Answers
Answer:
6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x
Step-by-step explanation:
For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.
(there's an error in this question)
As for question 6,
a) with coordinate (x,y) = (-2,7)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(-2,7) ➡️ (x2,y2) then,
m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -7/2 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −7/2 (x-0)
If we simplify this, we simply get
y = −7/2 x ← This is our equation for coordinate (-2,7)
b) with coordinate (x,y) = (2,-1)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -1/2 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −1/2 (x-0)
If we simplify this, we simply get
y = −1/2 x ← This is our equation for coordinate (2,-1)
c) with coordinate (x,y) = (4,-5)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -5/4 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −5/4 (x-0)
If we simplify this, we simply get
y = −5/4 x ← This is our equation for coordinate (4,-5)
d) with coordinate (x,y) = (10,-17)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -17/10 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −17/10 (x-0)
If we simplify this, we simply get
y = −17/10 x ← This is our equation for coordinate (10,-17)
Related Questions
A photographer charges $200 to take photos of a group of up to 6 people, and an extra $25 per additional person if there are more than 6 people. The function f(n) , the total cost in dollars, depends on n , the number of people in the group. Assuming that there are at least 6 people in the group, which function correctly represents this situation?
A
f(n)=200(n−6)+25
B
f(n)=25n+200
C
f(n)=25(n−6)+200
D
f(n)=200n+25
Answers
Answer:
C
Step-by-step explanation:
Function that represents the situation correctly is f(n)=25(n−6)+200.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, a photographer charges $200 to take photos of a group of up to 6 people, and an extra $25 per additional person if there are more than 6 people.
Let n= 6 means group of 6 people.
So substituting the value n= 6;
In the option A, f(6) = 25
In the option B , f(6) = 350
In the option C , f(6) = 200
In the option D , f(6) = 1225
Here, only option C matches with the given photographer's charges for 6 people.
Therefore, function that represents the situation correctly is f(n)=25(n−6)+200.
To learn more about the function;
brainly.com/question/28303908
#SPJ2
Michelle and matthew bake carrot cake at their bakery. For every 9 cups of shredded carrots they use, they use 6 cups of sugar. How many cups of shredded carrots will they use if they use 14 cups of sugar?
Answers
Answer: 21 cups of shredded carrots.
Step-by-step explanation:
For every 9 cups of shredded carrots they use, they use 6 cups of sugar.
To use one cup of sugar therefore, the number of cups of shredded carrot is:
= 9/6
= 1.5 cups of shredded carrot
For every 1.5 cups of shredded carrot, a cup of sugar is used.
If they were to use 14 cups of sugar, they would therefore use:
= 14 * 1.5 cups of carrot
= 21 cups of shredded carrot
Find the missing angles in the diagram below (pls help no links)
Answers
Step-by-step explanation:
here you have the answers
Translate the sentence into an equation.
Four times the sum of a number and 3 is equal to 6.
Answers
Hope that helped :)
Answer:
0.50x4x3
Step-by-step explanation:
0.6x = 31.2 ( it's multiplication)
Answers
Explanation you would divide both sides by 0.6 which leaves the x and by dividing 31.2 divided by 0.6 it gives you 52
what operation do you use to find the power of bases
please answer quick
Answers
0.23 is a whole number?
Answers
Answer:
0.23 is a fraction and there is no way to represent it as a whole number.
hope it helps :)
Step-by-step explanation:
please please please helpppp
Answers
Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as:the sum of the two up faces are recorded. Describe the random variable, X, in this event.Writethe sample space of this event. Calculatethe probability of rolling a 4, and probability of rolling a 12.
Answers
Answer:
1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
3. The probability of getting a 4 = 1/12
4. The probability of getting a 12 = 1/36
Step-by-step explanation:
There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .
The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]
The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
that is it has all the possible outcomes of both the dice.
The probability of getting a 4= Number of fav outcome/ no of possible outcomes= 3/ 36= 1/12
The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36
Here is an inequality:
3x + 2
12
Select all of the values that are a solution to the inequality.
= -1
2= -3
x=0
C = -2
1
2= 2
2 = 3
Answers
use the graph f(x)=-x²+8x+20 to determine the values of: p for which -x²+8x+p=0 will have equal roots
Answers
According to the discriminant of the quadratic equation, it will have equal roots for p = -16.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has equal roots.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.In this problem, the equation is:
[tex]f(x) = -x^2 + 8x + p[/tex]
Hence the coefficients are a = -1, b = 8, c = p.
It has equal roots if [tex]\Delta = 0[/tex], hence:
[tex]b^2 - 4ac = 0[/tex]
[tex]8^2 + 4p = 0[/tex]
[tex]4p = -64[/tex]
[tex]p = -16[/tex]
More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811
use mathematical induction to prove the statement is true for all positive integers n. 6 + 12 + 18 + ... + 6n = 3n(n + 1)
Answers
Answer:
Step-by-step explanation:
6+12+18+....6n=3n(n+1)
Proof by induction
True for n = 1
6 = 3(1)(1+1)
Assume true for n = k
6+12+18+....6k=3k(k+1)
Then show that
6+12+18+....6(k+1)= 3(k+1)(k+1+1)
We add 6(k+1) to both sides of
6+12+18+....6k=3k(k+1)
6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)
= 3(k+1)(k + 2)
= 3(k+1)(k+1+1)
So true for n = k+1
Since true for n=1 it is true for n=2,3,...
Thus true for all natural numbers n by mathematical induction
16 Apples cost $1.35 per kilogram
Work out the cost of 16 kilograms of apples
Answers
Therefore your answer will be $21.60
What is the measure of the missing angle?
Answers
Answer:
25°
Step-by-step explanation:
These types of figures have 3 angles, which add up to 180°. If you found the 2 angles already, you can find the last one by adding both angles together and using 180° to deduct it with the total degree of thd 2 angles.
127 + 28 = 155
180 - 155 = 25
Which one is the even number:
116,318,162,230,180,155
Answers
Answer:
they are all even numbers except for 155
Step-by-step explanation:
This list shows the average annual rainfall, in inches, recorded by a weather station over a period of twelve years.
18, 2, 26, 1, 13, 4, 11, 12, 14, 9, 1, 4
Which box plot best represents the set of data?
Answers
Answer:
i thin C could be wrong
Step-by-step explanation:
Answer:
It’s a
Step-by-step explanation:
Select three angle measures that can represent the three angles of a triangle. Write the measures in Box A. 100 80 30 90 70 10
Answers
Answer:
some examples:
80, 30, 70
80, 10, 90
100, 70, 10
Step-by-step explanation:
angle measures must add to 180 degrees
ANSWER ASAP I WILL MAKE YOU BRAINLIEST 10 POINTS AND ALSO HEART AND 5 STARS RATE grade 11 math
please answer section a
Only answer section a I did section b myself so PLEASE answer section a with some explanation
(I'm sorry if I sound mean; If you don't give me an answer you will not get brainliest or heart or stars for example if you type the answer as '......'
Answers
Answer:
Values
1) a = 1, b = 3, c = -1
2) a = 2, b = -3, c = 6
3) a = 8 b = 1, c = -7
Step-by-step explanation:
To get the values, you need to write each equation in the format of ax²+bx+c=0, therefore you can find out each of the values easily. However for the third box, you aren't give the 'b' value in the equation, so you would have to assume that this is '1'.
To get the 'Answer', just simply input each of these values into the quadratic formula using a calculator.
The Quadratic formula:
[tex]x=\frac{ -b +- \sqrt{^{b} -4ac} \\}{2a}[/tex]
Use this and input all of the values required in each place, then simplify down if you don't have a calculator to find the answer.
Find x
21/2
56/3
54/7
12
Answers
A kite is flying 76 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 589. Find the length of the string. Round your answer to the
nearest tenth
Answers
Answer:
Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.
Step-by-step explanation:
Select the correct answer.
What is the inverse of function f?
Answers
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Answers
Answer:
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wasd is the moving mechanics in minecraft
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
3.14*3^2*8/3=75.39 cm
75.39cm
Answer:
I think it might be 301.59,im not completely sure tho
Glven f(x) = x^2+ 2x - 1 and g(x) = 3x- 5; Determine f + g and f -9
F+g= F-g=
Answers
Answer:
Step-by-step explanation:
you can find videos on yt for that
Answer:
sorry, I'm not sure. you need a little more description though
Plz answer. I’m in a hurry thx.
Answers
Answer:
A or D
Step-by-step explanation:
I saw your previous post and saw all of the list and compared it!
I don't think you will type it out in numbers without square root, so that will leave with an option of A,D,E.
I think A is too less, so maybe D?
well which is possible?
A or D
What is the slope and rate of change brainliest 40 points
Answers
Answer:
slope: 3 for N and 1/2 for O
Step-by-step explanation:
Answer:
N. -3O. 2.5Step-by-step explanation:
N
Use points (1, 5) and (2, 2)
m = (2 - 5)/(2 - 1) = -3O
Use points (0, 10) and (2, 15)
m = (15 - 10)/2 = 5/2 = 2.5Simplify each expression.
a.
9x + 6 - 4x - 2x + 1 - 15
b.
(6x2 – 2x + 5) + (2x2 – 7x – 11)
С
7x2-5 - 2x - 3+ 5
Answers
Answer:
a) 3x-8 b) 8x^2-9x-6 c) 7x^2-2x-3
Step-by-step explanation:
a) 9x+6-4x-2x+1-15
9x-4x-2x+6+1-15
5x-2x+7-15
3x+7-15
3x-8
b) (6x^2-2x+5)+(2x^2-7x-11)
6x^2+2x^2-2x-7x+5-11
8x^2-9x-6
c) 7x^2-5-2x-3+5
7x^2-2x-8+5
7x^2-2x-3
help PLZZZZZZZZ NUMBER 4
Answers
Answer:
I cannot see number 4Step-by-step explanation:
r
if your car can travel 10km on every litre of petrol.how much petrol you will need to drive 1000 km??
Answers
3(4x+6)=x-4
Pls look at the picture for the rest of the question thanks!
Answers
Answer:
(x = −2) sentence below
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(4x+6)=x−4
(3)(4x)+(3)(6)=x+−4(Distribute)
12x+18=x+−4
12x+18=x−4
Step 2: Subtract x from both sides.
12x+18−x=x−4−x
11x+18=−4
Step 3: Subtract 18 from both sides.
11x+18−18=−4−18
11x=−22
Step 4: Divide both sides by 11.
11x
11
=
−22
11
x = −2
I used distributive property because it allows me to simply the equation when dealing with the unknown value of x.