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
Brilliant_brown [7]
3 years ago
9

Which ordered pair represents the y-intercept of the graph of the equation y = -3x - 9?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0
------------------------------------------------------------------------------------------
Equation
------------------------------------------------------------------------------------------
y = -3x - 9

------------------------------------------------------------------------------------------
Option 1
------------------------------------------------------------------------------------------
If I substitute x = -9, I should get y = 0

When x = -9
y = -3 (-9) - 9
= 18 (I did not get 0, wrong)


------------------------------------------------------------------------------------------
Option 2
------------------------------------------------------------------------------------------
If I substitute x = -3, I should get y = 0
y = -3(-3) - 9
y = 9 - 9 
y = 0 (Yes, I got 0, correct)


------------------------------------------------------------------------------------------
Option 3
------------------------------------------------------------------------------------------
If I substitute x = 0, I should get y = -3
y = -3 (0) - 9
y = 0 - 9
y = -9 (I did not get -3, wrong)


------------------------------------------------------------------------------------------
Option 4
------------------------------------------------------------------------------------------
If I substitute x = 0, I should get y = -9
y = -3 (0) - 9
y = 0 - 9
y = -9 (Yes, I got -9, correct)


------------------------------------------------------------------------------------------
Answer: (-3, 0) and (0, 9) are ordered pairs of the equation (Answer B, D)
------------------------------------------------------------------------------------------

You might be interested in
Vertex form is f(x)=a(x-p)^2 +q. How do i determine a?
slamgirl [31]
Y1 is the simplest parabola.  Its vertex is at (0,0) and it passes thru (2,4).  This is enough info to conclude that y1 = x^2.

y4, the lower red graph, is a bit more of a challenge.  We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).

Let's try this:  assume that the general equation for a parabola is 
y-k = a(x-h)^2, where (h,k) is the vertex.  Subst. the known values,

-3-(-4) = a(2-0)^2.  Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.

The equation of parabola y4 is   y+4 = (1/4)x^2

Or you could elim. the fraction and write the eqn as 4y+16=x^2, or

4y = x^2-16, or    y = (1/4)x - 4.  Take your pick!  Hope this helps you find "a" for the other parabolas.


8 0
3 years ago
Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac
Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0
3 years ago
How is 10 2/3 written as a decimal to the nearest hundred
expeople1 [14]

Answer:

10.67

Step-by-step explanation:

The 10 stays as it is.  The 2/3 is approximated by 0.67 (to the nearest hundredth).  Thus, we have 10.67 to the nearest hundredth.


6 0
3 years ago
Leslie is going to the state fair with her friends but can only stay for 3 hours. The event offers two different pricing structu
Cloud [144]
 The answer would be D. It would be $42 in the end if you picked D.
5 0
3 years ago
The product of 2 more than 3 times a number and 6 less than 4 times the number (z)
Rom4ik [11]

Answer:

12z^{2} -10z -12

Step-by-step explanation:

Let the number be z

2 more than 3 times z ==> 3z + 2

6 less than 4 times z ==> 4z - 6

Product of the above two is
(3z + 2) (4z - 6) \\= (3z)(4z) + (3z)(-6) + (4z)(2) + (2)(-6)\\= 12z^{2} -18z + 8z - 12\\= 12z^{2} -10z -12

7 0
2 years ago
Other questions:
  • Solve sinX+1=cos2x for interval of more or equal to 0 and less than 2pi
    6·2 answers
  • PLEASE!!!I NEED HELP!!!!!!!
    14·1 answer
  • Find the solution for 8x = 48. Then explain how you
    11·2 answers
  • How large of a container would be needed to hold 800 g of water?
    13·2 answers
  • When 31 times a number is increased by 40, the answer is the same as when 200 is decreased by the number
    14·2 answers
  • Decide whether the statement is a valid dennltion.
    10·1 answer
  • Paddy and Anna each invest $2000 for 5 years.
    10·1 answer
  • In the first quadrant ,you start at 4,6 and move 3 units right and 1 unit down ,what point will u end up
    6·1 answer
  • Paul Colin and Brian are waiters one night the restaurant earns tips totalling £78.40 they share the tips in the ratio 2 to 5 an
    12·1 answer
  • Use the distributive property to simplify the expression. (100+4x)20+7x
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!