Which of the following equations correctly describes the graphed line?




y = -1/2x - 5


y = -1/2x + 5


y = 1/2x + 5


y = 1/2x - 5

Answer:

B

Step-by-step explanation:

The vertex is the bottom-most point of the curve located at the halfway point. The x coordinate of the point is 3, and the y coordinate is -4. The places at which the quadratic hits the x axis are at (1,0) and (5,0), and it hits the y axis at (0,5).

Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3. Therefore, option B is the correct answer.

We need to find the features of the quadratic function graphed in the figure.

"Vertex" is a synonym for a node of a graph, i.e., one of the points on which the graph is defined and which may be connected by graph edges.

The features of the quadratic function are as follows:

The vertex is the bottom-most point of the curve located at the halfway point. The x -coordinate of the point is 3, and the y -coordinate is -4. The places at which the quadratic hits the x-axis are at (1,0) and (5,0), and it hits the y-axis at (0,5).

Therefore, option B is the correct answer.

To learn more about the quadratic function visit:

https://brainly.com/question/27958964.

#SPJ2

Answer:

1384.7

Step-by-step explanation:

42/2     21^2x3.14=1384.74

Hope this Helps :)

The student is correct and for the given linear equation is 5.

A linear equation in one variable is one that is written in the form ax + b = 0, where a, and b are real numbers and the coefficients of x and constant, i.e. a and b, are not equal to zero.

A linear equation is an algebraic equation of the form y=mx+b, involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. The preceding is sometimes referred to as a "linear equation of two variables," where y and x are the variables.

Given:

here is a linear equation in which one variable is given.

n - 3 = \(\frac{16}{8}\)

According to the question, on the simplification of the given equation.

\(n - 3 = \frac{16}{8} \\n - 3 = 2\\n = 2 + 3\\n = 5\)

so, n = 5

Hence, the student is correct.

To know more about Linear equations visit:

https://brainly.com/question/19770987

n - 3 = \(\frac{16}{8}\) The student calculated n = 5. Is the student correct.?

Answer:

11%

Step-by-step explanation:

the answer is 11 because you need to minus

Answer:

62.1

Step-by-step explanation:

PEMDAS!

9.1 * 3 = 27.3

8.7 * 4 = 34.8

27.3 + 34.8 = 62.1

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

Learn more about line from

https://brainly.com/question/18831322

#SPJ1

Step-by-step explanation:

it all starts with the last statement :

306 take all 3 courses.

so,

V = 306.

from there we go to the statements covering 2 areas, as these 306 must be part of each.

687 science and math = V + VI = 306 + VI.

VI = 687 - 306 = 381

580 psychology and math = V + IV = 306 + IV.

IV = 580 - 306 = 274

579 psychology and science = V + II = 306 + II.

II = 579 - 306 = 273

from there now we can go to the statements covering only 1 area.

1129 psychology = I + II + IV + V = I + 273 + 274 + 306.

I = 1129 - 273 - 274 - 306 = 276

1301 science = III + II + V + VI = III + 273 + 306 + 381.

III = 1301 - 273 - 306 - 381 = 341

1305 math = VII + IV + V + VI = VII + 274 + 306 + 381.

VII = 1305 - 274 - 306 - 381 = 344

and for the total (students not taking any of the 3 classes)

VIII = 2567 - I - II - III - IV - V - VI - VII =

= 2567 - 276 - 273 - 341 - 274 - 306 - 381 - 344 =

= 372

Answer:

i don't know

Step-by-step explanation:

I don't know

Given that,

The interest of sum of money is 6 yrs in 3/8 of the principal.

To find,

The rate of interest.

Solution,

Let P is the principal. It means interest will be :

I=3/8 P

The formula for the interest is given by :

\(I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%\)

Hence, the rate of interest is 6.25%.

Answer:

d) −8

Step-by-step explanation:

x − 2+2 < −8+2

x < -6

The only number less than -6 is -8

Answer:

y=ax²+q

q= -1 turning point of the graph

(-1,0)(1,0)

0=a(1)²-1

0=a-1

a= -1

Answer:

me too (help)

Step-by-step explanation:

Using the formula of area of a square, the fewest number of tiles required will be approximately 3

A square can be defined as a closed two-dimensional shape with four sides that are equal to each other and four equal angles. The four sides of the square will form the four angles at the vertices. The sum of the length of all the sides of a square is known as the perimeter, and the total space occupied by the shape is the area of the square.

The formula of area of a square is given as

A = l²

The total area of the floor can be calculated as

A = l²

A = 5²

A = 25 ft²

The least number of tiles required to cover the floor will be calculated using the square with it's largest side

l = 3ft

A = 3²

A = 9ft²

The numbers required will be 25 / 9 = 2.78≅3

Learn more on area of square here;

https://brainly.com/question/24487155

#SPJ1

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

To learn more about inequality:

https://brainly.com/question/30238989

The average T2, T7, T6, T4, and T10 in Processor 1

T8, T9, T3, T1, and T5 on Processor 2.

Work on tasks t2, t7, t6, t4, and t10 will be done by processor 1. The first task to be finished is task t2, followed by tasks t7, t6, t4, and lastly t10. Work on tasks t8, t9, t3, t1, and t5 will be done by processor 2. The first work to be finished is task t8, followed by t9, t3, t1, and ultimately t5. In order to finish the job quickly, both processors will cooperate, with Processor 1 concentrating on the early tasks and Processor 2 concentrating on the later duties. This guarantees that the project is finished on schedule and that all the tasks are carried out in the proper order.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:

D.

Step-by-step explanation:

\(x^2-10x-2=17\)

Add 2 to both sides:

\(x^2-10x-2+2=17+2\)

\(x^2-10x=19\)

Add half of the coefficient of the x, squared to both sides:

\(x^2-10x+\left(-5\right)^2=19+\left(-5\right)^2\)

Simplify:

\(x^2-10x+\left(-5\right)^2=44\)

Complete the square:

\(\left(x-5\right)^2=44\)

\(x-5=\sqrt[]{44}\) or \(x-5=-\sqrt[]{44}\)

\(x=\sqrt{44} +5\) or \(x=-\sqrt{44} +5\)

The answer is D..............

The percent extension and lengthening (in meters) for the deformed rock layers is 20%.

Percent extension refers to the amount of stretching that has occurred in a rock layer, expressed as a percentage of its original length.

To calculate percent extension, we would subtract the original length from the current length (120 - 100 = 20) and then divide that difference by the original length (20/100 = 0.2).

Finally, we would multiply by 100 to get the percent extension (0.2 x 100 = 20%).

Therefore, the percent extension of the rock layer would be 20%.

In summary, percent extension and lengthening are important concepts in geology that help us understand how rocks have been deformed over time.

To know more about percent here

https://brainly.com/question/13729841

#SPJ4

Answer:

B (-7,10) C (-3,10) D(-7,4)

Step-by-step explanation:

after a rotation 90° clockwise

The plausible values for the SD(x) are 6.67 and for SD(y) is 3.37, and the slope of the line is 0.5.

Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.

We have a scatter plot shown in the table:

1) As we can see in the scatter plot all data are within 3 standard deviations of the mean:

Standard deviation = SD

6SD(x) = 40

SD(x) = 40/6 = 6.67

6SD(y) = 20

SD(y) = 20/6 = 3.37

2) Slope of the line:

= SD(x)/SD(y) = (20/6)/(40/6) = 1/2 = 0.5

3) It is plausible to take the slope of the line as 0.5 because the slope of the line is the ratio of the change in y to the change in x.

Thus, the plausible values for the SD(x) are 6.67 and for SD(y) is 3.37, and the slope of the line is 0.5.

Learn more about the scatter plot here:

brainly.com/question/13984412

#SPJ1

Answer:

0.12 Miles

Step-by-step explanation:

Given:

Joakin = 0.3 Miles from Keith

Layla lives 0.4 times as far as Joakim

Solution:

If Joakin lives 0.3 miles from keith and Layla lives 0.4 times as far from keith as Joakim that mean to multiply 0.3 by 0.4.

0.3 x 0.4 = 0.12

Hence, Layla live 0.12 Miles from Keith.

The probability of randomly selecting a male student and female student are non-smokers is 0.6771

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

According to the given question:

Number of male students are smokers = 61

Number of male students are non smokers = 549

Total number of male students = 610

Number of female students are smokers = 156

Number of female students are non smokers = 444

Total number of female students = 600

Probability that both are non smokers is given by

P (non-smoker males) x P (non-smoker females)

= \(\frac{549}{610} . \frac{444}{600}\)

= 0.915 x 0.74

= 0.6771

Therefore the probability that both male and female are non-smokers is 0.6771.

To know more about probability visit

https://brainly.com/question/16887898

#SPJ1

Step-by-step explanation:

step 1 find thd equation of line PI

step 2 find the equation of line AD

step 3 solve the two equations of the 2 lines

step 4 the valued of x and y obtained from step 3are yhe coordinates of the intetcept

Answer:

The Answer is A

Step-by-step explanation:

Hope it helps!

Answer:

The anwser is A. In a way, It's just youre job to try and find out what A stands for, so, that means it is up to you to find the answer, and not us.

Step-by-step explanation:

Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.

To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.

The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.

The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:

Reduction in weight / Initial weight

Substituting the values, we have:

20 kg / 85 kg

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

(20 kg / 5) / (85 kg / 5) = 4/17

For such more question on weight:

https://brainly.com/question/25973294

#SPJ8

Simplify the expression by addition of fractions.

So answer is,

9514 1404 393

Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.