1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crazy boy [7]
3 years ago
15

Martin is 6 years younger than his sister. The sum of their ages is no more than 22 years.

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

So their age can be no more than 22. And Martin is 6 years younger, which means you subtract.

22 ≥ x + x - 6

You might be interested in
What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)
mina [271]
 Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5
8 0
3 years ago
Plant A: A graph has time (weeks) on the x-axis, and height (inches) on the y-axis. A line goes through points (0, 3), (1, 4.8),
butalik [34]

Answer:

The correct option is;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks

Step-by-step explanation:

The parameters given are;

Plant A:

Weeks,    Height

0,               3

1,                4.8

2,               6.6

3,               8.4

The rate of change of height, H per week, t,\left (\dfrac{dH}{dt} \right )  for plant A per week is therefore;

\dfrac{dH}{dt} =  \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{8.4 - 3 }{3 - 0} = \dfrac{5.4}{3} = 1.8 \ inches/week

Therefore we have;

H = 1.8 × t + 3

At week 6,

H = 3 + 6×1.8 = 13.8 inches

Plant B

Weeks,    Height

2,               7.3

3,               8.7

4,               10.1

The rate of change of height, H per week, t,\left (\dfrac{dH}{dt} \right )  for plant B per week is given as follows;

\dfrac{dH}{dt} =  \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{10.1 - 7.3 }{4 - 2} = \dfrac{2.8}{2} = 1.4 \ inches/week

Therefore we have;

When t = 2, H = 7.3 hence, 7.3 = 2 × 1.4 + H₀

Where:

H₀ = H at t = 0

H₀ = 7.3 - 2 × 1.4 = 4.5

At week 6 we have;

H = 4.5 + 6×1.4 = 12.9 inches

Which indicates that Plant A will be 0.9 inches taller than Plant B at week 6.

The correct option is therefore;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.

5 0
3 years ago
Read 2 more answers
ASAPPP! please help, POINTS!!
Bas_tet [7]

Answer:

C: 1.5

Step-by-step explanation:

For point D, the y value goes from 4 -> 6. This means that 4x = 6 , x=\frac{6}{4} = 1.5.

For point F, both values (x and y) are multiplied by 1.5.

7 0
3 years ago
Read 2 more answers
If dane walks 20 feet then walks beack 80. how far did he travel?
r-ruslan [8.4K]

Answer:

-20

Step-by-step explanation:

-20

4 0
3 years ago
Plz help! will mar brainliest.
OleMash [197]

Answer:

From -2<x<-1, the function F(X) is increasing. (B)

Really, it increases all from around -2.5<x<0.5

C is also the second answer, as it increases til around 2.5

It is decreasing from -4<x<-3. But increases right after. It then starts to slow down around x = 1 and go down again.

Which means (B) is your answer.

If you want to get fancy, its a polynomial and if you take the derivative for instantaneous rate, you will see f prime is increasing if you make an example function.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Add the two expressions.<br><br> 3z−4 and 2z + 5<br><br> Enter your answer in the box.
    7·2 answers
  • 3/2 - (1/2) WHAT DOES IT EQUAL IM A LITTERAL IDIOT with steps please
    13·1 answer
  • Which graph shows the solution to the system of linear inequalities?
    11·2 answers
  • HELP ASAP PLEASE!!!!!!!!!!!
    15·1 answer
  • Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the numbe
    12·1 answer
  • PLEASE HELP ME ASAP!!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!
    12·1 answer
  • What is the greatest common factor of 3x^2+3x
    13·1 answer
  • Find the volume of the rectangular prism<br> Thank you!!
    11·1 answer
  • Which rational number corresponds A on the number line
    9·1 answer
  • Determine the value of ∠EBD∠EBD. Show your work.<br> Giving 18 POINTS
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!