Help me with this Quadratic function graph the function

Help Me With This Quadratic Function Graph The Function

Answers

Answer 1

The graph of the quadratic function can be seen on the image at the end.

How to graph the quadratic function?

The only way to graph or sketch a function by hand, is by finding some points on the graph and then connecting them.

To find the points we need to evaluate the quadratic equation.

if x = 0

y = 5*0^2 + 2 = 2

So we have the point (0, 2)

if x = 1

y = 5*1^2 + 2 = 7

So we have the point (1, 7)

if x = -1

y = 5*(-1)^2 + 2 = 7

So we have the point (-1, 7)

And so on, once you have enough points, you can graph them on the coordinate axis and then connect them. The graph of the quadratic equation can be seen on the image at the end.

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Help Me With This Quadratic Function Graph The Function

Related Questions

first combine like terms in 3/4a + 8 - 1/4a - 2

Answers

1/2a+6 is the simplified form of the expression  3/4a + 8 - 1/4a - 2

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 3/4a + 8 - 1/4a - 2

Three by four times of a plus eight minus one by four times of a minus 2.

In the given expression a is a variable and plus and minus signs are the operators.

3/4a + 8 - 1/4a - 2

3/4a and  - 1/4a are the like terms

Add the like terms

3/4a   - 1/4a +8 - 2

2/4 a +6

1/2a+6

Hence, 1/2a+6 is the simplified form of the expression  3/4a + 8 - 1/4a - 2

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can someone explain why 4(8x + 2) = 4(7x + 2 + x)

Answers

On solving the provided question, we cans ay that the equation is 4(8x + 2) = 4(7x + 2 + x); when we put x = , LHS = RHS

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation is

4(8x + 2) = 4(7x + 2 + x)

32x + 8 = 28x + 8 + 8x

36x - 32x = 0

4x = 0

x = 0

when we put x = , LHS = RHS

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Martina has been given a list of 5 bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different votes are possible?

Answers

Answer:

Step-by-step explanation:

Martina has been given 5 bands and asked to place a vote for her favorite and second favorite bands. The number of different votes possible can be calculated using combinations.

A combination is a way of selecting items from a set, where order does not matter and repetition is not allowed. To find the number of combinations, we can use the formula:

C(n, k) = n! / (k! * (n - k)!)

where:

n is the number of items

k is the number of items being selected

! denotes factorial, which is the product of all positive integers up to that number

Step-by-step, the calculation is as follows:

Determine the number of items and the number of items being selected:

n = 5 (the number of bands)

k = 2 (the number of bands Martina is voting for)

Calculate the number of combinations using the formula:

C(n, k) = n! / (k! * (n - k)!)

C(5, 2) = 5! / (2! * (5 - 2)!)

C(5, 2) = 120 / (2 * 3!)

C(5, 2) = 120 / (2 * 6)

C(5, 2) = 120 / 12

C(5, 2) = 10

So, there are 10 different votes possible for Martina's favorite and second favorite bands from the list of 5 bands.

Evaluate the expression when c equals 3 and y = -7. -2c+y

Answers

Answer: That’s easy… The answer is -13

Step-by-step explanation: -2 x 3 + -7 = ?

-2 x 3 = -6

-6 + -7 = -13

how to solve this question

Answers

Option B is correct

Just multiply the matrix but the whole number than add them up.

Please help me with this question

Answers

Answer:

= 7022cm

Step-by-step explanation:

The Perimeter of a rectangle =

[tex] = 2(l) + 2(w)[/tex]

From the question

L= 15.47m

w= 19.64m

therefore perimeter of a rectangle

=

[tex] = 2(15.47) + 2(19.64) \\ = 30.94 + 39.28 \\ = 70.22 m[/tex]

Also since rectangle are in centimetres

than if. 1 m = 100cm

than 70.22m = ?

therefore 70.22/1 = 100cm

=7022cm

therefore the Perimeter of a rectangle = 7022

Graph the image of square CDEF after a dilation with a scale factor of
1
2
, centered at the origin.

Answers

Answer:

Step-by-step explanation:

To graph the image of square CDEF after a dilation with a scale factor of 2, centered at the origin, you would need to double the x and y-coordinates of each vertex of the square.

Assuming square CDEF has vertices at (a, b), (a, b + 1), (a + 1, b + 1), and (a + 1, b), the image of the square after the dilation would have vertices at:

(2a, 2b)

(2a, 2b + 2)

(2a + 2, 2b + 2)

(2a + 2, 2b)

So, the side length of the image square would be double the side length of the original square, and its overall shape would be the same.

To graph the image, you would plot each of the new vertices and connect them to form the image square.

The solution is given below.

What  is a square?

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

here, we have,

To graph the image of square CDEF after a dilation with a scale factor of 2, centered at the origin,

we would need to double the x and y-coordinates of each vertex of the square.

Assuming square CDEF has vertices at (a, b), (a, b + 1), (a + 1, b + 1), and (a + 1, b), the image of the square after the dilation would have vertices at:

(2a, 2b)

(2a, 2b + 2)

(2a + 2, 2b + 2)

(2a + 2, 2b)

So, the side length of the image square would be double the side length of the original square, and its overall shape would be the same.

To graph the image, we would plot each of the new vertices and connect them to form the image square.

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A certain species of bacteria in a laboratory culture begins with 50 cells and doubles in number every 30 minutes. Write a function
fix) to model the situation where x is the number of 30-minute time periods.

Answers

since we know the number is doubling, so if say it was "x" right now so 30 minutes later will be "x" + 100 of "x", namely 2x, so that simply means the rate of growth is 100%.

[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &50\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.00\\ t=minutes\\ c=period \dotfill &30 \end{cases} \\\\\\ A=P(1 + 1.00)^{\frac{t}{30}}\implies A=P(2)^{\frac{t}{30}}\hspace{5em}f(x)=P(2)^{\frac{x}{30}}[/tex]

What are the coordinates of (-5,6) after a dilation of 2 centered at the origin

Answers

Answer:

(-10, 12).

Step-by-step explanation:

A dilation with a scale factor of 2 centered at the origin expands distances from the origin by a factor of 2. If a point in the plane is represented by the coordinates (x, y), then the point obtained by a dilation centered at the origin with scale factor k is represented by (kx, ky).

So, if the original point is (-5, 6), then after the dilation of 2 centered at the origin, the new point is represented by (2 * -5, 2 * 6) = (-10, 12).

So the coordinates of (-5, 6) after a dilation of 2 centered at the origin are (-10, 12).

What is b in this? Y=-1/3+b
Or how do i graph it?
NEED ASAP

Answers

The equation of line passing through the points (-2, 4) & (4, 2) is :

y = -1/3 x + 6

The value of b = 6

What is the equation of line?

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

To find the equation of the line passing through the two points (-2, 4) and (4, 2), we can use the point-slope form of a line. The point-slope form of a line is given by:

y - y₁ = m(x - x₁)

where m is the slope of the line and (x₁, y₁) is any point on the line.

To find the slope of the line, we can use the formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the two given points.

Plugging in the values for the given points, we get:

m = (2 - 4) / (4 - (-2))

m = -2 / 6

m = -1/3

Next, we can use one of the given points to write the equation in point-slope form:

y - 4 = -1/3 (x - (-2))

y - 4 = -1/3 x + 2

y = -1/3 x + 6

This is the equation of the line passing through the two given points (-2, 4) and (4, 2).

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PLease help question below

Answers

The statement that is true about the graphs is Graph A is a linear function because it has a constant rate of change

What is a graph?

A graph is a pictorial representation of a function.

How to find which statemnt is true?

Given the graphs A and B, to determine which statement is true, we need to find the characteristics of each graph.

Characteristics of graph AGraph A is a linear graphGraph A has a constant rate of changeGraph A has only one x interceptGraph A has only one y - intercept

Characteristics of graph BGraph B is not a linear graphGraph B does not have a constant rate of changeGraph B has multiple x interceptsGraph B has only one y - intercept

Comparing all the statements with the given characteristics of both graphs, we see that the statement that is true is Graph A is a linear function because it has a constant rate of change

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Examine the triangle below, solve for t, round to the nearest whole number.
T
37
46°
A
84°
t
D

Answers

In the triangle, the nearest whole number of the side t is 28.

What is the sine rule of a triangle?

The sine rule states that the ratios of the sides to their corresponding opposite angles are equal to a particular value. This value gives the circumradius of that triangle.

The sum of three angles in a triangle is 180°.

Find the angle ∠T for ∠A=46° and ∠D=84°.

∠A+∠D+∠T=180°

46°+84°+∠T=180°

130°+∠T=180°

∠T=50°

The sine rule for triangle ABC is [tex]\[\frac{a}{{\sin A }} = \frac{{37}}{{\sin B }} = \frac{c}{{\sin C }} = 2R\][/tex], where R is the circumradius and a, b, and c are the opposite sides of the angles ∠A, ∠B, and ∠C, respectively.

On applying the sine rule to triangle ADT, the result becomes [tex]\[\frac{a}{{\sin 46^\circ }} = \frac{{37}}{{\sin 84^\circ }} = \frac{t}{{\sin 50^\circ }} = 2R\][/tex].

Take the equation [tex]\frac{{37}}{{\sin 84^\circ }} = \frac{t}{{\sin 50^\circ }}[/tex] and find t.

[tex]\[\begin{array}{l}t = \frac{{37\sin 50^\circ }}{{\sin 84^\circ }}\\ \approx 28.4997\\ \approx 28\end{array}\][/tex]

Therefore, the nearest round whole number of t is 28.

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Find the sum of the infinite geometric series, if possible. (Round your answer to three decimal places.)

Σ
n = 0 6(0.75)n
STEP 1: Determine the first term of the infinite geometric series.
a1 =
24

STEP 2: Find the common ratio of the infinite geometric series.
r =

STEP 3: Based on your results from Step 1 and Step 2, the Sum of an Infinite Geometric Series Formula may be applied to this series. What guarantees the formula will work in this case?
The common ratio has an absolute value less than 1.
The first term of the series has an absolute value less than 1.
The common ratio has an absolute value less than the first term of the series.
The common ratio is less than the first term of the series.
The common ratio is less than one.
The first term of the series has an absolute value greater than the common ratio.
The first term of the series is positive.

STEP 4: Compute the sum of the series using the Sum of an Infinite Geometric Series Formula. Round your answer to three decimal places.
Sn =

Answers

STEP 1: a1 = 6.

STEP 2:  r = 0.75

STEP 3: The common ratio is less than one.

STEP 4: The sum of the  Sum of the Infinite Geometric series is Sn = 24

How to find the sum of the infinite geometric series?

Since we have the expression for the sum of the infinite geometric series

[tex]\[ \sum_{n=0}^{\infty} 6(0.75)^{n} \][/tex]

STEP 1:

The first term of the infinite geometric series is 6. Thus, a1 = 6.

STEP 2:

The common ratio of the infinite geometric series is 0.75. Thus, r = 0.75

STEP 3:

The common ratio is less than one.

Because Sn = a/(1 - r)  is the formula we use when the common ratio is less than 1.

STEP 4:

Sn = a/(1 - r)

Sn = 6/(1 - 0.75) = 24

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Which expressions are equivalent to the given complex number?
45 + 2i
C
(13 + 4i) + (32 - 6i)
000
(13 + 4i) + 2(7 + 2i)(2 -i)
(2 - 8i) + 2(9 + 6i)(1 - i)
4i) + (36
2i)
(2 + 8i) + (30 - 6i)
0 (9 + 4i) + 2(4 + 7i)(1 - 2i)

Answers

The equivalent expressions of 45 + 2i are (13 + 4i) + (32 - 6i) and  (9 + 4i) + 2(4 + 7i)(1 - 2i)

How to determine the equivalent expressions

From the question, we have the following parameters that can be used in our computation:

Complex number: 45 + 2i

Next, we test the options:

(13 + 4i) + (32 - 6i) = 13 + 4i + 32 - 6i

(13 + 4i) + (32 - 6i) = 45 - 2i --- true

(13 + 4i) + 2(7 + 2i)(2 -i) = (13 + 4i) + 2(14 - 7i + 4i - 2)

(13 + 4i) + 2(7 + 2i)(2 -i) = 13 + 4i + 28 - 14i + 8i - 4

(13 + 4i) + 2(7 + 2i)(2 -i) = 37 - 2i --- false

(2 + 8i) + (30 - 6i) = 2 + 8i + 30 - 6i

(2 + 8i) + (30 - 6i) = 32 + 2i--- false

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  (9 + 4i) + 2(4  - 8i + 7i + 14)

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  9 + 4i + 8  - 16i + 14i + 28

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  45+ 2i --- true


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How many rotational symmetries does this figure have?

The figure: F

Answers

The number of rotational symmetries that the figure has would be C. 1 at 360 degrees.

What is rotational symmetry ?

The number of times the geometric figure is similar to the original figure after undergoing a full revolution is known as the order of rotational symmetry. The order of rotational symmetry is determined by how many times the rotated figure perfectly fits within the original figure.

When the Figure F is rotated, the only times that it can be rotated to be able to give the same figure of F, is once, and that once has to be a full revolution of 360 degrees.

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The fish in a hatchery tank have mean length = 9.7 inches, with standard deviation = 1.2 inches. If a random sample of 40 fish is taken from the tank, what is the probability that their average length is less than 10 inches?

Answers

The probability that their average length is less than 10 inches is; 5.71%

How to find the probability from the z-score?

The formula for z-score is;

z = (x' - μ)/(σ/√n)

where;

x' is sample mean

μ is population mean

σ is standard deviation

n is sample size

We are given;

x' = 10 inches

μ = 9.7 inches

σ = 1.2 inches

n = 40

Thus;

z = (10 - 9.7)/(1.2/√40)

z = 0.3/0.1897367

z = 1.58

From online p-value from z-score calculator, we have;

P(z < 1.58) = 0.0571 or 5.71%

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n
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
11
18
24
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Answers

The value of the length of  hypotenuse when base length is  11cm and angle is 24°:  12.04 cm

What is trigonometry?

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that,

The length of hypotenuse = x

The length of base =  11 cm

The angle = 24°

It is known that,

cosФ = base/hypotenuse

         = 11/x

cos24° = 11/x

x = 11/cos24°

  = 12.4

Therefore, the length of the hypotenuse is approximately 12.04cm.

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A pharmaceutical company is carrying out
a trial for a new flea prevention
medication that is designed to work for
dogs or cats. They recruit pet owners and
ask them what flea prevention they
currently use. They randomly assign half of
the dogs in the study to the new flea
prevention medication, and the other half
of the dogs in the study will receive their
current prevention. A similar process is
carried out with the cats in the study.
What type of experiment design is this?
Choose 1 answer:
A
B
A randomized block design where the
pet types (dogs and cats) are the blocks
A systematic cluster design
A matched pairs design where the new
and existing flea medications are the pair

Answers

In the experiment in which researcher randomly assign half of the dogs in the study to the new flea prevention medication, and the other half of the dogs in the study will receive their current prevention, this type of experiment design is a randomized block design where the pet types (dogs and cats) are the blocks.

What is randomized block design in experiment design?

Randomized block design is a type of experimental design that is used to control for the effects of extraneous variables. It involves dividing the subjects or treatments into groups, or blocks, that are similar with respect to the extraneous variable.

These blocks are then randomly assigned to the treatments being tested. By controlling for the extraneous variable in this way, the randomized block design can reduce error and increase the accuracy of the results.

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Answer:

answer B (Khan)

Step-by-step explanation:

A randomized block design where the pet types (dogs and cats) are the blocks

The American flag has 50 stars, 7 red stripes, and 6 white stripes. Write a ratio to represent the ratio of stars to red stripes.

Answers

The ratio of stars to red stripes is 50 to 7

How to write a ratio to represent the ratio of stars to red stripes.

from the question, we have the following parameters that can be used in our computation:

Number of stars = 50

Red stripes = 7

White stripes = 6

Using the above as a guide, we have the following:

Ratio = Stars : Red stripes

substitute the known values in the above equation, so, we have the following representation

Stars : Red stripes = 50 : 7

Hence, the ratio is 50 : 7

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Find the area of the figure pictured below.

Answers

The area of the composite figure is 41 ft square.

How to find the area of a figure?

The figure is a composite figure. A composite figure is a figure that has two or more shapes.

Therefore, the area of the composite figure is the sum of the individual area of the shapes.

Therefore,

area of the figure = area of rectangle 1 + area of rectangle 2

area of rectangle 1 = lw

where

l = lengthw = width

Therefore,

area of rectangle 1 = 2 × 4 = 8 ft²

area of rectangle 2 = 11 × 3 = 33 ft²

Hence,

area of the figure =  = 8 + 33

area of the figure = 41 ft²

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A line passes through the origin and (4, 6). What are two other points on this line?

Answers

Two other points on this line are (1, 1.5) and (2, 3)

How to determine the two other points on this line?

From the question, we have the following parameters that can be used in our computation:

A line passes through the originAnd it passes through (4, 6).

This means that the slope (m) of the line is

m = 6/4

Evaluate

m = 1.5

For the other points, we have

f(2) = 2 * 1.5 = 3

f(1) = 1 * 1.5 = 1.5

So, we have (1, 1.5) and (2, 3)

Hence, the points are (1, 1.5) and (2, 3)

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sandy ran for 22 minutes. Gary ran 7 minutes longer than sandy did. Herbert ran 12 minutes less than Gary. who ran the longest​

Answers

Answer:

So Gary ran the longest

Step-by-step explanation:

Gary ran for 22 minutes + 7 minutes = 29 minutes.

Herbert ran for 29 minutes - 12 minutes = 17 minutes.

So Gary ran the longest, followed by Sandy and then Herbert.

The shape of the distribution of the number of clase friends for the males is best characterized as

Answers

The shape of the distribution of the number of clase friends for the males is best characterized as Skewed to the higher values (right or positively skewed).

What are shapes called in math?

Construction of closed geometric shapes involves the usage of points, line segments, circles, and curves. These shapes are all around us. Circles, rectangles, triangles, and other shapes are examples of geometric shapes. Triangle-shaped slices make up the shape of a pizza

What are the basic shapes?

The basic shapes include the square, circle, triangle, and other simple shapes that cannot be further subdivided into the simpler shapes by general standards.

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What is your monthly take-home pay if your take-home pay is calculated as 20 hours per week at $11.66 per hour with 27% deducted for taxes and insurance?
Round intermediate calculations and the final answer to the nearest cent; use 365 days in a year.
Your monthly take-home pay is $

Answers

The monthly take-home pay is ¢ 68094. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The term "arithmetic operations" refers to four basic mathematical operations that can be used to express any real number. Addition, subtraction, multiplication, and division are the four operations.

We are given that take-home pay is calculated as 20 hours per week at $11.66 per hour with 27% deducted for taxes and insurance.

Considering 365 days in a year, there are 52 weeks in year and 4 weeks in a month.

In a week there are 20 hours

So, in 4 weeks, there will be 80 hours

Take - home pay before deductions = 80 * $11.66 = $932.8

Take - home pay after deductions = $932.8 - 27% of $932.8 = $680.94

This is equal to ¢ 68094.

Hence, the monthly take-home pay is ¢ 68094.

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johns orchard yielded a harvest of 460 apples and 340 oranges .He managed to sell 20%of the apples and 30%of the oranges. Which fruit notched up a better sale?

Answers

Answer:

oranges

Step-by-step explanation:

20% of 460 = 92

30% of 340 = 102


Hual takes out a $3200 student loan at 6.4% to help him with 2 years of community college. After finishing the 2 years, he transfers to a state university and
borrows another $12,400 to defray expenses for the 5 semesters he needs to graduate. He graduates 4 years and 4 months after acquiring the first loan and
payments are deferred for 3 months after graduation. The second loan was acquired 2 years after the first and had an interest rate of 7.6%. Find the total
amount of interest that will accrue until payments begin.
(a) Find the total amount of interest that will accrue for loan 1 (community college).
The total amount of interest that will accrue for loan 1 (community college) is $_____ Round your answer to two decimal
places, if necessary.
Part 2 of 3
A ALEKS-Erika Ramirez - Test 2-Chapter 7
(b) Find the total amount of interest that will accrue for loan 2 (state university).
The total amount of interest that will accrue for loan 2 (state university) is $____

Answers

Answer:

a) $4096 b) $1884,8 ■■ im not 100% sure

Step-by-step explanation:

a) 3200×0.064×2=$4096 in intrest

b) 12,400×0.076×2=$1884,8 in intrest

Mrs. Imperiale's credit card has an APR of 13.2%. She does not ever pay her balance off in full, so she always pays a finance charge. Her next billing cycle starts today. The billing period is 31 days long. She is planning to purchase $7,400 worth of new kitchen cabinets this billing cycle. She will use her tax refund to pay off her entire bill next month. If she purchases the kitchen cabinets on the last day of the billing cycle instead of the first day, how much would she save in finance charges? Round to the nearest ten dollars.

Answers

If Mrs. Imperiale's credit card has an APR of 13.2%. The amount she would  save in finance charges Round to the nearest ten dollars is $80.

What is the amount saved?

Finance charge if bought on the first day

Finance charge = (31 × 7400 ÷ 31) × (0.132 ÷ 12)

Finance charge = 7400  ×  0.011

Finance charge= $81.40

Finance charge if bought on the last day

Finance charge = (1 × 7400 ÷ 31) × (0.132 ÷ 12)

Finance charge = 238.709677 ×  0.011

Finance charge= $2.625

Finance charge = $2.63

Savings = $81.40 - $2.63

Savings = $78.77

Savings = $80 ( Approximately)

Therefore the savings is $80.

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Give the domain of
s(x)=6/25-x^2

Answers

Answer: The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value).

In this case, the function s(x) = 6/25 - x^2 has no restrictions on the input values for x, so the domain of the function is all real numbers.

Therefore, the domain of the function s(x) = 6/25 - x^2 is:

(-∞, ∞)

This means that the function can be evaluated for any real value of x.

Step-by-step explanation:

please, help with this one
r log a + y log c

Answers

The required r log a + y log c is equivalent to the expression as [tex]r log a + y log c = log (a^r c^y)[/tex].

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The expression r log a + y log c can be simplified using logarithmic properties. Specifically, we can use the rule that says:

[tex]log a^b = blog a[/tex]

Using this rule, we can write the expression as:

[tex]r log a + y log c = log a^r + log c^y[/tex]

Now we can use the rule that says:

log a + log b = log ab

to combine the two logarithms:

[tex]log a^r + log c^y = log (a^r c^y)[/tex]

Therefore, the expression r log a + y log c simplifies to:

[tex]r log a + y log c = log (a^r c^y)[/tex]

Learn more about simplification here:

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If your car gets 24 miles per​ gallon, how much does it cost to drive 450 miles when gasoline costs ​$2.70 per​ gallon?

Answers

Answer:

Cost $50.63

Step-by-step explanation:

To calculate the cost, we need to find out how many gallons of gasoline the car will consume in 450 miles. We can use the formula:

Gallons = Total miles / Miles per gallon

Gallons = 450 miles / 24 miles per gallon

Gallons = 18.75

Next, we multiply the number of gallons by the cost per gallon to get the total cost:

Total cost = Gallons * Cost per gallon

Total cost = 18.75 gallons * $2.70 per gallon

Total cost = $50.63

So, it will cost $50.63 to drive 450 miles when gasoline costs $2.70 per gallon and your car gets 24 miles per gallon.

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