.
y = 3.
Step-by-step explanation:
If y = 3x + 9
Substitute this value for y in the first equation.
4x + 5(3x + 9) = 7
4x + 15x + 45 = 7
19x = 7 - 45
19x = -38
x = -38/19
x = -2.
with this value of x, substitute -2 in the second equation
y = 3(-2) + 9
y = -6+9
y = 3.
check if your values are all correct
4(-2) + 5(3) = 7
-8 + 15 = 15 - 8 = 7
Correct!
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A (2,2) B (2,4) C (3,2) D (3,3)
Step-by-step explanation:
K = 1/2
K is the scale factor so the distance between points will be cut in half
A 4,4 new 2,2
B 4,8 new 2,4
C 6,4 new 3,2
D 6,6 new 3,3
Answer:
A = (2,2)
B = (2,4)
C = (3,2)
D = (3,3)
Step-by-step explanation:
Leave a brainliest if this helped
Use the Fundamental Theorem of Calculus to find y′. pls help
Use This Since You provided no context:
The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating the gradient) with the concept of integrating a function (calculating the area under the curve). ... This implies the existence of antiderivatives for continuous functions.
Domain and Range from this functions
F(x)= (1/4x-1)^3 +2
Answer:
Domain:(−∞,2)∪(2,∞),{x|x≠2}
Range:(−∞,0)∪(0,∞),{y|y≠0}
The verticles of a triangle are the points R(3,c),Q(9,2) and R(3c,11) where c is constant. Given that angle PQR is 90
Answer:
Step-by-step explanation:
Find c if ∠PQR = 90°?
I will ASSUME you mean point P is at (3. c)
slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6
slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)
perpendicular lines have negative reciprocal slopes.
(2 - c) / 6 = -1(3c - 9)/9
9(2 - c) = -6(3c - 9)
18 - 9c = -18c + 54
9c = 36
c = 4
1) f(4) = g(4)
2) f(4) = g(-2)
3) f(2) = g(-2)
4) f(-2) = g(-2)
Answer: 4)
Step-by-step explanation:
f(4) = -14
g(4) = 10
g(-2) = 4
f(2) = -8
f(-2) = 4
The correct statement is 4) f(-2) = g(-2)
Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and y = 4. So, f(-2) = g(-2) = 4 is true
TE Irene has a collection of 32 dolls that have either blue eyes or green eyes. She has 14 more green-eyed dolls than blue-eyed dolls. How many dolls of each type does Irene have? Let x represent the number of green-eyed dolls. Let y represent the number of blue-eyed dolls.
The formula
x + y = 32
Find our X value
y + 14 = x
Sub for x
(y + 14) + y = 32
Remove Parathesis
y + 14 + y = 32
Add
2y + 14 = 32
Subtract
2y = 18
Divide
y = 9
Sub for y
x + 9 = 32
Subtract
x = 23
Double Check:
9 + 14 = 23
23 + 9 = 32
I hope this helps! :)
what is 1800/1254
[tex]1800 \div 1254[/tex]
2(3x-12)=6(x-2)
PLEASE HELP!!!
Need help find the value of x
You go to a restaurant and get a bill for $95. You need to tip the waitress. The service was good so you decide on tipping the waitress 20%. What is the tip that the waitress will receive
Answer:
19 dollars.
Step-by-step explanation:
0.20 x $95.00=$19.00.
Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?
Answer:
1440
Step-by-step explanation:
Directions: Compare the sides and angles by filling in the blank with a < or > symbol.
The correct comparison as shown in the figures are:
QR < QSAB > CDm<FJG > m<HJGm<QSP > m<QSRFrom the given diagram, we are to fill in the blank spaces with a < or > symbol.
21) The measure of the angles is a function of the measure of the sides.
Since the angle facing the side QR is less than that of QS, hence QR < QS
22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB > CD
23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG
24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR
Learn more on angles here: https://brainly.com/question/16281260
PLEASE HELP
no linkss
Answer:
-5.2, -4.75, -9/2
Step-by-step explanation:
Which choice is equivalent to the product below?
V8,5
O A. 4/10
O B. 10-12
C. 13
O D. 22/10
Answer:
Option D
2√10
Step-by-step explanation:
√8 • √5 = √8 × 5 = √40 = 2√10
Thus, √8 • √5 = 2√10
-TheUnknownScientist 72
HELP!? ✋
What strategies help prevent cancer?
Select all that apply.
Question 8 options:
using sunscreen
avoiding tobacco
getting enough sleep
eating a healthy diet
can someone please find the slope for this?
rotate point B about point F 288 degrees clockwise
When a shape is rotated, it must be rotated through a point
The new position of point B is point A
The angle of rotation is given as:
[tex]Angle = 288^o[/tex]
The shape is a regular pentagon (with 5 sides).
The smallest angle of rotation that maps the pentagon onto itself is calculated using:
[tex]\theta = \frac{360}n[/tex]
So, we have:
[tex]\theta = \frac{360}5[/tex]
[tex]\theta = 72[/tex]
Let the number of rotations be n.
So, we have:
[tex]\theta \times n= Angle[/tex]
This gives
[tex]72 \times n= 288[/tex]
Divide both sides by 72
[tex]n= 4[/tex]
This means that the new position of B is 4 points away from B.
Point A is 4 points away from B, in clockwise direction
Hence, the new position of point B is point A
Read more about rotation at:
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What is the greatest possible error for a measurement of 2 fluid Ounces?
Answer:
2.35
Step-by-step explanation:
2 x 2 eqaul 9 times 2
Help help math math
Answer:
There are 24 different combinations.
Step-by-step explanation:
2x4x3= 24
Please hurry and answer!
This graph gives growth of a plant overtime what is the slope of the line, and what does the slope mean in situation
select from the drop down menus to correctly complete the statement
The slope is blank which means that the plant blank by blank everyday
Using the slope of the linear function, it is found that:
The slope is of 0.5, which means that the plant grows by 0.5 inches each day.A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is by how much the output y changes when the input x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
x is the time in days.y is the height in inches.Two of the points are: (0,0) and (2,1).
The slope is given by change in y divided by change in x, hence:[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]
Then, applying the interpretation:
The slope is of 0.5, which means that the plant grows by 0.5 inches each day.To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622
Answer:
hes correct. the slope is 0.5 and it grows 0.5 inches everyday
Step-by-step explanation:
For the following problem, y varies directly as x If y = 34 when x = 4 , find y when x is 3.
Answer:
Step-by-step explanation: plug in 3 for X and then solve
Give me 5 stars
❗100 POINTS ❗
FOR a correct explanation of why this ain't right
I'm forced to do this 4 sb and I fr dk what HOW THIS ISNT CORRECT?!
pls help
thx
Factors of 36 are the list of integers that we can split evenly into 36. There are overall 9 factors of 36 among which 36 is the biggest factor and its positive factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Pair Factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6) and its Prime Factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36
Negative Factors of 36: -1, -2, -3, -4, -6, -9, -12, -18 and -36
Prime Factors of 36: 2, 3
Prime Factorization of 36: 2 × 2 × 3 × 3 = 22 × 32
Sum of Factors of 36: 91
Factors of a number are the numbers that divide the given number exactly without any remainder. According to the definition of factors, factors of 36 are those numbers that exactly divide 36 leaving no remainder. In other words, we can say if two numbers are multiplied and the product is 36, then the numbers are factors of 36.
Let us do a hit and trial method to find factors of 36.
Divide 36 ÷ 2 = 18
Quotient = 18, remainder = 0
Now multiply 18 × 2 = 36
Hence, 18 and 2 are the factors of 18.
36 is a composite number as it has factors other than 1 and itself.
We can use different methods like the divisibility test, prime factorization, and the upside-down division method to calculate the factors of 36.
The most common method we use to find factors is the prime factorization method.
In prime factorization, we express 36 as a product of its prime factors.
In the division method, we see which numbers divide 36 exactly without a remainder.
Let us calculate factors of 36 using the following two methods:
Factors of 36 by prime factorization factor tree method
Factors of 36 by upside-down division method
Prime Factorization of 36 by Upside-Down Division Method
Now as discussed above, in the prime factorization method we show factors of 36 as a product of prime factors of 36. Follow the steps to find the prime factors of 36 by the prime factorization method.
With the help of divisibility rules, find out the smallest factor of the given number. Here, 36 is an even number. So it is clearly divisible by 2. In other words, 2 divides 36 with no remainder. Therefore, 2 is the smallest prime factor of 36.
36 ÷ 2 = 18. Now find the prime factors of the obtained quotient. Repeat Step 1 and Step 2 till we get a prime number as the quotient. Here, 18 is the quotient.
18 ÷ 2 = 9. Here, 9 is the quotient. Now find the prime factors of the 9.
9 ÷ 3 = 3. Here 3 is the prime number. So we can stop the process.
Prime factorization of 36 using upside-down division method is 2 × 2 × 3 × 3 = 2² × 3².
Prime Factorization of 36 by Factor Tree Method
The factor tree method is another visualization method to represent factors of 36. It also helps in determining prime factors of 36. A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6.
Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².
Explore factors using illustrations and interactive examples
Factors of 33: The factors of 33 are 1, 3, 11, and 33.
Factors of 34: The factors of 34 are 1, 2, 17, and 34.
Factors of 38: The factors of 38 are 1, 2, 19, and 38.
Factors of 30: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
Factors of 360: The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
Factors of 35: The factors of 35 are 1, 5, 7, and 35.
Factors of 37: The factors of 37 are 1 and 37.
Factors of 36 in Pairs
Factor pairs are the two numbers that, when multiplied, give the number 36. Find all of the factors of the number 36 using the steps below:
Step I: Start with 1 and the number itself.
Step II: Count up by ones to see if you can multiply two numbers together to get your target number.
Step III: Stop when you can’t get any more numbers in between.
Step IV: Connect the factor pairs.
Factor pairs of 36 are given below:
36 = 1 × 36
36 = 4 × 9
36 = 6 × 6
36 =12 × 3
36 = 18 × 2
Let us club the numbers in pairs.
The factors of 36 in pairs are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).
There are a total of 5 pairs of factors of 36.
We can have negative factors also for a given number.
Since the product of two negative numbers is positive [(-) × (-) = +].
The negative pair factors of 36 are (-1, -36), (-4, -9), (-6, -6), (-12, -3), and (-18, -2)
There are a total of 5 negative pairs of factors of 36.
Important Notes:
36 is a composite number as it has factors other than 1 and itself.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Pair factors of 36 are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).
1 is a factor of every number.
Prime factorization of 36 is 2 × 2 × 3 × 3 = 2² × 3².
Challenging Questions:
Find the factors of 3600 with the help of techniques used in finding factors of 36.
Prove that the factor of a number is always less than or equal to the number itself?
round 78300 nearest hundred
Answer:
78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300
Step-by-step explanation:
Hope this helps :)
What is the slope of the line (1,4) (3,2)
Step-by-step explanation:
the slope is the ratio of "y coordinate change / x coordinate change".
so, in our case here
x changes by +2 (from 1 to 3).
y changes by -2 (from 4 to 2).
so, the slope is -2/2 = -1.
Please help ASAP
Solve for X.
Answer:
86
Step-by-step explanation:
So the angle your trying to find has another angle 4 the triangle is a right triangle so 90-4=86
Hopes This Helps :)
WILL GIVE BRAINLIEST
Answer:the slope of the line is 5/3
The y-intercept is 0
Step-by-step explanation:
Answer:
C and E
Step-by-step explanation:
What is another way to write 54?
5×5×5×5
4+4+4+4+4
4×4×4×4×4
5+5+5+5
IT CANT BE NONE OF THE ABOVE
Answer: 5^2.48 is honestly as close as you can get.
Is this table proportional?
XY
1 3 3
4 12
5 15
7 21
PLEASE HELP WILL MARK BRAINLIEST
Answer:
[tex]f^{-1} (x) =x-11[/tex]
Step-by-step explanation:
[tex]f(x) = x+11\\\\\text{Write f(x) as y = x+11}\\\\\text{Replace x with y,}\\\\x = y+11\\\\\text{Solve for y}\\\\x=y+11\\\\\implies y= x-11\\\\\implies f^{-1} (x) = x-11[/tex]