This is the graph of f(x). What is the value of f(2)?10 УA. 6ОВ. 2С. 5ООD. 9

The years when the spending be more than $66 billion is in 4 years time.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation is given as y=12.7x+15.2 and the amount is $66 billion. Therefore, the value of x will be:

y=12.7x+15.2

66 = 12.7x + 15.2

Collect like terms

12.7x = 66 - 15.2

12.7x = 50.8

Divide

x = 50.8 / 12.7

x = 4

The number of years is 4.

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Answer:

y = -3x - 11

Step-by-step explanation:

Slope = -3

so...

-3x

y = -3x + (b)

given : (-5, 4) x=-5 y=4

4 = -3(-5) + b

4 = 15 + b

b = -11

so...

y = -3x - 11

Using Simple Interest, Ali has to pay 10241 after 3 years.

Simple interest is the interest that is accrued at a specific rate and for a specific length of time on a particular principal. It is based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued. Consider making a $100 (the principal) investment at a 5% yearly rate for a year. To calculate simple interest, multiply $100 by.05 interest per year to get $5 after a year.

If P is the principal, r is the rate, t is the time

SI = [tex]\frac{P \times r \times t}{100}[/tex]

Here,

Cost of sound system = 7700

Rate  = 11 %

Time = 3years

SI = [tex]\frac{7700 \times 11 \times 3}{100}[/tex]

  = 2541

Amount Ali has to pay after 3 year = 7700 + 2541

                                                        = 10241

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(a) The expression to represent the length of the rectangle is

h = (x-16/x)/(x/4+1).

(b) The length of the rectangular prism is L = ((7/x)-(3/5x))/(2/x)(4/x).

A rectangle is a quadrilateral with all four interior angles measures of 90°.

(a) Given that, the area of the rectangle is x-16/x and its width is x/4 +1.

Let the length of the rectangle be h, then it follows:

h×(x/4 + 1) = x - 16/x

h = (x-16/x)/(x/4+1)

Hence, the expression to represent the length of the rectangle is

h = (x-16/x)/(x/4+1).

(b) Given that, the volume of the rectangular prism is (7/x)-(3/5x), the width is 2/x, and the height is 4/x.

Let the length of the rectangular prism be L, then it follows:

L× (2/x) ×(4/x) = (7/x)-(3/5x)

L = ((7/x)-(3/5x))/(2/x)(4/x)

Hence, the length of the rectangular prism is L = ((7/x)-(3/5x))/(2/x)(4/x).

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The expression of the calculator form 3.687E in standard form is; 3.687 × 10¹

A standard form of a number in Math's is simply the representation of large numbers or small numbers using exponents to represent such numbers in standard form.

The correct definition of standard form can be explained in terms of decimal numbers that follows particular rules. We know that decimal numbers are the simplified form of fractions.

Thus, any number that can be written in form of a decimal number, between 1 and 10, multiplied by a power of 10, is said to be in standard form.

Thus, 3.687E simply means;

3.687 × 10¹

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Answer:

-6

Step-by-step explanation:

The result of the expression 2x+9+7x is 9x+9

The expression is 2x+9+7x

To solve this expression, first we have to rearrange the terms and do the arithmetic operations in the expression.

Expressions is the mathematical statements that have a minimum of two terms containing numbers or variables, connected by an operator in between. The operator maybe addition, subtraction, division or multiplication. To  solve the mathematical expression we have to do the arithmetic operation on like terms.

The expression is 2x+9+7x

Rearrange the terms in the expression

= 2x+7x+9

Add the like terms in the expression

= (2+7)x+9

= 9x+9

Hence, the result of the expression 2x+9+7x is 9x+9

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Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard  deviation is going to be smaller than the range of scores.

Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:

Range of scores=largest score-lowest score

                          =10-5

                           =5

Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10

Standard deviation which refers to the average spread of the distribution,  will now be considered to be smaller since the range of scores is low.

Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.

Hence, smaller than the range of scores.

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The terms of the polynomial, which has a degree of 2, are ordered as follows in decreasing order: 17x² + 27x

Sums of terms of the form  k⋅xⁿ where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5.

Given polynomial: 5x + 17x² + 22x

We need to simplify this polynomial first.

5x + 17x² + 22x = 27x + 17x²

Now we will put the term with highest degree first and arrange the terms of this polynomial.

17x² + 27x

Since, the highest power of terms in this polynomial is 2.

We can say that the degree of polynomial is 2.

Therefore, the polynomial has a degree of 2 and its terms are arranged in decreasing order as follows: 17x² + 27x.

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Answer:

about 9.4

Step-by-step explanation:

The value of angle a, b and c in the triangle are 60, 90 and 30 degrees respectively and the summation of these angles is equal to 180 degree.

The total sum of angles in a triangle is equal to 180 degrees.

To solve this problem, we have to write out equations to represent the unknown values.

Let;

Mathematically,

[tex]a + b + c = 180^0[/tex]

Let's represent each of the statement mathematically;

[tex]y = 3z...eq(i)\\x = 2z ...eq(ii)\\[/tex]

Let's substitute the values and find the value of angle C

[tex]a + b + c = 180\\2z + 3z + z = 180\\6z = 180\\z = 30\\c = 30^0\\b = 90^0\\a = 60^0[/tex]

From the calculations above, the value of a, b and c are 60 degrees, 90 degrees and 30 degrees respectively.

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Answer: B

Step-by-step explanation: B is larger by about 9.42 in

Answer:

y=mx+b its decribe that

Answer:

21 = k

Step-by-step explanation:

Vertical angles are equal

170 = 6k+44

Subtract 44 from each side

170-44 = 6k+44-44

126 = 6k

Divide each side by 6

126/6 = 6k/6

21 = k

Answer:

A

Step-by-step explanation:

beacuse the rest are false

Answer:

See below

Step-by-step explanation:

Supplementary angles sum to 180 degrees

x  = angle 1

(x+32.6 ) = angle two

x +    (x+32.6)  =180

2x = 180-32.6

x = 73.7       angle 2 = 106.3°

Each gallon of water weighs by itself is 8.4 pounds, option (C) 8.4 pounds is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

From the data given:

When the Amount of Water in Can (gallons) = 0

Weight of Cans (pounds) = 2

It means the weight of the can = 2 pounds

For the 0.5 gallons, the weight of the can = 6.2 pounds

For the 0.5 gallons, the weight of the water = 6.2 - 2 = 4.2 pounds

For the 1 gallon, the weight of the water = 2x4.2 pounds

= 8.4 pounds

Thus, each gallon of water weighs by itself is 8.4 pounds, option (C) 8.4 pounds is correct.

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The equation that represents the graphed line is y = -3x + 2. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

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

The kine is passing through (0, 2) and (1, -1). Then the slope of the line is given as,

m = (2 + 1) / (0 - 1)

m = -3

And the y-intercept of the line is 2. Then the equation of the line is given as,

y = -3x + 2

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The complete question is attached below.

Answer:

0.78

Step-by-step explanation:

if divide 10.14 by 13 it will be 0.78 hope this helps

Answer:

how many miles did they walk

Step-by-step explanation:

you didn't put the full question

The function  f(x)= 1/2x - 2 and g(x)= -2x -4 are not inverses of each other.

An inverse function can be described as the function that can undo another function, it is relationship between two function which is not directly proportional to each other.

An inverse function will follow the expression f^{-1},

Inverse of  1(/2x - 2 ) = (2x - 2 )

Inverse of  g(x)= (-2x -4) = 1/ (-2x -4)

This implies implies that Inverse of  g(x)  ≠  f(x)

Therefore, the  function of f(x)= 1/2x - 2 and g(x)= -2x -4 can not be regarded as inverse of each other.

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To determine if the three numbers can be the measures of the sides of a triangle:

According to the Triangle Inequality theorem to construct a triangle, the sum of the two sides of the triangle is greater than the third side i.e x + y>z

1) 9, 7, 13

So, 9+7 > 13

16 > 13

7+ 13 > 9

20 > 9

9+13 > 7

22 > 7

Yes, they can be the measures of the sides of a triangle.

2) 26, 12, 11

So, 26+12 > 11

38 > 11

12+ 11 > 26

23 < 26

No, they cannot be the measures of the sides of a triangle.

3) 11, 2,9

So, 11+2 > 9

13 > 9

2+ 9 > 11

11 = 11

No, they cannot be the measures of the sides of a triangle.

4) 6, 11, 12

So, 11+6 > 12

17 > 9

11+12 > 6 and 12+6 > 11

Yes, they can be the measures of the sides of a triangle.

To determine the range of the third side we find the maximum value and minimum value using two sides of a triangle.

Let's assume that x is the third side of the triangle.

5) 12,9

So, the maximum value of the third side is 12+9 = 21 and the minimum value is 12-9 = 3.

Hence, the range is 3<x<21.

6) 8, 11

The maximum value of the third side is 8+11 = 19 and the minimum value is 11-8 = 7.

Hence, the range is 3<x<19.

7) 11,6

The maximum value of the third side is 11+6 = 17 and the minimum value is 11-6 = 5.

Hence, the range is 5<x<17.

8) 12,8​

The maximum value of the third side is 12+8 = 20 and the minimum value is 12-8 = 4.

Hence, the range is 4<x<20.

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Using the t-distribution, it is found that:

a. The margin of error is of $122.4.

b. The 95% confidence interval for the population mean amount spent on restaurants and carryout food is of ($1,750.6, $1,995.4).

c. The estimate is the sample mean of $1,873.

The bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the parameters are described as follows:

In the context of this problem, the values of these parameters are given by:

[tex]\overline{x} = 1873, s = 550, n = 80[/tex]

Hence, for item c, the estimate is of $1,873, as it is the sample mean.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 80 - 1 = 79 df, is t = 1.9905.

The margin of error is given by:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

Hence:

[tex]M = 1.9905\frac{550}{\sqrt{80}} = 122.4[/tex]

The confidence interval is the sample mean plus/minus the margin of error, hence:

The problem is given by the image at the end of the answer.

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Answer:

Ryan had 10.20 dollars and Jeffery had 11.40 dollars.

Step-by-step explanation:

Let Ryan have x dollars originally, then Jeffrey has x + 1.20 dollars.

From the given info:

After getting 7.50 from Ryan, Jeffrey has:

x + 1.2 + 7.5 dollars and Ryan has x - 7.50 dollars.

Jeffreys money is now is 7 times as much as Ryan's, so:

x + 8.7 = 7(x - 7.5)

x + 8.7 = 7x - 52.5

8.7 + 52.5 = 7x - x

6x = 61.2

x = 10.20 dollars.

Answer:you could do

You would need to rile a two and a one together though

Sin 73° has a value of 0.9563. (approximately).

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle. If you know the lengths of two of the triangle's sides, you can use trigonometric ratios to get the measurements of one (or both) of the acute angles.

Given Data

Trigonometric ratio of

sin73°

The sine trigonometric function for an angle of 73 degrees has a value of sin 73 degrees.

Sin 73° has a value of 0.9563. (approximately).

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