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Pie
2 years ago
15

Factor the expression C^2 - 2c - 63

Mathematics
2 answers:
vagabundo [1.1K]2 years ago
5 0

Answer:

(c + 7) ( c - 9)

Step-by-step explanation:

Dima020 [189]2 years ago
4 0

Answer:

(c + 7)(c - 9)

Step-by-step explanation:

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(X-4) (x+2)=16 <br> What’s the standard form
Reika [66]

Step-by-step explanation:

(x - 4)(x + 2) = 16 \\  {x}^{2}  + (- 4 + 2)x + ( - 4)  \times 2= 16 \\  {x}^{2}  - 2x - 8  - 16 = 0 \\  {x}^{2}  - 2x - 24 = 0 \\ is \: the \: standard \: form.

8 0
3 years ago
Read 2 more answers
Type the correct answer in the box.
Pepsi [2]

Answer:

f(g(-64)) = -190

Step-by-step explanation:

The functions are not well written.

Let us assume;

f(x) = x+1

g(x) = 3x+1

f(g(x)) = f(3x+1)

Replace x with 3x+1 in f(x)

f(g(x)) = (3x+1) + 1

f(g(x)) = 3x + 2

f(g(-64)) = 3(-64) + 2

f(g(-64)) = -192+2

f(g(-64)) = -190

<em>Note that the functions are assumed but same method can be employed when calculating composite functions</em>

8 0
2 years ago
Camacho is buying a monster truck. The price of the truck is xx dollars, and he also has to pay a 13\%13% monster truck tax.
Maslowich

Answer:

1.13x

Step-by-step explanation:

We have been given that Camacho is buying a monster truck. The price of the truck is x dollars, and he also has to pay a 13% monster truck tax. We are asked to find the total amount paid by Camacho for the monster truck.

The total cost of monster truck would be x plus 13% of x.

\text{The total cost of monster truck}=x+\frac{13}{100}x

\text{The total cost of monster truck}=x+0.13x

\text{The total cost of monster truck}=1.13x

Therefore, Camacho paid 1.13x dollars in total for the truck.

7 0
3 years ago
The area of a square garden is 1/36 mi 2 how long is each side<br><br>​
Vitek1552 [10]

Answer:

1/6 meters

Step-by-step explanation:

Let the side length be x.

Then the area of the square = x^2

∴ x^2 = 1/36

√(x^2) = √(1^2 / 6^2)

x        = 1/6

Therefore, the side length is 1/6 meters.

Hope it helped you!!!

6 0
3 years ago
F(x) = x2 − x − ln(x) (a) find the interval on which f is increasing. (enter your answer using interval notation.) find the inte
Mekhanik [1.2K]

Answer:

(a) Decreasing on (0, 1) and increasing on (1, ∞)

(b) Local minimum at (1, 0)

(c) No inflection point; concave up on (0, ∞)

Step-by-step explanation:

ƒ(x) = x² - x – lnx

(a) Intervals in which ƒ(x) is increasing and decreasing.

Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

           2x² - x  -1 = 0

     ( x - 1) (2x + 1) = 0

         x = 1 or x = -½

We reject the negative root, because the argument of lnx cannot be negative.

There is one zero at (1, 0). This is your critical point.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

ƒ'(½) = 2(½) - 1 - 1/(½) = 1 - 1 - 2 = -1

ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

ƒ'(0) = 2(2) -1 – 1/2 = 4 - 1 – ½  = ⁵/₂

ƒ'(x) > 0 so the function is increasing on (1, ∞).

(b) Local extremum

ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

ƒ''(x) = 2 + 2/x² = 0

             x² + 2 = 0

                   x² = -2

There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}

The function is concave up on (0, ∞).

6 0
3 years ago
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