Find the focus of the parabola: f(x) = 1/4 (x – 3)^2 + 1
PLEASE HELP AS SOON AS POSSIBLE
SHOW YOUR STEPS

Answer:

$3.60

Step-by-step explanation:

2.40/8=.30

$.30 per bar

.3 x 12= $3.60

Answer:

$3.60

Step-by-step explanation:

Proportions

8 bars ⇔ $2.4

12 bars ⇔ $W

W = 12*2.4/8

W = $3.6

Answer: 8.5%

My bad pimp

Answer:

8.5%

Step-by-step explanation:

1.87/22 = .085 x 100 = 8.5%

The quadratic parent function, f(x) = x², represents the most basic form of a quadratic function.

f(x) = x² is called the "parent" or "standard" form because it serves as a template or starting point for other quadratic functions.

In this function, x represents the input or independent variable, and f(x) represents the output or dependent variable.

The function takes any real number as an input, squares it, and produces the corresponding output.

By modifying the quadratic parent function with additional terms or coefficients, we can create different variations of quadratic functions that result in shifts, stretches, or compressions of the parabola, as well as changes in its orientation or vertex position.

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The total amount that the Bells will pay for their house would be $313, 680.

The cost that would be interest is $193, 680

The amount of the first payment going to mortgages is $165. 24

Find the down payment :

Down payment = House price - Mortgage amount = $120,000 - $90,000 = $30,000

Then the points paid at closing :

= $ 90,000 x 0. 02 = $1,800

Total amount paid = Total mortgage payments + Down payment + Points cost

= 281, 880 + 30, 000 + 1, 800

= $ 313, 680

The total that is interest is:

Total interest paid = Total interest paid through monthly payments + Points cost

Total interest paid = $ 191, 880 + $ 1, 800 = $193, 680

The amount of the first payment going to principal is:

Principal portion of first payment = 90, 000 - 89, 834.76 = $165. 24

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Answer:

Step-by-step explanation:

From the given information:

              Passed          Failed        Total

Male            17                   6            23

Female        34                 12            46

Total             51                 18             69

\(P(male | fail) = \dfrac{P(male \cap fail)}{ P(fail)}\)

\(P(male | fail) = \dfrac{\dfrac{6}{69} }{\dfrac{18}{69}}\)

\(P(male| fail) = \dfrac{1}{3}\)

\(P(male | fail) = 0.333\)

\(P(male) = \dfrac{23}{69}\)

\(P(male) = \dfrac {1}{3}\)

\(P(male) = 0.333\)

The two results are equal:

So the events are dependent.

The x- and y-intercepts as required to be determined in the task content are; (-4/3, 0) and (0, -4).

As evident in the task content; the given function is; f(x) = - 3x - 4.

The x-intercept represents the value of x when f(x) = 0.

0 = -3x - 4

3x = -4

x = -4 / 3.

The y-intercept represents the value of f(0); hence, we have that;

f (x) = -3(0) - 4

f(0) = -4.

Ultimately, the points which correctly represents the x- and y-intercepts are; (-4/3, 0) and (0, -4).

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

TPW is a isosceles because it has at least two equal sides and two equal angles (two congruent sides and angles)

Step-by-step explanation:

Hope that helps dude !

Answer:

-39.24

Step-by-step explanation:

mark me brainliest plz

Answer:

86.24

Step-by-step explanation:

23.5 + - (-62.74) = ​

Distribute the negative with (-62.74)

23.5+62.74

Add

86.24

Answer:

hey you can use scan and search

Answer:

I got : 0.42264973

Step-by-step explanation:

1/ -√3 + 1

-√3 = -1.73 ( 2 decimal place )

1/ -1.73 + 1

and found the answer

The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Another way that people can look up how much they owe in tax is by looking it at IRS.gov/account.

A tax that you pay to the federal government in the US as opposed to a state government If income is used to pay for college, it could not be subject to federal taxes. Federal taxes are collected by the federal government.

The marginal tax rate should be used to calculate federal taxes. It only applies to taxable income. Make changes to gross revenue to arrive at a determinable Taxable income before computing Taxable income. Deductions must then be made. After deductions, taxable income is available. There is no tax due if there is no taxable income.

At IRS.gov/account, you can securely log in to access your federal tax account. Once you've logged into your account, you can see your balance and the amount you owe, as well as 18 months' worth of payment history, access Get Transcript, and see the most important data from your most recent tax return.

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Answer:

{5,6,7}

Step-by-step explanation:

3s>12

divide by 3 on both sides and you get

s>4

so {5,6,7} is the only one that works since it needs to be greater than 4

sorry if I replied too late, but I hope this helps

Answer:

Our juices’ journey to your table starts on the thousands of acres of citrus farms dotting Western North America. The process begins when the fruit is harvested at its sweetest, then sent to our plant to be pressed and bottled. From the plant, our juice is sent to retailers throughout the West, including Ralph’s, Bristol Farms and Pavilions to name a few. This lateral integration gets the freshest, best tasting juices to our customers as quickly as possible, and makes Perricone Farms a true “Farm-Bottle-Table” company. You’ll taste the difference with every sip.

The centre and the radius of the circle is (-7, -1) and 6 units

The equation of the circle in standard from is expressed as:

x^2+y^2+2gx+2fy+C = 0

where;

(-g, -f) is the centre

r= √g²+f²-C

Given the equation below

x^2+y^2+14x+2y+14 = 0

2g = 14

g = 7

2f = 2

f =1

Hence the centre of the circle is (-7, -1)

Radius = √49+1-14

Radius = √36 = 6 units

Hence the centre and the radius of the circle is (-7, -1) and 6 units

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\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)

Each coordinate of the midpoint between two points is given by the sum of the respective coordinates of those two points, divided by 2:

For the points (0,7) and (4,-9), we have:

x₁ = 0

y₁ = 7

x₂ = 4

y₂ = -9

Thus, the midpoint between those points is:

Therefore, the midpoint is: (2,-1)

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Okay, here are the steps to solve this problem:

* The purchase price of the motorcycle is $9,100

* The down payment on the lease is $600

* The monthly lease payment is $250

So to find the function that describes the total cost (p) in terms of time (t) in months:

p(t) = 600 + 250t

* The initial down payment is $600

* Each month, you pay $250

* So the total paid after t months is $600 + $250t

To find how long it will take to pay more than the purchase price:

600 + 250t > 9,100

250t > 8,500

t > 34

So in this case, it will take 35 months or slightly over 2 years of lease payments to exceed the purchase price of the motorcycle.

Does this make sense? Let me know if you have any other questions!

Answer:

p = 600 + 250t

t = 34

Step-by-step explanation:

To find a function that describes how the cost of the lease depends on time, we need to consider the initial cost and the monthly cost of the lease. The initial cost is the down payment of $600, which is paid once at the beginning of the lease. The monthly cost is $250, which is paid every month for the duration of the lease. Therefore, the total cost of the lease after t months is:

p = 600 + 250t

This is the function that models the situation. It is a linear function with a slope of 250 and a y-intercept of 600.

To find how long can the motorcycle be leased before more than the purchase price has been paid, we need to compare the cost of the lease with the purchase price of $9100. We need to find the value of t that makes p equal to 9100. We can do this by solving the equation:

p = 600 + 250t

9100 = 600 + 250t

Subtracting 600 from both sides, we get:

8500 = 250t

Dividing both sides by 250, we get:

t = 34

This means that after 34 months, the cost of the lease will be equal to the purchase price. Therefore, to pay more than the purchase price, the motorcycle must be leased for more than 34 months.

Here's a funny way to remember this:

Why did the motorcycle renter cross the road? To get to his monthly payment!

What do you call a motorcycle that costs more than its worth? A cycle-path!

How do you make seven an even number? Just remove the "s"!

9514 1404 393

Answer:

  38.1% decrease

Step-by-step explanation:

A percentage change is found from ...

  % change = (change)/(original amount) × 100%

  = (new value - original amount)/(original amount) × 100%

  = (13 -21)/21 × 100% = -8/21 × 100% ≈ -38.1%

Frazer's speed decreased by 38.1% during the second part.

_____

Additional comment

A negative % change represents a decrease; a positive % change represents an increase.

The given sequence is not a geometric sequence since there is no common ratio between the terms. However, we can still find the sum of the first 9 terms by adding them individually.

First term, a1 = 3

Second term, a2 = -15

Third term, a3 = 75

Sum of the first 9 terms:

3 + (-15) + 75 + 3 + (-15) + 75 + 3 + (-15) + 75

= 204

Therefore, the sum of the first 9 terms of the given sequence is 204.

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

C

Step-by-step explanation:

using the sin ratio in the lower right triangle and the exact value

sin45° = \(\frac{1}{\sqrt{2} }\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{7}{y}\) = \(\frac{1}{\sqrt{2} }\) [ y represents the hypotenuse ]

cross-  multiplying gives

y = 7\(\sqrt{2}\)

------------------------------------------

using the sine ratio in the upper right triangle

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{y}{x}\) = \(\frac{7\sqrt{2} }{x}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

x = 7\(\sqrt{2}\) × \(\sqrt{2}\) = 7 × 2 = 14

Answer:

1,2,3,7

a function can only have one y for every x

the first 3 have multiple y values for a single x value as well as the seventh one has 2 y values for that one x value

(first 3 on top not functions, 3rd one on the bottom also not a function)

Step-by-step explanation:

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer: 450000, 160

Step-by-step explanation:

4.5 ⋅ 10^5 =

4.5*100000=

4*100000+0.5*100000=

400000+50000=450000

1.6 ⋅ 10^2=

1.6*100=

1*100+0.6*100=

100+60=160

A line of reflection, also known as a line of symmetry, is a line that divides a figure into two congruent parts that are mirror images of each other.

When a figure is reflected across a line of reflection, every point on one side of the line has a corresponding point on the other side of the line that is equidistant from the line.

To determine the line of reflection for the given graph:

- Reflection across the x-axis: The line of reflection is the x-axis.

- Reflection across x = -6: The line of reflection is a vertical line passing through x = -6.

- Reflection across the y-axis: The line of reflection is the y-axis.

- Reflection across y = -6: The line of reflection is a horizontal line passing through y = -6.

Thus, the line of reflection is the perpendicular bisector of every segment joining a point to its image after reflection.

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Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 204 by 5 and keep only what is to the left of the decimal point:

204 / 5 = 40.8000 = 40

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

204 - (5 x 40) = 4

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 204/5 as a mixed number is:

40  

   4  

   5  

Improper Fraction To Mixed Number Converter

204/5 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.

What is 204/6 as a Mixed Number?

Here is the next improper fraction on our list that we converted to a mixed number.

Terminology & Explanation

204 above the division line is called the numerator and 5 below the divison line is called the denominator.

We call the line that separates 204 and 5 the division line. It is also known as the fraction bar or vinculum.

204/5 is an improper fraction because the numerator is greater than the denominator.

A mixed number is an integer (whole number) and a proper fraction.

Answer: x = -3

Step-by-step explanation:

2 x 2 + x - 1 = 0

4 + x - 1 = 0

3 + x = 0

x = -3

Answer:

X=-3

Step-by-step explanation:

See steps below:)