PLEASE HURRY
Solve for x -2(x + 4) = 16

Hello !

Answer:

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²

Here, we have a = 4 and c = 6 so :

    b² = 6² - 4²

⇔ b² = 36 - 16

⇔b² = 20

⇔ b = √20  (and not b= -√20 because b ≥ 0)

Answer:

b = \(\sqrt{20}\)

Step-by-step explanation:

Using the Pythagorean Theorem:

6² = 4² + b²

⇒ b² = 6² - 4²

⇒ b = \(\sqrt{6^2 - 4^2}\)

⇒ b = \(\sqrt{36 - 16}\)

⇒ b = \(\sqrt{20}\)

Answer:

F

Step-by-step explanation:

The x and y do not match up

Answer:

It is F.

Step-by-step explanation:

It is F because all the x's are the same as that cannot happen.

Answer:

HOPE IT HELPED U .....

Step-by-step explanation:

a). f(5)= 2x +6

= 2 *5+6

= 10+6

=16

(b). g (9)= -12x+4

= -12*9+4

= -108 +4

=-104

(c). f(5)+f(9)= 16+(-104)

=-88

Answer:

Step-by-step explanation:

f(x)=2x+6

f(5)=2*5+6

f(5)=10+6

f(5)=16

g(x)=-12x+4

g(9)=-12*9+4

g(9)=-108+4

g(9)=-104

Answer:

95 people ate pizza

Step-by-step explanation:

Add the ones highlighted

Answer:

12500

Step-by-step explanation:

we all know this is not high school math -_-

Given that Angelo has x semesters remaining, the algebraic expressions which represent (1) the total amount he will need for tuition, (2) the total amount he will need for the fees, and (3) the total amount of money he will spend for tuition and fees, are 1312x, 85x, and 1397x, respectively.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

If Angelo has to pay $1312 in tuition each semester, and he has x semesters remaining, then the algebraic expression to represent the total amount he will need for tuition can be written as:

"1312x"

where x is the number of semesters remaining

If Angelo has to pay $85 in fees each semester, and he has x semesters remaining, then the algebraic expression to represent the total amount he will need for the fees can be written as:

"85x"

where x is the number of semesters remaining

Combining the two algebraic expression will represent the total amount of money he will spend for tuition and fees and can be written as:

1312x + 85x

(1312 + 85) x

"1397x"

where x is the number of semesters remaining

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Answer:

-1

Step-by-step explanation:

x = the slope. Since it says -x we know that it'd be -1.

The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.

Let's start by rewriting the given limit:

lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)

Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.

Therefore, we can rewrite the above limit as:

lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n

This can be further rearranged as:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶

Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx

To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.

Hence, the given limit can be expressed as the definite integral:

lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

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Answer:

5/8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

............................

Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm

The two consecutive positive multiples of 3 are 18 and 21.

Let's solve the problem step by step.

We are given that two integers are consecutive positive multiples of 3. Let's assume the lesser number is "x," so the greater number would be "x + 3" since they are consecutive multiples of 3.

Now, we are told that three times the greater number is equal to 7/10 of 5 times the lesser number. Mathematically, this can be represented as:

3(x + 3) = (7/10) * 5x

To simplify the equation, we can distribute the 3 on the left side:

3x + 9 = (7/10) * 5x

Next, we can simplify the right side by multiplying 5x by 7/10:

3x + 9 = (7/10) * 5x

3x + 9 = (7/2)x

To isolate the variable, we can multiply both sides of the equation by 2:

2 * (3x + 9) = 2 * (7/2)x

6x + 18 = 7x

Next, we can subtract 6x from both sides to isolate the x term:

6x - 6x + 18 = 7x - 6x

18 = x

Therefore, the lesser number is x = 18. Since the greater number is x + 3, the greater number is 18 + 3 = 21.

Hence, the two consecutive positive multiples of 3 are 18 and 21.

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Build-borrow-or-buy.

The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.

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(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.

the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.

the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.


The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.

the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.

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By organizing countless data points into comprehensible ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual. So Histograms based on data on housing, prices and salaries typically are skewed to the right.

A histogram in statistics is a graphic depiction of the data distribution. The histogram is shown as a collection of rectangles that are next to one another, where each bar represents a different type of data.

A branch of mathematics called statistics is used in many different fields. Frequency is the term for how often numbers appear in statistical data; it can be shown as a table and is known as a frequency distribution.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis.

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The coordinate of the image point A (-1, 4).

In mathematics, a translation is an up, down, left, or right movement of shapes. Because the translated shapes appear to be identically similar in size to the original ones, they are congruent with one another.

The Rule of Translation of points is given by (x, y) → (x ± h, y ± k)

where the horizontal and vertical shiftings are h units and k units, respectively.

Given that

The image point of A after a translation right 4 units and up 4 units is the point B

Let A(x, y) be the point that translated to right 4 units and up 4 units

According to the given formula

(x, y) → (x ± h, y ± k)

Since the point is translated to right and up

=> (x, y) → (x + h, y + k)  

=> (x, y) → (x + 4, y + 4)

From the given data the final point is B(3, 8)

=> (x + 4, y + 4) = (3, 8)  

=> x + 4 = 3  and  y + 4 = 8

=> x + 4 = 3      

=> x = 3 - 4 = -1

=> x = -`1          

=> y + 4 = 8  

=> y = 8 - 4

=> y = 4  

Therefore,

The coordinate of the image point A (-1, 4).

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Answer:

5/3

Step-by-step explanation:

We want to express the percentage as a fraction

We have;

500/3/100 = 500/300 = 5/3

The end behavior of the function f(x) describes the behavior of the function as x approaches the +∞  f(x) approaches to 1/2 and the x approaches the -∞  f(x) approaches to 1/2.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

\(\rm f(x) = \dfrac{4x-7}{8x+8}\)

For the end behavior:

As x → ∞  f(x) → 1/2

And x → -∞ f(x) → 1/2

Thus, the end behavior of the function f(x) describes the behavior of the function as x approaches the +∞  f(x) approaches to 1/2 and the x approaches the -∞  f(x) approaches to 1/2.

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Answer: As x increases to negative infinity, f(x) increases to 0.5; as x increases to infinity, f(x) increases to 0.5.

Proof of validity is shown below.

The empty boxes of the numerators for the given rational expression is to be filled with 4x and 2 respectively.

Rational expression is a division of two polynomials. Which implies that the numerator and denominator of the fraction consists of polynomials.

To solve this, we will first factorise the expression of the denominator as follows;

x² - 9x + 8 = x² - 8x - x + 8

x² - 9x + 8 = x(x - 8) -1(x - 8)

x² - 9x + 8 = (x - 1)(x - 8)

Hence, we can rewrite the rational expression as:

(4x + 2)/[(x - 1)(x - 8)]

we can break the expression further by dividing each term of the numerator with the expression (x - 1)(x - 8) as follows;

(4x + 2)/[(x - 1)(x - 8] = [4x/(x - 1)(x - 8)] + [2/(x - 1)(x - 8)]

Therefore, 4x and 2 will be the appropriate values to be filled in the empty boxes equated to the rational expression.

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Answer:

4x+3=2x+27

4x-2x=27-3

2x=24

x=24/2

x=12

Answer:

51

Step-by-step explanation:

2x+27=4x+3

    -3       -3

__________

2x+24=4x

___________

         2

x+12=2x

-x      -x

___________

12=x

now plug in/check answer

2(12)+27=4(12)+3

24+27=48+3

51=51

true

Answer:

166

Step-by-step explanation:

Answer:

$1.66x100 would be 166 or $166.

Step-by-step explanation:

Since you are multiplying by 100, you could move the decimal point to the right twice which would give you $166, or you could multiply normally.

Answer:

D

Step-by-step explanation:

The line looks dotted (image quality isn't the best) so we can already exclude the inequalities with \(\le\) or \(\ge\). At this point let's check an "easy" point, 0.0.

\((0)>2(0)-6 \rightarrow 0>-6\) Which is indeed true. The correct answer is D

The Perimeter of wall in inches is 4.724412 inches.

We have the Perimeter = 120 m

We know 1 m = 39.3701 inch

Then, the perimeter inches

= 39.3701 x 120

= 472.4412 inches  

and, 1 cm= 0.393701 inch

Then, perimeter

= 12 x 0.393701

= 4.724412 inches

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Solution :

Volume of ball = Volume of outer ball - Volume of inner ball

\(V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3\)

Now, density of iron is, d = 7300 kg/m³.

So, mass of iron ball is :

\(m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m = 2.14 \times 10^{11}\ kg\)

Hence, this is the required solution.

Answer:

Solution given:

x²+25=???

we have

formula

a²+b²=(a+b)²-2ab or (a-b)²+2ab

so

x²+25 =x²+5²=(x+5)²-2x*5=(x+5)²-10x

or

x²+25=x²+5²=(x-5)²+2x*5=(x-5)²+10x

:.

expressions is equal to x² +25 is

(x-5)²+10x

or

(x+5)²-10x

Answer:

At 6% interest rate, amount invested = $7000

At 8% interest rate, amount invested = $21000

Step-by-step explanation:

Let amount invested in one account be x and amount invested in the other be y.

Thus;

x + y = 28000 - - - - (eq1)

Interest rate for them are 6% and 8% annually.

We are told that total interest earned for the year was $2100

Thus;

0.06x + 0.08y = 2100 - - - - (eq 2)

Make x the subject in equation 1.

x = 28000 - y - - - - (eq 3)

Put 28000 - y for x in eq 2

0.06(28000 - y) + 0.08y = 2100

1680 - 0.06y + 0.08y = 2100

0.02y = 2100 - 1680

0.02y = 420

y = 420/0.02

y = 21000

Put 21000 for y in eq 3 to get;

x = 28000 - 21000

x = 7000

Thus amount invested in each account is;

At 6% interest rate, amount invested = $7000

At 8% interest rate, amount invested = $21000

The angle of the given ray is of x = 150º.

The angle of the ray is given by the sum of the angles that compose the ray.

In this problem, the angles are of 65º, 40º and 45º, hence:

x = 65 + 40 + 45 = 150º

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