Answer:
The equation is y = 3x - 1
Step by Step Explanation:
Ok, so your first step in solving this would be substituting m in the equation with the slope, since m represents the slope. So then you would have y = 3x + b. Now, to find b, you would have to substitue the point (1,2) into the equation. You would replace 2 with y since that's the y coordinate, and 1 with x since that's the x coordinate. Then you have 2 = (3*1) + b. Now, you solve for this. You get 2 = 3 + b. Isolating the variable b, you have b = -1. So, the result is y = 3x - 1. That's your answer
What is 900000+18765439??
Answer:
Step-by-step explanation:
900000
+18765439
=27765439
Answer is 27765439
what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)
Answer:
The equation of the line that is perpendicular to y = 2x + 2 is
y = -1/2x
Step-by-step explanation:
The original equation is y = 2x + 2; it's slope is 2
Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.
Example:
y = 2x + 2 so,
the perpendicular line's slope must be -1/2
Write a new equation with the new slope:
y = -1/2x + b
We know that this line passes through (8, -4)
Plug these coordinates in the equation to find b, the y-intercept
-4 = -1/2 (8) + b
-4 = -4 + b
0 = b
b = 0
We do not have to write y = -1/2x + 0
So, our final answer is "y = -1/2x is perpendicular to y = 2x+2"
Which ordered pair is a solution of the equation?
5x−2y=18
Answer:
Step-by-step explanation:
5x−2y=18
5(0)−2y=18
-2y=18
y=-9
5x−2(0)=18
5x+0=18
5x=18
x=18/5
PLEASE HELP W MATHHHH
Answer:
(15m^2 + 5)
Step-by-step explanation:
(m2 - 3m + 19 ) + (2m2 + m) + (4m2 - 7) + (2m2 + m) + (4m2 - 7) + (2m2 + m)
15m2 + 0m + 5
=> 15m^2 + 5
Answer:
try adding all the sides up
Step-by-step explanation:
Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:
1. The amount of plant food remaining in the container after each days study.
2. The height of the plant over time.
Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question
Determine the domain and the range for this relationship.
0≤y ≤6
0 ≤x ≤72
{0, 12, 24, 36, 48, 60, 72}
0 ≤x ≤6
{0,1,2,3,4,5,6}
{0,6,12,18,24,30}
0 ≤y ≤72
Answer:
Domain: [tex]0\leq x\leq 6[/tex]
Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]
Step-by-step explanation:
Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.
[tex]x[/tex] be the number of days that have passed.
Total amount of plant food used is 72 mm.
Number of days the experiment goes on is 6 days.
Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].
So, the function will be
[tex]y=f(x)=72-12x[/tex]
at
[tex]x=0,y=72[/tex]
[tex]x=1,y=72-12\times 1=60[/tex]
[tex]x=2,y=72-12\times 2=48[/tex]
[tex]x=3,72-12\times 3=36[/tex]
[tex]x=4,72-12\times 4=24[/tex]
[tex]x=5,72-12\times 5=12[/tex]
[tex]x=6,72-12\times 6=0[/tex]
Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].
Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].
(-1)(-11) please solve!!
Answer:
A positive 11
Step-by-step explanation:
11 is your answer
What is the best estimate of the measure of the angle shown?
*answer was incorrect please see below*
P(-2, -3) and Q(2, 7)
Answer:
The slope is 10/4
Step-by-step explanation:
Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?
Answer:x = 0.028571 cm3
Step-by-step explanation:
I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?
So, let x be the volume in cubit centimeters.
the mass is to the volume is as the mass is to the volume
3.5g /(1 cm3) = 0,1g / (x cm3)
Cross-multiply to get:
3.5x = 0.1
x = 0.1 / 3.5 (divide both sides by 3.5)
x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !)
If the sinø=7/12, what is cosø?
Answer:
If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Step-by-step explanation:
We are given sinФ = 7/12
We need to find cosФ
The basic trigonometric functions of right triangle are:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
We need values of adjacent and hypotenuse to find cosФ
Using Pythagoras theorem we can find the value of adjacent
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]
We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]
Inserting values and finding adjacent:
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]
So, value of Adjacent is [tex]\sqrt{95}[/tex]
Now finding cosФ
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12
[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]
So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
pleaseee help me answer this
A manufacturer has invested $120,000 in a new product and wants to set a price to earn a $80,000 profit. The variable cost per unit is $20 and the company sells the units at $100.
Answer: 500
Step-by-step explanation:
The remainder of the question is:
How many units does the company need to sell to reach the target profit?
The required sales to break even will be calculated as:
= (Fixed cost + Required profit) / ( Price per unit - Variable cost)
= (120000 - 80000) / (100 - 20)
= 40000/80
= 500
The company needs to sell 500 units.
HELP PLEASE Can you please give an explication when you answer
The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C
Answer:
C. 6°C
Step-by-step explanation:
-3°C + 9°C = 6°C
Help me ASAP for this question.
Answer:
<6 and <8
<1 and <7
Step-by-step explanation:
Supplementary are angles that add up to 180 degrees. (A straight line)
These ordered pairs represent a function:(0,2), (1,-1), (2,-4), (3,-7). Write a function rule (equation) to represent this function.
Answer choices
a.y=-3x+2
b.y=x+2
c.y=3x-7
d.y=3x+2
Answer:
A
Step-by-step explanation:
I included the steps in the picture I attached. lmk if you need me to explain more
5. How many solutions does the equation
7x + 3x – 8= 2(5x – 4) have? Explain.
Answer:
Your answer is: Infinitely Many
Any value of x makes the equation true. Also, they are all real numbers.
Step-by-step explanation:
If you are solving to find all Complex Number Solutions: ↓
Solve the equation to find all of the complex solutions and that means that equation will be always true.
Hope this helped : )
You are deciding whether to buy a car for $ or to accept a lease agreement. The lease entails a $ fee plus monthly payments of $ for months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $. Complete parts a through c below.
Answer:
a. The correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. The correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. The correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore given as follows:
You are deciding whether to buy a car for $21,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $250 for 48 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Complete parts a through c below.
a. Should the cost of service and insurance determine which option you choose?
A. Yes, because you probably don't have to pay for services when you buy the car.
B. No, because it is cheaper to lease the car than to buy it.
C. No, because you will probably have to pay for service and insurance with either plan.
D. Yes, because you get a discount on your insurance when you lease the car.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
A.Yes, the total cost of the car at the end of the lease is $___ (fill in the blank)
B. No, the total cost of the car at the end of the lease is $___(fill in the blank)
c. What are some possible advantages of leasing the car?
A. You can sell the car whenever you want and you can make money on the car when you sell it.
B. The insurance costs less and you get a service discount.
C. You can give the car back whenever you want and you can get a new car whenever you want.
D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
The explanation of the answer is now provided as follows:
a. Should the cost of service and insurance determine which option you choose?
No matter the option, wither buy or lease, that is chosen, the car will still have to be serviced and the insurance cost will have to be paid for. Therefore, the cost of service and insurance should not determine which option to choose.
Therefore, the correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
From part a above, it is stated that the cost of service and insurance should not determine which option to choose. Therefore, the cost of service and insurance should not be included in calculating the total cost of purchasing the car at the end of the lease agreement.
This implies the only relevant costs to use in calculating the total cost of purchasing the car at the end of the lease agreement are the $800 monthly fee and the $9,000 cost of purchase at the end of the lease.
Therefore, the total cost of purchasing the car at the end of the lease agreement can be calculated as follows:
Total lease cost = (Monthly fee * Number of months) + Cost of Purchase = ($800 * 48) + $9,000 = $38,400 + $9,000 = $47,400
Therefore, the correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. What are some possible advantages of leasing the car?
Under a lease agreement, there is no need to pay all the money required to buy an item at once. The leasing of an item also enables one to examine the item in details to decide whether to buy it or not at the end of the lease agreement.
Based on the explanation above, the correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
g(x)=17-2/3x;g(6)
please help me i only have 5 mins left
Answer:
13
Step-by-step explanation:
17 - 2/3(6)
17 - 4
13
sub in 6 for x to find g(6) instead of g(x)
Need help If correct will give brainiest
In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily replies, "Ah, but in 22 years time I shall only be twice her age." How old are the uncle and the woman?
Answer:
her 22 him 66
22 years later her 44 and him88
Step-by-step explanation:
she hase to be 18 or older, but 22 works
so 22 x 3 = 66 he is 3 x older
him 66 +22=88 ,her 22+22= 44 x2 =88
At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch
Answer:
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t
Step-by-step explanation:
The given parameters are;
The initial velocity of the rocket, v = 138 feet per second
The vertical motion formula = h(t) = 0.5·a·t² + v·t + s
The gravitational constant, a = -32 ft./s²
s = The initial height of the rocket
Therefore, he have;
The height of the rocket, t seconds seconds into launch is given as follows;
Height = h = h(t) - s = 0.5·a·t² + v·t
Substituting the known values gives;
h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t
h = -16·t² + 138·t
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.
Which equation represents the line that passes through points B and C on the graph?
A. Y=2x-6
B. Y=2x+10
C. Y=2x-6
D. Y=2x+10
Find the missing term ___,48,12,3
Answer:
192
Step-by-step explanation:
It’s the answer
Help me solve these please
Vote you brainiest please help me
Answer:whole
Step-by-step explanation:
a whole number and a fraction make a mixed number.
1.Find the area of a trapezium with parallel sides of
length 15 cm & 7 cm. The perpendicular distance
between the parallel sides is 6.8 cm.
Answer:
The area of the trapezium is [tex]74.8\ cm^2[/tex]
Step-by-step explanation:
Area of a trapezium:
[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]
This formula is valid if b1 and b2 are parallel and h is perpendicular to both.
Since the trapezium given in the problem satisfies those conditions, we use the formula with:
b1=15 cm
b2=7 cm
h=6.8 cm
[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]
[tex]A=74.8\ cm^2[/tex]
The area of the trapezium is [tex]74.8\ cm^2[/tex]
It will really help if you answer atleast 2 of them
2. 8 x 43 = 344
8 x 43 = 8 (40 + 3)
8 x 43 = 320 + 24
3. 6 x 532 = 3192
6 x 532 = 6 (500 + 30 + 2)
6 x 532 = 3000 + 180 + 12
4. 5 x 923 = 4615
5 x 923 = 5 (900 + 20 + 3)
5 x 923 = 4500 + 100 + 15
I hope this helps :)
NEED HELP ASAP
A rectangle is labeled truck. A vector that goes down and to the right is labeled 7,500 pounds and the terminal point is labeled tow truck 2. A vector that goes up and to the right is labeled 10,000 pounds and the terminal point is labeled tow truck 1. The angle between the vectors is 110 degrees. The angle between tow truck 2 and the x-axis is 60 degrees.
A pair of tow trucks are pulling on a trailer that is stuck in mud. The first truck pulls with a force of 10,000 pounds at a 110° angle from the second truck, which is pulling with a force of 7,500 pounds. What is the magnitude of the resultant force?
9,821 pounds
10,244 pounds
14,405 pounds
24,226 pounds
Answer:
10,244 pounds
Step-by-step explanation:
|R|= √(7,500+10,000cos110)²+(10,000sin110)²
|R|= about 10,244 pounds
thats how i did it :I
Answer:
B
Step-by-step explanation:
Edge 2021
Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
Answer:
$10 each
Step-by-step explanation:
There are four friends
Friend 1 = $15
Friend 2 = $20
Friend 3 = $40
Friend 4 = unknown
NOTE;
You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend
The four friends decide to split their earnings equally among themselves
how much will the friend who earned $40 give to the others?
Amount given to others = $40 / 4
= $10
The friend who earned $40 will give $10 each to the others
what is the restriction in the determining if the given equation is a polynomial?
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
Solve for y.
14-y= b
The value of y in the expression 14 - y = b is y = 14 + b.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.
Therefore,
14 - y = b.
- y = b - 14.
- ( - y) = - (b - 14).
y = 14 + b.
learn more about numerical expressions here :
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