X≤11
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 7 from both sides.
Answer:
5b+3-b-b-4
Explanation:
First, you’ll do 5b-b-b which will become 5b-2b and equals 3b. Then 3-4 equals -1.
When simplified, you get 3b-1
Answer:
x=5
Step-by-step explanation:
4x+5=3x+10
All x values must go on the right so subtract 3x from both sides
4x+5=3x+10
-3x -3x
which gets you
x+5=10
Now subtract 5 from both sides to get the value of x
x+5=10
-5 -5
And you get
x=5
Hello!
The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.
The value of the discriminant will tell us how many solutions there are to the given quadratic equation.
A positive discriminant will have two real solutions.
A discriminant of zero will have one real solution.
A negative discriminant will no real solutions.
1. Substitute, a = 16, b = 8, c = 1.
8² - 4(16)(1)
64 - 4(16)(1)
64 - 64(1)
64 - 64
0
Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.
Answer:
y = 2x - 1
Step-by-step explanation:
Slope intercept form: y=mx+b
point a: (1, 1)
point b: (2, 3)
1. Find the slope of the equation
Equation for slope(mx): (y2- y1)/ (x2-x1)
(3-1)/(2-1)= 2
slope: 2
2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.
point a: y=1, x=1
y=mx+b
1=2(1) + b
b= -1
3. Plug the answers you found above into the slope-intercept form
Overall equation:
y=2x - 1