Question 1 Which statement about the system of equations y = 3x + 9 and y = 3x – 4 is true?

A. No solution
B. Infinite solutions
C. Exactly one solution
D. Different y-intercepts so there are two solutions

A. no solution

Step-by-step explanation:

y = 3x + 9

y = 3x - 4

Let's solve this.

We can see that both equations equal y, so we can set them equal to each other.

3x + 9 = 3x - 4

Combine like terms.

[add 4 to both sides]

3x + 13 = 3x

[subtract 3x from both sides]

13 = 0

This statement is not true; therefore, there is no solution.

If we look at the graph below, we can see the lines are parallel. Parallel lines will never intersect and have no solution in a system of equations.

Hope this helps!

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is