The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
The title of the graph is Tennis Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answers
Part A
y-intercept: 3
It represents that after 0 months practice, the number of matches won is 3.
Part B
slope intercept form: y = mx + b
Here to find slope,
take two points: (5, 12), (0, 3)
[tex]\sf slope: \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{rise}{run}[/tex]
[tex]\rightarrow \sf slope = \dfrac{3-12}{0-5} = 1.8[/tex]
Equation:
y - y1 = m(x- x1)
y - 12 = 1.8(x - 5)
y = 1.8x - 9 + 12
y = 1.8x + 3
To find Matches won after 13 months
insert x = 13
y = 1.8(13) + 3
y = 26.4 ≈ 26 matches
The team could have won 26 matches after 13 months practice.
Answer:
See below ~
Step-by-step explanation:
Part A :
The approximate y-intercept of the line is about (0, 3)This represents that with 0 months of practice, 3 matches are wonPart B :
Finding the slopeTake two points on the line : (0, 3) and (5, 12)m = y₂ - y₁ / x₂ - x₁m = 12 - 3 / 5 - 0m = 9/5m = 1.8 (slope)Forming the equation :
y = mx + b (where m is the slope and b is the y-intercept)y = 1.8x + 3Predicting how many matches can be won with 13 months of practice :
Here, x (number of months) = 13y = 1.8(13) + 3y = 23.4 + 3y = 26.4y = 26 matches (roughly)Related Questions
Solve the equation 3x²− 55 = 92
x = 7 and -7
x = 7
x = 8 and -8
x = 49
Answers
Answer:
the answer is x=7 and -7
Hope this helps!!
The function h(t) = -4t^2 + 20t represents the height (in feet) of an athlete t seconds after pole vaulting. after how many seconds does the athlete reach his or her maximum height?
Answers
Answer:
2.5 seconds.
Step-by-step explanation:
h(t) = -4t^2 + 20t
= -4(t^2 - 5t)
Convert to vertex form by completing the square:
h(t) = -4[(t - 2.5t)^2 - 6.25]
= -4(t - 2.5)^2 + 25 <--------- vertex form
So the vertex is at the point (2.5, 25).
So the athlete reaches the maximum height ( of 25 feet), after 2.5 seconds.
19 more than the number c is 4
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - -- -
[tex]\diamond\large\textsf{\textbf{\underline{Question:-}}}[/tex]
✥ 19 more than the number c is 4.
[tex]\diamond[/tex] [tex]\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
◆ First, the word "more" indicates that we add.
Here we have 19 more than c, so we add c plus 19, which looks as follows:-
✳︎ [tex]\sf{19+c}[/tex]
This expression is equal to 4:-
✳︎[tex]\sf{19+c=4}[/tex]
If you also need to find c, subtract 19 on both sides:-
c=-15So we conclude that the value of c is -15.
Good luck with your studies.- -- - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
19 + c = 4
Step-by-step explanation:
Given:
19 more than the number c is 4We know that:
The word "more" means addition between two numbers. The word "is" means two terms or two expressions are equivalent.Therefore, we can make the following replacements:
"19" ⇒ "19""more" ⇒ "+""c" ⇒ "c""is" ⇒ "=""4" ⇒ "4"When we replace the bolded text in the statement, we get;
⇒ 19 more than the number c is 4
⇒ 19 more than the number c is 4 ["19" ⇒ "19"]
⇒ 19 + than the number c is 4 ["more" ⇒ "+"]
⇒ 19 + c is 4 ["than the number c" ⇒ "c"]
⇒ 19 + c = 4 ["is" ⇒ "="]
⇒ 19 + c = 4 ["4" ⇒ "4"]
Thus, the expression/equation that represents the statement is [tex]\small\text{19 + c = 4.}[/tex]
Gordon was thinking of a number. Gordon doubles it, then adds 20 to get an answer of 66.3. What was the original number?
Answers
Answer:
23.5
Step-by-step explanation:
let's take the number as X
2X+20=66.3
2X=66.3-20
X=23.15
23.15
23.15 X 2 = 46.3
46.3 + 20 = 66.3
Solve the equation.
7x2 + 5 - x = 6x2 + 10
X =
20
It
Answers
Answer:
1 +√21 + 1 - √21
2 2
Step-by-step explanation:
Tell whether the following postulate or property of the plane euclidean geometry has a corresponding statement in spherical geometry. explain your reasoning or write the corresponding statement.
1. if two lines form vertical angles, then the angles are equal in measure.
2. if two lines meet a third line at the same angle, those lines are parallel.
3. three lines can form two triangles.
4. three non-parallel lines divide the plane into 7 separate parts.
Answers
When two lines form vertical angles, then the angles are equal in measure. This is true.
What is a vertical angle?Vertical angles are angles opposite each other where the two lines cross. When two lines meet a third line at the same angle, those lines are not parallel.
There are no parallel lines in spherical geometry. On the globe, all the lines of longitude meet the equator at the right angle.
Three lines can form two triangles. This is true as three noncollinear points determine the triangle in spherical geometry.
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A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?
Answers
Answer:
12 meters = 12000 mmStep-by-step explanation:
A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?
12 meters = 12000 mm
(1m = 1000 mm)
12 * 1000 = 12000
Please answer ! Polynomials and Factoring problems. Thank you!
Answers
Answer: The answer to your first question is b^2+2b-8. You second answer is y^2-4y+3.
Step-by-step explanation: Now, these questions deal with the FOIL method commonly taught in schools. The FOIL method is to turn factored binomials back into quadratics. Let's first go over what FOIL means.
F - First. So you multiply the first terms in each set of parenthesis, so b times b and y times y make b squared and y squared.
O - Outer. Multiply the two outer terms together, so b times -2 and y times -3. Remeber to pay attention to your signs when you multiply during these probelms!
I- Inner. Multiply the two inner terms together. so 4 times b and -1 times y. Again, make sure the signs are incorporated!
L - Last. Multiply the last terms in the binomials. So 4 times -2 and -1 times -3.
Now that we have our numbers, we have expanded quadratics that look like these:
b^2 -2b+4b-8 and y^2-3y-y+3
Now combine the two middle terms into +2b and -4y, and your answers are b^2+2b-8 and y^2-4y+3.
PLEASE HELP!!! 25 POINTS!!
Simon builds this podium on a platform.
What is the combined volume of the podium and the platform?
Enter your answer in the box.
Answers
A
31
-ft ladder leans against a building so that the angle between the ground and the ladder is
80
How high does the ladder reach on the building? Round answer to one decimal place
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
1) Mark is buying 4 chairs for his business. The table shows the prices and the advertised sales for the same type
of chair at 4 chair stores.
Based on the advertised sales, at which store will mark get the lowest price on 4 chairs?
A) Store A: Buy 3 chairs and get the 4th chair free
B) Store B: Buy 4 chairs and receive $150 off the price of each chair
C) Store C: Buy 4 chairs and receive $550 off the total price
D) Store D: Buy 4 chairs and receive 35% off the total price
Quantitative Reasoning
(QR.6) Proportional Relationships
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Answers
Answer:
It's Store C
Hope this helps :)
Step-by-step explanation:
Got it right on USA TEST PREP :)
9,390 chairs at 1,565 tables =
chairs per table
Answers
---Divide by 1565
9390 chairs / 1565 tables
6 chairs / table
Hope this helps!
the food bill for meal at a restaurant is $12. THe sales tax is 6.5%, and you leave 15% tip. Wat is the total cost of the meal? PLEASE ANSWER FAST
Answers
Answer:
Step-by-step explanation:
12*6.5%=0.72
12+15%=13.8
0.72+13.8=14.52
a) plot the graph of y= 5 and 2x + y = 8
b) wirte down the coordinates of the point where they cross
explain the steps pls?
Answers
The graph is shown below. Then the linear system crosses each other at (1.5, 5).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
y = 5 ...1
2x + y = 8 ...2
The graph is shown below.
By equations 1 and 2. Then we have
2x + 5 = 8
2x = 3
x = 1.5
Then the lines cross each other at (1.5, 5).
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What is the equation of the quadratic function represented by this table?
Answers
The equation of the quadratic function is y = -1/4(x + 2)² + 4
How to determine the quadratic equation?A quadratic equation is represented as:
y = ax² +bx + c
When x = 0 and y = 3, we have:
3 = a(0)² +b(0) + c
This gives
c = 3
So, we have:
y = ax² +bx + 3
When x = 1 and y = 1.75, we have:
1.75 = a(1)² +b(1) + 3
This gives
a + b = -1.25
Make b the subject
b = -1.25 - a
When x = -2 and y = 4, we have:
4 = a(-2)² +b(-2) + 3
This gives
4a - 2b = 1
Substitute b = -1.25 - a in 4a - 2b = 1
4a - 2(-1.25 - a) = 1
Expand
4a + 2.5 + 2a = 1
Evaluate the like terms
6a = -1.5
Divide both sides by 6
a = -1/4
Substitute a = -1/4 in b = -1.25 - a
b = -1.25 + 1/4
Evaluate
b = -1
So, we have:
y = -1/4x² - x + 3
Factor out -1/4
y = -1/4(x² + 4x) + 3
-------------------------------------------------
Take the coefficient of x
k = 4
Divide by 2
k/2 = 2
Square both sides
(k/2)² = 4
-------------------------------------------------
Add and subtract 4 inside the bracket of y = -1/4(x² + 4x) + 3
y = -1/4(x² + 4x + 4 - 4) + 3
Expand
y = -1/4(x² + 4x + 4) + 1 + 3
Evaluate the sum
y = -1/4(x² + 4x + 4) + 4
Express the bracket as a perfect square
y = -1/4(x + 2)² + 4
Hence, the equation of the quadratic function is y = -1/4(x + 2)² + 4
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PLEASE HELP
Select the correct answer.
A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?
A. 1/18
B. 1/4
C. 1/3
D. 4/9
E. 2/3
Answers
Answer:
C. 1/3
Step-by-step explanation:
there are 48 possible outcomes, and out of those 16 of them have a sum of 3.
16/48
simplify
1/3
A sequence is represented by the formula an=-5+a(n-1). If a4 = 20, what is the 6th term in the sequence?
PLEASE HELP!!
Answers
Answer:
10
Step-by-step explanation:
Formula :
aₙ = -5 + aₙ₋₁Finding a₅ :
a₅ = -5 + a₄a₅ = -5 + 20a₅ = 15Finding a₆ :
a₆ = -5 + a₅a₆ = -5 + 15a₆ = 105. in the following figure, GE= r.
where ris the radius of the circle.
a) What is the nature of the triangle GEO? Justify your answer.
b) By calculating SEG in two different ways. using ares of the
Answers
Answer + Step-by-step explanation:
a) GE = r = GM
Then GEO is an isosceles triangle
b) since GEO is an isosceles triangle then :
m∠SEG = m∠GOM = measure of the arc GM (mGM) (result 1)
On the other hand :
m∠SEG = m∠SEG = (1/2)×(mAS - mGM) (it’s a formula) (result 2)
Now ,we equate (result 1) and (result 2) :
m∠SEG = mGM
m∠SEG = (1/2)×(mAS - mGM)
Then
mGM = (1/2)×(mAS - mGM)
c) mGM = (1/2)×(mAS - mGM)
⇔ 2mGM = mAS - mGM
⇔ 3mGM = mAS
⇔ 3m∠SEA = m∠SOA
Remember:
mGM = m∠GOM = m∠SEA
What binomial do you have to add to the polynomial 2x^2+3y^2-5xy+1 to get the following?
a polynomial that does not contain the variable y
Answers
Answer:
-3y^2+5xy
Step-by-step explanation: Just cancel out all of the numbers with the variable "y"
Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex] gives polynomial that does not contain the variable y .
What is binomial?A mathematical expression consisting of two terms connected by a plus sign or minus sign .
Example: x + 2 is a binomial, where x and 2 are two separate terms.
What is polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer
According to the question
polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]
when added with [tex]-3y^{2}+5xy[/tex]
= [tex]2x^{2}+1[/tex] (as [tex]3y^{2} -5xy[/tex] got cancelled )
that does not contain the variable y
Hence, Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex] gives that does not contain the variable y .
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Given the point (3, 3.5), name a second point so that the two points form a horizontal segment.
Answers
For the horizontal segment, the value of the ordinate will not change. Then the second point will be (x, 3.5).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The point is given as (3, 3.5).
Then name a second point so that the two points form a horizontal segment.
For the horizontal segment, the value of the ordinate will not change.
Let x be the abscissa.
Then the point will be given as (x, 3.5).
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Can somebody help me with this? Please and Thank you
Answers
[tex]\text{Given that,}~ p(x) = x^2 +3 ~ \text{and}~ h(x) = \sqrt{x-3} \\\\(p \circ h)(x)\\\\=p(h(x))\\\\=p\left(\sqrt{x-3}\right)\\\\=\left(\sqrt{x-3} \right)^2 +3\\\\=x-3 +3\\\\=x[/tex]
Driving school A has 386 learner drivers and 284 pass their test first time. Driving school B has 220 learner drivers and 154 pass their first time. What is percentage pass rate of the more successful school? Answer to the nearest whole number.
Answers
Answer:
the more successful school is A
with a percentage pass rate of 74 % (to the nearest whole number)
Step-by-step explanation:
The percentage pass rate of school A :
(284÷386)×100 = 73.575129533679 %
The percentage pass rate of school B :
(154÷220)×100 = 70 %
73.575129533679 > 70
Then ,the more successful school is A
with a percentage pass rate of 74 % (to the nearest whole number)
The length of a field measures 3.5 miles.
what does the length of the field measure in feet?
note: 1 mile = 5,280 feet
13,200 ft
15,840 ft
18,480 ft
21,120 ft
Answers
Answer:
18480 feet
Step-by-step explanation:
5280 feet are in a mile 3.5 ×5280=18480
Examine the following PSA How is the creator of this PSA sharing a viewpoint about the importance of reading? by providing a strategy for encouraging kids to read more often by showing what will happen if people do not read frequently by highlighting one of the benefits that comes from reading by featuring a specific fact about the importance of reading
Answers
The statement third “by highlighting one of the benefits that comes from reading” is correct.
What is reading?Reading is a thinking process that entails interpreting words in deriving information.
We have statements about the importance of reading:
by providing a strategy for encouraging kids to read more often.by showing what will happen if people do not read frequently.by highlighting one of the benefits that comes from reading.by featuring a specific fact about the importance of reading.According to the PSA, the correct statement about the importance of reading is by highlighting one of the benefits that comes from reading.
Thus, the statement third “by highlighting one of the benefits that comes from reading” is correct.
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Answer:
C
Step-by-step explanation:
Which probability is correct? p(a) = three-fifths p(b) = startfraction 16 over 31 endfraction p(a|b) = two-sevenths p(b|a) = startfraction 10 over 21 endfraction
Answers
The correct probability expression is (a) P(a) = three-fifths
How to determine the correct probability ?Using the data in the complete question, we have:
n(A) = 3
n(U) = 5
The probability of A is then calculated using:
P(A) = n(A)/n(U)
This becomes
P(A) = 3/5
Hence, the correct probability expression is (a) P(a) = three-fifths
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Answer:
It’s A my friend
Step-by-step explanation:
i did the quiz
yw :)
hope i helped/ made life easier
6x5= 9x6= 8x7= 2x3= please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Which of the following indicates that AABC and ADEF are similar?
Answers
Answer:
C. ΔABC ~ ΔDEF
Step-by-step explanation:
The operators in the different answer choices are used to describe different kinds of relations.
A. "almost equals" or "is approximately"
B. "equals"
C. "is similar to" (tilde operator)
D. "is congruent to"
__
Additional comment
"Congruent" is used to describe geometrical figures in which all corresponding measures are identical. "Equal" generally refers to the relationship between algebraic or numerical values or expressions.
"Is approximately" is used to describe values that are the same within a suitable tolerance or error range. For example, 23.4 ≈ 23.352, where the value on the left has been rounded to the nearest tenth. (It is within 0.05 of the value on the right.)
Really need help and am hoping someone can help me!!
Answers
factor out the ___ from the number to make it positive
Answers
Yea solve equation by factoring
7x² - 39x + 17 = -3
Answers
Answer:
x = 4/7, 5
Please mark Brainliest :)
Answer:
x = 4/7 or x = 5
Step-by-step explanation:
Step 1: Add to 3 to both sides
[tex]7x^2-39x+17+3=-3+3[/tex] [tex]7x^2-39x+20=0[/tex]Step 2: Factor by grouping
This equation is in the form ax² + bx + c = 0. Since there are no terms that multiply to 20 and add to -39, we have to find terms that multiply to a (7) * (20) and add to -39.
Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140-35 x -4 = 120, and -35 - 4 = -39. Thus, the two terms are -35 and -4.Now, we split -39x into -35x and -4.
7x^2 - 35x - 4x + 20.(7x² - 35x) + (-4x + 20)Next, we factor each expression in the parentheses. After that, we put the terms outside the parentheses together. Reminder, the terms inside the parentheses should be the same.
[tex]7x(x-5)-4(x-5)[/tex] [tex](7x-4)(x-5) = 0[/tex]Step 3: Solve for x using 7x - 4 = 0 and x - 5 = 0.
[tex]7x-4=0[/tex] [tex]7x-4+4=0+4[/tex] [tex]7x=4[/tex] [tex]7x/7 = 4/7[/tex] [tex]x= 4/7[/tex]or
[tex]x-5=0[/tex] [tex]x-5+5=0+5[/tex] [tex]x=5[/tex]