9514 1404 393
Answer:
f(8) = -30 is the maximum
Step-by-step explanation:
The equation is that of a parabola in vertex form:
y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor
Comparing this form to the given equation, we have ...
f(x) = -(x -8)^2 -30
That is, the scale factor is -1, and the vertex is (8, -30).
When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.
Two point one three :)))))))))
Answer:
Her uncle's age = 47 years
Step-by-step explanation:
Sophia = 12 years old
Her Uncle Reynald tells her that if she adds 5 to her age,
= 12 + 5
multiplies the sum by 3
= (12 + 5) × 3
and then subtracts 4 from the product
= {(12 + 5) × 3} - 4
she will find his age
{(12 + 5) × 3} - 4
= (17 × 3) - 4
= 51 - 4
= 47
Her uncle's age = 47 years
Sophia wrote:
12 + 5 × 3 − 4
Using PEMDAS
P - product
E - exponent
M - multiplication
D - division
A - addition
S - subtraction
Sophia's expression can be written as = 12+(5*3)-4
= (12 + 15) - 4
= 27 - 4
= 23
Sophia's expression is wrong
Answer:
100 texts
Step-by-step explanation:
Let the amount of text messages be x. Since we are looking at making both plans equal, we add the fixed monthly charges to the number of messages multiplied by the cost.
The total amount charged by Totally will be 30 + 0.2x
The total amount charged by Gnarly will be
40 + 0.1x
Now since we are trying to get the number of text messages that make both charges equal, we equate the two charges and that is:
30 + 0.2x = 40 + 0.1x
40 - 30 = 0.2x - 0.1x
0.1x = 10
x = 10/0.1 = 100 texts
The correct product of (6x - 2)(6 x + 2) is 36x^2 - 4
<h3>How to determine the product?</h3>
The expression is given as:
(6x - 2)(6 x + 2).
The above expression is a difference of two squares.
And this is represented as
(a - b)(a + b)= a^2 - b^2
So, we have
(6x - 2)(6 x + 2) = (6x)^2 - 2^2
Evaluate
(6x - 2)(6 x + 2) = 36x^2 - 4
Hence, the correct product of (6x - 2)(6 x + 2) is 36x^2 - 4
Read more about difference of two squares at:
brainly.com/question/3189867
#SPJ1
<u>Complete question</u>
What is the product?
(6x - 2)(6 x + 2).
