Steve Conway wants his team to win more than 57 games this year. His team has already won 2 games this season and there are 5 more months to play. Based on his goal, how many games must his team win per month?
Answers
Using a linear function, it is found that:
The inequality is: 5m + 2 > 57.The solution is: m > 11.They team needs to win more than 11 games per month.Linear functionThe linear function that models this situation is defined as follows:
y = mx + b.
In which the parameters are as follows:
m is the slope, which is the number of games that he wants to win per month.b = 2 is the intercept, which is the number of games that he has already won.They want to win more than 57 games, and there are 5 months to play, hence the inequality is given as follows:
5m + 2 > 57.
It is solved similarly to an equality, isolating the variable m and finding the range of values, as follows:
5m > 55
m > 55/5
m > 11.
Hence the team needs to win more than 11 games a month, and the solutions is illustrated by the image given at the end of the answer.
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Related Questions
I need help finding
Answers
The proeprty of rhombus is that
The diagnol of a rhombus VX bisect the angle WVY in two equal parts .
Therefore, the angle YVX = angle XVW.
[tex]\angle YVX=(9n+4)^{\circ}[/tex]The another property of rhombus is that the diagnol are perpendicular .
[tex]3n^2-0.75=90[/tex]Determine the slope of any line perpendicular to the line illustrated in the graph below.
Answers
Points (2, -1) and (1,-4)
Finding slope
[tex]m=\frac{-4+1}{1-2}=\frac{-3}{-1}=3[/tex]For slope for the perpendicular line
[tex]m=\frac{-1}{3}[/tex]chords AB and CD intersect as shown nelow find the length of CD
Answers
We are asked to determine the length of CD, to do that we will use the following relationship:
[tex]\begin{gathered} CD=21+x+1 \\ CD=22+x \end{gathered}[/tex]Therefore, we need to determine the value of "x". To do that we will use the intersecting chords theorem, that is:
[tex](21)(x+1)=(9)(3x-9)[/tex]Now we solve for "x" first by applying the distributive law:
[tex]21x+21=27x-81[/tex]Now we will subtract 21 to both sides:
[tex]\begin{gathered} 21x=27x-81-21 \\ 21x=27x-102 \end{gathered}[/tex]Now we will subtract 27x to both sides:
[tex]\begin{gathered} 21x-27x=-102 \\ -6x=-102 \end{gathered}[/tex]Dividing both sides by -6:
[tex]x=-\frac{102}{-6}=17[/tex]Now we replace the value of "x" in the expression for segment CD:
[tex]\begin{gathered} CD=22+17 \\ CD=39 \end{gathered}[/tex]Therefore, the length of CD is 39.
Help me please in need of it
Answers
Answer:
-2
Step-by-step explanation:
Substituting the points (0,2) and (1,0) into the slope formula, [tex]m=\frac{2-0}{0-1}=-2[/tex].
Robert has two more than three times the number of cards that Amanda has which expression represents the number of cards that Robert has
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To state the equation that represents the given situation, we take x as the number of cards Amanda has. Three times the number of cards is 3x, two more is +2. It means that the expression that represents this situation is:
[tex]3x+2[/tex]Create your own quadratic equation whilst explaining how to use the quadratic formula to solve it. Be specific, using a, b, and c of your equation and give solutions to theequation you chose.
Answers
Let the quadratic equation is
[tex]x^2-8x+16=0[/tex]Here, a is the coefficient of x^2, b is the coefficient of x and c is the constant.
For the equation we have a = 1, b = -8 and c = 16.
We know that the quadratic formula is given by:
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]So, the solution of the quadratic equation is:
[tex]\begin{gathered} x=\frac{-(-8)\pm\sqrt[]{(-8)^2-4(1)(16)}}{2(1)} \\ x=\frac{8\pm\sqrt[]{64-64}}{2} \\ x=\frac{8\pm\sqrt[]{0}}{2} \\ x=\frac{8}{2} \\ x=4 \end{gathered}[/tex]Thus, there are two real and equal solutions for the given quadratic equation that is x = 4 and x = 4.
please help me please
Answers
It's a line that slopes down
The second choice is the answer because the slope is negative.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - 3y = 18
Answers
Answer:
y = (2/3)x - 6Step-by-step explanation:
Slope-intercept form is:
y = mx + bConvert the given equation as following:
2x - 3y = 18 Isolate the term with y3y = 2x - 18 Divide all terms by 3y = (2/3)x - 6Expressing the relationship between two quantities with a linear equation. A stationary store sells large and small packages of greeting cards. Each large package contains h greeting cards. Each small package contains k greeting cards., which is 4 less than the larger package. Express h in terms of k
Answers
large = h greeting cards
small = k greeting cards this is four less
h = k + 4 This is the answer
Which set of ordered pairs (x,y) could represent a linear function?A. {(-7,3), (-2,1), (3,-1), (8,-3)}B. {(-2,8), (-1,4), (1,0), (3,-4)}C. {(-3,-6), (0,-5), (3,-3) (6,-2)}D. {(0,-8), (3,-5), (5,-2), (8,1)}
Answers
Answer:
A. {(-7,3), (-2,1), (3,-1), (8,-3)}
Explanation:
A linear function has a constant slope.
To determine the set of ordered pairs (x,y) that could represent a linear function, we find the slope for two pairs of points.
[tex]\text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}[/tex]Option A
Using points (-7,3) and (-2,1).
[tex]\text{Slope}=\frac{3-1}{-7-(-2)}=\frac{2}{-7+2}=-\frac{2}{5}[/tex]Using points (-7,3) and (3,-1).
[tex]\text{Slope}=\frac{3-(-1)}{-7-3}=\frac{4}{-10}=-\frac{2}{5}[/tex]We see that the slopes are the same.
Therefore, the set of ordered pairs in Option A represent a linear function.
The scatterplot shows the average miles per gallon
versus the age, in years, of cars at a used car dealership.
Fuel Efficiency
Miles per Gallon
35
30
25
20
15
10
5
●
0 1 2 3 4 5 6 7 8 9 10
Age (Years)
Select the most likely value of r for this data set.
O-0.78
O-0.35
O 0.15
O 0.88
Answers
Answer:
-0.78
Step-by-step explanation:
The close to 1 or -1 it is the straight the line will be. 0 will be no correlation.
estimate the difference of 1 1/5 - 9/10
Answers
estimate the difference of 1 1/5 - 9/10
we have
1 1/5=1+1/5=6/5
6/5=12/10
so
12/10-9/10=3/10=0.3
answer is 0.3
estimete
1 1/5 is about 1
9/10=0.9
so
1-0.9=0.10
the estimate is 0.10
steps
Rounded 1 1/5------> 1
we know that
9/10=0.9
so
substitute
1-0.9=0.10
a model of a skyscraper is made so that 1 inch represents 75 feet what is the height of the actual building if the height of the model is 20 1/4 inches
Answers
Given the proportional relationship:
1 in = 75 feet
To get feet, of 20 1/4th inches, we have to multiply the inches by 75:
[tex]\begin{gathered} 20\frac{1}{4}\times75 \\ =\frac{81}{4}\times75 \\ =\frac{6075}{4} \\ =1518\frac{3}{4}\text{ fe}et \end{gathered}[/tex]Note: we converted 20 1/4th to improper fraction, then did the mulitplication.
The answer is:
[tex]1518\frac{3}{4}\text{ feet}[/tex]Geometric properties of the section are
Answers
Answer:
The geometric properties of sections, which are indicators of the structural performance and load resistance capacity of sections, are characterized by the section shape and dimensions, regardless of material properties.
all you need is in the photo please answer all the 3 questions
Answers
a) y =2^x
b) Exponential
c)
a) According to that graph, we have point (1,2) and (2,4) since that exponential function is
[tex]\begin{gathered} y=a(b)^x \\ 1=a(b)^0\rightarrow a\text{ =1} \\ 4=ab^2\text{ }\rightarrow4\text{ =}b^2\rightarrow\text{ }b=2 \\ y=2^x \end{gathered}[/tex]Since the function is increasing, due to its direction, we can write y =2^x
b)The type of function is exponential, since x= 0, y = 1, and due to its shape.
3) As we can see the shape of the graph is curve,
Consider the following graph. Does a graph represent a function? Yes or no?
Answers
Concept
A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Next
The graph is a function because every input has unique output.
Final answer
It is a function
How many pairs of parallel edges are there in a rectangular prism
Answers
Answer:
A rectangular prism has 3 pairs of congruent parallel faces.
Evaluate x^3 - 6y + 2 for x = 4 and y= 6.
Answers
The given expression is x^3 - 6y + 2
We are gven x = 4 and y = 6
Substituting the given values into the expression, it becomes
4^3 - 6*6 + 2
= 12 - 36 + 2
= - 22
f(x) = (x-1.5)^2 find the vertex
Answers
The given function is
[tex]f(x)=(x-1.5)^2[/tex]It is important to know that the function is in vertex form
[tex]f(x)=a(x-h)^2+k[/tex]Where h and k are the coordinates of the vertex.
Having said that, we can deduct that the vertex of the given function is (1.5, 0) because those are the values for h and k.
Hence, the answer is V(1.5, 0).Jay had 60 tickets he could turn in at the end of the year for extra-credit points he had earned during the year. Some tickets were worth two points and others were worth five points. If he was entitled to a total of 231 extra-credit points, how many two-point tickets did he have?
Answers
Answer:
23 2-points + 37 5-points = 231
Step-by-step explanation:
Answer:
53 two-point tickets.
Step-by-step explanation:
This is a system of equations:
x + y = 60
2x + 5y = 231
Then..
-2x - 2y = -120
2x + 5y = 231
Then...
3y = 111
y=7
All you need to do now is plug it in:
x + 7 = 60
60-7 = x
x = 53
the equation of line m is y =9/5x +9. line n is parallel to line m. what is the slope of line n?
Answers
the slope for the line n is 9/5
According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD. Construct diagonal A C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. __________. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.
Answers
The parallelogram can be redrawn as,
To Prove: The opposite side of the parallelogram are equal.
Given: In the given parallelogram AB is parallel to CD and BC is parallel to AD.
Construction: Diagonal AC is drawn.
Proof:
[tex]\begin{gathered} AC=AC\text{ (Common)} \\ \angle BAC=\angle DCA\text{ (Alternate angles)} \\ \angle BCA=\angle DAC\text{ (Alternate angles)} \\ \Delta ABC\cong\Delta CDA\text{ (ASA)} \\ AB=CD\text{ (CPCT)} \\ BC=DA\text{ (CPCT)} \end{gathered}[/tex]Thus, traingle ABC is congruent to triangle CDA by ASA congruency theorem is the missing information from the paragraph.
triangle p undergoes a sequence of tranformations resultig in triangle Q which sequence of transformations could be used to show that triangle Q is similar but not congruent to triangle p
Answers
The most appropriate choice for Similar and congruent triangles will be given by
Third Option dilation is correct.
What are Similar and congruent triangles?
Two triangles are similar if their angles are equal but their sides are proportional
The different axioms of similarity are SAS, SSS, AA
Two triangles are congruent if their sides and angles are both equal
The different axioms of congruency are ASA, SAS, AAS, RHS, SSS
Here, A stands for angle, S stands for side R stands for right angle, H stands for hypotenuse.
Here,
Two Similar triangle means corrosponding sides are proportional and two congruent triangle means corrosponding sides and angles and angles are same
The triangle after rotation and reflection do not change any length of side or angle. So the triangles will be same after reflection or rotation. So congruency will not be disturbed here.
Now, in case of dilation, length of each side will change but in same proportion.
So dilation can make two similar triangles but not congruent triangles
So third option is correct.
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Complete Question
Triangle P undergoes a sequence of tranformations resultig in triangle Q which sequence of transformations could be used to show that triangle Q is similar but not congruent to triangle P
a) Rotation
b) Reflection
c) Dilation
d) Any of these could be the transformation
−8(2) +5(2 − 12)+ (−2)(5 −2) +(−3)(3)
Answers
Answer:
The answer is -81.
Step-by-step explanation:
Let me know if I got it wrong.
4. During a long weekend, Devon paid a total of x dollars for a rental car so he could visit his family. He rented the care for 4 days at a rate of $36 per day. There was an additional charge of $0.20 per mile after the first 200 miles.
a. Write an expression to represent the amount Devon paid for additional mileage.
b. Write an expression to represent the number of miles over 200 miles that Devon drove.
c. How many miles overall did Devon drive overall if he paid $174 for the car rental? Show work.
Answers
Answer:
A)
c = 0.20m + 144
Where c is total cost and m is miles driven.
B)
c = (200 + 0.20m) + 144
C)
174 = 0.20m + 36x4
174 = 0.20m + 144
30 = 0.20m
30/0.20 = m
m = 150+200
m = 350miles
Hope that helps
solve the equations and verify the answer
Answers
6.6 is value t in of linear equation .
What is linear equation with example?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y).A linear equation with one variable has the conventional form Ax + B = 0. x is a variable, A is a coefficient, and B is constant in this situation.2t + 3/3 = 3t - 8/2
2( 2t + 3 ) = 3( 3t - 8 )
4t + 6 = 9t - 24
9t - 4t = 9 + 24
5t = 33
t = 33/5
t = 6.6
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Let d represent the number of $2 decreases i price. Let r be the company’s revenue. Write a quadratic function that reflects the company’s revenue.
Answers
Answer:
Let d be the number of $2 decreases, and r be the company´s revenue, then the company can sell:
[tex]800+40d[/tex]cellphones per week at a price of:
[tex]80-2d[/tex]dollars.
Therefore, the quadratic equation that represents the revenue is:
[tex](800+40d)(80-2d)\text{.}[/tex]Now, graphing the above equation we get:
From the above graph, we can determine the vertex and the vertex gives us for which value of d the company gets the maximum revenue.
The company should charge $80-10($2)=$80-$20=$60.
Solve the inequality and draw the solution |r|-3>2
Answers
We want to solve the following inequality
[tex]|r|\text{ -3 >2}[/tex]To solve this inequality, we first add 3 on both sides, so we get
[tex]|r|>2+3=5[/tex]So we have the inequality
[tex]|r|>5[/tex]Recall that the absolute value represents the distance from a number to 0. So this means that the number r is greater than 5 or it is less than -5. So we have the following two inequalities
[tex]r>5[/tex][tex]r<\text{ -5}[/tex]This could be drawn on the number line as follows. Greater than (>) means that the number 5 is on the left, and the less than (<) means that the number -5 is on the right side. So we get the following
Question 10(Multiple Choice Worth 1 points)
(08.01 LC)
Susan wants to conduct a survey to find how much time the students of her school spent eating in a local cafeteria. Which of the following is an appropriate statistical question for this survey?
Who eats at the cafeteria on weekends?
How many students eat in the cafeteria on Mondays?
How many students eat in the cafeteria once a week?
How many hours during the week do you eat in the cafeteria?
Answers
How many hours during the week do you eat in the cafeteria.
1st answer is too informal and the 2nd and 3rd answers aren’t focused on the TIME spent
One positive integer is 2 less than twice another. The sum of their squares is 745.
Answers
The numbers are 13 and 24
What is Integers?
The negative numbers are the additive inverses of the corresponding positive numbers.[2] In the language of mathematics, the set of integers is frequently denoted by the boldface Z or blackboard bold displaystyle mathbb Z mathbb Z.[3][4][5] An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign
y=first number
x=2y-2 (second number)
y^2+(2y-2)^2=745
y^2+4y^2-8y+4=745
5y^2-8y+4-745=0
5y^2-8y-741=0
Now, from the equation we can solve
5y^2 -65y +57y - 741 = 0
5y(y - 13) + 57(y - 13) = 0
(5y + 57)(y - 13)= 0
now, since the Integers are positive so the value obtained from (5y + 57) = 0 can't hold true.
So, y-13 = 0
y = 13
The first number is : 13
The second number is :
x = 2(13) - 2
x = 26 - 2
x = 24
The second number is : 24
Hence, the numbers are 13 and 24
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