The figure above shows the graph of f ', the derivative of a twice-differentiable function f, on the interval
[–3, 4]. Answer the following questions based on the graph of f ′.
a) Find all x-coordinates at which f has critical values and identify them as a relative minimum,
relative maximum, or neither. Justify your answer.
b) On what open intervals contained in [–3, 4] is the graph of f both concave up and decreasing?
Justify your answer.
c) Find the x-coordinates of all points of inflection on the graph of f

The domain of the graphed relation is:

D : {-9, -7, -5, -2, 1, 3}

For a relation y = f(x), we define the domain as the set of the possible inputs, this is, the possible values of x.

On the graph we can see some points (x, y) graphed, where x is the value on the horizontal axis.

We can see that the graphed points are:

(-9, -4)

(-7, -6)

(-5, -4)

(-2, 2)

(1, 4)

(3, 1)

The domain is the set of the first values of each point, so the domain is:

D : {-9, -7, -5, -2, 1, 3}

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The system of equations is solved and the amount of 45 % copper is 34.74 pounds and the amount of 64 % copper alloy is 20.26 pounds

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 total amount of the third alloy = 55 pounds

So , the amount the 45 % of copper alloy = x

And , the amount of 64 % of copper alloy = ( 55 - x )

The percentage of amount of alloys is given by the equation ,

( 45/100 )x + ( 64/100 ) ( 55 - x ) = ( 52/100 ) 55

On simplifying the equation , we get

0.45x + 0.64 ( 55 - x ) = 0.52 ( 55 )

0.45x + 35.2 - 0.64x = 28.6

Subtracting 35.2 on both sides of the equation , we get

-0.19x = -6.6

Divide by 0.19 on both sides of the equation , we get

x = 34.736

x ≈ 34.74 pounds

Hence , the amount of 45 % of copper alloy is 34.74 pounds and the amount of 64 % copper alloy is 20.26 pounds

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Answer:

14=90

Step-by-step explanation:

You're on the right track with writing the measure of MK = angle N. To figure out angle N we can use the right angle sign right next to it (at LNK). We know that line JK is a straight line meaning it's angle = 180. Therefore, if LNK is 90 degrees, then N also has to be 90 degrees because 90+90=180. From there we know that the measure of MK = 90 due to MK and N being vertical angles.

I unfortunately can't help you with 16, but I hope I was able to help with 14

1 out of 33 (1/33) is the answer.

The slope - intercept form of the equation that relates the number of people and the cost of entering the museum is y = 8x + 4

The slope - intercept form is:

y = mx + b

Where:

m = slope or the cost per person

b = y - intercept or the residual cost

The cost per person to enter the museum is:

= Difference between cost of three people and two people

= 28 - 20

= $ 8

The residual is:

= Total cost for two people - Cost of two people

= 20 - ( 8 x 2 )

= $ 4

The slope intercept form of the relationship between the number of people and the cost of entering the museum is therefore:

y = 8x + 4

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Answer:

for part (a) you will have about 28 dots for 10 squares.

part (b) its a 4x4 square with 16 square.

Answer: The numbers which can be expressed as a ratio of two integers where the  denominator is not equal to zero

Step-by-step explanation:

Rational numbers are expressed in the form of  where . 'q' is the denominator in the above fraction.

The fractional form which is terminating or non-terminating recurring are considered as rational numbers.

The numbers 'p' and 'q' are the integers.

Integers are defined as number which is a proper number and not a fraction or decimal. All negative whole numbers are considered as integers.

Some Examples of Rational numbers:   is a terminating fraction.  is a non-terminating recurring fraction

Hence, the numbers which can be expressed as a ratio of two integers where the  denominator is not equal to zero

Step-by-step explanation:

Answer:

the fundamental properties of a rectangle are

-A rectangle is a quadrilateral.

-The opposite sides are parallel and equal to each other.

-Each interior angle is equal to 90 degrees.

-The sum of all the interior angles is equal to 360 degrees.

-The diagonals bisect each other.

Both the diagonals have the same length.

The values of x for which the above expression can become rational is -

[5, 14, 25]

We must convert a given number to decimal form in order to determine whether it is rational or irrational. If the decimal has repeated decimal patterns and is ending or nonterminating, the number is rational.

If not, it is illogical. However, if we look at the example of 5 = 2.2360679774997896409173..., we can see that it is non-terminating and lacks repeated decimal patterns. It is therefore an irrational number. Checking whether a number is a natural number, a whole number, an integer, or a fraction of integers is another method of determining whether it is rational. It is a rational number if it fits into one of these categories.

Given the expression is √x+11,

√a It cannot be expressed in the form of a ratio, So, it is an irrational number.

The value of x has to be something which upon adding 11, gives perfect square root, in order to become rational number.

So, the number that can have possible values is x ≥ 5; √x+11 = perfect square root.

The values of x for which the above expression can become rational is -

[5, 14, 25]

The value will be - √5 + 11 = √16 = 4

The value will be - √14 + 11 = √25 = 5

The value will be - √25 + 11 = √36 = 6

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Answer:2.64

Step-by-step explanation:10.56 divided by 4=2.64

Answer:

it's b for sure young man

Answer:

g(x) = -1x + 11

Step-by-step explanation:

Parallel equations have the same slope.

G(x) is the same as y.

Step 1:

y = mx + b

y = -1x + b

Step 2:

Substitute (10,1) in the equation

1 = -1(10) + b

now solve for b.

Step 3:

1 = -10 + b

+10 +10

1 = b

Step 4:

check

y = -1(10) + 11

y = -10 + 11

y = 1

Answer:

Answer:5%

Step-by-step explanation:

The value of {h} is equivalent to 6/5.

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

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given is the function as follows -

(1/5) + h = (7/5)

We can write the function as -

(1/5) + h = (7/5)

h = 7/5 - 1/5

h = (7 - 1)/5

h = 6/5

Therefore, the value of {h} is equivalent to 6/5.

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Step-by-step explanation:

Looks like the whole equation was

[tex]y = 2.5x + 3[/tex]

So it's asking to choose a random x value, well choose 2 I guess. You'll plug that in where X is

[tex]y = 2.5(2) + 3[/tex]

Now after we work this out, Y should equal 8 because that's the Y value right below 2 on the table. If it equals 8, then the equation is correct.

[tex]2.5 \times 2 = 5[/tex]

[tex]5 + 3 = 8[/tex]

Since it equaled 8, the equation has been confirmed to be correct

Step-by-step explanation:

y=2.5×2 +3

y=5.0+3

y=eight

Both parts of this question use the fact the angles opposite congruent sides in a triangle are congruent.

Part (a)

[tex]m\angle Q=\frac{180^{\circ}-40^{\circ}}{2}=70^{\circ}[/tex]

Part (b)

The triangle is equilateral, so [tex]m\angle M=60^{\circ}[/tex].

The radical expression when written as an exponential expression is; 15  1/2

Radicand: The value or expression contained inside the radical symbol.An equation that uses radical expressions as radicands and contains variables is referred to as a radical equation.

A superscript number will be present in the 'V'-shaped portion of the symbol when the radical symbol is used to represent any root other than a square root.For instance, 3(8) denotes the cube root of 8.use the Product Property to imply a radical phrase.A perfect power of the index has the largest factor in the radicand.

The radical expression when written as an exponential expression is;

15  1/2

According to the law of indices, the square root of.A number is equal to that amount raised by a factor of two.

On this note, The radical expression √15 given can be written as an exponential expression to give; 15^1/2.

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Answer:

Ashley

Step-by-step explanation:

Lets understand the conditions.

Carlos < Ashley  < Brianna

David < Carlos

Clearly, this tells us that David < Carlos < Ashley < Brianna, meaning the order is

David, Carlos, Ashley, Brianna

Since Ashley was interviewed third, she is the first year student

Cheers

Answer:

the slope is 2

Step-by-step explanation:

slope of line = (y2-y1/x2-x1)

-7-5/0-6

-12/-6

2

The product of the polynomial [tex]\frac{6(x^{2} -1)(6x - 1)}{8(x+1)}[/tex] is [tex]\frac{18x^{2} - 21x + 3}{4}[/tex].

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial. Using Descartes' Rule of Signs, the degree is used to calculate the greatest number of polynomial problem solutions.

The Polynomials is [tex]\frac{6(x^{2} -1)(6x - 1)}{8(x+1)}[/tex]

Simpliest form of the polynomial

[tex]\frac{6(x+1)(x-1)(6x - 1)}{8(x+1)} = \frac{6(x-1)(6x- 1)}{8} = \frac{3(6x^{2} -7x + 1)}{4} = \frac{18x^{2} - 21x + 3}{4}[/tex]

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A curved line represents the graph of a non-linear function. A curved line is one whose direction changes over time.

Linear refers to straight, and a graph is a figure that depicts the relationship between two or more quantities. So, the simplest definition of a linear graph is a straight line or straight graph constructed on a plane to connect two points with x and y coordinates.

The two-variable linear equation 3x - 7y = 16 has three variables. Instance For the equation 2x + y = 8, Mike must create a linear graph. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, draw a horizontal line using a ruler. Look at the value on the -axis. Examining the information on the graph's plot can help you distinguish between a linear and a quadratic graph.

Therefore the correct answer is Y=2/5x- 3 .

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Answer: 82

Step-by-step explanation:

The y-intercept of the equation is 5.

What are intercepts?

A point on the y-axis known as an intercept is where the line's slope passes.

X-intercept and Y-intercept are the two main intercepts. The line's x-intercept and y-intercept are located where the line crosses the x and y axes, respectively.

We are given two points (2, 11) and (3, 14).

First, we need to form the equation.

General form of a point slope form of equation is y-y₁=m(x-x₁)

Here, y₁= 11 and x₁= 2, y₂= 14 and x₂=3

Now, m = (y₂ - y₁) / (x₂ - x₁)

⇒m = (14 - 11) / (3 - 2)

⇒m = 3

Thus, we get the equation as y-11 = 3(x-2)

In order to find the y-intercept, we need to put x=0

So,

⇒y-11 = 3(0-2)

⇒y = -6 + 11

⇒y = 5

Hence, the y-intercept of the equation is 5.

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The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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WXYZ is a parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

here, we have,

The slope of both sides is needed in order to determine whether they are parallel

The slope of a line connecting two points is just the change in y over change in x.

so, we get,

WX

m_1 = (1 - 5)/(-2 -1)

m_1 = -4/-3

m_1 = 4/3

and,

YZ

m_2 = (2 +2)/(1+2 )

m_2 = 4/3

m_2 = m_1

The sides are parallel.

Hence, WXYZ is a parallelogram.

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