Not sure how I would solve this

Answer:

Terms:

1) = 7/3

2) = -7/9

3) = 7/27

4) = -7/81

Step-by-step explanation:

Your question did not state the equation of f(x), however; assuming f(x) = 7/(1+x)  ,....... at  a = 2

see solution attached then use it to work your f(x)

Answer:

The range is from 1.62 to 1.98.

Step-by-step explanation:

We have to solve for the percentage of the particular value if the range of the answer should be +/- 10% of the particular value.

The value given is 1.8, we thus want to find 10% of that: 1.8 * 10/100 = 0.18

Then, add this value to the original value of 1.8: 1.8+0.18 = 1.98

Furthermore, subtract .18 from from the original value of 1.8: 1.8-0.18 = 1.62

The range will be between these two numbers, so the range is from 1.62 to 1.98.

The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.

The percent change points is -1.61%/

The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.

Value before the open of June 22nd, 2010 = value at the close + change

17.89 + 1095.31 = 1,113.20 points

Percentage change = (change in points / points before open) x 100

(-17.89 /1,113.20) x 100 = -1.61%

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Answer:

i would say d. not sure tho

Step-by-step explanation:

best of luck hop this helps

The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Answer:

It's in England

Step-by-step explanation:

England is the furthest west red dot on top (furthest left). England is also known as the United Kingdom or Britain, and it's an island.

Megalithic Site Name: Stonehenge

Nation/Country/State: United Kingdom, England

District/Region/Parish/County: Salisbury, Amesbury

Local Location: Salisbury Plain

GPS: 51°10'44" N, 1°49'35" W

Grid: SU 1224 4218

Applying the necessary circle theorem, the measures of the missing angles are: 12. m<KJL = 115 degrees.         14. 76 degrees.

12. The circle theorem to apply is the angle of intersecting chords theorem, which states that:

m<KJL = 1/2(measure of arc KL + measure of arc MT)

Plug in the values:

m<KJL = 1/2(160 + 70)

m<KJL = 115 degrees.

14. The circle theorem to apply is the tangent theorem:

this means that the tangents form right angles with the radii of the circle, therefore:

Measure of the indicated angle = 360 - 90 - 90 - 104 = 76 degrees.

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The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer: that’s the question

Step-by-step explanation:

Answer:

2n+2

_____

9 2n

Exp:

I work as a math teacher

Answer:

bust a uhhh

Step-by-step explanation:

ya dig

Answer:

Total number of children = 70

Step-by-step explanation:

Given:

Number of kids buy popcorn = 42

Percent of kids buy popcorn = 60% = 0.6

Find:

Total number of children

Computation:

Total number of children = Number of kids buy popcorn / Percent of kids buy popcorn

Total number of children = 42 / 0.6

Total number of children = 70

It should be noted that xy = 3 is not a direct variation but an inverse variation.

Inverse variation is a relationship between two variables in which the value of one increases while the value of the other decreases.

When x is not equal to zero, direct variation is a linear function defined by an equation of the form y = kx. Inverse variation is a nonlinear function defined by the equation xy = k when x is greater than zero and k is a nonzero real number constant.

In conclusion, it's an inverse variation.

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The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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Answer:

y = -4

Step-by-step explanation:

3y - 2(5y - 7) = -9y + 6 (Given)

3y - 10y + 14 = -9y + 6 (Distribute)

-7y + 14 = -9y + 6 (Add like terms)

2y + 14 = 6 (Add 9y on both sides)

2y = -8 (Subtract 14 on both sides)

y = -4 (Divide 2 on both sides)

You can check by substituting the solution for y:

3(-4) - 2(5(-4) - 7) = -9(-4) + 6

-12 - 2(-20 - 7) = 36 + 6

-12 - 2(-27) = 42

-12 + 54 = 42

42 = 42

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:

Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:

(x^3 - 12x^2) + (-2x + 24)

Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:

x^2(x - 12) - 2(x - 12)

Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:

(x - 12)(x^2 - 2)

Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

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Answer:

82, 84

Step-by-step explanation:

Answer:

where x1=-3.71 and x2=1.21

Step-by-step explanation:

first= 2x+5x-9=0, a=2,b=5,c=-9, x=

\( \sqrt{ {5 }^{2} } - 4 \times 2( - 9) \: over4\)

second x=

\( \sqrt[ - 5 + ]{25 + 72} over4\)

x=

\( \sqrt[ - 5 +4 ]{97} \)

\( \sqrt[ - 5 - 4]{97} \)

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

The answer is 15.24in.2

Step-by-step explanation:

I did the math and multiplied random numbers between 15 and 15.50 and eventually I got 239.425 by multiplying 15.24 with 3.14 and 2. The correct answer is actually 15.25 but on the test I guess they rounded it. Plz give brainliest.

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

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y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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Answer:

Diana has 14 dimes and 12 nickels

Step-by-step explanation:

Create a system of equations, where d is the number of dimes and n is the number of nickels:

d + n = 26

0.1d + 0.05n = 2

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1n = -2.6

0.1d + 0.05n = 2

Add these together, then solve for n:

-0.05n = -0.6

n = 12

So, she has 12 nickels. To find the number of dimes, subtract 12 from 26, since there were 26 coins in total and we found that she had 12 nickels.

26 - 12

= 14

So, Diana has 14 dimes and 12 nickels

Answer:

Age of younger brother is 14 years..

And age if elder brother is 29 years.

Step-by-step explanation:

Let us denote 'x' as the age of smaller brother,

then, the age of younger brother will be x+15 years.

Equation formed:-

x+x+15 =43

2x+15 = 43

2x = 43-15

2x = 28

X = 28/2

X = 14

Age of younger brother is 14 years.

Age of elder brother = x + 15

Age of elder brother 14 + 15 = 29 years.