Answer:
"The range of the function is all real numbers less than or equal to 9."
Step-by-step explanation:
For this question the domain is (-∞,∞)
The range is all numbers less than 9 (the y-coordinate of the vertex)
The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)
Therefore the answer is "The range of the function is all real numbers less than or equal to 9."
Answer:
use Pythagoras theorem
the missing side is base
Step-by-step explanation:
pythagoras theorem
h^2 = p^2 + b^2
73^2 = 48^2 + b^2
5329 = 2304 + b^2
5329 - 2304 = b^2
3025 = b^2
√3025 = b
55 = b
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Answer:
(8, 4)
Step-by-step explanation:
<em>AD is enlarged to JM</em>
<em>AD² = 2² + 1² = 4 + 1 =5</em>
<em>AD = √5</em>
then you plug in JM
<em>JM² = 6² + 3² = 36 + 9 = 45</em>
<em>JM = √45 = 3 √5</em>
<em>so if </em>
<em>JM=3 AD</em>
then
<em>ML= 3 DC </em>
<em>then you add</em>
<em>5+3=8</em>
the coordinates for point L are (8, 4)
Answer:
1/4
Step-by-step explanation:
Casserole received by Jackie and Alicie = 1/2 x 3/4 = 3/8 of the whole
Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole
