What is the equation of the line that is parallel to the line y = 3x - 4 and passes
through the point (4, -2)?
A. Y= 3x + 2
B. y= 3x - 14
O C. --}x
D. y = 3x + 14
Answers
Answer:
B. y = 3x - 14
Step-by-step explanation:
Since the line is parallel, your slope will be 3. You're given a point, so you can use point-slope form to find the equation. Point-slope form is:
y - y1 = m(x - x1) where (x1, y1) is the point that they gave you and m is the slope. So:
y - (-2) = 3(x - 4) --> Start to simplify this by changing - (-2) to +2 and distributing the 3 to (x - 4).
y + 2 = 3x - 12 --> Subtract 2 from both sides.
y = 3x - 14
Related Questions
Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000. Assuming that the machine's resale value decreases exponentially, what will it be (in dollars) 4 years from now? (Round your answer to the nearest dollar.)
Answers
Answer:
260,000
Step-by-step explanation:
The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000
So, the value should be 260,000 (500000-240000)
Or
year 1 500000-40000=460000
year 2 460000-40000=420000
year 3 420000-40000=380000
year 4 380000-40000=340000
year 5 340000-40000=300000
year 6 300000-40000=260000
The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049
What is the future value amount?
We are told that the machines present resale value is $420000. Now formula for future value is;
Future value = present value * exp(cx)
Thus;
$420,000 = $500,000 * exp(2c)
420000/500000 = exp(4c)
2c = In(420000/500000)
c = -0.087
Future value = present value * exp(cx)
Future value = $500,000 * exp(-0.087 * 4)
Future value = $353,049
Therefore, the machine's resale value in 4 years from now will be $353,049
Read more about future value amount at; https://brainly.com/question/13961729
A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats.
Let a = the total number of animals.
Let c = the number of cats.
Complete the table to show the number of cats, c, that are taken in by the pet rescue when a animals are taken in.
Answers
Answer:
1st answer =10
2nd answer=4
3rd answer=12
4th answer=8
What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
O 165 yd 2
41.25 yd 2
O 330 yd 2
O 82.5 yd 2
Please asap
Answers
Answer:
The shape is a triangle, not a quadrilateral.
Step-by-step explanation:
A= hbb/2 = 11·15/2 = 82.5
The area of the triangle is 82.5 yd².
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?modal=1
Answers
???? Do we go to that website to answer the question? I’m lost
Rick wants to buy a tool set with original price $115. Next week the tool set will be on sale for 40% off. Find the sale price.
$
Answers
Answer:
$69
Step-by-step explanation:
$115 x 0.4 = $46 discount
$115 - 46 = $69
Answer:
$69
Step-by-step explanation:
115/100=1.15
1.15(40)=46
115-46=69
Hope this helps
i need help now, The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Answers
Answer:
The I is 12.
Step-by-step explanation:
You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY
Answer:
36
Step-by-step explanation:
(figure out length of triangle)24-12=12
(find full length of base which is equal to L of rectangle)24+12=36
please help anyone PLSSSSS with my questions anyone can help me and plsss no links and pls with whole procedure pls
Answers
Answer:
In my sketch the angle between their flights is 135°
So wouldn't we just have the cosine law??
x^2 = 120^2 + 150^2 - 2(120)(150)cos135°
carry on, take care with the cos135, since it will be negative
CAN SOMEONE PLEASE HELP ME?
The three sides of a triangle are n, 3n+2, and 2n+10. If the perimeter of the triangle is 48m, what is the length of each side?
Answers
Answer:
the sides are 6, 20, and 22
Step-by-step explanation:
n + 3n + 2 + 2n + 10 = 48
combine like terms:
6n + 12 = 48
subtract 12 from each side of th equation:
6n = 36
divide both sides by 6:
n = 6
the sides are 6, 20, and 22
differentiate with respect to x:y= sinh^-1(x^2+1)
Answers
Answer:
The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].
Step-by-step explanation:
We proceed to find the first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] by explicit differentiation and rule of chain:
[tex]y = \sinh^{-1} (x^{2}+1)[/tex]
[tex]y' = \frac{2\cdot x}{\sqrt{(x^{2}+1)^{2}+1}}[/tex]
[tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex]
The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].
please help A video game box is shaped like a rectangular prism with the following dimensions Length = 20 in • Width = 8.25 in. • Height = 4.5 in. What is the volume of the box in cubic inches?
Answers
Answer:
V= 742.4 in³
Step-by-step explanation:
V= L x W x H = (20)(8.25)(4.5) = 742.4 in³
Please i need help for all of them!!
Answers
Answer:
1) x=65
2) x= 70
3) x= 40
4) x= 131
5) x= 75
6) x= 49
7) x= -12
8) x= 42
15. Which graph shows - 3x + y = 8
first question
Answers
Answer:
Im sorry but i can't read it
Step-by-step explanation:
Colin slices a cake into 8 equal-sized slices. He and his friends eat 5 slices of the cake.
What fractional part of the cake do Colin and his friends eat?
Answers
Answer:
5/8
Step-by-step explanation:
there are 8 slices.
if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.
in maths, we write 5 out of 8 like 5/8
hope this helped, any questions - just ask
good luck,
-cheesetoasty
I need help with this question what do I but in the blank for the last number
Answers
Answer:
13 cm
Step-by-step explanation:
use pythagorean theorem
Solve the quadratic equation by using either a numeric or a graphic approach. x^2-14x-49=0
A. X= -11.1 or x=-12
B. X=12.3 or x=-10.82
C. X=16.9 or x=-2.9
D.X=1 or x=-3
Answers
Answer:
The answer to this question is A
Step-by-step explanation:
Plz help me ASAP no bots plz
Answers
Answer:
...
Step-by-step explanation:
the vertex is (-1 , 0)
false
true
the domain is R (all real numbers) ( -♾, +♾ )
the range is negative infinity -♾
4. Samara's monthly taxable income was $3276.54. If she paid $757.24 in taxes, what
percentage of her taxable income did she pay?
Answers
Answer:
23.1%
Step-by-step explanation:
Given data
monthly taxable income was $3276.54
Tax= $757.24
Percentage of tax paid= tax paid/monthly income* 100
Percentage of tax paid=757.24/3276.54* 100
Percentage of tax paid=0.231* 100
Percentage of tax paid=23.1%
ANSWER AND STEPS PLEASE
A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.
Which measurement is closest to the volume of the container in cubic feet?
Answer choices:
A. 15,307.55 ft3
B. 1,275.63 ft3
C. 5,102.52 ft3
D. 3,826.89 ft3
Answers
Answer:
answer is b.
Step-by-step explanation: use formula
V=1/3(hπr²)
so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3
3. Figure ABCD Shown below is
made up of a semlore and a
rectangle. O is the contre of the
line DC
(Use
- )
10 cm
Calculate the area of
anglo AOB
Answers
Answer:
In a rectangle ABCD of 3 mx 4 m, starting from A and D, along the sides AB and DC after every 30 cm, a square shape of 10 cm is taken out as shown below. What will be the perimeter (in cm)
Step-by-step explanation:
12 CM And 300 CM is the answer
During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?
Answers
9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
For the following right triangle, find the side length x. Round your answer to the nearest hundredth
12
9
Answers
Answer:
7.94
Step-by-step explanation:
[tex]a^{2} + 9^{2} =12^{2} \\a^{2} +81 = 144\\a^{2} = 63\\a = \sqrt{63} \\a= 7.93725[/tex]
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slas
mark ( / ) for the fraction bar.
(-4,3) (-4,-3)
Answers
What is 0.73 as a percent?
Answers
Answer:
73%
Step-by-step explanation:
Answer:
73 percent
Step-by-step explanation:
Its because 1.00 would be 100 percent and .50 would be 50 percent so .73 would be 73 percent
Find the area of the figure shown below and choose the appropriate results
A 60 cm
B 66 cm
C 72 cm
D 96 cm
Answers
Answer:
sorry if im rong but im prety sure its d
Step-by-step explanation:
Answer:
Step-by-step explanation:
d
plz help solve,
velocity units are ft/min
Answers
Answer:
t = 11 min
and
t = 18 min
Step-by-step explanation:
When we have unidimensional motion, the sign of the velocity defines the direction.
So we could say that a positive velocity like:
v = 4ft/min
Means that you are moving to the right with a speed of 4 feet per minute.
And a negative velocity like:
v = -3 ft/min
means that you are moving to the left with a speed of 3 feet per minute.
Then the bug changes direction when the velocity changes of sign.
In the graph, we can see that the velocity changes of sing in two points, these points are:
t = 11 min
and
t = 18 min
The local grocery store is having a sale on watermelons. Mr. Jackson purchases 10 watermelons for a school picnic. He pays $39.90 for the watermelons. What is the price of each watermelon?
Answers
Answer:
$3.99 per watermelon
Step-by-step explanation:
$39.90 total paid divided by 10 watermelons is $3.99
Which of the following values of f are solutions to the inequality below?
Select all that apply.
Answers
Answer:
-4 is your answer
Step-by-step explanation:
hasann please help me
Answers
Answer:
The length and width and height is already given.
Length is: 3 1/2
Width is: 1 1/2
Height is: 2 1/2
The volume of this would be all given lengths multiplied.
Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3
When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?
Answers
someone please help me answer this!!
Answers
Answer:
-5 63/100
Step-by-step explanation:
