What kind of graph is this ?
A. Positive
B. Negative
C. Zero
D. Undefined

Answer:

u already got it cos x = 8f

Step-by-step explanation:

If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Step-by-step explanation:

Area of a triangle is given by

\(A = \frac{1}{2} bh\)

where

b is the base

h is the height

From the question

Area = 21 m²

The statement

The height of a triangle is 8 m more than the length of the base is written as

h = 8 + b

Make b the subject

That's

b = h - 8

Substitute the expression into the above formula and solve for the height

That's

\(21 = \frac{1}{2} (h - 8)h\)

Multiply through by 2

h² - 8h = 48

h² - 8h - 48 = 0

(h + 4)(h - 12) = 0

h + 4 = 0 h - 12 = 0

h = - 4 h = 12

Since the height cannot be a negative number we have the final answer as

Hope this helps you

Answer:

The answer is option (C). Four Rivers Bank

Explanation:

a). The total amount Jane will receive after 5 years after investing $40,000 in the Mystic Bank can be expressed as follows;

A = P (1 + r/n) (nt)

where;

A = the future value of the initial investment

P = initial investment amount/principal amount

r = the annual interest rate

n = the number of times that interest is compounded per unit t

t = the time the money is invested for

In our case;

P=$40,000

r=12/100=0.12

n=interest is compounded quarterly which is four times a year=4

t=5 years

Replacing values in the formula;

A=40,000(1+0.12/4)^(4×5)

A=40,000(1+0.03)^20

A=40,000×1.806

A=72,244.45

The total amount Jane will receive after 5 years if she chooses to invest with the Mystic Bank is $72,244.45

b). The total amount Jane will receive after 5 years after investing $40,000 in the Four Rivers Bank can be expressed as follows;

A = P (1 + r/n) (nt)

where;

P=$40,000

r=14/100=0.14

n=interest is compounded semiannually which is two times a year=2

t=5 years

Replacing values in the formula;

A=40,000(1+0.14/2)^(2×5)

A=40,000(1+0.07)^10

A=40,000×1.967

A=78,686.05

The total amount Jane will receive after 5 years if she chooses to invest with the Four Rivers Bank is $78,686.05

c). The best deal would be to invest with Four Rivers Bank for 5 years since the total amount Jane will receive after 5 years will be $78,686.05 which is greater than $72,244.45, which is the total amount she will receive if she chooses to invest with Mystic Bank

More scores were in the interval 75-79 than any other interval

a. Class Interval Frequency

70-74    8

75-79    16

80-84    12

85-89     4

b. The % more than 84 = 4/40 x 100

=10%/

c. The % less than 75 = 8/40 x 100

= 20%

d. More scores were in the interval 75-79 than any other interval

Read more about frequency table here:

https://brainly.com/question/28035330

#SPJ1

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

for such more question on function

https://brainly.com/question/14723549

#SPJ8

Answer:

42 gallons

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

To know more about vertices, visit:
https://brainly.com/question/28278527
#SPJ1

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

Answer:

4.7619%

Step-by-step explanation:

Let's suppose the insurance company sells 16 standard policies.

For every 16 standard policies sold, the company sells 1/4 x 16, or 4, preferred policies.

For every 4 preferred policies sold, the company sells 1/4 x 4, or 1, ultra-preferred policy.

Therefore, for every ultra-preferred policy sold, the company sells:

16+4+1=21 total policies

So the probability of any 1 random policy selected being ultra-preferred is 1/21, or 4.7619% ....................

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Learn more about triangles here:

https://brainly.com/question/30104125

#SPJ1

Answer:

its 630 i got it wrong on a test

Step-by-step explanation:

The area of the blanket that will be plaid fabric is,

⇒ 630 cm²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

This figure represents a design being added to a blanket.

And, Megan wants to add this design in a plaid fabric 18 times to add interest to the plain blanket.

Now,

Area of triangle = 1/2 x 4 x 5

                        = 10 cm²

And, Area of square = 5 × 5

                               = 25 cm²

Thus, The area of figure is,

⇒ 10 + 25

⇒ 35 cm²

Here, Megan wants to add this design in a plaid fabric 18 times to add interest to the plain blanket.

Hence, The area of the blanket that will be plaid fabric is,

⇒ 35 × 18

⇒ 630 cm²

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ3

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

To more on ratio:
https://brainly.com/question/12024093
#SPJ8

The radius (r) of the cone and the cylinder are the same, as they share the same circular base. In the example, r=6 cm.

what is radius?

Radius is a mathematical term used to describe the distance between the center of a circle or sphere and its perimeter or surface, respectively. In other words, it is the length of a line segment that connects the center of a circle or sphere to any point on its circumference or surface.

what is cone ?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat, circular base to a point called the apex or vertex. The shape of a cone is characterized by its radius (the distance from the center of the base to its edge) and its height (the distance from the base to the apex).

In the given question,

1) The radius (r) of the cone and the cylinder are the same, as they share the same circular base. In the example, r=6 cm.

2) The volume of the cone in the example is smaller than the volume of the cylinder. This is because the cone has a slanted side, which takes up less space than the straight sides of the cylinder with the same base and height.

3)If the height of the cone in the example is tripled to 15 cm, then the volume of the cone would increase by a factor of 9 (3^2), since the volume of a cone is proportional to the cube of its height. Thus, the volume of the cone would become 540π cubic centimeters. However, the volume of the cylinder would remain the same at 180π cubic centimeters, since the height of the cylinder remains unchanged. Therefore, the volume of the cone would be three times larger than the volume of the cylinder.

To know more about radius, visit:

https://brainly.com/question/13449316

#SPJ1

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

For more such questions on pay,click on

https://brainly.com/question/25793394

#SPJ8    

To determine how much effort the gas undergoes as it changes from its original condition to its final one, Nora and Bob utilize the area underneath the line separating the two states and the first rule of thermodynamics.

When a gas changes from its initial condition to its final state, Nora and Bob explain how to compute the work that is done. They talk about compressing gas, thus something is being done to the gas.

You suggest using the area under the line separating the final and initial states to calculate the work done as well as the application of the first equation of thermodynamics, q=w.

To learn more about the work done at

https://brainly.com/question/13662169?referrer=searchResults

#SPJ4

Answer:

Y=-4x 2

Step-by-step explanation:

Answer:

15 i think

Step-by-step explanation:

9+6= 15 and if its not that then 3 but i say do 15 hope dis help

Answer:

Mark me as Brainliest

\(fx^{-1} (x)=x+3\)

Step-by-step explanation:

To find the inverse of a function, just “trade” x and y and solve for the “new” y. The graph of the inverse is the reflection of the original function over the line y=x.

Rewrite the function

\(f(x)=x+3\)

as the equation, y=x+3

Trade x and y.

X=y+3

The symbol for the inverse if \(fx^{-1} (x)\)

\(fx^{-1} (x)=x+3\)

Answer:

x-3

Step-by-step explanation:

hlo therre!!

f(x)=x+3

let f(x) be y;

y=x+3

now; interchanging the value of x and y;

i.e. x=y+3

y=x-3

f(x)^-1 = x - 3...

this is the required inverse function..

thank u!! hope it helps!

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

The quadrilaterals have the following congruent angles: ∠ A ≅ ∠ W, ∠ B ≅ ∠ X, ∠ C ≅ ∠ Y, ∠ D ≅ ∠ Z.

Herein we find the case of two similar quadrilaterals, that is, two quadrilaterals that have four pairs of congruent angles and four pairs of proportional sides.

Thus, by direct observation, we have the following conclusions on congruence of angles and proportionality of sides:

Angles

∠ A ≅ ∠ W

∠ B ≅ ∠ X

∠ C ≅ ∠ Y

∠ D ≅ ∠ Z

Sides

AB / XW = BC / XY = CD / YZ = AD / WZ

To learn more on congruent angles: https://brainly.com/question/2789152

#SPJ1

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

To know more about Income.

https://brainly.com/question/30467914

#SPJ8

Answer:

63

Step-by-step explanation:

You find the area of a parallelogram the same way you would a rectangle.

A = lw or A = bh so A = (9)(7). A = 63

Answer:

C. 63

Step-by-step explanation:

To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.

Have a great day!

Steps to solve:

x + a = 3/4

~Subtract a to both sides

x = 3/4 - a

Best of Luck!