<h2>Answer</h2>
<h2>Explanation </h2>
First we are going to find the equation of the solid line passing trough the points (0, 3) and (2, 4).
Using the slope formula:
Now we can use the point slope formula to complete the line equation:
Since the shaded region is bellow the line , the inequality represented in the graph is .
The slope is 5/7
4-(-1)=5 which is the Y value
5-(-2)=7 which is the X value
Slope =Y/X
Answer:
Step-by-step explanation:
8 earth years
Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
- the number 0 — additive identity
- a(b+c) = ab+ac — the distributive property
- an equation containing more than one variable — literal equation
- the number 1 — multiplicative identity
- the reciprocal of a number — multiplicative inverse
If x ≠ 0, then 1/x is its multiplicative inverse — true.
The product of a number and its multiplicative inverse is 1 — true.
