Answer: PART A:
Recall that the equation of a line in standard form is of the form:
ax + by = c
where a, b, and c are constants.
The equation of a line passing through two points:
and
is given by:
Given that Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.
This,
and
Thus, the equation of the line is given by:
Therefore, the equation of the line in standard form is
PART B:
To write the equation with a function notation, we first express y in terms of x and then change y notation to f(x) notation.
Recall from part 1:
Therefore, the equation obtained in Part A written using function notation is given by:
PART C:
To graph the equation obtained above, we draw the x- and y- axis with the x-axis labelled 'number of hours' and the y-axis labelled 'total rent'.
Next, we choose appropriate scales for x- and y- axis. Depending on the size of your graph book, you can choose an interval of 1 unit for the x-axis and an interval of 10 units for the y-axis.
From part A, we know that the line of the equation passes though points (3, 43) and (8, 113), mark these points and draw a straight line passing theough these points.
Step-by-step explanation:
A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the number of memberships sold.
Determine the zeros, and explain what these values mean in the context of the problem.
x = 9, x = 18; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 9, x = 18; The zeros represent the number of monthly memberships when no profit is made.
x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 12; The zeros represent the number of monthly memberships when no profit is made.
Answer: the zeros are at (6,0) and (12,0) where no profit is made.
option D
Step-by-step explanation: you can find the zeros ( the x-intercepts), by either graphing out the function or factoring it.
in this scenario, there is no y increase, which means 0 profit.
In a regular 52 deck of cards, what is the probability of picking a random spade, a 4 of any suit and then a random diamond with replacement?
[tex]sample \: space = 52 \: cards \\ spades = 13 \: cards \\ number \: 4s = 4 \: cards \\ diamonds = 13 \: cards \\ note \: that = \\ there \: is \: replacement \\ order \: does \: matter[/tex]
[tex]P( \gamma ) = \frac{13}{52} \times \frac{4}{52} \times \frac{13}{52} = \frac{1}{208} [/tex]
hello can someone help me with this
Answer:
I am going to answer the ones you haven't answered yet...
Bullet point 2: The Y-intercept is where the graph crosses the y-axis in this case that would be y=0 or (0,0)
Bullet Point 5: the question basically says that for the values of x when they are between 0 and 6 the y values are ___. the answer for this one would be y ≥ 0.
Question 8(Multiple Choice Worth 5 points)
(01.03 MC)
Which expression is equivalent to 32.3-52
0
3³
Answer:
1/3^3
Step-by-step explanation:
The answer is 1/3^3 or 1/27 because 3^2 is 9 and 3^-5 is 1/243. This results in the equation 9 x 1/243. When simplified you get 1/3^3 or 1/27.
How do you figure out if a shape is similar or not using rectangle diagnols?
Answer:
How do you figure out if a shape is similar or not using rectangle diagnols?
Assuming that diagnols = diagonal, it is not possible to define a similarity relationship without measuring at least one side.
Find the area
of the figure.
Answer:
first the triangle
t area=b x h ÷2
=(5ft x 10.5ft)÷2
=26.25ft sq unit
second the rectangle
r area=L × b
=9ft × 7.5ft
=67.5ft sq unit
last the triangle
t area= b×h÷2
=(9ft×4.5ft)÷2
=20.25ft sq unit
Total area= 26.25ft+65.5ft+20.25ft =112ft sq unitAnswer:
110.25 ft^2
Step-by-step explanation:
We can find the area of the figure by adding up the areas of three different shapes.
1) The right triangle
The formula for finding the area of a right triangle is: Base x Height x 1/2
The base in the right triable is 5 and the height is 9.
--> 5 x 9 x 1/2
--> 45/2
--> 22.5
2) The rectangle
The formula for finding the area of a rectangle is: Base x Height
The base is 7.5 and the height is 9.
--> 7.5 x 9
--> 67.5
3) The Isosceles Triangle (On the very right)
The formula for finding the area of a right triangle is: Base x Height x 1/2
The base of the triangle is 9, and the height is 4.5.
--> 9 x 4.5 x 1/2
--> 40.5/2
--> 20.25
Now that we know the areas of separate shapes, all we need to do is add them up!
22.5 + 67.5 + 20.25
= 110.25.
The area of the figure is 110.25 ft^2
PLEASE HELP QUICK!
A pencil cup is shaped like a right rectangular prism. It has a base area of 9 square inches and a height of 312 inches.
What is the volume of the pencil cup?
1212 in³
1534 in³
2114 in³
3112 in³
Answer:
i got 2808 in3 which wasn't on the list and i was extremely confused, i redid the problem multiple times and got the same answer, i used a calculator AND searched of the web, it still gave me the same answer, if those are the only options something might be wrong, the answer should be 2808 in3.
PLEASE HELP ME ASAP!!!!!!
Answer:
Triangles are congruent due to SAS
Angles are congruent due to CPCTC
Step-by-step explanation:
In order to prove the congruency of the angles, we have to prove the congruency of the triangles.
ME=MR is given so that is a side
They share angle M so that is an angle
And, MA=MN which is given so that is a side.
The two triangles are congruent due to SAS postulate
So the angles are equal due to CPCTC
Angles E and R are congruent as they are the corresponding parts of two congruent triangle.
Given is a figure which shows two connected triangles ΔEMA and ΔRMN,
We need to prove ∠E ≅ ∠R.
Considering the triangles,
ME = MR [given]
MA = MN [given]
∠M is common angle in both triangles,
So, ΔEMA ≅ ΔRMN by SAS postulate.
So, ∠E ≅ ∠R by CPCTC.
Hence proved.
Learn more about congruent triangle click;
https://brainly.com/question/29116501
#SPJ7
PLSSS HELP IM STILL BEING TIMEDD
Answer:
68°
Step-by-step explanation:
corresponding angles are the same
3 friends shared 48 pineapples equally among themselves. One of the friends sold all his pineapple each at $5 how much did he get from selling the pineapples?
Answer: $80
Step-by-step explanation:
Step 1: Find how much each person got
48 pineapples shared amongst 3 people
48÷3= 16 pineapples each
Step 2: Find how much he earned
16 pineapples for $5 each
Total money made: 16x5= 80
$80 in all selling his share of the pineapples
hope this helps!!
The total amount of money the friend made from selling his pineapples is $80
How much did he get from selling the pineapples?Total pineapples = 48
Total friends = 3
Number of pineapples each friend takes = Total pineapples / Total friends
= 48/3
= 16 pineapples per friend
Cost of each pineapple = $5
Total amount the friend made from selling his pineapples = Cost of each pineapple × Number of pineapples each friend takes
= $5 × 16
=$80
Hence, the friend made $80 from selling his pineapples.
Read more on selling price:
https://brainly.com/question/28189871
#SPJ2
Hi! I’ll give brainliest to best answer!
Thanks so much in advance!
It is 10:30pm and my brain is not cooperating with me.
Answer:
[tex]v = 180 {cm}^{3} [/tex]
Step-by-step explanation:
V= lwh or l *w*h
Length: 15
Width: 3
Height:4
V=15*3*4
V=180
Step-by-step explanation:
so, you can't do any basic calculations anymore ? turned into a true couch potato/vegetable ?
the volume of a block is
length × width × height.
similar to the 2 dimensional problem of the area of a rectangle : length × width.
now we have one more dimension. that's all.
V = 15 × 4 × 3 = 180 cm³
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)
also daM, that's a lot of calls
Step-by-step explanation:
Answer: 60 local calls bcz you remove the other 2 charges then divide by .25
Step-by-step explanation:
Find the quotient. 5 1/4 - 15
a. 7/20
b. 78 3/4
c. 2 6/7
d. 3 1/4
Plotting Equivalent Ratios
Mr. Hendricks is plotting equivalent ratios on a coordinate plane. One of the ordered pairs is (3, 5). Which other ordered pair could he plot?
Evelyn bought needles, balls of yarn, stitch holders, and patterns for her knitting kit. she bought 3 times as any stitch holders as patterns. 7 less needles than stitch holder, and 2 balls of yarn. She paid $5.25 for each pattern, $0.50 for each stitch holder, $3.25 for each needle, and $7.50 for each ball of yarn. How many of each did Evelyn purchase if she paid $58.25
Answer:
answer is going to be
4 patterns
5 needles
2 balls of yarn
and 12 stitch holders
hope this helped u bro
PLEASE HURRY IM TIMED, The perimeter of a rectangular swimming pool is 70 yards. Its length is 25 yards. Which of the following can be used to find the width?
A.
width = (70 yd + 50 yd) ÷ 4
B.
width = (70 yd − 50 yd) ÷ 4
C.
width = (70 yd − 50 yd) ÷ 2
D.
width = (70 yd + 50 yd) ÷ 2
I thik the option C should be used.
Answer:
C
Step-by-step explanation:
There are 2 sides for length- 25+25=50
70-50=20. Divide that by 2 sides, 10 yards for width
the point of M ( a, 4 ) is the midpoint of the line segment with endpoint at A(1,3) and B(5,b). Find the value of a and b
The value of a and b from the coordinates are 3 and 5 respectively
Midpoint of coordinatesThe formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
Learn more on midpoint here: https://brainly.com/question/18315903
#SPJ1
John drew a trapezoid ABCD on a coordinate plane. The coordinates are as follows
A(8,4)
B(10,4)
C(13,-1)
D(8,-1)
What is the length of the side AD?
Answer: 5
Step-by-step explanation:
If the sides of A is (8,4) and the coordinates of D is (8-1), the same value in both coordinates are 8 and the different values are 4 (A) and -1 (D). We will take the absolute values (AV) of both when added: |4 + -1|.
The answer will be 5 grids (or whatever measurements the question uses).
Evaluate the given algebraic expressions replacing x with -2 and y with 1
[tex]3x^{2}[/tex]
Answer: -6
Step-by-step explanation: -2^1 = -2
3 x -2 = -6
Copy the problems onto your paper, mark the givens and prove the statements asked.
CN=WN, ∠C≅∠W
Prove RN=ON
The statements and reasons for the proof are:
CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]What is the CPCTC and ASA Congruence Theorem?When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.
The statement for the proof along with the reasons in bracket are:
CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]Learn more about the CPCTC theorem on:
https://brainly.com/question/14706064
#SPJ1
HELP PLEASE!!!!!!!!!!!!!!!!!!!! I NEED IT ASAP!!!!!!!!!
Maybe that I'm wrong, Only one way to find out.
There were 35 students in a school. 20 of the students passed a test. The rest were shared equally among 3 teachers for extra classes. How many students did each teacher receive?
Answer:
5 students
Step-by-step explanation:
35-20=15
15/3=5
Answer:
35 kids 20 students pass the test 35 -20 = 15 divided by 3 =5 students per teacher.
Step-by-step explanation: hope this helps can I be brainlyest. This is a bunny /\__/\
| * . * |
Q.3 - The table and the graph each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table than its value on the graph when x = 11?
Because y=20x in this table, the value of y is worth 20 times as much as the value of 11.
How can I tell which graph represents the function's graph?A feature's graph In a plane of the form (x, f(x)), all factors have the form f. As a side note, the graph of f may also be thought of as the graph of y = f. (x). Because of this, a feature's graph is a particular case in the graph of an equation.
When it comes to graphing, what exactly is the axis?To explain the graph's meaning and the measuring devices, an axis is a line drawn to the graph's aspect or backside. It is possible to provide information about what the graph shows by labeling the x-axis, the horizontal line at its lowest point.
To learn more about graphs visit
brainly.com/question/4025726
#SPJ1
Can someone answer this question pls- 40 points? plus brainliest if you explain.
1. A light bulb is one-hundredth of an inch thick, with an allowable error of 2%. What is the least allowable thickness of the filament?
A. 0.00098
B. 0.0002
C. 0.0098
D.0.0102
Answer:
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
We can then calculate the least allowable thickness of the filament as:
The least allowable thickness of the filament is 0.00998 Inches.
Answer:
C. 0.0098
Explanation:
one-hundredth of an inch: 1/100 ≈ 0.01 (inch)
Upper-bound (maximum error):
= 0.01 × (100% + 2%)
= 0.01 × 102%
= 0.0102 inches
Lower-bound (minimum error):
= 0.01 × (100% - 2%)
= 0.01 × 98%
= 0.0098 inches
Hence, the greatest allowable thickness of filament is 0.0102 inches and mostly the least allowable thickness is 0.0098 inches, which is the answer.
What’s the measure of x?
( It’s on khan academy ) thanks :)
50 points!!! and will give brainlyiest
Answer:
[tex]\huge\boxed{\sf x =28 \textdegree}[/tex]
Step-by-step explanation:
Given that,
∠IAK = 62°
∠IAK + ∠IAD = 90° (Complementary angles)
62 + ∠IAD = 90°
Subtract 62 to both sides
∠IAD = 90 - 62
∠IAD = 28°∠IAD = ∠ACB (Corresponding angles are equal)
So,
∠ACB = 28°∠ACB = ∠GCJ (Vertically opposite angles are equal)
So,
28° = x°
OR
x° = 28°[tex]\rule[225]{225}{2}[/tex]
Answer:
28 degrees
Step-by-step explanation:
If two lines cross each other, it makes 4 angles, and 2 angles from opposite sides have the same length. Since line KL and line IJ crossed, angle KAI and angle LAJ will have the same angle.
--> Angle LAJ is 62 degrees
If we look closely, there is a triangle ABC, and since the question said that line KL and line FG is perpendicular, the angle ALG will be 90 degrees.
We know that in a triangle, there are three angles, and the angle measures combined equals 180.
Since we know two angles: 90 and 62, we take them away from 180 to find the last angle BCA.
--> 180 - 90 - 62 = 28
--> Angle BCA = 28 degrees
Like I said at the beginning, if two lines cross each other, opposite angles are the same size. So angle x will also be equal to angle BCA, which is 28 degrees.
Angle x = 28 degrees
Q.2 - The graph shows the number of paintballs a machine launches, y, in x seconds:
Which expression can be used to calculate the rate per second at which the machine launches the balls?
Answer:
c
Step-by-step explanation:
The equation 4x2 + 8x + 15 = 0 is being rewritten in vertex form.
Fill in the missing step.
Given 4x2 + 8x + 15 = 0
Step 1 4(x2 + 2x ___) + 15 ___ = 0
Step 2 blank
Step 3 4(x + 1)2 + 11 = 0
A:4(x2 + 2x + 1) + 15 − 4 = 0
B: 4(x2 + 2x + 1) + 15 − 1 = 0
c: 4(x2 + 2x + 2) + 15 − 2 = 0
D: 4(x2 + 2x + 4) + 15 − 4 = 0
What is the relationship between x and y?
Oy and x stay constant
Oy increases as x increases
Oy decreases as x increases
Oy stays constant as x increases
Is this correct?
A boy earned $50. He saved $42 and used the rest to buy some text books. How much was each text book if he bought 4 texts books
Answer:
each book was 2 dollars
Explanation:
boy earned $50 he saved 42 dollars and used the rest ($8) to buy textbooks and he bought 4 text books that means each textbook is 2 dollars how (8÷4=2) .
hope it helps and Is what ur looking for.