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3 years ago

Please help we’ve been stuck in this for a while

Mathematics

1 answer:

In-s [12.5K]3 years ago

6 0

If you plug in 5 for x, the radical ends up being (5-1) which is 4. The square root of 4 is 2, and the plus/minus symbol means the possible answers are 2 OR -2. When you plug in 1 for x the radical becomes (1-1) or zero. The square root of 0 is zero, and plus/minus zero are the same. This IS NOT a function because for x=10 and x=5, there are TWO DIFFERENT y values (each “x” can only have one y in a function)

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I need help with this

Monica [59]

Using derivatives, it is found that regarding the tangent line to the function, we have that:

The slope is of 962.

The equation of the line is y = 962x - 5119.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

f(x) = 5x³ + 2x + 1.

The derivative is given by:

f'(x) = 15x² + 2.

Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

f(8) = 5(8)³ + 2(8) + 1 = 2577.

Hence:

y = 962x + b

2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

More can be learned about tangent lines at brainly.com/question/8174665

#SPJ1

7 0

2 years ago

Which is the correct algebraic expression after combining like terms?

Free_Kalibri [48]

Answer:

b) 3cd+3 1/3c-3d

Step-by-step explanation:

It can work well to factor the variables out so you can see the coefficients more easily:

6cd+3c-7d-3cd+4d+1/3c

= (6 -3)cd +(3 +1/3)c +(-7 +4)d

= 3cd +(3 1/3)c -3d

7 0

3 years ago

Read 2 more answers

Rose is drawing a portrait for her art class. She is using a sheet of paper what is 6 inches wide and 12 inches long. What is th

rosijanka [135]

Answer:

0.5 ft^2

Step-by-step explanation:

The area in square inches is (6 in )(12 in) = 72 in^2.

Recall that 1 ft^2 = 144 in^2.

Then

72 in^2 1 ft^2

--------------- * --------------- = 0.5 ft^2

1 144 in^2

6 0

3 years ago

A woman bought some large frames for $18 each and some small frames for $8 each at a closeout sale. If she bought 21 frames fo

IrinaVladis [17]

Answer:

8 large frames and 13 small frames

Step-by-step explanation:

Given:
$18 each = large frames

$8 each = small frames

To Find:

⇒ Bought 21 frames for $248, find how many of each type she bought

Solve:

1 Large frame costs = 18 $

Therefore, x large frames costs = 18x $

{where x is the number of large frames she bought}

1 Small frame costs = 8 $

Therefore, x Small frames costs = 8y $

{where y is the number of small frames she bought}

By the given condition :

18x + 8y = 248 {equation 1}

x + y = 21 {equation 2}

Solve these equations simultaneously, from second equation we get :

x = 21- y

18⋅(21−y)+8y= 248

378 - 18y+8y = 248

-10y = -130

y = 13

Put y = 13 in eq x = 21- y

x = 21 - y

x = 21 - 13

x = 8

So the woman bought 8 large frames and 13 small frames.

~lenvy~

5 0

2 years ago

Evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2

steposvetlana [31]

Answer:

5. is the answer

Step-by-step explanation:

5 0

2 years ago