Consider the following graph. List the ordered pairs corresponding to the points in the graph?

We have the following:

Since the sides are equal, it means that all the angles are equal, we also know that the sum of the 3 angles within a triangle is always 180°, therefore

The value of x is 12

Solution

For this case we can do the following:

Part a

we can select the points (0,0) and (2,10) and k is given by:

Part b

The equation is given by:

y= 8x

Part c

We can replace x= 16 in the equation and we got:

y= 8*16= 128 hours

We have to find all the different lunch choices that a student have, where one lunch consists of one sandwich, one snack, and one drink.

For doing so, we remember the multiplication principle. As for each option of sandwich, we have _ options for the snacks, and for each snack we have _ options of drinks, we just have to multiply each one of the values. In this case,

We have to use the change-of-base formula of logarithms to simply write this log.

The logarithm to convert is:

The change of base formula (using natural logarithms) is:

Matching this with the logarithm, we can write it as:

ANSWER:

(0.356, 0.482)

STEP-BY-STEP EXPLANATION:

The first thing is to calculate the proportion with the data of the statement:

For a 90% confidence interval, we have that the value of Z is the following:

We calculate the interval as follows:

The 90% confidence interval for the proportion of all adults in the United States is (0.356, 0.482)

In order to find the scale factor between the triangles, we can compare the sides PR and PT, which are corresponding sides between the triangles.

The side PR has a length of 27 units, and the side PT has a length of 9 units, so we can find the scale factor by dividing one length by the other:

Now that we have the scale factor, we can find the length of PS by comparing it with the corresponding side PQ:

If the length of PS is 8 units and S is above the x-axis to the right, its coordinates will be (8, 0).

Answer:

Step-by-step explanation:

Let p be the potato chips

Let s be the two-liter sodas

Then, if Great Foods Grocery Store is selling 2 bags of potato chips for $6.50 and 5 two-liter sodas for $3.00:

For Best Foods Grocery Store:

2 bags of potato chips for $5.00 and 3 two-liter sodas for $2.00.

A relationship is said to be transitive, if

a R b, b R c, then → a R c.

Test the given options

For the first option, if x = 2y and 2y = 8, then for transitive relationship,

the first option is not correct because x ≠ 4

For the second option, If a Il b and b || c, then a || c

Looking at the second option, there is a relationship of parallelism between a, b and c, therefore, this is a transitive relationship

For the third option

If m ⊥ n and m ⊥ p, then m ∥​ p.

The statement from the point of view of transitive relationship is incorrect

it should be, n ⊥ p.

The given equation is a linear equation and its standard form is [tex]3x-4y=12[/tex].

The given equation is -

[tex]\frac{x}{4}-\frac{y}{3}=1[/tex] ---- (1)

We have to determine if the given equation is a linear equation. If it is a linear equation, then we have to write it in standard form.

A linear equation is referred to as the equation of a straight line.

A linear equation with two variables can be written in the standard form as

[tex]ax+by=c[/tex]

where a, b, c are constants

and, x, y are variables

So, from equation (1), we can say that -

The equation [tex]\frac{x}{4}-\frac{y}{3}=1[/tex] is a linear equation.

Identifying the equation in standard form, we have

[tex]\frac{x}{4}-\frac{y}{3}=1\\= > \frac{3x-4y}{12}=1\\ = > 3x-4y=12[/tex]

Hence, the standard form of the given linear equation is [tex]3x-4y=12[/tex].

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Answer:

[tex]3x {}^{2} - 1[/tex]

Step-by-step explanation:

(1-(-1)×2) x² - 1

When there is a - in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses.

(1+1x2)x2-1

Any expression multiplied by 1 remains the same

(1+2) x²-1

Add the numbers

3x2-1

To answer this question let's look at each line first.

The slant line can be express by the equation:

We notice that the shaded part is above this line, then we have that that inequality is written as:

Now, the horizontal line is express as:

since the shaded region is below that line and the line is dashed the inequality is:

Therefore, the system of inequalities is:

The Solution:

Given the expression below:

We are asked to simplified in radical form.

Let's find the factors of 112.

So,

Thus,

Therefore, the correct answer is

Given data:

The coordinate of first vertex is J(1, 4).

The coordinate of second vertex is K(5, 3).

The coordinate of third vertex is L(6,-3).

Assume the coordinate of M is (x, y).

The diagonal of the parallelogram intersect at the mid point, the mid point of the diagonal JL is,

This is also the mid point of KM diagonal.

Thus, the coordinate of M is (2, -2).

You need to remember the following:

- The Product of powers property states that:

- According to the Negative exponent rule:

Given the following expression:

You can simplify it as following:

1. Multiply the coefficients.

2. Apply the Product of powers property.

3. Apply the Negative exponent rule.

Then, you get:

The answer is:

equationWhich equation is nonlinear?

x=-4

y= 0

y= 2/3x- 2

y= ײ +1​

__________________

Linear eqaution form

y = mx +b

x=-4 (Line)

y= 0 (lineon the axis)

y= 2/3x- 2 (This is a linear equation )

_____________________

Answer

y= ײ +1​

We can draw the following picture:

From the angle-arc relationships, since the vertex is at the center of the circle, then the arc is equal to 175 degrees.

In radians, 175 degrees is equivalent to

that is

What is the radian measure of this angle? 3.054 radians

The arc-lengh S is given by

where, r=3.9cm and theta is equal to 3.054 rad (which is 175 degrees but in this formula the number must be written in radians). By sustituting these value, we have

What is the length (in cm) of the arc subtended by the angle's rays along the circle? 11.91 cm

Suppose θ represents the varying degree measure of the angle. Write an expression that represents the length (in cm) of the arc subtended by the angle's rays along the circle.

We wrote the formula above:

where s is the arc-lenght, r is the radius and theta is the angle (in radians).

Answer:

• m=-2, b=-3

• m=-2, b=2

Explanation:

The slope-intercept form of the equation of a line is:

Part A

Given the equation:

• The slope, m = -2

• The y-intercept, b=-3

Part B

Given the equation:

• The slope, m = -2

• The y-intercept, b=2

SOLUTION:

The correct answer is;

If b = 1.06, the weekly growth rate of the share's value is 6%

Answer:

The answer that describes the pattern in this sequence is;

Explanation:

Given the sequence;

The sequence shows a Geometric Progression.

The common ratio of the sequence would be;

Therefore, the answer that describes the pattern in this sequence is;

Given:

The horizontal and vertical line psses through the point (5,8).

To find:

Find the equation of vertical and horizontal line passing through the given point.

Equation of vertical line:

Equation of horizontal line:

First, let's calculate the value of cos 2pi/3:

Now, let's calculate the value of each option:

Therefore the correct options are B and D.

The variable I=f(w) represents the number of individuals (in thousands) infected w weeks after the epidemic begins.

The value of I=f(2) represents the number of individuals in thousandas infected 2 weeks after the beginning of the epidemic.

From the graph, where I=8, we can conclude that there are 8,000 infected people after 2 weeks of the beginning of the epidemic.

Answer:

f(2) = 8

Means 8,000 people are infected after 2 weeks of the beginning of the epidemic.

Answer:

We have the following:

the equation of a line into slope-intercep form is:

now,

therefore, the answer is:

The absolute value function :

has a vertex at (h, k) and it opens upward if the sign before the absolute value sign is positive. It open downward if the sign is negative.

From the problem, we have :

The vertex will be (9, 16)

x intercept is the value of x when f(x) = 0.

Set f(x) = 0 and solve the value of x.

In solving absolute values, you will get two values, one for the positive and one for the negative.

The x-intercepts are (-7, 0) and (25, 0)

y-intercept is the value of f(x) when x = 0.

Set x = 0, and evaluate f(x)

The y-intercept is (0, 7)

The sign before the absolute value sign is negative, so it opens downward

By definition, the Positive numbers are those numbers greater than zero and Negative numbers are those numbers less than zero.

Therefore, you know that the Positive numbers are greater than the Negative numbers.

For this exercise it is also important to remember that the Absolute value of a number tells you its distance from zero on the Number line. The Absolute value of a number is always positive.

Knowing the above, you can set up that:

Remember that this symbol means "Less than":

The answer is:

EXPLANATION:

Given;

We are given the following equation;

Required;

We are required to describe two methods which can be used to solve for x in this equation.

Step-by-step solution;

We can solve for the variable x by taking the natural log of both sides of the equation. This is shown below;

We take the natural log of both sides;

Next we apply the log rule;

Therefore, our equation is now refined and becomes;

Divide both sides by ln(1.12);

A second method is to express it as a logarithmic equation;

We shall apply the log rule which is;

For example;

Therefore, for the equation given;

Note that both solutions can be simplified eventually with the use of a calculator.

ANSWER:

(1) By taking the natural log of both sides

(2) By expressing the equation as a logarithmic equation