Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА,
f(x) = (x-6)(x-4)
OB.
fx) = (x-6)(x + 4)
fx) = (x + 6)(x + 4)
OD.
AX) = (x + 6)(x-4)
Algebra

Answer:

Step-by-step explanation:

Given the function f(x) = tan (x)

From trigonometry identity, tan (x) = sin(x)/cos(x)

f(x) = sin(x)/cos(x)

Using the quotient rule to find the derivative of the function, we will have;

f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x

f'(x) = cos²x - sin²x/ cos²x

Divide through by cos²x

f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x

f'(x) = 1 + sin²x/cos²x / 1

f'(x) = 1 + (sin²x/cos²x)

f'(x) = 1 + tan²x

From trig identity,  1 + tan²x = sec²x

Hence, f'(x) = sec²x

Hence the expression  f'(x)  in terms of the secant function is sec²x

f'(x) = 1/cos²x

For the function to be defined, it means that cos²x ≠ 0

cos²x ≠ 0

cos x ≠ 0

x ≠ cos⁻¹0

x ≠ 90⁰

Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will  becomes f'(0) = 1/cos²0 = 1/1 = 1.

Hence the function is defined at 0≤x<90

[tex]solution \: (a) \:: [/tex]

[tex] \frac{1}{7} x = 1[/tex]

[tex]x = 7[/tex]

[tex] solution \: (b) \:: \\ x \times \frac{1}{11} = 1[/tex]

[tex]x = 11[/tex]

[tex]solution \: (c) \:: [/tex]

[tex]1 \div \frac{1}{5} = x[/tex]

[tex]x = 5[/tex]

Answer:

Transitive

Step-by-step explanation:

It's like a train. Since bc is equal to xy and xy is 8.Then the value of xy equals to bc.

[tex]f(x) = x + 2\\g(x) = x\\(g \circ f) = g(f(x)) = x + 2\\g \circ f)(3) = 3 + 2 = 5[/tex]

Answer:

1/15 per min

Step-by-step explanation:

3 times 5 equals 15 and so 1/15.

Try making a visual picture to see yourself.

Answer:

y - 8 = 2

thats how you would write it so idk i guess pick c because its the closest

"8 less than y" ==> y-8

"is 2" ==> =2

therefore y-8=2

Answer:

A, the first one

Step-by-step explanation:

On the left side, the graph is going closer to 0, that explains the first coordinate 0. On the right side, the graph approaches positive infinity, so that explains the infinity. I hope this helps!

Answer:

it is data that you can see or describe such as he is a boy

Step-by-step explanation:

Answer: 1/44

Step-by-step explanation:

MN and QR

Hope it helps...

Answer:

[tex]-2\frac{-1}{2}[/tex]

Step-by-step explanation:

To distribute the -6, multiply every numerator by -6, this gets you

-6/4+12/3-30/6

To put these together, they all need to have a common denominator. We can make all of the denomiators 12 by multiplying the numerator by whatever we multiply the denominators by to get 12.

-18/12+48/12-60/12

This gets you -30/12

To make this a proper fraction, divide -30 by 12 and put the whole number to the left of the fraction (-2), making a mixed number. The remainder stays a fraction which is -6/12. This reduces down to -1/2. Put -2 and -1/2 together to get [tex]-2\frac{-1}{2}[/tex]

Answer:

3 1/4

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

im going to change the fractions to decimals

1/2 = 0.5

2 3/4 = 2.75

0.5 + 2.75 = 3.25

now im going to switch it back to fraction

3.25 = 3 1/4

Answer:

60/100 and .6

Step-by-step explanation:

Answer:

11 Squares are there in 11 squares

Answer:

11

Step-by-step explanation:

because take your question and realize you put, "How many squares are in the 11 squares?"

(Sry if wrong or information misunderstood!)

Answer:

Step-by-step explanation:

Team B=2.2*4.8= 10.56

Team C : 10.56 *1.5=15.84

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 5) and (7, -1)

The distance between them is

[tex]d = \sqrt{ ({ - 3 - 7})^{2} + ({5 + 1})^{2} } \\ = \sqrt{( { - 10})^{2} + {6}^{2} } \\ = \sqrt{100 + 36} \: \: \: \: \: \: \: \\ = \sqrt{136} \\ = 2 \sqrt{34} \\ = 11.66190378...[/tex]

We have the final answer as

Hope this helps you

Answer:

-3.5, -3, -1.5, -1, 2

Step-by-step explanation:

Answer:

-3.5, -3, -1.5, -1, 2

Step-by-step explanation:

negatives to positives

Answer:

4 2/3

Step-by-step explanation:

7/9 multiplied by 6/1 = 42/9

Simplify: 14/3

Turn it into a mixed number: 4 2/3

Step-by-step explanation:

y-8=7 y=15

|x-2|=15 has two solutions

17,-13

Answer:

answer

(x_2)- 8=7

2x=8-7

2x=1

that's the answer

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

[tex]A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)[/tex]

[tex]A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609 )+618[/tex]

[tex]A(1.03)=900.407048+382.45445+530.45+618[/tex]

[tex]A(1.03)=2431.311498 [/tex]

[tex]A(1.03)\approx 2431.31 [/tex]

Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

[tex]A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)[/tex]

[tex]A(1)=800+350+500+600[/tex]

[tex]A(1)=2250[/tex]

Therefore, 2250 was put into the account at the beginning.

Answer:

300m

Step-by-step explanation:

20 Times 15=300

Answer:

dy/dx = (2t + 3t²) / (2t)

Step-by-step explanation:

y = t² + t³

dy/dt = 2t + 3t²

x = 5 +t²

dx/dt = 2t

dy/dx = (dy/dt) / (dx/dt)

dy/dx = (2t + 3t²) / (2t)

Answer:

the 3/5 part of 6 3/5

Step-by-step explanation:

3/5 is equal to 3/10 because when you find the common denominator of 10, you multiply 3/5 by 2 and 3/10 by 1 because 10 is already 10. 3/5*2=6/10.

Answer:

60%

Step-by-step explanation:

all you need to do is multiply this by 100 (move two decimal places to the right).

0.6--> 60

60 percent

Answer: 60%

Explanation: .6 x 100 = 60

Answer:

x =(-1+√-15)/2=(-1+i√ 15 )/2= -0.5000+1.9365i

Step-by-step explanation:

I got two answers

Answer:

$5.60

Step-by-step explanation:

Each pound of strawberries costs $5.60.

To solve: $16.80 divided by 3

Answer:

2/10, 1 1/4, 13/24, 11/24

Step-by-step explanation:

1. subtract the fractions

2. add the fractions

3. add the fractions

4. add the fractions