Answer:
y = ¹/₃x + 11Step-by-step explanation:
A line passing through point (x₁, y₁) with the slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-6, 9) x₁ = -6, y₁ = 9
So:
y - 9 = ¹/₃(x - (-6))
y - 9 = ¹/₃(x + 6) ← point-slope form
y - 9 = ¹/₃x + 2 {add 9 to both sides}
y = ¹/₃x + 11 ← slope intercept form
use mathematical induction to prove the statement is true for all positive integers n. 6 + 12 + 18 + ... + 6n = 3n(n + 1)
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
please help me with this :)
(screenshot below)
Answer:
8b+17=65 is the first equation
b=6
the value of b has increased by 4
Step-by-step explanation:
hope it helps
What is the slope and rate of change brainliest 40 points
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 = 2.5Find x
21/2
56/3
54/7
12
if your car can travel 10km on every litre of petrol.how much petrol you will need to drive 1000 km??
0.6x = 31.2 ( it's multiplication)
Help ASAP!! please
Carl went out to eat with his family for his birthday. The bill was $87.42, but Carl had a 10% off coupon. If Carl gave a 20% tip, what was the final price he paid for the meal?
Answer:
26.226
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
Answer:
some examples:
80, 30, 70
80, 10, 90
100, 70, 10
Step-by-step explanation:
angle measures must add to 180 degrees
A ball is thrown straight up from a height of 3 ft with a speed of 32 ft/s. Its height above the ground after x seconds is given by the quadratic function y = -16x2 + 32x + 3.
Answer:
19ft
Step-by-step explanation:
Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.
The velocity of the ball is zero at maximum height and it is expressed as:
V(x) = dy/dx
V(x) = -32x+32
Since v(x) = 0
0 = -32x+32
32x = 32
x = 32/32
x = 1s
Get the height y
Recall that y = -16x² + 32x + 3.
Substitute x = 1
y = -16(1)²+32(1)+3
y = -16+32+3
y = -16+35
y = 19ft
Hence the maximum height reached by the ball is 19ft
a pilot is flying an airplane at an elevation of 17,500 feet. she is increasing her elevation at a rate of 2,500 feet per minute. which number line shows the solution set for the number of minutes the pilot could increase her elevation and be above 25,000 feet?
Answer:
y= *greater than or equal to sign* 2500x+17500
The answer is: A
Step-by-step explanation:
Hope this help :)
Answer:
It's C
Step-by-step explanation:
I put in A for my exam but it said it was incorrect and it said the answer was C :')
The table below gives the distribution of milk chocolate M&M's
Color: Brown, red, yellow Green, Orange, Blue
Probability 0.13 0.13 0.14 0.16 0.20 0.24
If a candy is drawn at random, what is the probability that it is not orange or red?
PLEASE HELP!
Answer:
0.67
Step-by-step explanation:
correct
In triangle JKL, the measure of angle L=90°, the measure of angle J=25°, and KL = 26 feet. Find the length of LJ to the nearest tenth of a foot.
Answer: 55.8 feet
Step-by-step explanation:
can you help me with this what is 4z-z
Answer: The answer would be 3z! Good luck!
Step-by-step explanation: Subract z from 4z, basically turn the equation to 4z - 1z, then put the variable (z) to the side and subtract 1 from 4. Once you're
done with that bring your variables back and you have 3z!
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?
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
Help with number 1 please.
Answer:
Step-by-step explanation:
A recipe that will serve 15 people requires 3/4 cup of chopped green peppers. If this recipe is changed to serve 8 people, what amount of chopped green peppers will be needed?
2/5 cup
32/45 cup
45/32 cups
5/2 cups
Answer:
2/5 cups
Step-by-step explanation:
(3/4)*8=6
6/15= 2/5
what is 90/3 in mathmatics
Answer:
30
Step-by-step explanation:
what is the area to this
Answer:
600
Step-by-step explanation:
Area of Square:
= l*w
= 20x20 = 400
Area of Triangle:
= b*h/2
= 20*20/2
= 200
400 + 200 = 600
Good luck! <3
Answer:
The total area of the shape is 600 square centimetres.
Step-by-step explanation:
You can solve this by finding the area of the square and the triangle separately.
The area of any rectangle, including squares, is width times height. The bottom square then has an area of 20cm × 20cm, which equals 400cm²
The area of a triangle is have of its base width times its height. It too has a width of 20cm and a height of 20cm, so its area is 20cm × 20cm ÷ 2, which equals 200cm²
Add them together for the full area of the shape:
400cm² + 200cm² = 600cm²
What is the measure of the missing angle?
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
Glven f(x) = x^2+ 2x - 1 and g(x) = 3x- 5; Determine f + g and f -9
F+g= F-g=
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
please please please helpppp
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!!!!!!
Answer:
I think it might be 301.59,im not completely sure tho
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
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
-5 – [-17 + (15 -6)] + (-15 - 8) – {-1 + (8 - 9) + (7 - 10)}
Answer:
-15
-5 – [-17 + (15 -6)] + (-15 - 8) – {-1 + (8 - 9) + (7 - 10)}
-5-(-17+9)+(-23)-(-1+(-1)+(-3))
-5-(-8)-23-(-1-1-3)
-5+8-23-(-5)
-5+8-23+5
=-15
Answer:
Step-by-step explanation:15 9 17 A = 7 0 8 8 10 9 i A-1 =
3(4x+6)=x-4
Pls look at the picture for the rest of the question thanks!
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.
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
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:
Plz answer. I’m in a hurry thx.
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
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 '......'
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.
Translate the sentence into an equation.
Four times the sum of a number and 3 is equal to 6.
Answer:
0.50x4x3
Step-by-step explanation:
16 Apples cost $1.35 per kilogram
Work out the cost of 16 kilograms of apples