!!!HELP!!!

Let f(x)=−|x−2|+2 and g(x)=1/2x − 2. Graph the functions in the same coordinate plane.

What are the solutions to f(x)=g(x)?

Enter your answers in the boxes from smallest to largest.

x = and x =

The fraction computed shows that 9/32 of the shapes are circles.

Find the equivalent ratio for the total shapes:

Total Black Shapes : Total White Shapes = 5 : 11

Multiply by 2:

Total Black Shapes: Total White Shapes = 10 : 22

Find the ratio for the white shapes:

White circles : White squares = 3 : 7

Sum of the units = 3 + 7

Sum of the units = 10

Find the equivalent ratio for the total shapes:

Black circles : Black squares = 3 : 8

Multiply by 2:

Black circles : Black squares = 6 : 16

Sum of the units = 6 + 16

Sum of the units = 22

Combine the ratios:

white circles : white squares : black circles : black square = 3 : 7 : 6 : 16

Circles = 3 + 6

Circles = 9 units

Total = 3 + 7 + 6 + 16

Total = 32 units

Find the fraction of all the shapes that are circles:

Fraction = 9/32

Therefore, 9/32 of the shapes are circles

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

Step-by-step explanation:

Conclusion:

Therefore:

Hoped this helped.

\(GeniusUser\)

Answer:

To three decimal places, The process capability index is 0.167

Step-by-step explanation:

We have to find the process capability index,

Upper specification = 16.5 ounces,

Lowe specification = 15.5 ounces

Mean = 16.0 ounces

Standard Deviation = S = 1 ounce

process capability index = (upper specification - lower specification)/6S

process capability index = (16.5 - 15.5)/6(1)

= 1/6

Process capability index = 1/6 = 0.16666667

To 3 decimal places, we get,

Process capability index = 0.167

The solution is, the value of BD is 9,  the height of the camp tent entrance.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

here, we have,

If AB=BC=15 feet and AC=24 feet,

now, we have to find  BD, the height of the camp tent entrance.

we get,

BD is a perpendicular bisector of AC.

now, we have,

AD = DC = 24/2 = 12

by using Pythagorean theorem, we get,

BD² = AB² - AD²

solving we get,

BD = 9

Hence, The solution is, the value of BD is 9,  the height of the camp tent entrance.

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Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

\(\frac{1}{a^{m} }\) ⇔ \(a^{-m}\) , then

\(\frac{2}{x^2}\) = 2 × \(\frac{1}{x^2}\) = 2\(x^{-2}\)

Answer:

\( {x}^{4} - 2x + 8 \div x\)

Answer:

A

Step-by-step explanation:

The orthocenter of a triangle is the point where the altitudes of the triangle intersect. The three altitudes of a triangle are always concurrent, meaning that they meet at the same point. As a quick reminder, the altitude is the line segment that is perpendicular a side and touches the corner opposite to the side.

The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.

A linear function is modeled by:

y = mx + b

In which:

For a line of best-fit, the y-intercept is given by:

\(b = \overline{y} - m\overline{x}\)

The parameters in this problem are given as follows:

\(m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088\)

Then:

\(b = 10.088 - 4.915(14.347) = -60.428\)

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Answer:

(a)4

(b)7

Explanation:

Given f(x) and g(x) defined below:

(a) f(g(3))

The value of f(g(3)) is 4.

(b) (g o f)(9)

The value of (g o f)(9) is 7.

Answer:

A'(-3, -2), B'(-1, -7), C'(6, -1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. If an object is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation

If a point X(x, y) is reflected across the x axis, the new location is X'(x, -y).

If triangle ABC is reflected across the x axis, the new vertices are A'(-3, -2), B'(-1, -7), C'(6, -1)

Answer:

The sale price is $31.2

Step-by-step explanation:

35% off of 48 is 31.2

The values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The given polynomial equation in standard form is,

\(x^2 +10x +16 = 0\)

Now factor the polynomial.

\(x^2 +10x +16 = 0\\(x 2)(x 8) = 0\)

Apply the zero product property and find out the factors as,

\(x +2 = 0, x +8 = 0\)

Solve the resulting equations by equating both the factors one by one to the zero and find the roots.

\(x +2 = 0\\x=-2\\\)

Similarly, for x+8=0,

\(x +8 = 0\\x=-8\)

Thus, the values of x or the roots of the equation are,

\(x = -2, x =-8\)

Hence, the values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

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Answer:

-2 and -8

Step-by-step explanation:

got my answer from the person above.

Answer:

If -2 wrong then I am sorry.

Step-by-step explanation:

Answer:

The Mean is increased by 2.

Step-by-step explanation:

Mark brainliest please good luck with that test ;)

Answer:

thx for the points and happy thanksgiving

Step-by-step explanation:

have a great night/morning

i love food,do u?

Answer: 15

Step-by-step explanation:

slow eater lol.

in one fifth of a minute, they ate 3 pieces. so add the other four fifths, 3 + 3 + 3 + 3 + 3, and youll get 15. easier to just multiply tho, 1/5 is 3, so 5/5 would be 3(5) = 15. hope this helps

Answer:

y = 2x-2

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope and b is the y-intercept

For the second equation, we can see that the y-intercept value is -2

So using the slope 2, we write the complete equation as;

y = 2x - 2

Answer:

it is B, there is one big outlier, it is 21

Step-by-step explanation:

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

Answer:

8 hours

Step-by-step explanation:

70= 7x + 14

70 - 14 = 56

56/7= 8

X = 8

Check

7 x 8 + 14

56 + 14 = 70

Answer:

8 hours.

Step-by-step explanation:

Set the equation:

Dollars per hour x amount of hours + fixed fee = total cost.

Dollars per hour = 7

Fixed fee = 14

Total cost = 70

Total hours = x

Plug in the corresponding numbers and variables to the corresponding terms.

7x + 14 = 70

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 14 from both sides of the equation:

\(7x + 14 = 70\\7x + 14 (-14) = 70 (-14)\\7x = 70 - 14\\7x = 56\)

Next, divide 7 from both sides of the equation:

\(7x = 56\\\frac{7x}{7} = \frac{56}{7}\\ x = \frac{56}{7}\\ x = 8\)

8 hours is your answer.

~

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The 90% confidence interval for the population mean is approximately (2.51, 3.21).

To construct a confidence interval for the population mean at a 10% significance level, we'll use the given information: sample size (n=15), sample mean (x=2.86), and standard deviation (s=0.78). Since the population has a normal distribution, we can apply the t-distribution.

1. Find the degrees of freedom (df): df = n - 1 = 15 - 1 = 14
2. Determine the t-value for a 10% significance level (5% in each tail) and 14 degrees of freedom using a t-table or calculator. The t-value is approximately 1.761.

3. Calculate the margin of error (ME):
ME = t-value × (s / √n) = 1.761 × (0.78 / √15) ≈ 0.35

4. Construct the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower limit = x - ME = 2.86 - 0.35 ≈ 2.51
Upper limit = x + ME = 2.86 + 0.35 ≈ 3.21

So, the 90% confidence interval for the population mean is approximately (2.51, 3.21).

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An equation is a collection of variables and constants with the value of x which will make the equation 7+3(x - 1)=5x+-2(x+1) to be true is 1/2.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

7+3(x - 1)=5x+-2(x+1)

7 + 3x - 3 = 5x + 2x + 2

3x + 4 = 7x + 2

7x + 2 = 3x + 4

7x - 3x = 4 - 2

4x = 2

x = 1/2

Hence "The value of x which will make the equation 7+3(x - 1)=5x+-2(x+1) to be true is 1/2".

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Answer:

18

Step-by-step explanation:

24 - (3 * 2)

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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