Line A y= 2x + 3 is parallel to another line B, what is the slope of the line B?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Since the lines are parallel, then the slope of line B would be the same as line A.

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At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be pi/3 radians. How tall is the building?
Solve this system of linear equations. Separatthe x- and y-values with a comma.9x - 10y = -343x - 4y = -16
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Solve the following system by elimination x - 4y= 2 and 4x - 16y = 8

the length of this prism is multiplied by a scale factor of 1/2 to create rectangular prism B the volume of rectangular prism B is and I need work to

Answers

we know that

[volume of rectangular prism]=L*W*h
L= 6 in prism A
volume of rectangular prism A=6*w*h

L=6*(1/2)------> L=3 in prism B

volume of rectangular prism B=3*w*h
so
volume of rectangular prism B=[volume of rectangular prism A]/2

the answer is
Volume of B is 1/2 volume of A

By how much does the dependent variable change in response to a change of 1 unit of the independent variable?Independent 2 4 6 8
Dependent 15 25 35 45
Select one or more:
A. 1
B. 2
C. 5
D. 10

Answers

Answer: C) 5

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x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

-------------------

An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 <---- leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

Answer:

c) 5

Step-by-step explanation:

Finding second Derivatives In Exercise,find the second derivate.
f(x) = 5e - x - 2e - 5x

Answers

Answer: The second derivative would be

$f''(x)=5e^(-x)-50e^(-5x)$

Step-by-step explanation:

Since we have given that

$f(x)=5e^(-x)-2e^(-5x)$

We will find the first derivative w.r.t. 'x'.

So, it becomes,

$f'(x)=-5e^(-x)+10e^(-5x)$

Then, we will find the second derivative w.r.t 'x'. $f''(x)=5e^(-x)+10* -5e^(-5x)\n\nf''(x)=5e^(-x)-50e^(-5x)$

Hence, the second derivative would be

$f''(x)=5e^(-x)-50e^(-5x)$

Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. ln(x^2+1)

Answers

Answer:

The minimum value of the given function is f(0) = 0

Step-by-step explanation:

Explanation:-

Extreme value :- f(a, b) is said to be an extreme value of given function 'f' , if it is a maximum or minimum value.

i) the necessary and sufficient condition for f(x) to have a maximum or minimum at given point.

ii) find first derivative $f^(l) (x)$ and equating zero

iii) solve and find 'x' values

iv) Find second derivative $f^(ll)(x) >0$ then find the minimum value at x=a

v) Find second derivative $f^(ll)(x) <0$ then find the maximum value at x=a

Problem:-

Given function is f(x) = log ( x^2 +1)

step1:- find first derivative $f^(l) (x)$ and equating zero

$f^(l)(x) = (1)/(x^2+1) (d)/(dx)(x^2+1)$

$f^(l)(x) = (1)/(x^2+1) (2x)$ ……………(1)

$f^(l)(x) = (1)/(x^2+1) (2x)=0$

the point is x=0

step2:-

Again differentiating with respective to 'x', we get

$f^(ll)(x)=(x^2+1(2)-2x(2x))/((x^2+1)^2)$

on simplification , we get

$f^(ll)(x) = (-2x^2+2)/((x^2+1)^2)$

put x= 0 we get $f^(ll)(0) = (2)/((1)^2)$ > 0

$f^(ll)(x) >0$ then find the minimum value at x=0

Final answer:-

The minimum value of the given function is f(0) = 0

Write the slope-intercept form of the equation : a) 4x-2y = 3

Answers

Answer:

$y = 2x - (3)/(2)$

Step-by-step explanation:

slope-intercept form: y = mx + b

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtraction

First, subtract 4x from both sides of the equation:

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

-2y = -4x + 3

Next, divide -2 from both sides of the equations:

$((-2y))/(-2) = ((-4x + 3))/(-2)$

$y = (-4)/(-2)x + (3)/(-2)$

$y = 2x - (3)/(2)$

$y = 2x - (3)/(2)$ is your answer.

On a number line what nomber is 3 units to the left of 3

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 0. The number is 3 and you move 3 units to the left which is toward the negative numbers sides below zero which equals the answer as 0. [3-3=0.]

hope this helps,have a great day!!

~Pinky~

Step-by-step explanation:

7On a number line what nomber is 3 units to the left of 3

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