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sergeinik [125]
3 years ago
15

Answer the questions below about the quadratic function.

Mathematics
1 answer:
Korolek [52]3 years ago
6 0

Given the function f(x)=3x^2-18x+23. The above function can be written as

f(x)=3x^2-18x+23\\ f(x)=3(x^2-6x)+23\\ f(x)=3(x^2-6x+9-9)+23\\ f(x)=3(x-3)^2-27+23\\ f(x)=3(x-3)^2-4

a)Now, the function f(x)=3(x-3)^2-4 has minimum value since the coefficient of (x-3)^2 is 3>0.

b) The minimum value of the function occurs at x=3 and its value is

f(3)=3(3-3)^2-4 =-4

c)The minimum value of the function occurs at x=3.

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Need answer Asap please :) ​
marin [14]

Answer:

1. 11

2. -82

3. \frac{8}{15}

4. 36

5. 1

Step-by-step explanation:

1. 3x + 5, when x = 2

Plug in the value of x

3(2) + 5 = 6 + 5

= 11

2. 5xy + x - 4, when x = -3 and y = 5

Plug in the values

5(-3)(5) + (-3) - 4

-75 - 3 - 4 = -82

3. \frac{6ab - c}{abc}, when a = 5, b = 3, and c = 10

Plug in the values

\frac{6(5)(3) - 10}{5*3*10}

\frac{90 - 10}{150}

\frac{80}{150}

\frac{8}{15}

4. 3(xy + 6), when x = -6 and y = - 1

3(-6*-1 + 6)

3(6 + 6)

3(12)

36

5. \frac{2x + 5}{3x - y}, when x = -3 and y = -8

\frac{2(-3) + 5}{3(-3) - (-8)}

\frac{-6 + 5}{-9 + 8}

\frac{-1}{-1} = 1

6 0
4 years ago
Fifty percent of the surface area of the bread is crust. What is the height h?
alukav5142 [94]
The answer is going to be 20
5 0
4 years ago
What is the length of a rectangle that has an area of 10ft and a width of 5ft​
motikmotik

Answer: 2

Step-by-step explanation: area= length times width 10/5 is 2 so the length is 2

7 0
3 years ago
On Monday from the peak Mount Kilimanjaro a group of mountain climbers descended 3,499 feet.On Tuesday, they descended another 5
lapo4ka [179]

Answer:

8,741 feet and 8,741 feet

Step-by-step explanation:

In two days they went 8,761 ft. It will take them 8,761 more feet to get to the bottom of the mountain.

Sorry, I think this is how you do it.

5 0
4 years ago
Translate the word phrase into a math expression.
Tju [1.3M]

Answer:

4x-15     Rate me 5 stars if its correct

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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