Our current equation is:
-ax + 3b > 5
Our objective is to solve for x, so let's first get -ax by itself.
Subtract 3b from both sides.
-ax > -3b + 5
Now, we have -a multiplying x, so we need to perform the opposite order of operations (like previously shown with 3b).
Divide both sides by -a.
Remember to flip the inequality when multiplying or dividing by a negative.
x <_ (-3b + 5)/-a is your final answer.
I hope this helps!
Answer:
z = 1
Step-by-step explanation:
15z + 35 = 50
15z = 50 - 35
15z = 15
z = 15/15
z = 1
Answer:

Step-by-step explanation:
We know that the equation that models the height of the ball as a function of time is
.
Where the initial speed is 80 feet.
When the ball lands on the ground, its height will be
.
So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

To solve this quadratic equation we use the quadratic formula.
For an equation of the form:

The quadratic formula is:

In this case

Then


We take the positive solution

Answer:
(-7, 3)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
y - 3 = 4(x + 7)
↓ Compare to Point-Slope Form
Point (-7, 3)
Slope <em>m</em> = 4