what is the value of f(-1)

The formula to calculate the distance between two points is given by

In this problem, we have the coordinates

(4, -1) and (9, 7)

substitute in the formula

The value of x is 6.2

Here, we want to find the value of x

To do this, we use the theorem of intersecting chords

By this theorem, the products of the two sides of two chords which intersects are the same

Mathematically, we have this as follows;

Okay, here we have this:

Considering the provided information, we are going to calculate the requested interval, so we obtain the following:

Then we will assume that the unknown number is x:

-26<2x-2<30

-26+2<2x<30+2

-24<2x<32

-24/2-12(-12, 16)

Finally we obtain that the interval solution is (-12, 16).

When we have a polynomial, the amount of solutions for a polynomial is given by its degree, and the degree of the polynomial is given by the biggest exponent in the polynomial. Our polynomial is

The biggest exponent is 2, therefore this is a 2nd degree polynomial. This means this polynomial has 2 solutions.

GIVEN

Four expressions in terms of x and y where

SOLUTION

Expression 1:

Substitute x = 6 into the expression:

Expression 2:

Substitute for x and y into the expression:

Follow the same pattern for the other two expressions:

ANSWER

Step 1:

Let us write out the proportion question,

Step 2:

Cross multiply,

Step 3:

Divide both sides by 10

Hence, x= 1.5.

,We have the next expression

First we will multiplicate the sign minus with the trinomial (5x^2 – 7x - 5 )

then we can sum like terms and we obtain the solution

The given information is:

n=1086

x=571

Confidence level 99%

First, we need to find the sample proportion. It is given by the formula:

By replacing the known values, we obtain:

Now, the confidence interval is given by:

Where z* is the z-value for the confidence level. As the C.L=99%, then z is:

Now, replace this value into the formula and solve:

The confidence interval is then:

The answer is above.

k is the midpoint of JL

KL= 7n+ 10

JL= 76

Since k is the midpoint, then;

JK = KL = 7n + 10

Also

JL = JK + kL

76 = (7n + 10) + (7n+10)

76 = 7n + 10 + 7n + 10

76 = 14n + 20

subtract 20 from both-side of the equation

76 - 20 = 14n

56 = 14n

divide both-side of the equation by 14

56/14 = n

4 = n

n = 4

JK= 7n + 10 = 7(4) + 10 = 28 + 10 = 38

KL=JK=38

KL=38

The x-intercept of a line is the value of x when the line crosses the x-axis. This happens when y = 0. Thus, the x-intercept can be found by making y = 0 in the given equation:

2x + 4y = 12.4, y = 0

2x = 12.4

x = 12.4/2

x = 6.2

The y-intercept, similarly, is the value of y when the line crosses the y-axis. This happens when x = 0. Thus, the y-intercept is given by:

2x + 4y = 12.4, x = 0

4y = 12.4

y = 12.4/4

y = 3.1

Therefore, the answer is:

x-intercept = 6.2

y-intercept = 3.1

Let the coordinates of the focus(-3, 0) be:

x₁ = -3, y₁ = 0

Let the coordinates of the focus(3, 0) be:

x₂ = 3, y ₂ = 0

Let the coordinates of point(7, 0) be:

x₃ = 7, y₃ = 0

Let the distance between the Focus(-3, 0) and (7, 0) be d₁

Let the distance between the Focus (3, 0) and (7, 0) be d₂

Given,

The expression is,

Simplyfying the expression,

Hence, the value of X is 3.

July has 31 days, so starting from July 8, 2018 up to August 8, 2018, is 31 days.

After than from August 08, 2018 up to August 21, 2018 is 13 days.

Add them together, that puts it at 31 + 13 = 44 days.

Therefore, the time in days from July 8, 2018 to August 21, 2018 is 44 days.

Given the equation:

We will find the value of (x) as follows:

a) subtract 5 from both sides

b) Divide both sides by 4

c) Taking the exponential of both sides to remove ln

Finally, divide both sides by 5

So, the answer will be x = 0.09447

One positive angle:

One negative angle:

The person that paid the highest price per ticket is A.

From the information, the following can be deduced:

Person A price per ticket

= Total price / Number of ticket

= 191 / 3

= $63.7 per ticket

Person B price per ticket

= Total price / Number of ticket

= 309/5

= $61.8 per ticket

Person C price per ticket

= Total price / Number of ticket

= 435/8

= $54.4 per ticket

In this case, A paid the highest price based on the calculation above.

Learn more about price on:

brainly.com/question/1153322

#SPJ1

Answer: A

Step-by-step explanation:

Khan

1. we will first draw a non isosceles trapezoid with ABIICD , then

we can use cross-multiplication

where x is the measure we need

so, the measure is 0.2 in

In order to solve this inequality, let's put all terms with x on the same side of the inequality, add the like terms and divide both sides by the coefficient of x.

So we have:

Therefore the solution is x >= 8/13

SOLUTION:

Case: Simple interest

Method:

P= $5100

R= 6.5% or 0.065 annual rate

T= 365 days.

1. The formula for simple Interest is:

Therefore:

The Interest, I= $331.50

2. The Amount, A

The Amount A= $5431.50

initial stamps = 12

Stamps bought per month = 75

number of moths = x

So the expression for the total number of stamps(y)

y =12+75x

To have 200 stamps replace y by 200 and solve for x (months)

200 = 12+75x

200-12 = 75x

188 =75x

188/75 =x

2.5 = months

2.5 months (2 and a half)

Answer

a) Option A

y = 2x + 10

Option B

y = 3x

b) Option A is represented with the red line and Option B is represented by the blue line.

Total Cost is presented on the y-axis and the Number of rides is presented on the x-axis.

The graph is presented below.

From this graph, we can see that the two lines cross at (10, 30)

So, the two options will have the same rides and the same total cost when

x = 10 rides

y = 30 dollars

Explanation

There are two options to consider,

Let the amount to be paid be y

Let the number of rides be x

Option A

Each ride costs $2

x rides will cost 2x dollars

Activation fee = 10 dollars

Total cost = y

y = 2x + 10

Option B

Each ride costs $3

x rides will cost 3x dollars

Activation fee = 0

Total cost = y

y = 3x

So, we end up with a system of equation for when the number of rides and the total cost for both options become the same

y = 2x + 10

y = 3x

b) We are asked to solve this system of equations by graphing.

To do this, we will first plot the two lines for each equation, then the solution will be where the two lines cross each other.

We will use intercepts to plot the first line

y = 2x + 10

when x = 0,

y = 2x + 10

y = 2(0) + 10

y = 0 + 10

y = 10

First point on this line is (0, 10)

when y = 0

y = 2x + 10

0 = 2x + 10

-2x = 10

Divide both sides by -2

(-2x/2) = (10/-2)

x = -5

Second point on the line is (-5, 0)

For the second option

y = 3x

when x = 0

y = 3x

y = 3(0)

y = 0

First point on this line is (0, 0)

when x = 1

y = 3x

y = 3(1) = 3

Second point on the line is (1, 3)

We will now plot each of the lines by connecting each of the two points obtained for each line.

Hope this Helps!!!

The general slope-intercept form of a linear equation is:

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

You have a linear equation parallel to:

That means that both equations have the same slope

m= - 1/2

If the equation passes through (-4 , -1) we can use that point to find the value of the b in the slope-intercept form:

(-4 , -1) x= - 4 y= - 1

We clear the b:

Then you know the values of

m=-1/2

b=-3

The equation in slope-intercept form is:

To graph a linear equation you need two point, as you have (-4, -1) and the point of the y-intercept that is (0,b) = (0,-3)

You put in the plane the two points:

And you draw a line that link the two points to get the final graph:

We have the function y=8^x. This is an exponential function.

The domain is the set of values of x for which the functions is defined. We have no restriction for the values of x because y is defined for all real values of x, so the domain is:

The range is the set of values of y for the domain for which the function is defined.

We know that y will not take negative values: any value of x as input will give us a positive value of y, so the range can be defined as:

The y-intercept is the value of y when the function intersects the y-axis. This happens when x=0. Then, the y-intercept is:

We know that there are no vertical assymptotes, because there is no singularity in the function (the function is defined for all real numbers), so we will look for horizontal assymptotes:

As we have a finite number for the second limit, we have an assymptote at y=0.

We can see if the function is increasing or decreasing by comparing:

As the function value increases with the increase of x, we know that the function is increasing for all the values of the domain.

We can graph the function as:

Answer:

Domain: D: {x | all real numbers}

Range: R: {y | y>0}

Y-intercept: y(0) = 1

Assymptote: y=0

The function is increasing for all values of x.

Answer

The GDP of Whoville is $2990 billion

Step-by-step explanation:

The formula for calculating GDP is given as

GDP = C + G + I + NX

Where, C = all private consumption

G = All government spending

I = Investment by businesses

NX = The country's net export

The net export = total export - total import

Total export = $9 billion

Total import = $28 billion

The net export = ($9 - $28) billion

The net export = - $19 billion

GDP = [($1945 + $1022 + $42 + (- $19)] billion

GDP = ($1945 + $1022 + $42 - $19)

GDP = $2990 billion

Hence, the GDP of Whoville is $2990 billion

We can find the answer using the rule of three:

If US$1 is equal to C$1.5777, then US$500 US dollar is equal to:

$1 US dollar ----------- $1.5777 CAD dollar

$500 US dollar ---------- x CAD dollar

Where x= ($500 US dollars * $1.5777 CAD dollars) / $1 US dollar

x = $788.85 CAD dollars

She will get $788.85 CAD dollars

EXPLANATION:

The correct equation is the one formulated below since we can see that two of its sides have the same measure, therefore, looking at the coordinates well, we have the following formula.

EQUATION:

A scatter plot shows the correlation between 2 variables.

If the correlation is positive, the variables move in the same direction.

If the correlation is negative, the variables move in opposite direction.

To answer this question, observe the image below:

As can be observed, when driver age increases, the distance decreases.

So, the correlation is negative.

Answer: B) negative.

There are 7 cans of food. Each can contains 9 grams of food.

How much is the total food (in grams)