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Murljashka [212]
3 years ago
11

PLLLLZZSSZ HELPPP i really need to finish

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

Step-by-step explanation:

Equation of the function is,

f(x) = 2x² + 20x + 54

To convert the function in the form of f(x) = a(x - h)² + k

f(x) = 2(x² + 10x) + 54

     = 2[x² + 2(5x) + 25 - 25] + 54

     = 2[x² + 2(5x) + 5²] + 54 - 50

     = 2(x + 5)² + 4

     = 2[(x - (-5)]² + 4

Vertex of the quadratic equation (parabola) will be (-5, 4)

Therefore, f(x) has a minimum value at x = -5,

f(-5) = 4

"The function f(x) has a minimum value of 4, which occurs when x = 5"

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Allison needs 18 liters of 5% saline solution . She has a 1% solution available. How many liters of the 1% solution and how many
professor190 [17]

Answer:

10 litres of 1% solution and 8 litres of 10% solution

Step-by-step explanation:

Let vol of 1% solution = x

So vol of 10% solution = 18 - x

5% of 18 litres = 0.9

Equation formed is

<h3>x * (1/100) + (18 - x)*(10/100) = 0.9</h3>

x + (18 - x)10 = 0.9 * 100

x + 180 - 10x  = 90

-9x = 90 - 180

-9x = -90

 x = 10 litres

<h3>10 litres of 1% solution and 8 litres of 10%</h3>

3 0
4 years ago
Find the remainder when f(x) is divided by (x - k). <br><br> f(x) = 8x4 + 7x3 + 5x2 - 5x + 35; k = 4
Slav-nsk [51]
Using the remainder theorem, evaluating the function for k will be the same value as the remainder.
8(4^4) + 7(4^3) + 5(4^2) -5(4) + 35 =
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2591
6 0
3 years ago
Read 2 more answers
The value of the expression when t-32 degrees is what degrees<br>​
GaryK [48]

Complete Question:

The temperature doubled.  Evaluate when t = 32 degrees.

The value of the expression when t = 32 degrees is  degrees

Answer:

64 degrees

Step-by-step explanation:

Given

t = 32

Required

Determine the value of t when it doubles

To do this, we simply multiply the current temperature by 2.

So:

t = 32 becomes

t = 32 * 2

t = 64

<em>Hence, the temperature when it doubles is 64 degrees</em>

7 0
3 years ago
A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per
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Area = 10(pi)(16) = 160pi cubic feet
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3 years ago
Find the equation of the line parallel to 2y-3x= 4 and passing through the point (6,7)
frutty [35]

Answer:

We have equation of a line:

2y - 3x = 4 => y = (3/2)x + 4

The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and

a = 3/2

6a + b = 7

=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2

=> The equation of that line: y = (3/2)x - 2

Hope this helps!

:)

7 0
3 years ago
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