Answer:
Step-by-step explanation:
x= -2
Determine whether each relation is a function. {(3, 2), (-1, 3), (5, 2)} and {(9, -1), (3, 6), (-2, 4), (3, 0)}
We can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
What Makes a Relation a Function?A relation is a function if each of the x-values in the relation has exactly one corresponding y-value it is related to.
Given the relation with the ordered pairs, {(3, 2), (-1, 3), (5, 2)}, we can see that each x-value has exactly one y-value.
For the relation, {(9, -1), (3, 6), (-2, 4), (3, 0)}, we can observe that the x-value "3" has three corresponding y-values, "6, and 0", therefore, it is not function.
Therefore, we can state that the given relations:
{(3, 2), (-1, 3), (5, 2)} is a function.
{(9, -1), (3, 6), (-2, 4), (3, 0)} is not a function.
Learn more about functions on:
https://brainly.com/question/15602982
#SPJ1
jim built a large rectangular planter bed for his garden. The length of the planter is 2 feet longer than 3 times the width. The perimeter of the planter bed is 92 feet. Write and solve an equation to find the length and width of the planter bed.
Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.
What is the length and width of the rectangular planter bed?The perimeter of rectangle is expressed as;
P = 2( l + w )
Given the data in the question;
Let 'x' represent the width of the rectangle.
Width w = xLength = 3x + 2Perimeter P = 92ftPlug the given values into the above above equation.
P = 2( l + w )
92 = 2( ( 3x + 2 ) + x )
Solve the equation for x.
92 = 2( ( 3x + 2 ) + x )
92 = 6x + 4 + 2x
92 = 8x + 4
8x = 92 - 4
8x = 88
x = 88/8
x = 11
Hence;
Width of the rectangular planter bed = x = 11ft
Length of the rectangular planter bed = 3x+2 = 3(11) + 2 = 33 + 2 = 35ft
Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.
Learn more about rectangles here: brainly.com/question/17043956
#SPJ1
If u/11 = 5/17 what does u equall
Answer:
u= 55/17
Step-by-step explanation:
Answer:
Step-by-step explanation:
u/11=5/17 so cross multiplication, 17u=5*11, 17u=55, so u =55/17
ERROR ANALYSIS Describe and correct the error in interpreting the statement.
If a figure is a rectangle, then the figure has four sides. A trapezoid has four sides.
X
Using the Law of Detachment,
you can conclude that a trapezoid
is a rectangle.
Answer:
The fact points to the conclusion of the conditional.
Step-by-step explanation:
Law Of Detachment:
p -> q (if p is true, then q is true)
***You cannot go backwards. In other words, you cannot say that if q is true, then p is true, this is due to counterexamples.
Fadi set out at 5am on his bike averaging at 6mph. At 8am Chris goes out on his moped averaging 15mph. What time will Chris catch up with Fadi?
Since at 8am Chris goes out on his moped averaging 15mph, the time Chris catches up with Fadi is at 10 am.
How to find the time will Chris catch up with Fadi?Since Fadi set out at 5am on his bike averaging at 6mph, the distance Fadi travels is d = vt where
v = Fadi's speed = 6 mph and t = time.So, Fadi's distance d = vt
= 6t
Now, At 8am Chris goes out on his moped averaging 15mph, the distance Chris travels is D = v't' where
v = Chris' speed and t = Chris' time of travel.So, Chris' distance D = v't'
= 15t'
Also, since Fadl sets out at 5 am on his bike and Chris goes out on his moped at 8 am, Chris sets out 8 am - 5 am = 3 hrs later.
So, Chris' time of travel t' = t - 3
So, Chris' distance D = 15t' = 15(t - 3)
Now, Chris will catch up with Fadi when they both cover the same distance
So, d = D
6t = 15(t - 3)
6t = 15t - 45
6t - 15t = -45
-9t = -45
t = -45/-9
t = 5 hours
Since Chris's time is t' = t - 3, substituting t = 5 into the equation, we have
t' = 5 - 3
= 2 hours
So, Chris catches up with Fadi 2 hours later at 8 am + 2 hours = 10 am.
So, the time Chris catches up with Fadi is at 10 am.
Learn more about time here:
https://brainly.com/question/28042659
#SPJ1
(a[tex](a^6)^2a^7[/tex]
Answer: a(a^6)^2a^7 = [tex]a^{20}[/tex]
Step-by-step explanation:
Given data,
= a(a^6)^2a^7
We can write,
= [tex]a * (a^{6}^)^{2} * a^{7}[/tex]
Simplify using exponent power rule, [tex](a^{n} ) ^{m}[/tex] = [tex]a^{mn}[/tex]
So, we can write using formula,
= [tex]a * a^{6*2} * a^{7}[/tex]
= [tex]a * a^{12} * a^{7}[/tex]
Multiply the monomials,
We can use the formula, [tex]x^{a} * x^{b} * x^{c}[/tex] = [tex]x^{a+b+c}[/tex]
So, we can write,
= [tex]a^{1+12+7}[/tex]
= [tex]a^{20}[/tex]
Therefore,
a(a^6)^2a^7 = [tex]a^{20}[/tex]
Learn more about event correlation here: brainly.com/question/20433457
#SPJ9
How do I solve for this?
dy/dx =yx(x + 3)
Answer:
[tex]{ \tt{ \frac{dy}{dx} = yx( x + 3)}} \\ \\ { \tt{ \frac{dy}{y} = \frac{x(x + 3) \: dx}{1} }} \\ \\ { \tt{ \int \frac{dy}{y} = \int( {x}^{2} + 3x) \: dx }} \\ \\ { \tt{ ln(y) = \frac{ {x}^{3} }{3} + \frac{ {3x}^{2} }{2} + c }} \\ \\ [/tex]
Please help I’ll mark brainly
Hello,
[tex]\boxed{-4} - 3 = - 7[/tex]
A television and DVD player cost a total of $1290. The cost of the television is two times the cost of the DVD player. Find the cost of each of them
han followed these instructions to make the image
Which of the following represents an EFFICIENT point of production?
A. Point B
b. Point A
c. Point D
d. None
The EFFICIENT points of production in the given graph is represented by Point C and Point B , the correct option is option (d).
The given graph is for skateboards vs Bikes .
We need to find the point representing the Efficient Point of Production.
The Production Possibility Curve points are said to be Efficient when the resources are utilized to the fullest , that means the points on the curve represents the point of Efficiency.
In the given Production Possibility Curve between Skateboards and Bikers the point C and Point B are the Efficient point of production .
Therefore , the Efficient points of production in the given curve are represented by Point C and Point B , the correct option is option (d)
Learn more about Efficient Point Of Production here
https://brainly.com/question/8103430
#SPJ1
Gayle biked 2.82 miles on an exercise bike. Lola biked 3.5 times as far as Gayle.
How much farther did Lola bike than Gayle?
Enter your answer in the box.
miles
Answer:
9.87
Step-by-step explanation:
If Gayle only biked 2.82 miles and Lola biked 3.5 TIMES MORE MILES
then you multiply 2.82 by Lola's miles and you get 9.87
A Mathematical fest was conducted in a school by a group of students. School's principal gave them the budget of ₹32000. They spend 1/4 of the budget on food stalls; 3/10 of the remainder on games and activities and 5/21 of the remainder on gift distribution event. How much money is still left with them?
The amount of money left with them is $12,800.
How much money is left?The first step is to determine the amount left after 1/4 of the budget is spent on food stalls.
Budget left : (1 - 1/4) x amount of budget
(1 - 1/4) x 32,000
3/4 x 32,000 = 24,000
The second step is to determine how much of the budget is left after spending on games and activities :
(1 - 3/10) x 24,000
7/10 x 24,000 = 16,800
The third step is to determine how much is left after spending the remainder on gift distribution
(1 - 5/21) x 16,800
16/21 x 16,800 = $12,800
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
#SPJ1
What is the answer to
Sec 30° cos 30
Answer:
sec 30° + cos 30°
Important trigonometric values
Calculation:
sec 30° + cos 30°
⇒ 2/√3 + √3/2
⇒ (4 + 3)/2 √3
⇒ 7√3/6
∴ 7√3/6
Can any of you help me with this?
The ski team needs new uniforms. The students plan to sell plush toy lions (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 16 lions for $45.60. Company B sells 18 lions for 50.76. Company C charges $34.44 for 12 lions. Which company has the best buy?
In linear equation , The company which has the best buy is company C, they sell 1 lion for $2.77 (highest selling price among the three companies.
What in mathematics is a linear equation?
A linear equation is an algebraic equation with the formula y=mx+b, according to Wolfram MathWorld. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Company A = 16 lions for $45.60
Price per lion = $45.60 / 16
= $2.85
Company B = 18 lions for $50.76
Price per lion = $50.76 / 18 eagles
= $2.82
Company C = $34.44 for 12 lion
Price per lion = $34.44 / 12 lion
= $2.87
The company which has the best buy is company C, they sell 1 lion for $2.87 (highest selling price among the three companies)
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
F(B-g3)=2 solve for b
Solving for B gives B = 2/ F + g³
What is subject of formula?
Subject of formula can be defined as the variable that is expressed in terms of other variables in an equation or expression.
Given the equation;
F(B-g³)=2
To make 'B' the subject of formula, we have to take the following steps
Divide both sides by F, we have;
F(B-g³) / F = 2/ F
we then have;
B - g³ = 2/F
Now, make 'B' the subject of formula by making all the other terms over the equality sign
We have;
B = 2/ F + g³
Thus, solving for B gives B = 2/ F + g³
Learn more about subject of formula here:
https://brainly.com/question/21140562
#SPJ1
What is the answer 1/3 of x is 14
The required answer for 1/3 of x is 14 is x = 42.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
1/3 of x is 14
Thus converting it into numerical expression.
So we have,
1/3 of x = 1/3 * x= x/3
Thus is equal to 14
Thus, the equation we get is,
x/3 = 14
To solve the above isolate x on one side and other terms to another.
Thus multiplying whole equation by 3 we get,
3*x/3 = 14*3
Simplifying we get,
x = 42
This is the required answer for the given expression.
Thus, the required answer for 1/3 of x is 14 is x = 42.
To learn more about equations :
https://brainly.com/question/13482978
#SPJ1
Simplify the variable expression below as much as possible.
3x+ 2y+5-3
Answer here
PLEASE HELP
Answer:
3x+2y+2
Step-by-step explanation:
it's just combining like terms
what is the process to answer this equation 6x ?= 6/7
Answer: x = 1/7, or around 0.14
Step-by-step explanation: In the equation 6x = 6/7, you have to divide both sides by 6 (as x is multiplied by 6). (6/7)/6 = (6/7) * (1/6), which equals 6/42, thus simplifying to 1/7.
Kara brought $23 with her when she went shopping. She spent $3.27 for lunch and $14.98 on a shirt. How much money does she have left? $
Answer:
$4.75
Step-by-step explanation:
The two items that Kara bought must be subtracted from the amount of money she had in the beginning; $23.00 − $3.27 − $14.98 = $4.75.
Answer:
after thinking about this thoroughly I've got the answer.
its $19.73
Step-by-step explanation:
23-3.27-14.98=4.75
So the answer is $4.75
gary has just retired, and has 750000 dollars in his retirement account. the account will earn interest at an annual rate of 5 percent, compounded monthly. at the end of each month, gary will withdraw a fixed amount to cover his living expenses. gary wants his savings to last 30 years. how much money can he withdraw each month
The amount of money that Gary can withdraw each month is equal to $4026.18.
Given the following data:
Value of each payment, P = 750,000 dollars.Annual percentage interest rate, APR = 5% = 0.05.Time, t = 30 years.What is APR?APR is an acronym for annual percentage rate and it can be defined as a measure of an amount of money based on a yearly rate of interest, which a borrower must pay on a loan or credit card.
This ultimately implies that, the annual percentage rate (APR) would be calculated by dividing the rate of interest by twelve (12).
Rate of interest, r = APR/12
Rate of interest, r = 0.05/12
Rate of interest, r = 0.0041667
Next, we would calculate the present value of this ordinary annuity by using this formula:
Present value, PV = [P ÷ [1 - (1 + r)^{-nt}]/r]
Substituting the given parameters into the formula, we have;
Present value = [750,000 ÷ [(1 - (1 + 0.0041667)^{-30 × 12})/0.0041667]
Present value = [750,000 ÷ [(1 - (1.0041667)^{-360})/0.0041667]
Present value = [750,000 ÷ [(1 - 0.2238239)/0.0041667]
Present value = [750,000 ÷ [0.7761761/0.0041667]
Present value = 750,000 ÷ 186.280773754
Present value, PV = $4026.18.
Read more on present value on annuity here: https://brainly.com/question/13373662
#SPJ1
Estimate each product 75÷7
Answer:
10.7142857143
Step-by-step explanation:
Answer:
10.71428
10.71
About 10.7
i ready help please . .. . .. . . . . . . . .. . . . .. .. . .. . . . .
The solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.
How to Evaluate an Expression?To evaluate the expression, 3a + 4b³ - 5, when a = 6 and b = 2, substitute the values of a and b into the expression and solve.
Thus, we would have:
3a + 4b³ - 5 = 3(6) + 4(2³) - 5
Solve the exponent
3a + 4b³ - 5 = 3(6) + 4(8) - 5
3a + 4b³ - 5 = 18 + 32 - 5
Add
3a + 4b³ - 5 = 45
Therefore, the solution to the given expression when evaluated would be expressed as: 3a + 4b³ - 5 = 3(6) + 4(2³) - 5 = 45.
Learn more about evaluation of expressions on:
https://brainly.com/question/3590570
#SPJ1
Hey guys, how to solve this ?
Thanks for the answers
how do you do this ill give 20 points!!!!!!!
The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The angles are given below.
∠ABC = ∠DEF ...1
∠GHI = ∠DEF ...2
From equations 1 and 2, then we have
∠ABC = ∠DEF
The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
what is m=x+n/p solve for m
x = p / (m + n) is factor of algebraic expression .
What does a math factor mean?
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.mx + nx = p
You can factor x out of the mx + nx.
x(m + n) = p
Now, simply divide by the m + n.
x = p / (m + n)
Learn more about factor
brainly.com/question/24182713
#SPJ9
the second side of a triangular deck is 5 feet longer than the shortest side, and the third side is 5 feet shorter than twice the length of the shortest side. is the perimeter of the deck is 64 feet, what are the lengths of the three sides
The lengths of the three sides are 16 feet, 21 feet, and 27 feet
let the shortest side be x
then the second side would be x+ 5 feet
and the third side would be 2x- 5 feet
as we are provided with the parameter of the deck as 64 feet
Parameter = sum of all sides
64 = x + (x+5) + (2x-5)
64 = 4x
So, in order to find out the measurement of the sides of the triangular deck we need to solve this linear equation
64 = 4x
X = 64/4
X = 16 feet
Therefore, first side/ shortest side = x= 16 feet
Second side = x+5 = 16+5 = 21 feet
Third side = 2x-5= 2(16) -5 = 27feet
To know more about linear equation - https://brainly.com/question/11897796
#SPJ9
2 angles are complementary if the measure of one of the angles is 58.6ﾟwhat is the matter of the other angle answer to the 1st decimal place, IE 79.5
Based on the definition of complementary angles, the measure of the other angle, to 1 decimal place, is: 31.4°.
What are Complementary Angles?If the sum of two angles equals 90 degrees, they are called complementary angles.
Given:
One angle = 58.6ﾟ
The second angle = 90 - 58.6
The second angle = 31.4°.
Therefore, based on the definition of complementary angles, the measure of the other angle, to 1 decimal place, is: 31.4°.
Learn more about complementary angles on:
https://brainly.com/question/16281260
#SPJ1
b(n)=−4−2(n−1)
What's the 12th term in the sequence?
The 12th term in the sequence is -26.
Given,
B (n) = -4 – 2(n – 1)
We have to find the 12th term in the sequence:
To find the nth term in an arithmetic sequence:
An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.
Here,
First term, a = -4
Common difference, d = -2
nth term = 12
Now, let’s find 12th term
B(n) = -4 -2(n – 1)
B(12) = -4 – 2(12 – 1)
B(12) = -4 -2(11)
B(12) = -4 -22
B(12) = -26
That is, the 12th term in the sequence is -26.
Learn more about arithmetic sequence here:
https://brainly.com/question/11570734
#SPJ1
A bakery sold 138 mocha cupcakes in a day, which was 46% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answer:
x=300
Step-by-step explanation:
138=46%x
x=300
hope this helps!
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
46% = 138
100% = 300
The total number of cupcakes sold on that day is 300.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of mocha cupcakes sold in a day = 138
The percentage of mocha cupcakes sold in a day = 46%
The percentage of total cupcakes sold in a day = 100%
Now,
46% = 138
Multiply 100/46.
100/46 x 46% = 100/46 x 138
100% = 300
Thus,
The total number of cupcakes sold on that day is 300.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
