Answer:
:)
Step-by-step explanation:
Part A: To get an equation into standard form to represent the total amount rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.
Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}
Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
But if you are writing the equation in standard form it would be
50x - y = -25
Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.
Writing the equation using the function notation would give us this
f(x) = 50x + 25
Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
B is the midpoint of line AC. Which statement best describes the relationship between triangles ABD and CBD?
Answer:
Triangles ABD and CBD are congruent by the SSS Congruence Postulate
Step-by-step explanation:
AB = CB
AD = CD
and BD is the common side.
The statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
What are similar triangles?"Two triangles are similar when their corresponding angles are equal and corresponding sides are in equal proportion."
What are congruent triangles?"Two triangles are congruent if their corresponding sides are equal and corresponding angles are equal in measure."
What is SSS congruence postulates?"Two triangles are congruent if all three sides of a triangle are congruent to corresponding three sides of other triangle."
What is SSS similarity postulates?"Two triangles are similar if all the three sides of a triangle are in proportion to the three sides of another triangle."
What is SAS similarity postulates?"Two triangles are similar if the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle between the two sides in both the triangle are equal."
What is SAS congruence postulates?"Two triangles are congruent if two sides and the angle between these two sides of one triangle are congruent to the corresponding two sides and the included angle of a second triangle."
For given question,
We have been given triangles ABD and CBD.
B is the midpoint of line AC
⇒ AB = BC
For triangles ABD and CBD,
side AB = side CB ............(since, B is the midpoint of line AC)
side BD = side BD .............(common side)
side AD = side CD ............(measures 15 units each)
So, by SSS postulates of triangle congruence triangles ABD and CBD are congruent triangles.
Therefore, the statement that best describes the relationship between triangles ABD and CBD is 'Triangles ABD and CBD are congruent by the SSS Congruence postulate'
The correct answer is option (a)
Learn more about SSS postulate of triangle congruence here:
https://brainly.com/question/1593616
#SPJ2
Are these correct????
Answer:yes it is right
Step-by-step explanation that’s right
Answer: pretty sure
Step-by-step explanation:
Please give me a brainliest even if im wrong im strugling please
the relationship between time and distance remaining on a 3 mile walk for someone walking at steady rate of 2 miles per hour
Try finding how many meters they travel in ONE second) Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds.
Answer:
Mai travels 2.5 meters in 1 second
Priya travels 2.2 meters in 1 second
Step-by-step explanation:
Try finding how many meters they travel in ONE second) Mai and Priya were on scooters.
For Mai
Mai traveled 15 meters in 6 seconds.
Hence,
6 seconds = 15 meters
1 second = x meters
Cross Multiply
6x = 15 meters
x = 15/6
x = 2.5 meters
Hence, Mai travels 2.5 meters in 1 second
For Priya
Priya travels 22 meters in 10 seconds.
Hence,
10 seconds = 22 meters
1 second = x meters
Cross Multiply
10x = 22 meters
x = 22/10
x = 2.2 meters
Hence, Priya travels 2.2 meters in 1 second
What is the exponential function
that best models the number of
gnats the scientists have gathered
after the number of hours listed?
a)use demos to determine the exponential equation that best fits the data in the table. What is the equation?
b)
How many hours will it take
for 200 gnats to gather?
Hours~ 0,1,2,3,4
Number of gnats~ 12,20,35,60,80
Answer:
Number Sense 3. ... Activity #2 - Solving Exponential Equations (self-checking) 5. ... #2: Used four of the star station C's problems in the Exponential Math Workshop. ... Please feel free to email me with any questions or join our office hour ... There are a variety of activities, most of which allow you to check your answers. 3.
Step-by-step explanation:
How to use graph of equation
Answer:
Locate the y-intercept on the graph and plot the point.
From this point, use the slope to find a second point and plot it.
Draw the line that connects the two points.
Step-by-step explanation:
Find the y intercept on the graph
Then from the points where the y intercept passes find the second point and graph it
Then draw the line where they connect
Can some one explain what an arithmetic sequence is...?
Answer:
An arithmetic sequence is an infinately long set of numbers that increase by a certain amount(this amount is called the common difference) every number. for example, 1,2,3,4,5... is an arithmetic sequence with a common difference of one.
[tex]f(x) = \frac{x}{7} f(7) =[/tex]
Step-by-step explanation:
f(x) = x/7
When x = 7, f(7) = 7/7 = 1.
Answer:
f(7) = 1
Step-by-step explanation:
We are given:
[tex]f(x)=\frac{x}{7}[/tex]
and we need to find f(7)
For finding f(7) we will put x = 7 in the given term [tex]f(x)=\frac{x}{7}[/tex]
Putting x = 7
[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]
So, f(7) = 1
please help, i will mark you brainliest :))
Answer:
0.2
Step-by-step explanation:
The mean of the following frequency distribution is 25.2. Find the missing frequency x.
Class
0 - 10
10 - 20
20 – 30
30 – 40
40 - 50
Frequency
8
x
10
11
9
Answer:
Solution:-
Frequency Distribution Frequency Mid values F*M
0 - 10 8 5 40
10 - 20 x 15 15x
20 - 30 10 25 250
30 - 40 11 35 385
40 - 50 9 45 405
_____________________________________________________
Σf = 38+x Σfm = 1080+15x
______________________________________________________
Given Mean = 25.2
Mean = Σfm/Σf
25.2 = 1080+15x/38+x
25.2 × (38+x) = 1080+15x
957.6+25.2x = 1080+15x
25.2x - 15x = 1080 - 957.6
10.2x = 122.4
x = 122.4/10.2
x = 12
Missing frequency = 12 Answer
Hope it helps.
If you have any query, feel free to ask.
Solve the system of equations: y = 2x - 5, y=x^2- 5
A. (0, -5) and (2, - 1)
B. (0,5) and (2, 2)
C. (-1,-4) and (3, 4)
D. (-1.-7) and (4,3
Answer:
A
Step-by-step explanation:
both equation is y so
2x - 5 = x² - 5
2x = x²
0 = x² - 2x
0 = x(x-2)
x = 0
x = 2
for x = 0
y = 2x - 5
y = 0 - 5
y = -5
(0,-5)
for x = 2
y = 2x - 5
y = 2(2) - 5
y = -1
(2,-1)
find KL round to nearest tenth
9514 1404 393
Answer:
KL ≈ 5.3
Step-by-step explanation:
JL/JM = tan(51°) ⇒ JL = JM×tan(51°)
KL/JL = cos(72°) ⇒ KL = JL×cos(72°) = JM×tan(51°)×cos(72°)
KL = 14·tan(51°)·cos(72°) ≈ 5.3
Plis help me thank you first one to reply gets brainless
1: 0.46
2:0.4
3: -0.6
4: -0.85
5: 3.34
6: -1.77
7: 34/99
8: 3.16
9: -9/10
10: -17/20
11: -19/5
12: 2.3
13: 4/13
14: 8 7/11
y=-6x+2
How many solutions does this linear system have?
O one solution: (0, 0)
Oone solution: (1, 4)
O no solution
Oinfinite number of Solutions
-12x– 2y =4
Answer:
The system has of the equation has no solution
Thus,
NO SOLUTION!
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}y=-6x+2\\ -12x-2y=4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+6x=2\\ -2y-12x=4\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}y+6x=2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+12x=4[/tex]
so
[tex]\begin{bmatrix}2y+12x=4\\ -2y-12x=4\end{bmatrix}[/tex]
adding both equations
[tex]-2y-12x=4[/tex]
[tex]+[/tex]
[tex]\underline{2y+12x=4}[/tex]
[tex]0=8[/tex]
so
[tex]\begin{bmatrix}2y+12x=4\\ 0=8\end{bmatrix}[/tex]
0 = 8 is false, therefore the system has of the equation has no solution
Thus,
NO SOLUTION!
Please also check the attached figure.
15 POINTS FOR THE BRIANLEIST! PLEASE SOLVE!!
Answer:
my question is also this thanks
Answer:
y = -y
Step-by-step explanation
So since we know that the answer of this question turns out to be a positive, and 5 is a negative number, that means y is negative. Heres my reason why:
( write this down on your essay)
Since a negative number and another negative number added becomes a positive, y would be a negative number.
Therefore, It is true that y is a negative number
2. Tablespoons and liters are some units used to measure volume. What are some
other units used to measure volume?
Answer:
gallons, teaspoon, quart, etc!
Step-by-step explanation:
You have 3/5gallon of juice and drink 1/3 gallons how much is left
Answer:
4/15 gallons of juice
Step-by-step explanation:
Total gallon you have = 3/5gallons
Amount consumed = 1/3 gallons
Amount left = Total gallons + Amount consumed
Amount left = 3/5-1/3
Find the LCM
amount left = (3)(3)-5(1)/15
Amount left = (9-5)/15
Amount left = 4/15
Hence 4/15 gallons of juice is left
HELP PLEASEEE ASAP WILL GIVE. BRAINLIST
Answer:
width = 2x + 1
Step-by-step explanation:
A = lw
A = 10x² + 5x = 5x(2x + 1) = lw ⇒ w = 2x + 1
help me with my math for brainiest:)
1.a-6=13
a-6+6=13+6
a=19
2. x+4=-14
x+4-4=-14-4
x= –18
3.-10.1=w+5.3
-10.1-5.3=w+5.5-5.3
w= -15.4
4.-9.3=d- 3.4
-9.3+3.4=d -3.4 +3.4
d=-9.3+3.4
d= -5.9
5.q+5/9=5/6
q+5/9-5/9=5/6-5/9
q=5/18
Answer the following problem and simplify the answet
33/10 x 4/11=
Answer:
33/10 × 4/11=6/5
3.3 ×0.3636363636=1.2
Answer:
Answer is 1.2
Step-by-step explanation:
33/10 x 4/11= 6/5
6/5 simplified is 1.2
Which statement describes the solutions of this equation?
I + 2
. 2 + = 1
OA.
The equation has two valid solutions and no extraneous solutions,
OB.
The equation has no valid solutions and two extraneous solutions.
O C.
The equation has one valid solution and no extraneous solutions.
OD.
The equation has one valid solution and one extraneous solution.
Step-by-step explanation:
x/(x + 2) + 1/x = 1
x² + (x + 2) = x(x + 2)
x² + x + 2 = x² + 2x
x = 2.
Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.
The answer is "The equation has 1 valid solution and no extraneous solutions." (C)
The true statement is (c) the equation has one valid solution and no extraneous solutions
The equation is given as:
[tex]\frac{x}{x + 2} + \frac 1x = 1[/tex]
Take LCM
[tex]\frac{x^2 + x + 2}{x(x + 2)} = 1[/tex]
Expand the numerator
[tex]\frac{x^2 + x + 2}{x^2 + 2x} = 1[/tex]
Cross multiply
[tex]x^2 + x + 2 = x^2 + 2x[/tex]
Subtract x^2 from both sides
[tex]x + 2 = 2x[/tex]
Collect like terms
[tex]2x -x = 2[/tex]
[tex]x = 2[/tex]
Hence, the equation has one valid solution and no extraneous solutions
Read more about solutions of equations at:
https://brainly.com/question/1397278
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
pls help I'm being timed
Answer:
It would cost $ 408.04 to travel 2727 miles
Divide total miles by miles per gallon:
2,727 / 27 = 101 gallons.
Multiply total gallons by price per gallon:
101 x 4.04 = $408.04 Round as needed.
-3/7+5/2 whats the answer
??
Answer:
29/14
Step-by-step explanation:
What is the solution to his system of linear equations? Y-x=6. Y+x=-10
Answer:
Hi
Step-by-step explanation:
What is the y-intercept of y = 1/7x - 10?
Answer:
-10
Step-by-step explanation:
the equation is in y=mx + b form so the b is the y-intercept so therefore it is -10
Write the equation in standard form.
y - 2 = -(x +4)
Answer:
x + y = - 2
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 2 = - (x + 4) ← distribute by - 1
y - 2 = - x - 4 ( add x to both sides )
x + y - 2 = - 4 ( add 2 to both sides )
x + y = - 2 ← in standard form
+ 2.6.3 Qulz Similar Triangles Question 10 of 10 With similar triangles, the ratios of all three pairs of corresponding sides are equal. O A. True O B. False
Answer:
A True
Step-by-step explanation:
tell me if I'm worng
True, The ratios of all three pairs of corresponding sides are equal.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Two triangles are Similar.
Now, By definition of similarity of the triangle, we get;
The ratios of all three pairs of corresponding sides are equal.
Thus, The given statement is true.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
What is the value of x in the equation -6 + x = -1? (5 points)
1) -5
2) -7
3) 7
4) 5
Answer:
x = 5
Step-by-step explanation:
This is a simple algebra equation, you can rewrite this equation to look like this x - 6 = -1. Add 6 on both sides to get your x-value which is 5.
Answer:
answer 4 is right, x = 5
Step-by-step explanation:
-6 + x = -1
i) move constants to the right-hand side and change its sign
x = -1 + 6
ii) calculate the sum
x = 5
Lily says that (2+i)" is a complex number for every positive integer value of n. Explain how you
know Lily is correct.
A cube has sides of length 5 cm.
Find the total surface area of the cube.
Please explain as well, as I struggle with surface area.
Answer:
150 cm^2
Step-by-step explanation:
Keep in mind that the dimensions of the cube are identical in 6 directions. This means that the surface area of the bottom is 5 cm by 5 cm, yielding the area 25 cm^2. The top has the same area, so considering top and bottom we get a total surface area of 50 cm^2.
Likewise, the total surface area of the sides together is 50 cm^2. The total surface area of the front and back together is 50 cm^2.
Thus, the total surface area of the entirre cube is 3(50 cm^2), or 150 cm^2