Algbra 2 help please asap

The parabola with the equation (x-4)²=-15(y+18) opens downwards.

The equation of the parabola is (x-4)²=-15(y+18)

From the equation we can infer that the parabola has the vertex at (4,-18) and the axis of symmetry is the line x = 4 .

(x-4)²=-15(y+18)

or, x² -8x + 16 = -15y -270

or, 15y = -x² + 8x - 286

The equation is of the general form : y = ax² + bx + c therefore the parabola will have two x values for every y value. So either the parabola will open upwards or downwards.

Now the general form of the parabola we find that the coefficient of the highest power of x is -1 (negative value)

Therefore the graph of the parabola opens downwards as illustrated by the graph of the parabola attached below.

To learn more about parabola visit:

https://brainly.com/question/4074088

#SPJ1

a. Vertical rise of the inclined plane= 519.35 ft

b.  Elevation of the lower end of the inclined plane=1174.15 ft

c.  The rate at which they rise vertically is 173.78 ft/min

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

a. Since the length of the incline = 896.54 ft, and the angle of the incline = 35.4°. Let h be the vertical rise of the incline. From trigonometric identities,

sin35.4° = h/896.54 ⇒ h = 896.54sin35.4° = 519.35 ft

b. Since the top of the incline is 1693,5 ft above sea level, and the vertical height of the incline is 519.35 ft, the elevation of the lower end of the inclined plane is 1693.5ft - 519.35ft = 1174.15 ft

c. The cars move up the mountain at a rate of 300 ft/min along the inclined plane. The rate at which they rise vertically is the vertical component of the velocity = 300sin35.4° ft/min = 173.78 ft/min

To learn more about the unit rate from the given link

https://brainly.com/question/4895463

#SPJ1

The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S  .

In the question ,

it is given that

amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,

let the amount of dough required for small pizza = S

let the amount of dough required for large pizza = L

let the amount of dough required for medium pizza = M

So , M [tex]=[/tex] (3/2)S

and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,

that is

L [tex]=[/tex] (5/2)S

amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,

that is L [tex]=[/tex] M [tex]+[/tex] S .

Substituting the value of L and S , we get

(5/2)S [tex]=[/tex] (3/2)S + S

We have a linear equation that is true for all S , there is no unique solution to this equation .

Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .

The given question is incomplete , the complete question is

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .

Learn more about Equation here

https://brainly.com/question/17026235

#SPJ1

Answer:

y = ⅓ x

Step-by-Step Explanation:

When y = 1 x = 3 which means y is always ⅓ of x.

Answer:

-25/21

Step-by-step explanation:

Slope Formula:

m=(y1-y2)/(x1-x2) where m is the slope

m=(-10 - 15)/(6 - (-15))

m=(-(10+15)/(6+15))

m=-25/21

Answer : The chance that the Islanders will win n games out of 6 is:

0.47 ^ n + (1 - 0.47) ^ (6 - n) * 6! / n! / (6 - n!)So, the chance of winning 4 games is 0.205605

the chance of winning 5 games is 0.072932

the chance of winning all 6 games is 0.010779

Adding these together we get 0.289316

Rounding to the nearest thousandth we get 0.289 (or 28.9%)891 viewsRelated questions (More answers below)

Step-by-step explanation:

Answer:

220

Step-by-step explanation:

hope it helps

The required when two classes are combined, the average final exam score is approximately 87.

Number of students in the first class = 20

The average score of the first class = 92

Number of students in the second class = 25

The average score of the second class = 83

Calculate the total number of students:

Total number of students = Number of students in the first class + Number of students in the second class

Total number of students = 20 + 25 = 45

Calculate the total score for both classes:

Total score for the first class = Number of students in the first class * Average score of the first class

Total score for the first class = 20 * 92 = 1840

Total score for the second class = Number of students in the second class * Average score of the second class

Total score for the second class = 25 * 83 = 2075

Calculate the combined total score:

Combined total score = Total score for the first class + Total score for the second class

Combined total score = 1840 + 2075 = 3915

Calculate the average final exam score when the two classes are combined:

Average final exam score = Combined total score / Total number of students

Average final exam score = 3915 / 45

Average final exam score = 87

Therefore, when the two classes are combined, the average final exam score is approximately 87.

Learn more about averages here:

https://brainly.com/question/13196722

#SPJ4

It is true that 400 elephants are blue in color. This happens because number of elephants remaining is twice 400.

Given that,

Total number of elephant = 1200

Strips colors available are: Pure Pink

                                             Pure blue

                                             Pink and Green

Pure Pink = 1/3 of 1200

                = 1/3 × 1200

                = 400

Rest elephant who are definitely blue:

Remaining elephant = Total number of elephant - Pure Pink

                                  = 1200 - 400

                                  = 800

∴ It is true that 400 elephants are blue because the  number of elephants remaining twice 400.

Learn more about Total Number:

https://brainly.com/question/14286201

#SPJ4

Answer:

4y + 4

Step-by-step explanation:

Place similar together: 2y - 5y + 6y + 1y + 7 -3
Solve: (2-5+6+1)y + 4
           4y + 4

The following data is gotten from comparing the graph of  f(x) = 3x + 5 to graph of g(x) = 3(0.1x) + 5

Both has y intercept of 5

g(x) is a vertical compression of f(x) by a factor of 0.1

The graph of the both linear equation is plotted and attached

solving for y intercept by substituting x = 0 into f(x) = 3x + 5 shows that

f(x) =  5

solving for y intercept by substituting x = 0 into g(x) = 3(0.1x) + 5 shows that

g(x) =  5

examining the both equations, it can show that the slope of f(x) is  multiplied by a factor 0.1 this results to vertical shrink

Learn more about linear functions at:

https://brainly.com/question/29213643

#SPJ1

The way to calculate the percentage change will be:

Step 1: Take one value and subtract it from another.

Step 2: Subtract the error from the exact or ideal value (not your experimental or measured value). This will result in a decimal number.

Step 3: Multiply the decimal number by 100 to get the percentage.

Step 4: To report your percent error value, use the percent or % symbol.

The difference between an approximate or measured value and an exact or known value is expressed as a percentage in percent error.

It is a scientific term that describes the difference between a measured or experimental value and a true or exact value.

It's important to divide the new value by the old value to get the percentage change.

Learn more about percentages on:

https://brainly.com/question/24304697

#SPJ1

Answer:

Step-by-step explanation:

[tex]\pmb {sin(22)^o=\cfrac{x}{35} }[/tex]

[tex]\pmb {35sin(22)=w}[/tex]

[tex]\pmb {w=13.11}[/tex]

_________________

Hope this helps!

Have a great day! :)

1) Based on a system of equations, the amount Kate would pay for her dinner at either of the two different restaurants is $33.

2) Based on the same system of equations, the weight of the lobster is 2 pounds.

A system of equations indicates two or more equations solved concurrently, at the same time, or simultaneously.

A system of equations is also described as simultaneous equations.

                                     First Restaurant     Second Restaurant

Meal charge                            $27                        $25

Lobster per pound                   $3                           $4

Let the weight of the lobster per pound = x

The total cost of Kate's dinner at the first restaurant = 27 + 3x

The total cost of Kate's dinner at the second restaurant = 25 + 4x

27 + 3x = 25 + 4x

2 = x

First Restaurant = 27 + 3x

= 27 + 3(2)

= $33

Second Restaurant = 25 + 4x

= 25 + 4(2)

= $33

Learn more about simultaneous equations at https://brainly.com/question/13729904

#SPJ1

Answer:

No, here's why...

Step-by-step explanation:

Multiply 9 by 4.50

you get $40.50

40.50<48.75

she will not be able to but the bicycle

The slope of the line y = 5x + 4 is 5.

Slope i.e. m = 5.

Given, a line of equation

y = 5x + 4

We have to find the slope of the given line,

Now, as we know the slope-intercept form of a line i.e.

y = mx + c

where, m is the slope of the line and c is the y-intercept of the line.

So, using the same form in the line, we get

y = 5x + 4

the slope of the line is 5.

Hence, the slope of the line y = 5x + 4 is 5.

Learn more about Straight Lines here https://brainly.com/question/27307465

#SPJ1

Answer:

0.5

Step-by-step explanation:

If 50% of £2 is £1

and 25% of £1 is 25p

we can workout that 25% of £2 is 0.5

y = 7c -  34 is slop intercept form of equation .

What is an explanation of the slope-intercept form?

slop intercept form of equation

             y = mx + c

Y+6=7(c-4)

y + 6 = 7c - 28

 y = 7c - 28 - 6

  y = 7c -  34

Learn more about slope intercept form

brainly.com/question/9682526

#SPJ1

The system of equation does not have a solution.

The percentage of smokers in Russia can be represented by the equation 36x+100y=346, where y is the percentage of adults who smoke and x is the number of years since 2000.

The percentage of smokers in Poland can be represented by the equation 18x+50y=176, where y is the percentage of adults who smoke and x is the number of years since 2000.

Let's combine the equation and find the solution.

36x + 100y = 346

18x + 50y = 176

multiply equation(ii) by 2

36x + 100y = 346

36x + 100y = 352

0 = 6

Therefore, the system has no solution.

learn more on system of equation here: https://brainly.com/question/7568812

#SPJ1

Answer:

-147/100 or mixed number -1 47/100

Step-by-step explanation:

Answer:

-1 47/100 or -147/100

Step-by-step explanation:

Simplify the top which gives you -21/10 and change the sign of -9/14 to a positive and then remove parentheses. Calculate the bottom fractions which is 10/7. Rewrite the fraction then simplify to -147/100

Answer:

x = 11

Step-by-step explanation:

According to the question:

Base of the rectangle = (x + 4) cm

Height of the rectangle = (x - 5) cm

Area of the rectangle = 90 cm²

Area of rectangle = Height of the rectangle × Base of the rectangle

[tex] \therefore[/tex]

[tex] \rm \implies 90 = (x + 4)(x - 5) \\ \\ \rm \implies 90 = {x}^{2} - x - 20 \\ \\ \rm \implies {x}^{2} - x = 90 + 20 \\ \\ \rm \implies {x}^{2} - x = 110 \\ \\ \rm \implies {x}^{2} - x - 110 = 0 \\ \\ \rm \implies {x}^{2} - 11x + 10x - 110 = 0 \\ \\ \rm \implies x(x - 11) + 10(x - 11) = 0 \\ \\ \rm \implies (x - 11)(x + 10) = 0 \\ \\ \rm \implies x - 11 = 0 \: \: and \: \: x + 10 = 0 \\ \\ \rm \implies x = 11 \: or \: - 10[/tex]

As value of length cannot be negative.

Therefore, value of x should be 11

Answer:

Step-by-step explanation:

53.6 oz + 4.7 oz

= 58.3 oz in total

Answer:

58.3 ounces

Step-by-step explanation:

53.6 + 4.7 = 58.3

Jordan worked 9 hours as lifeguarding

Jordan worked 6 hours walking dog

given that

Jordan making $13 per hour lifeguarding and $10 per hour walking the dog

last week Jordan earned a total of $177

let x be the number of hours  she worked walking the dog

let y be the number of hours she  worked as a lifeguard

13y+10x=177 -------- (1)

worked 3 more hour lifeguarding than an hour walking dog

y = 3 + x --------(2)

substitute equation 2 in 1

13(3+x) +10x =177

39+13x+10x = 177

39 + 23x = 177

23x = 177 -39

23x = 138

x = 138/23

x = 6

now substitute x=6 in equation 2

y = 3 + 6

y = 9

9 number of hours he worked lifeguarding last week

6 number of hours he worked walking dog last week

To learn more about Equations:

https://brainly.com/question/21105092

#SPJ4

The function of the resulting transformation is f(x) = -x - 3 + 6.

Given:

The graph f (x) = x is shifted down 6 and to the right 3 and reflected over the x-axis.

The  first transformation:

shifted down 6 units

f(x) = x - 6

second transformation:

x = x + 3.

f(x) = x + 3 - 6

Third transformation:

reflected over the x-axis.

f(x) = -1(x+3-6)

f(x) = -x - 3 + 6.

Therefore the function of the resulting transformation is f(x) = -x - 3 + 6.

Learn more about the transformations and graph here:

https://brainly.com/question/10059147

#SPJ1

The equation of the function is y =  x - [tex]1\frac{1}{3}[/tex]

The first point = (-6, [tex]-7\frac{1}{3}[/tex])

The second point = (-4, [tex]-5\frac{1}{3}[/tex])

Convert the mixed fraction to the simple fraction

The first point = (-6, -22/3)

The second point = (-4, -16/3)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

= (-16/3 - (-22/3) / (-4 - (-6)

= 2 / 2

= 1

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

y - (-22/3) = 1(x - (-6))

y + 22/3 = x + 6

y = x+ 6 - 22/3

y = x+ -4/3

y = x - 4/3

Convert the simple fraction to mixed fraction

y =  x - [tex]1\frac{1}{3}[/tex]

Hence, the equation of the function is y =  x - [tex]1\frac{1}{3}[/tex]

Learn more about point slope form here

brainly.com/question/24436844

#SPJ1

Answer:

it would be 69 bhejejejirirooddsskkskskakakakzkzjajbhshdhdjdjeiejeie

The amount remaining on her after one year is $5000  .

In the question ,

it is given that ,

amount taken by Susan from her father = $8000 ,

interest rate charged by Susan father = 0%

amount that Susan will repay her loan per month = $250 .

So , the amount that Susan will repay in 12 months = 12×250

= $3000

So , in 1 year Susan will pay $3000 ,

the amount of loan remaining after 1 year = (loan amount) - (amount paid in 1 year)

the amount of loan remaining after 1 year = 8000 - 3000

= $5000

Therefore , The amount remaining on her after one year is $5000  .

The given question is incomplete , the complete question is

Susan Asked her father for a no-interest loan of $8,000 so she could purchase a used car. She told her father that she would repay the loan at a rate of $250 per month . How much will be remaining on her loan after one year ?

Learn more about Loan here

https://brainly.com/question/18722911

#SPJ1

The value of a is 5/19

The value of b is -160/19

The value of c is 960/19

Given,

The quadratic function formula;

p(t) = at² + bt + c

We have to interpret quadratic graphs;

Thus, the equation is now;

p(t) = at² + bt + 0

p(t) = at² + bt

From the graph, we see that when x = 8, y = 0. Thus;

p(8) = a(8²) + 8b + c = 0

64a + 8b + c = 0   ------(1)

From the graph, we know that the axis of symmetry is;

x = -b/2a

Thus;

16 = -b/2a

b = -32a  -----(2)

From the graph, we see that when x = 5, y = 15. Thus;

p(8) = a(5²) + 5b + c = 0

25a + 5b + c = 15   ------(3)

Put -32a for b in eq 1 and 3 to get;

64a + 8(-32a) + c = 0  

-192a + c = 0   ------(4)

25a + 5(-32a) + c = 15

-135a + c = 15   ------(5)

Subtract eq 4 from eq 5 to get;

192a - 135a = 15

57a = 15

a = 15/57

a = 5/19

Thus;

b = -32(5/19) = -160/19

-135(5/19) + c = 15

15 + (675/19) = c

c = 960/19

Learn more about Quadratic graphs here;

https://brainly.com/question/29400056

#SPJ1