Answer:
[tex]m = -\frac{1}{2}[/tex]
[tex]y\ intercept = -1[/tex]
[tex]y = -\frac{1}{2}x -1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-2,0)[/tex]
[tex](x_2,y_2) = (0,-1)[/tex]
Required
Determine the slope and y intercept from graph
To calculate the slope, we have:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-1-0}{0 - (-2)}[/tex]
[tex]m = \frac{-1}{0 +2}[/tex]
[tex]m = -\frac{1}{2}[/tex]
The y intercept is when [tex]x = 0[/tex]
So,
[tex]y\ intercept = -1[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -\frac{1}{2}(x - (-2)) + 0[/tex]
[tex]y = -\frac{1}{2}(x - (-2))[/tex]
[tex]y = -\frac{1}{2}(x +2)[/tex]
[tex]y = -\frac{1}{2}x -\frac{1}{2}*2[/tex]
[tex]y = -\frac{1}{2}x -1[/tex]
See attachment for graph
Answer:
The graph shown is y = -1/2
x +-1 .
Step-by-step explanation:
did on edge
7996
Ben sat outside his school in Cambridge and made a note of the colour of
the first 100 cars that passed.
27 of the cars were red.
In Britain there are around 35 million cars on the road .
Use bens findings to give an estimate of how many cars on the road are red
Answer:
1,296,296 cars are red.
determine the value of x if the measure of the sixth exterior angle of a hexagon is given by -6(3/16x-14)+3
Answer:
24°
Step-by-step explanation:
Assume the hexagon is regular.
b - 1/8= 3 1/2
what’s b equal
Leslie’s employer will match up to 3% of her salary in contributions to her 401(k). Her monthly salary is $3,200, and the company allows her to make contributions to a maximum of 10% of her salary. What is the maximum monthly deposit to Leslie’s 401(k), including her employer’s matching contribution?
Answer:
$416.00
Step-by-step explanation:
Leslie's 10% and her employer's 3% total 13% of her salary:
0.13 · $3200 = $416
The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
What is a matching contribution?A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.
Data and Calculations:Monthly salary = $3,200
Leslie's maximum contribution = 10% of salary
Employer's matching contribution = 3% of salary
Total contributions to the 401(k) plan = 13% of salary
= $416 ($3,200 x 13%)
Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
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Iuhi(in 6uguyguygugjhguygiygi6ihb
Answer:
gt676t6
Step-by-step explanation:
Answer:
yuhijokfdvbr9878r9t
Step-by-step explanation:
jy
A person riding in an elevator travels 180 feet in 30 seconds. What equation
represents this relationship? How many feet will the person travel in 10
seconds?
O A. y = 6x; 60 feet
O B. y = 6x; 6 feet
C. y = 82; 80 feet
O d. y= ; 17 feet
SUBMIT
PLEASE HELP!!!
Answer:
I believe its A
whati is a quotient of (-1) (2) (-3) (4) and (-5) divided by 6?
Answer:
You should get -20
Step-by-step explanation:
;)
10x-3Y=-150
how do you solve and graph?
Solve the inequality.
9p ≥ −72
Answer:
yes
Step-by-step explanation:
because of math,
Step-by-step explanation:
[tex] p\geqslant - 8[/tex]
The area of a sign in the shape of a square is 219 square inches. Which measurement is closest to the side length of
this sign in inches?
55 in.
B
15 in.
7 in.
D 110 in.
Answer:
A
Step-by-step explanation:
The area of a square is given as the side² thus the side length of the given square will be around 15 inches thus option (B) will be correct.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Length of diagonal of square = √(2) × side
It is known that,
Area of square = Side²
Given, the area is 219 square inches.
Side² = 219
Side = √219 = 14.79 ≈ 15 in.
Hence "The area of a square is given as the side² thus the side length of the given square will be around 15 inches".
For more about a square,
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△RST is shown below. XU = –2y + 15 and XW = 3y + 5.
PLEASE HELP ME
The required measure of the radius inscribed in the triangle RST is 11.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2
Now,
Radius = XU
= -2(2) + 15
= 11
Thus, the required measure of the radius inscribed in the triangle RST is 11.
Learn more about triangles here:
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I need to find what's in those four boxes
Answer:
-500 + 200, -300
|0 - 200|, +200
Step-by-step explanation:
William fills 1/3 of a water bottle in 1/9 of a minute. How much time will it take him to fill the bottle
Answer:
3/9 = 1/3 of a minute or 20 seconds
Step-by-step explanation:
Answer:
1/3 of a minute
Step-by-step explanation:
1/3 x 3 = 1 bottle
1/9 x 3 = the time
1/9 x 3 = 3/9 or 1/3
Need help asap
Will mark you brainlist
Solve for x.
3(-2x - 1) = 2(x + 5)
Answer:
x= − 8 /13 = −1 8 /5 = −1.625
Step-by-step explanation:
either one is the answer
<3 Enjoy,
Dea
Answer:
x=-1.625 Decimal form
x= -13/8 Fraction form
Step-by-step explanation:
3(-2x-1)=2(x+5)
Use distributive property to solve-
-6x-3=2x+10
Now add like terms
-6x-3=2x+10
+3 +3
-6x=2x+13 (get the x by itself)
-2x -2x
-8x=13 Divide
x= -1.625 Decimal form
x=-13/8 Fraction form
A manufacturer of pickup trucks is required to recall all the trucks manufactured in a given year for the repair of possible defects in the steering column and defects in the brake linings. Dealers have been notified that 3% of the trucks have defective steering, and that 5% of the trucks have defective brake linings. If 94% of the trucks have neither defect, what percentage of the trucks have both defects
Answer: 2%
Step-by-step explanation:
Let A be the event of having defective steering and B be the vent of having defective brake linings.
Given: P(A) = 0.03 P(B) = 0.05
P(neither A nor B ) = 0.94
Using formula: P(either A nor B) = 1- P(neither A nor B )
= 1-0.94
i.e. P(either A nor B) =0.06
Using formula:P(A and B) = P(A)+P(B)-P(either A or B)
P(A and B) =0.03+0.05-0.06
= 0.02
Hence, the percentage of the trucks have both defects = 2%
A Traveler arrived at his final destination on February 11, 2021 at 2:30pm. The traveler departed 72 hours earlier traveling East from a time zone that is eight hours behind tha arrival time zone
On what day and at what time did the traveller depart?
9514 1404 393
Answer:
Feb 8, 2021, at 6:30 am
Step-by-step explanation:
The time of arrival, as seen from the point of departure, is 8 hours earlier than 2:30 pm, so is 14:30 -8:00 = 6:30 (am), on Feb 11. Three days (72 hours) before that time is ...
6:30 am on Feb 8, 2021
At the grocery store,
Ben purchased $7.50
worth of groceries and
a 44 cent stamp If he
paid with two $5 bills,
how much change
should he receive?
Answer:
$2.06
Step-by-step explanation:
add 7.05 and 44 cents. he used 2 5 dollar bills, which is 10 dollars. 10-7.94 is 2.06.
Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?
Answer:
364
Step-by-step explanation:
265.72 ÷ 0.73 is 364
Check:
364 x 0.73
265.72
30% of 50. Find the percentage of the number.
Answer:
15
hope it's helpful ❤❤❤❤
THANK YOU.
Answer:
15
Step-by-step explanation:
30%x50÷100=15
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation:
A regular number cube is rolled. What is the probability that an odd number will not be rolled?
1/2,1/3,5/6,2/3,
Answer:
1/2
Step-by-step explanation:
A regular die has 3 odd numbers (1, 3, and 5) and 3 even numbers (2, 4, and 6). The question asks for the probability that an odd number will not be rolled. This is the same as asking the probability of an even number being rolled. Since we have 6 numbers in our data set and 3 are even, we can deduce that 1/2 of them are even and the probability of an even number being rolled is 1/2.
HTH :)
Answer:
the answer is 5/6
Step-by-step explanation:
A toy train set includes a train station building which is a scale model of a real building. The area of
the front side of the toy building is 1 square foot. The real building's front side has an area of 400
square feet. If we view the real building as a dilation of the toy, what is the scale factor?
Your answer
Answer:
[tex]20[/tex]
Step-by-step explanation:
The area of the front side of the toy model is [tex]1\ \text{ft}^2[/tex]
The area of the real building's front side is [tex]400\ \text{ft}^2[/tex]
So
[tex]1\ \text{ft}^2[/tex] of the toy model is equivalent to [tex]400\ \text{ft}^2[/tex] of the real building.
Area scale factor is given by [tex]k^2[/tex], where [tex]k[/tex] is the scale factor of the sides.
So,
[tex]\dfrac{400}{1}=k^2\\\Rightarrow k=\sqrt{400}\\\Rightarrow k=20[/tex]
Hence, the scale factor is [tex]20[/tex].
The scale factor should be 20.
Important information:The area of the front side of the toy building is 1 square foot. The real building's front side has an area of 400 square feet.
Calculation of the scale factor:Since 1 square foot should be equal to 400 square feet
So,
[tex]400\div 1 = k^2[/tex]
[tex]K = \sqrt{400}[/tex]
k = 20
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Tripp decided to go on vacation to the beach. After driving 60% of the way, he decided to stop for lunch. If he stopped for lunch after 240 miles of driving, how many total miles will he have to drive? Explain and/or show equation.
Answer:
40=10% im rightthe total is 400
Step-by-step explanation:
Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto
Answer: x boletos de adulto
2x boletos de estudiante
x+2x=288
3x=288
x=288/3
x=96
adulto =96
estudiante 2*96=192
96+192=288
Step-by-step explanation: 96 y 192
Plz help I’m really confused
Answer: i think its 134
Step-by-step explanation:
Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?
Step-by-step explanation:
Difference of Squares: a² - b² = (a + b)(a - b)
(x² - 16) / (x - 4)
= [(x + 4)(x - 4)] / (x - 4)
= x + 4, where x =/= 4.
Answer:
1. (x+4)
2. 4
Step-by-step explanation:
got right on edge
Kiran says that -2<-5. Do you agree with Kiran? Explain or show your reasoning.
Answer:
No I do not agree. -2 is closer to 0 than -5
Step-by-step explanation:
-5 -----------> -2---------> 0
a chicken eats 0.114 kg of grains per day. how much grain does the chicken eat in 31 days
Answer:
3.534kg
Step-by-step explanation:
0.114 × 31 = 3.534 kg
hope this helps...
The total number of seashells a divided by 10
Answer:
Please give more info
Step-by-step explanation:
Answer:
5
Step-by-step explanation: