Answer:
[tex]y = 25 + 6x[/tex]
Step-by-step explanation:
The given options are not in anyway related to the question. So, I will do away with them.
Given
[tex]Set-up\ Fee = \$25[/tex]
[tex]Per\ Shirt = \$6[/tex]
Required
Determine the linear relationship
Let
y represents the total cost
x represents the number of shirts
The relationship between x and y is:
[tex]y = Setup\ Fee + Amount\ Per\ Shirt * x[/tex]
This gives:
[tex]y = 25 + 6* x[/tex]
[tex]y = 25 + 6x[/tex]
Last year there were 620 7th graders. This year the enrollment has increased by 105%. How many 7th graders are there this year?
Answer:
1,271
Step-by-step explanation:
620 + (105% × 620) =
620 + 105% × 620 =
(1 + 105%) × 620 =
(100% + 105%) × 620 =
205% × 620 =
205 ÷ 100 × 620 =
205 × 620 ÷ 100 =
127,100 ÷ 100 =
1,271
Which describes the transformation shown below
A
B
C
D
Answer:
i think the answer is a to be honest
Step-by-step explanation:
Which expression is equivalent to 4(7c+ 3) + 5?
11c + 7+ 5
28c + 7 + 5
28c + 12 + 5
28c + 12 + 20
Answer:
its C. You multiply 4 with the numbers in parentheses and just add the 5
HELP IS THIS PROPORTIONAL
Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.
Answer:
The maximum amount of apples she could buy is 7
Step-by-step explanation:
3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.
prove a stronger version of proposition 2.3.7 suppose xn ia a sequence such that every subsequence xni has a subsequence xnmi that converges to x
Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
which line is parallel to y=1/2x+5?
Answer:
the first one (y = 1/2x - 7)
Step-by-step explanation:
If the lines are parallel, the slope has to be the same.
D. Evaluate each of the following. (5 points)
Let f(x) =x+1/x
1. f(1)
2. (f •f)(1)
3. (f•f•f)(1)
4. (f•f•f•f)(1)
5. (f•f•f•f•f)(1)
Problem 1
f(x) = x + 1/x
f(1) = 1 + 1/1
f(1) = 1 + 1
f(1) = 2
Answer: 2
============================================
Problem 2
(f o f)(1) = f( f(1) )
(f o f)(1) = f( 2 )
(f o f)(1) = 2 + 1/2
(f o f)(1) = 4/2 + 1/2
(f o f)(1) = 5/2
Answer: 5/2
============================================
Problem 3
(f o f o f)(1) = f( f(f(1)) )
(f o f o f)(1) = f( (f o f)(1) )
(f o f o f)(1) = f( 5/2 )
(f o f o f)(1) = 5/2 + 1/(5/2)
(f o f o f)(1) = 5/2 + 2/5
(f o f o f)(1) = 25/10 + 4/10
(f o f o f)(1) = 29/10
Answer: 29/10
============================================
Problem 4
(f o f o f o f)(1) = f( f(f(f(1)) )
(f o f o f o f)(1) = f( (f o f o f)(1) )
(f o f o f o f)(1) = f( 29/10 )
(f o f o f o f)(1) = 29/10 + 1/(29/10)
(f o f o f o f)(1) = 29/10 + 10/29
(f o f o f o f)(1) = 841/290 + 100/290
(f o f o f o f)(1) = 941/290
Answer: 941/290
============================================
Problem 5
(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )
(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )
(f o f o f o f o f)(1) = f( 941/290 )
(f o f o f o f o f)(1) = 941/290 + 1/(941/290)
(f o f o f o f o f)(1) = 941/290 + 290/941
(f o f o f o f o f)(1) = 885481/272890 + 84100/272890
(f o f o f o f o f)(1) = 969581/272890
Answer: 969581/272890
A function assigns the values. The value of (f•f•f•f•f)(1) is 969581/272890.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
1.)
The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,
f(x) = x + 1/x
f(1) = 1 + 1/1
= 1 + 1
= 2
2.)
(f · f)(1) = f( f(1) )
Since the value of f(1)=2, therefore, it can be rewritten as,
(f · f)(1) = f(2)
= 2 + 1/2
= 4/2 + 1/2
= 5/2
3.)
(f · f · f)(1) = f( f(f(1)) )
Since the value of f(f(1))=5/2, therefore, it can be rewritten as,
(f · f · f)(1) = f( (f·f)(1) )
= f( 5/2 )
= 5/2 + 1/(5/2)
= 5/2 + 2/5
= 25/10 + 4/10
= 29/10
4.)
(f · f · f · f)(1) = f( f(f(f(1)) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f · f · f · f)(1) = f( (f·f·f)(1) )
= f( 29/10 )
= 29/10 + 1/(29/10)
= 29/10 + 10/29
= 841/290 + 100/290
= 941/290
5.)
(f · f · f · f · f)(1) = f( f(f(f(f(1)))) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f o f o f o f o f)(1) = f( (f·f·f·f)(1) )
= f( 941/290 )
= 941/290 + 1/(941/290)
= 941/290 + 290/941
= 885481/272890 + 84100/272890
= 969581/272890
Hence, the value of (f•f•f•f•f)(1) is 969581/272890.
Learn more about Function here:
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Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)
Answer:
y-intercept is (0,8)
c. x-intercept is (-8, 0)
Step-by-step explanation:
y=x+8
x=0
y+0=8
y=8
y=0
y=x+8
0=x+8
x=-8
Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer
Answer:
<FEA is 70 degrees. It is already given.
Marie has a recipe that calls for 2 cups of flour for 3 dozen cookies. How much flour would she
need to make 60 cookies?
A 4 cups
B 3 3/4 cups
C 3 1/4 cups
D 3 1/3 cups
Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.
a) y = x + 1
b) y = - x -
c) y = - x - 3
d) y = x +
Answer:
c
Step-by-step explanation:
Just trust me ive had ths question before
2) Suzie has a used Honda Accord she wants to list on Craigslist. She sees similar listings to
hers with the following amounts:
$9800, $8700, $9600, $10000, $11000, $7500, $8000, $10500
a) Are there any outliers in this data set?
b) Suzie will list the car at whatever the mean value is. What will she list the car at?
c) The actual cost of the car is the minimum value. What is the actual cost of the car?
d) What is the median value of the data?
e) What is the range of the data?
write the percent as fraction: 8⅓%
Answer:
2700%
Step-by-step explanation:
8 1/3% expressed as a fraction is:
25/3
The given number is in mixed fraction 8 1/3 .
To write it in fraction follow the steps,
Step 1 - Multiply 8 by 3,
8x3=24
Step 2 - Add 24 and 1,
24+1=25
The required fraction became 8 1/3 = 25/3 .
Hopes this helps :)
Kimberly wrote a check for $58 to pay her monthly telephone bill, but when balancing her checkbook, she accidentally recorded it as credit rather than as a debit. How will her check register compare to her monthly bank statement when she receives it
Answer:
C. The balance in her check register will be $116 over the balance on her bank statement.
24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation (2 between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions? Round any values to the nearest tenth, if necessary. 12 32 7 26 28 15 Leg Press (reps) 1 40-yard Dash (s) 8.6 14.6 7.1 8.3 11.9 19.4 9.5
Answer:
ŷ = 0.1197X + 9.2741
11.9 seconds
Step-by-step explanation:
Given the data:
Average number of leg press Repetition and average 40 yard dash line
Leg press rep (x) : 12 32 7 26 28 15 1
40 yard dash (y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
Using the linear regression calculator :
The equation of the line of best fit obtained is :
y = 0.1197X + 9.2741
Where;
x = leg press (predictor variable)
y = 40 yard dash (predicted variable)
Slope = 0.1197
Intercept = 9.2741
How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?
22 leg press Repetitions = x
From the line of best fit equation :
y = 0.1197(22) + 9.2741
y = 11.9075
y = 11.9 seconds
The lines of best fit is the trend line of the dataset.
The equation of line of best fit is [tex]\mathbf{y =0.120x + 9.274}[/tex]The time for 22 leg-press reps is 11.9 seconds(a) The equation of the line of best fit
The table is given as:
(x) : 12 32 7 26 28 15 1
(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
To determine the equation of line of best fit, we make use of a regression calculator.
Enter the above dataset in a regression calculator, the equation is:
[tex]\mathbf{y =0.120x + 9.274}[/tex] -- approximated to three decimal places
(b) The number of seconds for 22 leg-press reps
This means that x = 22.
So, we have:
[tex]\mathbf{y =0.120 \times 22 + 9.274}[/tex]
[tex]\mathbf{y =2.64 + 9.274}[/tex]
[tex]\mathbf{y =11.914}[/tex]
Approximate to the nearest tenth
[tex]\mathbf{y =11.9}[/tex]
Hence, the time for 22 leg-press reps is 11.9 seconds
Read more about linear regressions at:
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Jasmin can walk 1/4 mile every 1/5 hour. At this rate, how far can Jasmin
walk in one hour?
Answer:
hope this helps :)
Step-by-step explanation:
Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.
So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour
Jazmeen can walk 1.25 miles in one hour.
Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the other end point.
Answer:
The coordinates of other point are: (5,1)
Step-by-step explanation:
Given coordinates are:
M(x,y) = (2,4)
R(x_1,x_2) = (-1,7)
We have to find the coordinates of other point (x2,y2)
The formula for mid-point is given by:
[tex]M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Putting the values we get
[tex](2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})[/tex]
Putting respective elements equal
[tex]\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1[/tex]
Hence,
The coordinates of other point are: (5,1)
pleaseee helpp meee
Answer:no
Step-by-step explanation:hope it helps
There are (36)2 ⋅ 30 candies in a store. What is the total number of candies in the store? (5 points)
A. 3 to the power of 3
B. 3 to the power of 4
C. 3 to the power of 8
D. 3 to the power of 12
Answer:
i thibbnk
Step-by-step explanation:
PLEASE HELP! ILL GIVE BRAINLEST!
Question 1(Multiple Choice Worth 5 points)
(04.06A HC)
The table and the graph below each show a different relationship between the same two variables, x and y:
A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 3,180 and 4,240 and 5,300 and 6,360. On the right of this table is a graph. The x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis values on the graph are from 0 to 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2, 70 and 4, 140 and 6, 210 and 8, 280 is drawn.
How much more would the value of y be in the table than its value on the graph when x = 11?
110
150
215
275
Answer:
275
Step-by-step explanation:
calculator
Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?
Answer: f(2) is a relative minimum
This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.
Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].
What is the value of the expression shown below?
Please use the photo for whole question, it shows the answers.
Answer:
It should be
Step-by-step explanation:
B.23 1/4100 POINTS PLEASE HELP
Please be accurate with this too.
Answer:
The answer is A :)
Step-by-step explanation:
Describe all numbers x that are at a distance of 1/2 from the
number – 4. Express this using absolute value notation.
Answer:
| x + 4 | = 1/2
Step-by-step explanation:
We want the numbers on the number line that are at a distance of 1/2 from "-4".
We can express such via the absolute value as :
| x - (-4) | = 1/2
| x + 4 | = 1/2
a line passes through the point (-8,6) and has a slope of 3/4 in general form
Answer:
y = 3/4x + 12
Step-by-step explanation:
let equation of the line be y = 3/4x + b
sub (-8, 6):
6 = 3/4(-8) + b
12 = b
therefore equation of the line is y = 3/4x + 12
Topic: Coordinate Geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
Step-by-step explanation:
We need to find equation of line that passes through the point (-8,6) and has a slope of 3/4 in general form.
The general form of linear equation is [tex]Ax+By+C=0[/tex]
First we will use slope-intercept form i.e, [tex]y=mx+b[/tex] to find equation and then write it in general form.
Where m is slope and b is y-intercept.
We are given slope = 3/4 but y-intercept is not given and we need to find.
Finding y-intercept
Using the point (-8,6) and slope m = 3/4 we can find y-intercept
[tex]y=mx+b\\6=\frac{3}{4}(-8)+b\\6=3(-2)+b\\6=-6+b\\b=6+6\\b=12[/tex]
So, y-intercept b is 12
Equation of line
The line has slope m=3/4 and y-intercept b is 12, the equation is:
[tex]y=mx+b\\y=\frac{3}{4}x+12[/tex]
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
5. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
Tra
Figure P was rotated about the center shown by 180°.
P
Tra
center
Which figure is the image of P?
Qu
Choose 1 answer:
809
Tak
A
А
P Р
Ro
B
B
P Р
Qu
0%
Tal
P Р
Rel
D
P Р
Answer: got it correct
Step-by-step explanation:
And yeah
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.
Complete question :
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.
a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?
Answer:
0.17
0.29686
0.000092
Step-by-step explanation:
Given that :
Probability of success (p) = 0.3
Number of cases (n) = 15
1 - p = 1 - 0.3 = 0.7
Usung binomial distribution formula :
a. What is the probability that exactly 3 of these 15 crimes will be solved?
P(x = 3)
Recall:
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 15C3 * 0.3^3 * 0.7^12
P(x = 3) = 455 *
P(x = 3) = 0.17
B.) What is the probability that at most 3 of these 15 crimes will be solved?
P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
To save computation time, we can using the binomial probability calculator :
P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686
c. What is the probability that more than 11 of these 15 crimes will be solved?
P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)
P( X > 11) = 0.000092
If 3x−y=12, what is the value of
8x/2y?
A) 212
B) 44
C) 82
Answer:
[tex]\frac{8^x}{2^y} 2y=2x^{12}[/tex]
Step-by-step explanation:
Since the numerator and denominator have a common base, this expression can be rewritten as 2(3x−y).
substitute 12 for the exponent, 3x−y and you will get A
Answer:
The answer is A [tex]2^{12}[/tex]
Step-by-step explanation:
Since 2 and 8 are both powers of 2, substituting 23 for 8 in the numerator of
[tex]\frac{8x}{2y}[/tex]
gives you
[tex]\frac{8x}{2y} 2y=2x^{12}[/tex]