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
GREYUIT [131]
3 years ago
13

F(x) = -x +6 and g(x) = f(x+3), write an equation for function g.

Mathematics
1 answer:
Lostsunrise [7]3 years ago
5 0
G(x)=-(x+3)+6
Which is equal to
g(x)=-x+3
You might be interested in
What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8,2), and (5,-2)?
Llana [10]

Answer:

The area of the parallelogram is 20 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The vertices of the parallelogram are (0 , -2) , (3 , 2) , (8 , 2) , (5 , -2)

- The side joining the points (0 , -2) and (5 , -2) is a horizontal side

  because the points have same y-coordinates

- The side joining the points (3 , 2) and (8 , 2) is a horizontal side

  because the points have same y-coordinates

∴ These two sides are parallel bases of the parallelogram

∵ The length of any horizontal side = x2 - x1

∴ The length of the side = 5 - 0 = 5 <em>or</em> 8 - 3 = 5

∴ The length of one base of the parallelogram is 5 units

- The height of this base is the vertical distance between these two

  parallel bases

∵ The length of any vertical distance = y2 - y1

∵ y2 = 2 and y1 = -2 ⇒ the y-coordinates of the parallel bases

∴ The length of the vertical distance = 2 - (-2) = 2 + 2 = 4 units

∵ This vertical distance between the two parallel bases is the height

  of these bases

∴ The height of the parallelogram is 4 units

- The area of the parallelogram = base × height

∵ The base = 5 units and the height = 4 units

∴ The area = 5 × 4 = 20 units²

* The area of the parallelogram is 20 units²

7 0
3 years ago
Find the equation of the tangent line to the graph of f(a) = sec(a) at the point (0, 1).
Paladinen [302]
Let the required equation be y = mx + c; where y = 1, m = f'(0), x = 0
f(a) = sec(a)
f'(a) = sec(a)tan(a)
f'(0) = sec(0)tan(0) = 0

y = mx + c
1 = 0(0) + c
c = 1

Therefore, required equation is
y = 1.
5 0
3 years ago
Which sequence follows the rule 2n + 6, where n represents the position of a term in a sequence? 6, 8, 12, 18, . . . 6, 12, 18,
melamori03 [73]

ANSWER

8, 10, 12, 14, . . .

EXPLANATION

The given rule for the sequence is :

f(n)=2n+6

The domain for a sequence is the set of natural numbers.

When n=1,

f(1)=2(1)+6=8

When n=2,

f(2)=2(2)+6=10

When n=3,

f(3)=2(3)+6=12

When n=4,

f(4)=2(4)+6=14

Therefore the sequence that follows the given rule is

8, 10, 12, 14, . . .

8 0
3 years ago
A gasoline pump delivers 4 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 17 1/4 gal
Liono4ka [1.6K]
Well if it pumps 4 2/5 per minute that is equal to 4 4/10 in a minute or 4.4 because you multiply the top and bottom of the fraction by two. it’s still the same fraction but it is easy to convert to a decimal now. you could use this fraction but it’s much easier to use decimals. Because the first number is a decimal you should make the second one a decimal too. To do this you need to know that 1/4 of 100 is 25. so now we have these numbers and all you do now is divide 17.25 by 4.4 which could be rounded to 4 because it’s a long decimal
8 0
3 years ago
What’s the answer quick giving brainliest to the correct answer
vlada-n [284]

Answer:. p ≤ 5.

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • The radius of the circle whose equation is (x - 3)² + (y + 1)² = 16 is
    6·2 answers
  • What is the value of 2 in 5,670,249,114? And describe 2 ways to find value?
    6·1 answer
  • What is the slope of y=x+5?
    12·2 answers
  • Solve the equation. -11=1+3r+3
    12·1 answer
  • If a leaf on the ground is 80 feet from the base of a tree, and the angle of elevation to the top of the tree from the leaf is 4
    9·2 answers
  • Which glide reflection describes the mapping ABC DEF​
    15·2 answers
  • Which expression is equivalent to 8/15?<br> A. 8÷1/5<br> B. 8÷15<br> C. 15÷1/8<br> D. 15÷8
    14·2 answers
  • Points that lie on the same line are .......?
    7·1 answer
  • I have an exam and I need your help
    11·1 answer
  • 3x - 5y = 4, -2x + 6y = 18 (system of equations)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!