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sasho [114]
3 years ago
10

Find the vertex form of the function then find the following a) intercepts b) vertex c) maximum or minimum d) range

Mathematics
1 answer:
Ganezh [65]3 years ago
5 0
Vertex form; y = 5(x - 3)² - 85
x-intercept; (3, +√17, 0) , (3 -√17, 0)
y-intercept; (0, -40)
minimum value at -85
range; [-85, ∞), {y|y ≥ -85}

hope this helps, God bless!
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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
2 years ago
What is the answer?​
antoniya [11.8K]

Answer:

45

Step-by-step explanation:

6 0
2 years ago
Hurry, I need help and please explain
Zepler [3.9K]

Answer:

Question 18

=$3.33

Step-by-step explanation:

i)

26/100 x 4.5

=1.17

(the discount price)

ii)

$4.5-$1.17

=$3.33

5 0
3 years ago
Read 2 more answers
What is the formula for simple interest?
Afina-wow [57]

Answer:

A = P (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

Step-by-step explanation: brainliest plz

8 0
2 years ago
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
olga nikolaevna [1]
<h3>Answer:   1.15</h3>

==============================================================

Work Shown:

QR = 73

QP = 55

PR = x

Pythagorean Theorem

a^2 + b^2 = c^2

(QP)^2 + (PR)^2 = (QR)^2

(55)^2 + (x)^2 = (73)^2

3025 + x^2 = 5329

x^2 = 5329-3025

x^2 = 2304

x = sqrt(2304)

x = 48

PR = 48

----------

tan(angle) = opposite/adjacent

tan(R) = QP/PR

tan(R) = 55/48

tan(R) = 1.1458333 approximately

tan(R) = 1.15

8 0
3 years ago
Read 2 more answers
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