The function f(x) is shown in this graph the function g(x)=-6x+3

To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result

The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line

To find the slope of the curve at a given point

First differentiate the given equation of the curve with respect to x

That is dy / dx.

The derivative of the equation of the curve  is the slope of the curve.

In next step substitute the value of x in the slope of the curve

The result will be the slope of the curve at a given point

Therefore, these are the steps to find the slope of the curve

I have answered the question in general, as the given question is incomplete

The complete question is:

How to find the slope of a curve at a given point?

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The excluded values for the fraction will be;

⇒ y = 4 and - 8

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The fraction is,

⇒ (y + 5) / (y² + 4y - 32)

Now,

Since, We know that;

The excluded values of the fraction is find by equate the denominator zero.

So, we can formulate;

⇒ (y² + 4y - 32) = 0

⇒ y² + 4y - 32 = 0

By using factorization method, we get;

⇒ y² + (8 - 4)y - 32 = 0

⇒ y² + 8y - 4y - 32 = 0

⇒ y (y + 8) - 4 (y + 8) = 0

⇒ (y - 4) (y + 8) = 0

This gives two solutions as;

⇒ y - 4 = 0

⇒ y = 4

And, y + 8 =0

⇒ y = -8

Thus, The excluded values for the fraction will be;

⇒ y = 4 and - 8

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Answer:

8

Step-by-step explanation: because its even

The solution is ,if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.

Here, we have,

given that.

if it takes three people 4 hours to clean a warehouse

now, we have to find that  how long will it take 4 people to clean the warehouse.

i.e. we have,

3 people take to clean = 4 hours

let, 4 people will take to do it x hours.

now, we have,

3 people take to clean = 4 hours

so, 1 people take to clean = 4*3 hours

so, 4 people take to clean = 4*3 / 4 hours

i.e. we get,

x = 4*3 / 4 hours

or, x = 12/4 hours

       = 3 hours

Hence, if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.

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Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d

Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.

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Answer:

17

Step-by-step explanation:

14, 12, 12, 18 , 22 , 20, 17

Put the numbers in order from smallest to largest

12, 12, 14,17, 18 , 20 , 22

The median is the middle number

12, 12, 14,     17,      18 , 20 , 22

The middle number is 17

Answer:

y = -2/3x + 2

Step-by-step explanation:

Slope intercept form:

y = mx + b

2x + 3y = 6

3y = 6 - 2x

3y/3 = -2/3x + 6/3

y = -2/3x + 2

Answer:

1. Dot Plot

2, The histogram

The total savings that the couple Puan Yani and her husband have now is A) RM126,000.

The total savings of the couple can be determined by addition.

Addition is one of the four basic mathematical operations, including subtraction, divsion, and multiplication.

Let the amount that Puan Yani has in her savings account, a = RM24,700

Let the amount that her husband has than Puan Yani = RM75,300

The total amount that her husband has = a + 75,300

= RM100,000 (R24,700 + RM75,300)

The additional amount that Puan Yani deposited at the end of May = RM1,300

The total amount that Puan Yani has in her savings account at the end of May = RM26,000 (RM24,700 + RM1,300)

The total savings in the couple's accounts = RM126,000 (RM100,000 + RM26,000)

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Explanation:

Difference indicates subtraction:

The difference of a number and

9

is

(

x

−

9

)

Twice the difference means

2

(

x

−

9

)

We know that the answer to this is

2

, so as an equation:

2

(

x

−

9

)

=

2

If you solve it we would have:

x

−

9

=

1

←

÷

2

x

=

1

+

9

x

=

10

The difference between

10

and

9

is

1

and twice

1

is

2

.

The number is correct.

Note that written as:

The difference of twice a number and

9

would have a different expression. This would be

2

x

−

9

Did this help? if so leave a thanks!

Answer:

around 67 years

Step-by-step explanation:

hope this helps :)

Answer: I think that it is B

Step-by-step explanation:

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

163.35

Step-by-step explanation:

13.5 x 12.1 = 163.35

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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Answer:

The Last One (Yellow/0.3 Orange/0.4 Green/0.15 Purple/0.15)

Step-by-step explanation:

I just took the test and got it right :)

Answer:

Step-by-step explanation:

The 1st table is correct. I put the last choice as my answer and was incorrect.

The inequality that describes the possible value of x is

The triangles described gave the information to form the inequality equation

from the description it can be deduced that

m< bca = m< dce vertical angles

since side 12 is greater than 10 then m< bac > m< dec

therefore 50 > 5x - 10

solving for x

50 > 5x - 10

50 + 10 > 5x

60 > 5x

x < 12

therefore 2 < x < 12 is the inequality that represents x

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Answer:

0.042

Step-by-step explanation:

Answer:

840

Step-by-step explanation:

1cm=200m

200 × 4.2=x

840=4.2

Answer:

0.4636 radians

Step-by-step explanation:

To find theta in radians, we need to use the inverse tangent function, also known as arctangent. From the right triangle in the image, we have:

tangent(theta) = opposite/adjacent = 10/20 = 1/2

Taking the inverse tangent of both sides, we get:

theta = arctan(1/2)

Using a calculator or a trigonometric table, we find:

theta ≈ 0.4636 radians

Therefore, theta is approximately 0.4636 radians

We cannot calculate the radius of the orbit using the information provided.

(a) To calculate the distance travelled in one orbit, we need to use the formula that relates the circumference of a circle to its radius, which is given by C = 2πr.

Here, C represents the distance travelled in one orbit, and r is the radius of the orbit.π = 3.14159265..

Given the number of orbits made by the spacecraft is 58376. The distance travelled in one orbit is as follows;

C = 2πr= 2 x π x r= 2 x 3.14159265.. x r= 6.28318531rTherefore, the distance travelled in one orbit is 6.28318531r.

To calculate the distance travelled in one orbit, we need to know the radius of the orbit.(b) The distance travelled by the spacecraft is not given.

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When the height of the taller building is 500 metres above the ground and the angles of depression is at 12° and 25° , the  height of the smaller building is approximately 125.84 meters.

Find the height h of the smaller building using trigonometry

Let x and y be the distance between the two buildings and height of the observer in the taller building above the ground, respectively.

Then we have

\(tan(12^0) = h / (x + 500 - y)\)

\(tan(25^o) = h / (x + 500 + y)\)

Solve for h.

\(tan(12^o) * (x + 500 + y) = tan(25^o) * (x + 500 - y)\)

By expanding and rearranging, we have

\(x = (h/tan(25^o) - h/tan(12^o)) / 2\)

Substitute x into either of the original equations, we can solve for h:

\(h = (x + 500 - y) * tan(12^o)\)

Plug in the value of x

\(h = ((h/tan(25^o) - h/tan(12^o)) / 2 + 500 - y) * tan(12^o)\)

Multiply both sides by the common denominator of 2 * tan(12°)

\(2 * h * tan(12^o) = h * (1/tan(25^o) - 1/tan(12^o)) + (1000 - 2y) * tan(12^o)\\h = (1000 - 2y) * tan(12^o) / (2 * tan(12^o) - 1/tan(25^o) + 1/tan(12^o))\)

Plug in the given values of y = 500

h = 125.84 meters

Therefore, the height of the smaller building is approximately 125.84 meters.

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First, let us define the given properties

The x-intercept is the point at which the graph crosses the x-axis.

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis.

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it.

From the graph, we can see that the common properties are:

1. x-intercept

2. vertical asymptote.

Explanation:

f(x) and g(x) intercepts the x-axis at (-3,0)

f(x) and g(x) have a vertical asymptote at x = -4

Answer:

i. x-intercept

iii. vertical asymptote

Answer:

10240

Step-by-step explanation:

Answer:

\(S = \{1,2,3,4,5,6\}\)

Step-by-step explanation:

Given

Roll of a single die

Required

The sample space

On a single die, we have the following numbers: \(1,2,3,4,5,6\)

Each of these numbers represent possible outcomes.

So, the sample space is:

\(S = \{1,2,3,4,5,6\}\)

Lauren can add $30 each month to her savings account

Income made by Lauren from part-time job = $185

Money sent to Lauren by her parents = $120

Total income of Lauren  = Money from job+ money received from parents = 120+185 = $305

Let her total expenses be x

Substituting the values in the formula we get:

Sum of Lauren's paycheck + Money she gets from her parents = Total expenses+ 11% more than her total expenses

185 + 120 = x+11% of x

305=x+11/100*x

305 = 1.11x

x=274.77 or 275

Money she can add in her savings account each month = Total money received - Expenses = 305 - 275 = $30

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Answer:

\(\begin{aligned}SA &= 7.125\pi \text{ in}^2\\& \approx 22.4 \text{ in}^2 \end{aligned}\)

Step-by-step explanation:

We can find the Surface Area of the can by adding the areas of each of its parts:

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

First, we can calculate the area of the circular base:

\(A_{\text{circle}} = \pi r^2\)

\(A_{\text{base}} = \pi (0.75 \text{ in})^2\)

\(A_{\text{base}} = 0.5625\pi \text{ in}^2\)

Next, we can calculate the area of the rectangular side:

\(A_\text{rect} = l \cdot w\)

\(A_\text{side} = (4\text{ in}) \cdot C_\text{base}\)

Since the width of the side is the circumference of the base, we need to calculate that first.

\(C_\text{circle} = 2 \pi r\)

\(C_\text{base} = 2 \pi (0.75 \text{ in})\)

\(C_\text{base} = 1.5 \pi \text{ in}\)

Now, we can plug that back into the equation for the area of the side:

\(A_\text{side} = (4\text{ in}) (1.5\pi \text{ in})\)

\(A_\text{side} = 6\pi \text{ in}^2\)

Finally, we can solve for the surface area of the can by adding the area of each of its parts.

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

\(SA = 2(0.5625\pi \text{ in}^2) + 6\pi \text{ in}^2\)

\(\boxed{SA = 7.125\pi \text{ in}^2}\)

\(\boxed{SA \approx 22.4 \text{ in}^2}\)

Answer:

14 hostas and 12 geraniums

Answer:

5/8 as decimal is 0.625 and 62.5 percent

Step-by-step explanation:

Multiply 5 by 12.5 then divide by 100 and once you get the decimal multiply by 100.