Step-by-step explanation:
x - 3y = 6
3y = x - 6
y = 1/3 x - 2.
Here m is 1/3 and b is -2.
Sally launches a rocket off of a platform. The height of the rocket, in meters, can be modeled by the function, h(x) = -5(x - 3)2 + 56, where x is in seconds. o What is the height of the platform? o What is the maximum height the rocket reaches? o How long does it take to reach this height?
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
Hence it takes 3 secs to reach the maximum height.
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
Hence the maximum height that the rocket reaches is 56m
Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}
NiCole Spent 15% of her day doing homework. How many hours did she spend on her homework?
Answer:
4 hour of her day
Step-by-step explanation:
Find f (-9) with the given function rule of f(x)= x-3
Step-by-step explanation:
We have f(-9) = (-9) - 3 = -12.
Answer:
-12
Step-by-step explanation:
f(9)=-9-3= -12
....
At a basketball camp there are 10 girls for every five boys. What is the ratio for boys to the total number of campers?
At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seated at a smaller table. There were 37 guests in all. If n represents the number of guests seated at each of the large tables, what equation represents the situation?
Answer:
3n+7=37 is the equation to solve how many were at each of the large tables
help me i need the answer
9514 1404 393
Answer:
arc AB = 102°arc ADB = 258°Step-by-step explanation:
The measure of an arc is the measure of the corresponding central angle.
__
Short arc AB is shown as subtending a central angle of 102°, so the measure of arc AB is 102°.
__
The sum of arc measures in a circle is 360°, so the measure of arc ADB is 258°, the value that adds with 102° to make 360°.
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 and the length of B C is 6. Angle A B C is 60 degrees and angle B A C is 30 degrees.
What is the value of tan(60°)?
One-half
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 1 Over StartRoot 3 EndRoot EndFraction
Answer: 2 is the answer
Step-by-step explanation:
did it on ed
The value of tan 60° in the triangle ABC is √3
Right angle triangle:Right angle triangle have one of its angles as 90 degrees. The sides are called hypotenuse, adjacent and opposite side base on the angles.
Therefore,
ΔABC
∠C = 90°
AB = 12
BC = 6
∠B = 60°
∠A = 30°
Therefore,
tan 60° = opposite / adjacent
AC = √12² - 6² = √108 = 6√3
tan 60° = AC / BC
tan 60° = 6√3 / 6
tan 60° = √3
learn more on right angle triangle here: https://brainly.com/question/16627295
I help pls
I dum dum at math
Answer:
AB - XY ≅ 0
Step-by-step explanation:
since AB is identical to XY, AB - XY would be approximately 0
Find the area of this isosceles trapezoid.
Answer:
431
Step-by-step explanation:
The number of chairs in the classroom is twice the number of tables plus six. If there are thirty-six pieces of furniture in the classroom between chairs and tables, how many chairs and tables are there?
Answer:
24 chairs and 18 tables
Step-by-step explanation:
I split it up so 24 chairs and 12 tables plus 6 so 18 tables.
Write four and five-eighths as an improper fraction and as a mixed number.
A. start fraction 37 over 8 end fraction, 5Four-eighths
B. start fraction 44 over 8 end fraction, 5Four-eighths
C. start fraction 37 over 8 end fraction, 4start fraction 5 over 8 end fraction
D. start fraction 32 over 8 end fraction, 4start fraction 5 over 8 end fraction
PLEASE HELP WORTH 20 POINTS
Answer:
the answer is c.
Step-by-step explanation:
i multiply the 4 by the 8 on the denominator and add that answer to the numerator which equal to 37/8
and the mixed number stays the same since its already mixed.
Answer:
C
Step-by-step explanation:
Please I need help on this
Answer:
i cant see the picture that well
A cop wrote 380 citations for warnings and speeding tickets. Of these there were 40 more warnings and speeding tickets. How many warnings and speeding tickets were issued?
Answer:
210 warnings and 170 speeding tickets
Step-by-step explanation:
Add them together and you get 380.
210 is 40 more than 170
D.
$3.75
Two families went bowling. Each hour of bowling costs b dollars per person, plus a flat foo
of 52 per person for shoe rental. The expression 3 (6 + 2) + 4(6+2) represents the total
cost of both familes to bowl for one hour Choose the equivalent expression below
A.
7(6+2)
B
7(20+4)
с
36 +2+4+2
D
37 +6++2
4
Which number goes in the box to make a true equation?
]X 10 = 42.000
Answer:
x=4200
Step-by-step explanation:
10x=42000
x=4200
1. Check whether the following numbers are in proportion or not:
(i) 3, 5, 6, 10
(ii) 0.25, 0.5, 50, 100
(iii) 3, 412, 6, 923
(iv) 412, 113, 214, 23
Answer:
the answer is 18-3/9 into 3rds 13/3
Step-by-step explanation:
Answer:
5/23 into 8
Step-by-step explanation:
Can anyone please help I am struggling with math and Noone wants to help me and I want to learn so does anyone understand HOW u factor this
Answer:
Step-by-step explanation:
256 = 16×16=4×4×4×4 = 4^4
X^4-4^4 = (x^2)^2 - (4^2)^2
Using algebraic identity a^2-b^2 = (a+b)(a-b)
We get (x^2+4^2)(x^2-4^2)
(x^2+4^2)(x+2)(x-2)
what is -3(x+6) equal to?
HAPPY?????
Answer:
-3x - 18
Step-by-step explanation:
Use the distributive property.
-3(x + 6) = (-3)(x) + (-3)(6) = -3x - 18
Answer:
-3x-18
Step-by-step explanation:
Use the distributive property to simplify
-3(x+6)
(-3*x)+(-3*6)
-3x+(-18)
-3x-18
Plz, Help me with this question.
Answer:
the answer is I its adding 11
At a small airport, 3 out of 27
suitcases are misplaced each day. If 810
suitcases are processed, how many suitcaset
would you expect to be misplaced?
In the scale used on a blueprint, 12 inch represents 3 feet. On the blueprint what is the length of a room with an actual length of 24 feet?
Answer:
27 feet
Step-by-step explanation:
The relationship (3,2)(2,5) (8,5) (3,6) is a function
A True
B) False
Nicole rented a scooter while she was on vacation. She paid an initial rental fee of $50 plus a daily fee of $ 25 each day. The total cost was for the rental was $300. How many days did Nicole rent the scooter
Answer: Nicole rented the scooter for 10 days.
Step-by-step explanation:
50 + 25 = 75 (Day 1)
75 + 25 = 100 (Day 2)
100 + 25 = 125 (Day 3)
125 + 25 = 150 (Day 4)
150 + 25 = 175 (Day 5)
175 + 25 = 200 (Day 6)
200 + 25 = 225 (Day 7)
225 + 25 = 250 (Day 8)
250 + 25 = 275 (Day 9)
275 + 25 = 300 (Day 10)
Hurry hurry help!! I will make u a brainlist
Answer:
The answer is no
Step-by-step explanation:
Drag each tile to the correct box. Not all tiles will be used. Consider the following función. F(x) = 4x + 7
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Starting with the original function, swap the variables x and y, then solve for y. The resulting function is the inverse of the original function.
Answer: The person that answered at the top is a legend!! The picture below is just proof that he/she is right!! :)
Krystal purchases a total of $120. If a 4% sales tax is added on, how much will her total purchase cost?
A construction company is repaving a damaged road. So far, they have repaved a total of 8,747 centimeters of the road. Today, they repaved 2,138 centimeters of the road. About how many centimeters of the road had they repaved before today?
Answer:
previously repaved= 6,609cm
Step-by-step explanation:
Giving the following information:
So far, they have repaved a total of 8,747 centimeters of the road. Today, they repaved 2,138 centimeters of the road.
To calculate the number of centimeters repaved, we need to use the following formula:
Total centimeters= repaved today + previously repaved
8,747= 2,138 + previously repaved
6,609=previously repaved
Which table of ordered pairs represents a proportional relationship? PLEASE HELP MEEEE!!!!!!
20 POINTS I THINK
the answer is B
your welcome
Complete the recursive formula of the arithmetic sequence 20, 26, 32, 38, ....
Answer:
a(1) = 20 or 14. Does Khan say that the first term of the sequence shown is the 1'st term or not.
a(n) = a(n-1) + 6
If not correct then I'm sorry
Step-by-step explanation:
Answer:
a(1) = 20
a(n) = a(n-1) + 6
Step-by-step explanation: