Answer:
Below in bold.
Step-by-step explanation:
x-intercepts (-3,0) and (6, 0)
y-intercept (0, -5)
Axis of symmetry:
(-3 + 6) / 2 = 1.5
x = 1.5.
Domain = all real x.
Range is f(x) ≥ -6.
Graph is positive for x < -3 and x > 6.
Negative for -3 < x < 6.
Increasing for x > 1.5 and decreasing for x < 1.5.
Answer:
the answer is 2/9.
Step-by-step explanation:
8/9÷4
= 8/9 × 1/4
= 8/36
=2/9
"Pedro has twice as many carrots as Martha:"
p = 2m
<span>
"If Pedro gives 5 carrots to Oliver,"
p - 5 (</span>Oliver is irrelevant.)<span>
"then Martha has 3 times as many carrots as Pedro"
</span>
m = 3(p - 5)
We know p in terms of m, so substitute it in:
m = 3(2m - 5)
Distribute the 3:
m = 6m - 15
Subtract 6m from both sides:
m-6m=-15
Combine variable terms:
-5m=-15
Divide out -5
m = -15/-5
m = 3
The answer is c) 3
294 miles per 14 gallons = 21 miles per 1 gallon
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorrem. Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:
#19: 5^2 + 12^2 = ? = 13^2
25 + 144 = ? = 169 This is true, so you do have a right triange in #19.
#21: 2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49 This is false. Not a right
triangle.
Apply this same approach (Pythagorean Theorem) to the remaining problems.
