Linear functions is y = x - 7 a linear function?

Answer:

c

Step-by-step explanation:

The electricity cost $489.76 more than the interest.

Thus, option C is correct.

Interest cost is the total measure of interest a borrower pays on an obligation commitment over the existence of the getting. Interest is paid on the obligation notwithstanding reimbursement of head.

The formula will be:

I = A - P

I = 663(1 + 0.1528/12)^(5*12) - 663

I = 663(1 + 0.1528/12)^60- 663

I = 1416.51 - 663

I = $753.51

The bill for electricity for 7 years and 52 weeks per year  will be

= 7 x 52 x 2.14

= $778.96

The electricity cost is bigger than the interest:

$778.96 is bigger than $753.51 by $25.45:

$778.96 - $753.51 = $25.45.

Therefore, option C is correct.

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The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:

35

Step-by-step explanation:

i did the sqrt of 1225 and got 35 so there should be 35 rows each with 25 plants

Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.

Answer:   $6,100,000

Step-by-step explanation:

The chart legend says it represents a company's sales, in millions of dollars.

The years 2005 to 2012 are listed across the bottom of the chart.

The sales (in millions of dollars) are represented vertically (the up-and-down direction).

We are asked for the sales in 2011, and asked to write out the full number of dollars in sales.

We go across the bottom to the year 2011, then go up to the plot point on the chart. The plot point has a small label next to it that says 6.1.

The chart legend told us that the chart was in millions of dollars, so the 6.1 means $6.1 million dollars.

To 'fully write out' $6.1 million, we would write $6,100,000

Answer ---> $6,100,000

Like a lot of these homework problems, it could be a bit more detailed about the formatting of the answer. It doesn't say whether to include the decimal point and two additional zeros on the end for 'no cents'.

That would be $6,100,000.00

Also, I don't know if your homework form is paper or online. If it is online, the form may not accept the answer as correct if you put in all the commas. If not, skip them. Hopefully, you have enough experience with your own homework assignments to know that.

I hope this helps.

After answering the presented question, we can conclude that equation Therefore, the solution to the given system of equations is (x, y) = (2, 2).

An equation is a mathematical statement that proves the equality of two expressions connected by the equal symbol '='. 2x - 5 Equals 13, for example. Expressions include 2x-5 and 13. The character '=' joins the two expressions. A mathematical formula with two algebraic expressions on either side of an equal sign (=) is known as an equation. It demonstrates the relationship of equivalence between the left and right formulas. In every formula, LHS = RHS (left side = right side).

\(4x + y = 10 ...(1)\\y = 2x - 2 ...(2)\\y = 2x - 2 ...(2)\\y + 2 = 2x ...(2)\\x = (y+2)/2 ...(3)\\4x + y = 10 ...(1)\\4[(y+2)/2] + y = 10 \\\)

\(2(y+2) + y = 10 \\3y + 4 = 10\\3y = 6\\y = 2 \\y = 2x - 2 ...(2)\\2 = 2x - 2 \\4 = 2x \\x = 2 \\\)

Therefore, the solution to the given system of equations is (x, y) = (2, 2).

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

The graph of the function would be a parabola with zeros at (0,0), (-1,4), (-3,0), (2,0), (0,-2), (3,0), (-1,0), (0,-3).

A function is a mathematical relationship between two or more variables where one variable (the output) is determined by the values of the other variables (the inputs). Functions are often written as an equation, such as y = f(x), where x is the input and y is the output. The equation defines the relationship between x and y and how the output (y) changes as the input (x) changes. Functions can be used to model real-life situations, such as predicting population growth or modeling the motion of objects.

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Calculating the ratio between each pair of values in a table allows you to determine whether a proportional relationship is present. The table depicts a proportional relationship if all of those ratios are the same.

y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, graphs, and equations can all be used to depict proportional relationships.

The equation y = kx represents a proportional relationship between two quantities y and x that have the same proportionality constant, k.

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Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

Answer: 5(f+7)

Step-by-step explanation: I know you didn't ask for an explanation but here:

First what you want to do is find what both terms have in common, the LCM, (least common multiple), is the only thing common between them, which is 5, so divide 35 by 5, which is 7, and since you divided by 5, you put it outside, and put f and 7 together.

P(2 ≤ x ≤ 3)  = 0.55 , using probability distribution.

What do you mean by probability distribution?

A frequency distribution that has been idealised is a probability distribution.

An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears.

The probability of occurrence of a value determines how frequently it appears in a sample.

A value will occur more frequently in a sample the higher its probability.

It is given that discrete random variable has a distribution of

P(x = 1) = 0.15, P(x = 2) = 0.39, P(x = 3) = 0.16, P(x = 4) = 0.30

For P(2 ≤ x ≤ 3) = P(2) + P(3) = 0.39 + 0.16 = 0.55

Therefore, P(2 ≤ x ≤ 3)  = 0.55

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Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answer:it would be 20

Step-by-step explanation:

Answer: 20.

Step-by-step explanation: 60% of 50 is 30 (students). 20% of it would be 20 (students).

The fourth degree Taylor polynomial of f(x) centered at 2 the \(T_4(2.4) = 11.0225\).

What is Taylor polynomial?

The Taylor series or Taylor expansion of a function in mathematics is the infinite sum of terms expressed in terms of the function's derivatives at one particular point. The function and the sum of its Taylor series are roughly equal for the majority of common functions at this point.

Given:

\(f(x) = e^x\)  centered at 2.

\(f(2) = e^2\)

\(f'(x) = \frac{d}{dx}e^x = e^x , f'(2) = e^2\\f"(x) = \frac{d^2}{dx}(e^x) = e^x, f"(2) = e^2\\ f^3(x) = \frac{d^3}{dx}(e^x) = e^x, f^3(2) = e^2\\ f^4(x) = \frac{d^4}{dx}(e^x) = e^x, f^4(2) = e^2\)

Therefore,

\(T_4(x) = f(2) + \frac{f'(2)(x-2)}{1!} + \frac{f"(2)(x-2)^2}{2!} + \frac{f^3(2)(x-2)^3}{3!} + \frac{f^4(2)(x-2)^4}{4!} \\T_4(x) = e^2 [1 + (x - 2) + \frac{(x-2)^2}{2}+\frac{(x-2)^3}{6}+ \frac{(x-2)^4}{24} \\ T_4(2.4) = e^2[1 + (2.4-2) + \frac{(2.4-2)^2}{2}+ \frac{(2.4-2)^3}{6}+\frac{(2.4-2)^4}{24}]\\ T_4(2.4) = 11.0225\)

Hence, the fourth degree Taylor polynomial of f(x) centered at 2 the \(T_4(2.4) = 11.0225\).

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Answer:

30

Step-by-step explanation:

12=40%

so

if 40%=12

100%=?

100x12=1200

1200÷40=30

Answer:

2(336x−25)

Step-by-step explanation:

2(336x−25)

Answer:

21

Step-by-step explanation:

Answer:

x=3/4

Step-by-step explanation:

First, we must combine like terms and find the common denominator (which is 5):

12/5x-2x

12/5x-10/5x=2/5x

Then, we cross multiply

\(\frac{2x}{5} =\frac{3}{10}\)= 2x(10)=(3)(5)=20x=15

Then, we divide by 20 to get x:

x=15/20

and finally, we simplify the fraction

x=3/4

Answer:

-1/-3

Step-by-step explanation:

m=y2-y1/x2-x1

(-2)-(-1)=(-1)

(-1)-2=(-3)

-1/-3

hope this helps =^.,.^=

if it did pls mark brainliest :3

Answer:

x = 20 degrees

Step-by-step explanation:

We know this because angles next to each other in parallelograms add up to 180 degrees, so if we create an equation, 3x + 120 = 180 meaning that 3x = 60, which means that x = 20 degrees.

Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm

To answer the question, we need to know Hooke's law.

This states that the force, F on a stretched spring is directly proportional to its extension, x.

So, F ∝ x

Mathematically, F = kx where k = spring constant

Making x subject of the formula, we have

x = F/k

Given that F = 37 N and k = 380 N/m, we have

x = F/k

x = 37 N/380 N/m

x = 0.0974 m

x = 9.74 cm

So, the spring stretches by 9.74 cm

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Answer:

SEn estadística, las medidas de dispersión (también llamadas variabilidad, dispersión o propagación) es el grado en que una distribución se estira o exprime. ​ Ejemplos comunes de medidas de dispersión estadística son la varianza, la desviación estándar y el rango intercuartil.

For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

y+2=-4(x-2)

for x-intercept=(x,0)

2=-4(x-2)

2=-4x+8

4x=6

x=6/4=3/2

for y-intercept=(0,y)

y+2=-4(*-2)

y=6

The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.

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Answer:

10.6 oz

Step-by-step explanation:

X × 0.25 = 0.265

x= 2.65/0.25= 10.6 oz

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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