the function f is defined by f(x) = 3x-7/8.
(1) Evaluate f(-2) and f(2 5/6).
(2) final the value of x for which f(x)=5

The required, Pair 1 and Pair 3 are pairs of congruent polygons. Option D is correct.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
"Congruent shapes have both the same size and the same shape.

In Pair 1, there are two polygons that have identical sizes and shapes, meaning they are congruent.

In Pair 2, there are two polygons that are not the same size and the length of the "stick" in one figure is longer than the corresponding length in the second figure.

In Pair 3, there are two polygons that have identical sizes and shapes, making them congruent.

In Pair 4, there are two polygons that have the same shape, but the first green figure is larger than the second red figure, indicating that they are not congruent."

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Step-by-step explanation:

x

x+2

x+4

x+6

x+8

these are the 5 consecutive odd integers.

when starting with an odd number as x, with every added 2 we get again an odd number.

the sum of the last 3 integers is 3 more than the sum of the 2 greatest :

x+4 + x+6 + x+8 = x+6 + x+8 + 3

we can subtract (x+6) abd (x+8) from both sides :

x + 4 = 3

x = -1

so, the 5 numbers are

-1

1

3

5

7

3 + 5 + 7 = 15

5 + 7 + 3 = 15

correct.

Answer: A

Step-by-step explanation:

I did the math on paper, it's A. I'm so sorry if it's wrong but I'm pretty positive.

Answer:

it's a because I worked it out

Answer:

(6, 1)

Step-by-step explanation:

x + 2y = 8

1. subtract 2y to get x alone -- x = -2y + 8

2. insert (-2y + 8) as x

2x - 2 = 10

2(-2y + 8) -2 = 10

3. distribute the 2

-4y + 16 - 2 = 10

4. combine like terms

-4y + 14 = 10

5. subtract 14 from both sides

-4y = -4

6. divide by -4

y = 1

7. plug y into any of the two original equations

x + 2(1) = 8

8. simplify

x + 2 = 8

x = 6

9. check answer with second equation

2(6) - 2 = 10

12 - 2 = 10

Answer:

y=4x+6

Step-by-step explanation:

In a repeated measures design with 20 subjects, each subjected to 2 measurements (before and after stimulus presentation), the degrees of freedom in the test would be 19.

The problem is about an experiment in which a measurement is taken before and after a stimulus is presented to 20 subjects. The aim is to determine the number of degrees of freedom in the data analysis of the experiment.

Degrees of freedom (df) are a measure of the amount of variability in a set of data that is free to vary in the calculation of a statistical test. In a repeated measures design, the degrees of freedom are calculated as the number of subjects minus 1. In this case, with 20 subjects, the degrees of freedom would be 19.

The concept of degrees of freedom is used in both mathematics and physics, but the specific context of a t-test for dependent samples is commonly used in statistical analysis, particularly in the social sciences, psychology, and education research. So, it is more related to mathematics.

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-5x+2=-4(7)

-5x+2=-28

28+2=5x

30=5x

6=x

Answer:

Area of big diagram = 33.32 m²

Step-by-step explanation:

Given:

Both given diagram is similar

Perimeter of small diagram = 20 m

Area of small diagram = 19.6 m²

Perimeter of big diagram = 34 m

Find:

Area of big diagram

Computation:

Both given diagram is similar So,

Perimeter of small diagram / Area of small diagram = Perimeter of big diagram / Area of big diagram

20 / 19.6 = 34 / Area of big diagram

Area of big diagram = [19.6/20][34]

Area of big diagram = 33.32 m²

Answer:

56.6

Step-by-step explanation:

this equation (34/20)^2 * 19.6 = 56.644

Answer: D

Step-by-step explanation:

The slope of a linear equation is the m value in the linear equation y=mx+b, in this case m=-3. The y-intercept is the b value in the linear equation y=mx+b, in this case b=-2.

Answer:

the 3rd option

Step-by-step explanation:

the x intercept is where the graph crosses. The x axis. Here the slope is negative one half. Count rise over run between two points. Use the ones on the grid

Answer:

The real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.

Step-by-step explanation:

To find the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1, we need to find the values of x that make f(x) equal to zero. We can do this by using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c.

In this case, a = -4, b = -6, and c = 1. Substituting these values into the quadratic formula, we get:

x = [-(-6) ± sqrt((-6)^2 - 4(-4)(1))] / 2(-4)

x = [6 ± sqrt(52)] / (-8)

x = [6 ± 2sqrt(13)] / (-8)

These are the two solutions for the quadratic equation, which we can simplify as follows:

x = (3 ± sqrt(13)) / (-4)

Therefore, the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.

ordered pair is in the solution set of the system of inequalities shown in the graph will be (1, 5)

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Set of such values is called solution set to the considered equation or inequality.

The shaded portion will be consider as the dashed line joining points

The portion affected by the two shadings would be the portion common to the right of the dashed line joining points

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (1, 5)

Hence, ordered pair is in the solution set of the system of inequalities shown in the graph will be (1, 5)

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According to the National Household Travel Survey, the expected number of cars in a randomly selected American household is approximately 1.75, option B.

According to the National Household Travel Survey (NHTS) data, the average number of vehicles per household in the United States in 2017 was 1.77. However, the survey result shows that the expected number of cars in a randomly selected American household is approximately 1.75, option B.

This is because the data is based on a probability distribution, which means that there is some variability in the number of cars per household. While the average number of cars maybe 1.77, this does not necessarily mean that every household has exactly 1.77 cars. Instead, some households may have fewer cars, while others may have more.

Overall, the expected number of cars in a randomly selected American household is around 1.75.

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Answer:

x= -14

Step-by-step explanation:

6(x+2)=-72

(you can use the distribution property)

6x+12=-72

     -12     -12

6x=-84

/6    /6

x= -14

Answer:

6x+12 = -72

6x = -72-12

6x = -84

x = -84/6

x = -14

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

4

Step-by-step explanation:

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Answer:

60

Step-by-step explanation:

Because 2x5=10 and 12x5=60

The value of p is equal to one minus the value of W.

(a)1 − p = W can be rearranged to p = 1 - W.

Therefore, the value of p is equal to one minus the value of W.

(b) Factors that influence the selection of fabric for BagHouse are as follows:

(c) The parameters that influence cyclone efficiency are:

(d) The two size ranges of particulates commonly addressed in ambient air are:

Fine particulate matter (PM2.5): These particulates have an aerodynamic diameter of less than or equal to 2.5 micrometers.

They can penetrate the respiratory system and cause lung damage, heart disease, and premature death. They are emitted by sources such as power plants, industry, and transportation.

Coarse particulate matter (PM10): These particulates have an aerodynamic diameter of less than or equal to 10 micrometers.

They can cause respiratory and cardiovascular problems and are associated with dust, construction, and mining activities.

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The compound amount for a deposit of $9,000 at an interest rate of 5.43% compounded continuously for 2 years is approximately $10,118.10. The interest earned on this deposit is approximately $1,118.10.

In continuous compounding, the formula for the compound amount is given by A = P * e^(rt), where A is the compound amount, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years.

Plugging in the given values, we have A = 9000 * e^(0.0543*2). Evaluating this expression, we find that A is approximately $10,118.10.

To calculate the interest earned, we subtract the principal amount from the compound amount: Interest = A - P = $10,118.10 - $9,000 = $1,118.10. Therefore, the amount of interest earned on this deposit is approximately $1,118.10.

In summary, the compound amount for a deposit of $9,000 at 5.43% compounded continuously for 2 years is approximately $10,118.10. The interest earned on this deposit is approximately $1,118.10.

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The surface area of the prism shown in the figure is equal to 480 square inches. (Right choice: B)

In this problem we need to determine the surface area of a prism, that is, the sum of the areas of the five faces of the prism. There are three rectangles and two right triangles as faces of the prism, whose area formulas are described below:

Rectangle

A = w · l

Triangle

A = 0.5 · w · l

Where:

Now we proceed to determine the areas of all faces of the prism:

A = (8 in) · (9 in) + 2 · 0.5 · (15 in) · (8 in) + (9 in) · (15 in) + (17 in) · (9 in)

A = 480 in²

The prism shown in the figure has a surface area of 480 square inches.

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The XYZ corporation will receive $1500000 for all the shares sold.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given: Cost of 1 share = $15

To find: Money received on selling 100000 shares.

Finding:

By unitary method,

Money received on selling 1 share = $15

Money received on selling 100000 shares = 15(100000) = $1500000

Hence, The XYZ corporation will receive $1500000 for all the shares sold.

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Step-by-step explanation:

your answer is 60

hope it helps :)

try this...............

Answer:

a) 78 oz

b) 84 oz

Step-by-step explanation:

first, you divide 546 by seven because adam is sharing it between him and 6 others. this equals 78 so they each get 78oz of grapefruit.

for the next part of the question, you multiply 12 by 7 to get 84. thats how many oz if grapefruit is not eaten.

Answer:

D. 19/50

Explanation:

Write 0.38 as

0.38/1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.38 × 100

1 × 100

=

38/100

Reducing the fraction gives

19/50

Answer:

Step-by-step explanation:  It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.

Answer:

2.2, -1.4 and 2.2, -1.35

Step-by-step explanation:

b and c

The points that are possible approximations on the graph are: (2.2, –1.4) (2.2, –1.35)

We have these equations

\(y = -\frac{7}{4} x+\frac{5}{2}\)

\(y = \frac{3}{4} x-3\)

From the picture we can see that these two lines intersected at a point on the graph.

This point of intersection is x, y.

The x coordinates are at 2, 3

The y coordinates are at -1, -2

From these points we can have approximations for this system as: (2.2, –1.4) (2.2, –1.35)

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In this case, the margin of safety is 4297 units

The margin of safety in units can be calculated using the formula:

Margin of Safety = (Actual Sales - Break-even Sales) / Sales per Unit

First, we need to calculate the break-even sales.

This can be done using the formula:

Break-even Sales = Fixed Costs / (Sales Price per Unit - Variable Costs per Unit)

Break-even Sales = $9,975 / ($6.99 - $2.43) = $9,975 / $4.56 ≈ 2186.40 units

Now, we can calculate the margin of safety:

Margin of Safety = (6,482 units - 2186.40 units) / 6,482 units ≈ 0.6631 or 66.31%

However, the question asks for the margin of safety in units, so we multiply the percentage by the total number of units:

Margin of Safety (in units) = 6,482 units × 0.6631 ≈ 4297 units (rounded to the nearest whole unit)

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