Answer:
2+2 ÷ x.4 - 19.r + 30 = 5 the hidden number behind x is 5
Answer: k=9/4
Step-by-step explanation: We can do this by finding a number that adds up to 3 when multiplied by 2. The best way to do this is to use ((b^2)/4) which can usually find you the number for a perfect square based on b, which we have. So, 3^2 / 4 =9/4, meaning k=9/4. We can check:
>x^2 +3x +9/4
> (x+3/2)(x+3/2)
Perfect square.
3 1/2 ÷ 1 1/4
7/2 ÷ 5/4
7/2 · 4/5
28/10
2.8
Julio walks 2.8 miles in one hour.
Answer:
B. y= 1/2 x - 3
Step-by-step explanation:
base equation: y= mx+ b
slope(m) equation:
y2= -1 y1= -3
x2= 4 x1= 0

y- intercept: -3
found by taking the y from (0,-3)
Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:

second equation:

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.