HELP ME QUICK PLEASEE!!
4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 3 4 5 6
Output (y) 3 4 5 6
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) - 2x + 16. Which relation has a greater value when x = 6? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) - 40? (5 points)
(10 points)

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:

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

Answer:

Step-by-step explanation:

Team B=2.2*4.8= 10.56

Team C : 10.56 *1.5=15.84

Answer:

Hypotenuse = 5 in

Longer leg = 4 in

Shorter leg = 3 in

Step-by-step explanation

The longer leg = x

The shorter leg = x - 1

Now through Pythagoras theorem:

hyp^2 = leg1^2 + leg2^2

5^2 = x^2 + (x - 1)^2

25 = x^2 + x^2 - 2 x + 1^2

25 = 2 x^2 - 2 x + 1

2 x^2 - 2 x - 24 = 0

2 ( x^2 - x - 12) = 0

2 (x - 4) (x + 3) =0

then x = 4  or x = - 3

We use the positive answer since we are looking for a length

then longer leg is 4 inches long,

and therefore the shorter one is one inch shorter than 4 in . That is:

shorter leg = 3 inches

Answer:

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

Step-by-step explanation:

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:

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:

Step-by-step explanation:

she can type 22 words in 1 minute and it takes her .045 seconds to type 1 word

she can type 110 words in 5 minutes and 220 words in 10 minutes.

Answer:

See below

Step-by-step explanation:

Solving inequality:

3 of provided answers are correct:

If given correct, any combination of two can be shown as answer:

Answer:

-12 and -9

Step-by-step explanation:

I just answered the problem on a quiz

Answer:

No

Step-by-step explanation:

18:

multiply both sides

move the constants to the right

calculate

I added a picture if you need it. I hope this helps

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:

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

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.

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 would be b

Step-by-step explanation:

-.2 will cause reflection so eliminate a and c

if you do -1 than it will translate down so it has to be b

Answer:

f(x)= 0.2 (x - 2)^2 + 1

Step-by-step explanation:

I did the test.

Answer:

I'm pretty sure its 56 inches squared  

Answer:

[tex]y = - \frac{2}{3} x + 7[/tex]

You get this equation when you plug in the values to find out the y intercept.

The solution is ± √5

The value of the equation is given by x = ± √5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

x² = 5   be equation (1)

On simplifying the equation , we get

x² = 5

Taking the radical form , radical notation is the usage of a root in an expression, such as the square or cube root

So , taking square roots on both sides of the equation , we get

The value of x = ±√5

Therefore , the value of A is ±√5

Hence , The value of the equation is given by x = ± √5

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Answer:

f(x) = 2 + x^3

Step-by-step explanation:

The function f(x)=2+x^3 satisfies all the values given in the table.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the third option C we will check all the values of x in the function.

[tex]f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218[/tex]

Hence the function f(x)=2+x^3 satisfies all the values given in the table.

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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

Answer:

60/100 and .6

Step-by-step explanation:

Answer:

$5.60

Step-by-step explanation:

Each pound of strawberries costs $5.60.

To solve: $16.80 divided by 3

Answer: (0, 1) Usually, we put the solutions in parenthesis.

Step-by-step explanation: x(x+1) = x(2) which = x²+ x = 2x = x² + x - 2x = 0

x² - x = 0. Now we divide by x which = x(x - 1) = 0 and the new solution set is x = 0 and x -1 = 0 which equals x = 1

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: 1/44

Step-by-step explanation: