Question 5 (1 point)
Dev has a monthly food budget of $182. He maps the amount of money, x, he spends each month to the number of food items he buys.
What are the constrains on the domain?
O a
domain:x>182
Ob
domain: x20
Oc domain: x ≤182
Od domain: 0≤x≤182
Answers
For the function in the given case the constraint on domain can be written as x ≥ 182. The correct option is (a).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
Suppose the amount of money spent be x.
And, the number of food items be y.
Now, as per the question the function can be written as follows,
y = x/182
As the number of food items can only be positive integers, the values of x must be the multiples of 182.
Thus, the expression for the domain can be written as x ≥ 182.
Hence, the constraint on the domain is given as x ≥ 182.
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Related Questions
Stacy loaned Robert $21,370 at an interest rate of 10 % for 171 days. How much will Robert pay Stacy at the end of 171 days? Roundyour answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month.
Answers
The simple interest formula is :
\(A=P(1+rt)\)where A is the future amount
P is the principal amount
r is the rate of interest
and
t is the time in years
From the problem, we have :
P = $21,370
r = 10% or 0.10
t = 171 days or 171/365 year
Using the formula above :
\(\begin{gathered} A=21370(1+0.10\times\frac{171}{365}) \\ A=22371.17 \end{gathered}\)The answer is $22,371.17
Use the points (8, 12,800) and (14, 14,420) to enter and interpret the equation of the line of fit in slope-intercept form. y=
The cost of raising a child increases $ each year. The cost of raising a child from birth to age 1 is $ If the trend continues, what will be the approximate annual cost of raising a child born in 2013 at age 17? about $
Answers
the approximate annual cost of raising a child born in 2013 at age 17 is about $15,050, assuming that the trend of increasing cost per year continues. we first need to calculate the slope (m) and the y-intercept (b)
what do you mean by approximate ?
Approximate means "close to but not exactly" or "an estimate". In other words, an approximate value is a value that is not exact but is close enough to the actual value to be useful or meaningful in a given context.
In the given question,
To find the equation of the line of fit in slope-intercept form, we first need to calculate the slope (m) and the y-intercept (b) using the two given points (8, 12,800) and (14, 14,420).
m = (y₂ - y₁) / (x₂ - x₁)
m = (14,420 - 12,800) / (14 - 8)
m = 1,620 / 6
m = 270
b = y - mx
b = 12,800 - 270(8)
b = 10,940
Therefore, the equation of the line of fit in slope-intercept form is:
y = mx + b
y = 270x + 10,940
To use this equation to estimate the cost of raising a child born in 2013 at age 17, we can plug in x = 17 and solve for y:
y = 270x + 10,940
y = 270(17) + 10,940
y = 15,050
Therefore, the approximate annual cost of raising a child born in 2013 at age 17 is about $15,050, assuming that the trend of increasing cost per year continues.
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The scale from a playground to this drawing is 6 ft to 1 cm. The scale from the same
playground to another drawing is 3 ft to 1 cm. What are the side lengths of the playground in the other scale drawing?
Answers
Answer:
30 cm and 20 cm
Step-by-step explanation:
hope it helps
Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answers
Answer:
x > -5, so the correct answer is C.
King of Diamonds Industries has bonds on the market making annual payments, with 14 years to maturity, and selling for R1 482,01. At this price, the bonds yield 7%. What is the coupon rate?
Answers
The coupon rate of the bonds by King of Diamonds Industries would be 7 %.
How to find the coupon rate ?The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:
= (Coupon payment x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value / (1 + rate )^ number of years
1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14
103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x (1 - ( 1 + 0.07) ^ ( - 14) )
Using a calculator, C is $ 70.
This means that the coupon rate is:
= 70 / 1, 000
= 7 %
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please help asap (answer only if you know the question)
Answers
The Equation of bisector 5x-7y+3=0 which is a straight line.
What is bisector?A straight line that divides an angle of a triangle in equal value.
What is perpendicular bisector?The line that lies perpendicular to a side and goes through the midpoint of its length.
Given, coordinate H (-7,2), K (3, -4) and L (5,4)
we plot a triangle HKL with this point.
midpoint of side HK is found by (-7+3)/2 and (2-4)/2
hence, midpoint of HK is (-2,-1) is denoted by P
the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.
so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)
y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]
y+1 = 5/7×(x+2)
7y+7= 5x+10
5x-7y+3=0
hence, the equation of bisector is 5x-7y+3=0
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What is
100 + 100
Please I can't solve it.
Answers
Answer:
200
Step-by-step explanation:
Answer:
100+100 is 200 because if you add 100 to another 100 you will get 200 :)
perpendicular equation to 4x+3y=12
Answers
Answer:
3/4
Step-by-step explanation:
4×+3y=12
answer: m = 3/4
PLEASE HELP
-1/2m=-9
Show your work in details if you can, I have a hard time understanding this.
Answers
\( \begin{cases} \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: 18 \: \\ \end{cases}\)
Seventy percent of the children went on the excursion. If 27 stayed at school, how many went?
Answers
By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.
We are given that,
No. of children who stayed at school is 27,
Also, 70% of the children went on an excursion.
Suppose, the total number of children in percentage is 100%
Out of which 70% went on an excursion
Thus, the children who stayed at school is 100% - 70% = 30%
By using the Unitary method, we can find out the number of 70% of children.
If 30% of the children are 27
Then 70% of the children are = 27 × 100
30
= 63
∴ the total no. of children in the school = 27 + 63
= 90
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162:384 in simplest form ratio
Answers
Answer:
27:64
Step-by-step explanation:
162:384 = 81:192 = 27:64
Answer:
27:64 is the answer because it can't be broken down anymore
Step-by-step explanation:
27:64
Solve for x
Can you pls help me?
Answers
Answer:
6x+50=92
Step-by-step explanation:
The x is for how much the classes cost plus the amount they charged her for the gear.
i need help can someone please help me
Answers
The measure of the angle m∠ZYX of the trapezoid is equal to 139°
What is a trapezoid?A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.
3x + 19 + x + 1 = 180°
4x + 20 = 180°
4x = 180 - 20 {collect like terms}
4x = 160
x = 160/4 {divide through by 4}
x = 40
m∠ZYX = 3(40) + 19 = 139°.
WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.
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1. Find the radius of Circle A. r-
1
2. Find the diameter of the Circle A. d-
3. Find the circumference of the circle. C-
4. Find the area of the Circle. A =-
5. Shade in a sector of 90° on the circle. Find that sector area. Area of Sector =
6. Determine the arc length of circle from the shaded region above. Arc Length =
7. Write the equation for the circle.
Answers
Answer:
A i think
Step-by-step explanation:
12. Reason The graph of y = -x + 2 is negativeover the interval (4, ) and positive over theinterval (-0, 4). What happens on the graphwhen x= 4? Explain. MP.2
Answers
The given function is expressed as
\(\begin{gathered} y\text{ = -}\frac{1}{2}x\text{ + 2} \\ \text{We would substitute x = 4 into the given function. It becomes} \\ y\text{ = - }\frac{1}{2}\times\text{ 4 + 2} \\ y\text{ = - 2 + 2} \\ y\text{ = 0} \end{gathered}\)At x = 4, y = 0
Thus, the graph crosses the x axis at x = 4
What is the area of a quadrilateral with vertices at (-2,-6),
(1,6), (-2,0), and (1,0)? Enter the answer in the box.
units squared
Answers
Check the picture below.
so the quadrilateral is really two triangles, each with a base of 3 and a height of 6
\(\stackrel{\textit{area of the two triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{3})(\underset{h}{6}) \right]\implies 2(9)\implies} \text{\LARGE 18}\)
Drag each tile to the correct location on the table. Each tile can be used more than once.
Match each equation to the value(s) of x that make the equation true.
Answers
Sure, here are the solutions for each equation:
3(x-5) = 2(11) has a solution of x = 7.
4(3x+7) = 512x + 8 has no real solution.
3(x+1)- 2x = x + 3 has a solution of x = 9.
3 = 3 is true for all values of x, so it doesn't have a specific solution.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.
Here,
1. 3(x-5) = 2(11)
To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.
2. 4(3x+7) = 512x + 8
To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.
3. 3(x+1)- 2x = x + 3
To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.
4. 3 = 3
This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.
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When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
Answers
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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Pranav and Paul each improved their yards by planting grass sod and shrubs. They bought their
supplies from the same store. Pranav spent $90 on 10 ft² of grass sod and 5 shrubs. Paul spent
$50 on 5 ft² of grass sod and 3 shrubs. Find the cost of one ft² of grass sod and the cost of one
shrub
Answers
The cost of one ft² of grass sod is $3 and the cost of one shrub is $10.
How to solve Algebra Word Problems?Let the cost of grass be g and the cost of shrubs be s.
Pranav spent $90 on 10 ft² of grass sod and 5 shrubs. Thus, the equation that portrays this is;
10g + 5s = 90 -----(1)
Paul spent $50 on 5 ft² of grass sod and 3 shrubs. Thus, the equation that portrays this is;
5g + 3s = 50 ------(2)
Multiply eq 2 by 2 to get;
10g + 6s = 100 -----(3)
Subtract eq 1 from eq 2 to get;
s = 10
Put 10 for s in eq 1 to get;
10g + 5(10) = 90
10g = 40
g = 4
Thus, we conclude that the cost of grass sod and shrubs are the values of s and g above.
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Find the slope of the line that passes through (3, 2) and (7,5)
Simplify your answer and write it as a simplified fraction.
Answers
Answer:
\( \frac{3}{4} \)
Step-by-step explanation:
Slope is equal to the change in y over the change in x.
\(m = \frac{change \: in \: y}{change \: in \: x} \)
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .
\(m = \frac{y2 - y1}{x2 - x1} \)
Substitute in the values of x and y into the equation to find the slope.
\(m = \frac{5 - (2)}{7 - (3)} \)
Simplify.
\(m = \frac{3}{4} \)
Hence, the slope is 3/4.
Question Below.
Answers: 250|253|254|255|307|433|434|435|507|.
First to answer this question the quickest is rewarded branliest + 100 points
Answers
Answer:
Minimum--> 250
Q1--> 255
Q2--> (Median): 307
Q3--> 433
Maximum-->507
Step-by-step explanation:
To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.
First, we need to sort the data set in ascending order:
{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }
Minimum: 250
Maximum: 507
To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.
Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.
Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.
Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.
Sylvia invested $500 in an account compounded annually with an interest rate of 8%. Manuel invested $600 in an account wit
72
a compound interest rate of 7.25%. Using the rule of 72, 7. who will double their money first?
Sylvia will double her money first, in approximately 9 years.
Manuel will double his money first, in approximately 10 years.
Manuel will double his money first, in approximately 9 years.
Sylvia will double her money first, in approximately 10 years.
Answers
Answer:
It’s a
Step-by-step explanation:
Got it right on edg hope this helped
Answer:
It's A
Step-by-step explanation:
Took test
A gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least twice the area used for flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all values of x and y that satisfy these requirements.
Answers
what is 32 divided by 97
Answers
Answer:
0.32989690721
Step-by-step explanation:
Answer:
rounded to the nearest hundred: 0.33
Step-by-step explanation:
hope this helps :3
Here is an ordered set of sample data.87 109 156 166 204210 279 416 500 534592 609 655 677 777837 873 998Identify the 5 number summary: (min, Q1, median, Q3, max).
Answers
Solution:
A boxplot is a standardized way of displaying the dataset based on a five-number summary: the minimum, the maximum, the median, the first quartile, and the third quartile.
The general representation for a box plot is given below;
Comparing this to the box plot given in the question, the following can be deduced;
\(\begin{gathered} \text{minimum, }\min =11 \\ lowerquartileQ_1=12 \\ \text{Median}=15 \\ \text{upper quartile, Q}_3=17 \\ \max imum,\text{ max=20} \end{gathered}\)Therefore, the answer as arranged is;
\((11,12,15,17,20)\)The interquartile range, IQR is given by;
\(\begin{gathered} Q_3-Q_1 \\ \text{where;} \\ Q_3=17 \\ Q_1=12 \\ \\ \text{IQR}=17-12 \\ \text{IQR}=5 \end{gathered}\)Therefore, the interquartile range is 5.
11.510 repeating as a fraction.
Answers
Answer: 11 51/100
Step-by-step explanation:
turn it into a fraction
5(x+20)= 7x+307x+30 solve for x
Answers
Answer:
hope it will help you
Which of the following sequences is arithmetic? A 3, 9, 15, 21, 27, . . . B 3, 9, 17, 27, 39, . . . C 3, 9, 27, 81, 243, . . .
Answers
Answer:
A) 3, 9, 15, 21, 27, . . .
Step-by-step explanation:
EDGE 2020
Answer:
The second answer is 6.
Step-by-step explanation:
D=6
a=-2x^2 + 36x
solve for x
Answers
Answer:
x= 18,0
Step-by-step explanation:
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Answers
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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