. Resolver la siguiente inecuación, utilizar la notación de intervalos y representar el conjunto
solución en la recta real:

3x-1 + x+7 < 2x+5 + 7
5 2 3 ​

Answers

Answer 1

Answer:

bat di mo masagotan bobo kaba ikaw somagot nyan kasi dapat nagaaral kanangmabuti hayop ka wag kang mag patolong


Related Questions

will give brainliest!!

Answers

Answer:

[tex]\huge\boxed{\sf n = 49}[/tex]

Step-by-step explanation:

Given expression:

[tex]x^2-14x+n[/tex] ---------------(1)

We need to solve it using the following formula:

[tex]a^2-2ab+b^2=(a-b)^2[/tex]

Writing the middle term in the expression as 2ab

[tex](x)^2-2(x)(7)+n[/tex]

Form the expression, we come to now that

b = 7

So, the we can write the expression as:

[tex](x)^2-2(x)(7)+(7)^2\\\\x^2-14n+49[/tex]

Comparing expression (1) with the above expression, we get:

n = 49

[tex]\rule[225]{225}{2}[/tex]

60 POINTS IF CORRECT AND BRAINLIEST ANSWER FOR COMPLETE ANSWER

Answers

1. The solution to the first percent puzzle is as follows:

                              75%         66²/₃         11¹/₉

          33¹/₃%        25%          22¹/₅%      3⁷/₁₀%

         50%         37¹/₂%          33¹/₃%      5¹/₂%

        50%          37¹/₂%          33¹/₃%      5¹/₂%

2. The solution to the second percent puzzle is as follows:

                           10%             90%

         50%           5%              45%

         50%           5%              45%

What is a percent puzzle?

A percent puzzle is a puzzle that engages students to practice working with percentages.

The percent puzzle involves a matrix format, in which students multiply the column percent by the row percent to find the percent they must put in the missing boxes to complete the puzzle.

The multiplication results for the missing boxes can be either stated in decimals, fractions, or a combination.

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A ______ function is a specific type of function that represents the relationship between two variables, usually x and y. The graph of this function is a line.
the answer choices are
dependent
independent
parallel
slope
perpendicular
rate
scale
y
change
linear

Answers

A linear function is a specific type of function that represents the relationship between two variables, usually x and y. The graph of this function is a line. How do I know this? Well, see below for an explanation!

Whenever I learned about functions, the first thing I was told was that x cannot repeat. If x repeats, your result is not a function. For a number or ordered pair to be a function, the points should be able to pass the vertical line test. The vertical line test is an observation to see if two points are on the same vertical line. If they are, then your pair isn’t a function. If none of the pairs are on the same vertical line, you have a function. I also learned that when talking about linear functions, a shortcut to use is that linear has the word “line” in it. This means that a straight line needs to be made for a valid relationship to be present between two variables. The line cannot curve, it cannot touch any of the points it has (for example, a circle), and it must be straight all the way through. If you need any extra help to understand this, let me know and I will gladly assist you.

The difference of four times a number and seven is 21

Answers

Answer: 4n - 7 = 21, n = 7

Step-by-step explanation:

A difference indicates subtraction of two terms. Four times a number indicates that a number of any value has to be multiplied by 4.

Hence, the equation that is represented by the question is

[tex]4x - 7 = 21[/tex]

We can also solve this equation (i.e., find the value of x that makes this equation true).

Adding 7 to both sides, we get

[tex]4x - 7 + 7 = 21 + 7[/tex]

Since the -7 and 7 add to 0, the equation becomes

[tex]4x = 28[/tex]

To get x by itself, we can divide both sides by 4, making the equation

[tex]x=7[/tex]

Hence, x must be 7 to make the equation true, or 7 is a solution to the equation.

Which of the following rational functions is graphed below?

Answers

Answer:

D

Step-by-step explanation:

As the function approaches a certain x-value, it makes a very sharp turn and doesn't touch the axis as you can see in the graph. It does that because if the x-value is applied to the function, it would make it undefined. In this case, the graph is approaching x = -3 and x = +7 since at those points, the lines for the graph change suddenly. You would look for a function that if x is -3 or 7, it makes the y-value undefined.

Another way to easily do this would be to substitute values that are in front of the value that the graph is avoiding like 6 or 8 for 7 and -2 and -4 for -3. You can see if the y-values that would output from substituting those numbers are correct.

What is the classification of each system?

Answers

Answer:

inconsistentconsistent independentconsistent dependent

Step-by-step explanation:

Consistent Independent = exactly ONE solution

Consistent Dependent = INFINITELY many solutions

Inconsistent = NO solution

mangleR = 120° and mangleS = 100°. Find mangleT. The diagram is not drawn to scale.

Answers

The answer of this equation is 110 degrees- 100 degrees

A rental car company charges $20 per day to rent a car and $0.10 for every mile driven. Addison wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $80 to spend.

Answers

Considering the definition of an inequality, the inequality that can be used to determine x is 20x + 10≤ 80

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

This case

A rental car company charges $20 per day to rent a car and $0.10 for every mile driven.

Addison wants to rent a car, knowing that:

She plans to drive 100 miles.She has at most $80 to spend.

On the other hand, x represents the maximum number of days Alyssa can afford to rent for while staying within her budget.

Then, the inequality that can be used to determine x is:

20x + 0.1×100≤ 80

So:

20x + 10≤ 80

In summary, the inequality that can be used to determine x is 20x + 10≤ 80

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how do you find the area and perimeter

Answers

area is multiplication

perimiter is adding the numbers on each side, for example, if the right side is 7, the left side will be 7. Add them and it will givey ou 14

8 cm
Find h.
9 cm
h = √[?] cn

Answers

Answer:

[tex]\sqrt{65}[/tex], so [?] = [65]

Step-by-step explanation:

This is a classic Pythagorean Theorem problem :)

We are given a right triangle with 2 sides, so all we have to do is plug it into the formula a² + b² = c², or in simple terms: the square of one side plus the square of the other equals the square of the hypotenuse.

line h is going to bisect the diameter of the circle (8) so one side will be 4. We're given 9 as our hypotenuse, so:

(4)² + (h)² = (9)².

16 + h² = 81

h² = 81 - 16, h² = 65, h = [tex]\sqrt{65}[/tex].

The equation of line / is y=3x/a +5, where a is a positive constant. If the value of a in this equation is doubled, then the resulting equation will represent a line whose slope is how many times the slope of line / ?

Answers

The resulting equation will represent a line whose slope is 1/2 times the slope of the line

How to determine the slope of the new line?

The equation of the line is given as:

y = 3x/a + 5

The constant a is a positive constant.

So, when the value of a in the equation is doubled, we have:

y = 3x/2a + 5

A linear equation is represented as

y = mx + b

Where m represents the slope.

So, we have:

m1 = 3/a

m2 = 3/2a

Substitute m1 = 3/a in m2 = 3/2a

m2 = 1/2 * m1

Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line

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What is lcm of 3,6,9

Answers

Answer:

lcm of 3,6,9 is 18

The graph of f(x) = x3 + x2 – 9x – 9 is shown.


Based on the graph, what are the solutions of x3 + x2 – 9x – 9 = 0?

x = –1, 3
x = –3, –1
x = –3, –1, 3
x = –9, –3, –1, 3

Answers

Answer:

the third option, x = –3, –1, 3

Step-by-step explanation:

Determine whether AB and CD are parallel, perpendicular, or neither. A(-3, 2), B(5, 1), C(2, 7), D(1, -1)

Answers

Answer:

perpendicular

Step-by-step explanation:

We'll find the slope of both lines and see what it tells us.

If the slopes are the same, the lines are parallel. If the slopes are opposite sign and flipped (negative reciprocals) then they are perpendicular.

The slope is y-Y on top of a fraction and x-X on the bottom.

Slope of AB:

m = 2-1 / -3 -5

= 1/-8 = -1/8

Slope of CD:

m = 7- -1 / 2-1

= 8/1 = 8

Since the slopes are -1/8 and 8, the lines are perpendicular, because they are opposite sign and flipped (negative reciprocals)

The roots of the quadratic function describing the relationship between number of products produced and
overall profit margin are x = 0 and 26. The vertex is (13, -50).
The vertex is a minimum at (13, -50). The company actually loses money on their first few products as it
costs them more to make them, but once they hit 26 items they break even again.
The worst case scenario is that they produce
first root tells us that the profit will be 0 when
Check
items, as they will have a profit of
products are sold.
dollars.

Answers

Once they hit 26 items they break even again. The worst case scenario is that they produce 13 items, as they will have a profit of -50 dollars because the minimum point is at (18, -35). Also, the first root tells us that the profit will be 0 when 0 products are sold.

What is profit?

In Economics, profit can be defined as a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

This ultimately implies that, all producers of any product generally work to maximize their profits and make them as large as possible, in order to enable them break even and successful.

Based on the information provided, we can logically deduce that this function has its roots at x = 0 and x = 26 and its vertex is a minimum. Thus, this quadratic function which describes the relationship between the number of products produced and the overall profit margin is an increasing function:

0 < x < 26, f(x) < 0, which implies a negative profit is generated when between 0 and 26 items are produced.x > 26, f(x) > 0, which implies a positive profit is generated when more than 26 items are produced.x is equal to 26 is the break even point.

Therefore, once they hit 26 items they break even again. The worst case scenario is that they produce 13 items, as they will have a profit of -50 dollars because the minimum point is at (18, -35). Also, the first root tells us that the profit will be 0 when 0 products are sold.

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25 POINTS, QUICKLY PLEASE!

1. Which system is represented in the graph?

A. y > x2 + 4x – 5, y > x + 5
B. y < x2 + 4x – 5, y < x + 5
C. y ≥ x2 + 4x – 5, y ≤ x + 5
D. y > x2 + 4x – 5, y < x + 5

2. Which type of function describes f(x)?

A. Exponential
B. Logarithmic
C. Rational
D. Polynomial

Answers

Answer:

1) y > x² + 4x - 5, y > x + 5

2) Rational

Step-by-step explanation:

For a parabola, if the shade is inside the curve then the value of y will be greater or equal to:

For a line, if the shade is above it then the value of y will be greater or equal to:

Therefore, since parabola doesn't have solid curve (--- graph) then the inequality is ">"

Therefore, the inequality for parabola is y > x² + 4x - 5

For a line, it does not have solid graph so the inequality is ">"

Therefore, the inequality for line is y > x + 5

-----------

The graph of function describes the shape of rational function. It cannot be exponential as exponential only has one curve. It cannot be logarithm  for same reason as exponential. It cannot be polynomial as polynomial is continuous function but the graph is discontinuous at specific point x = 0.

That being said, all choices except rational are all continuous function by default but rational function isn't and since the graph is discontinuous then we can say that it's rational function.

Find the value of t; log3y=2 and log3ty=6​

Answers

Answer: [tex]10^4[/tex]

Step-by-step explanation:

Assuming we are using the common log (base 10),

[tex]\log 3ty=6\\\\\log 3y +\log t=6\\\\2+\log t =6\\\\\log t=4\\\\t=10^4[/tex]

For what values of x is the expression below defined?
√x+3 ➗√1-x
A. 3≤x≤1
B. 3>x>1
C. -3 D. 3> x≤-1

Answers

Answer: [tex]-3 \leq x < 1[/tex]

Step-by-step explanation:

[tex]\sqrt{x+3} \geq 0 \longrightarrow x \geq -3\\\\\sqrt{1-x} > 0 \longrightarrow 1-x > 0 \longrightarrow x < 1\\\\\therefore -3 \leq x < 1[/tex]

Multiply.
x²+3x+2
x 2x²+3x-1
OA. 2x¹ +9x² + 12x² + 3x-2
OB. 2x¹ +9x2 - 2
OC. 3x2 + 6x +1
OD. 2x¹ +21x² + 3x-2

Answers

The multiplication of the expression (x² + 3x + 2) (2x² + 3x + 1) is 2x⁴ + 9x³ + 14x² + 9x + 2

Multiplication

(x² + 3x + 2) (2x² + 3x + 1)

= 2x⁴ + 3x³ + x² + 6x³ + 9x² + 3x + 4x² + 6x + 2

collect like terms

= 2x⁴ + 3x³ + 6x³ + x² + 9x² + 4x² + 3x + 6x + 2

= 2x⁴ + 9x³ + 14x² + 9x + 2

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Find the measure of MON

Answers

Answer: 77 degrees

mLON is the total angle. mLOM is part of the angle, and is 55 degrees. To find the missing degree, subtract the part we know from the part the whole. In this case, subtract 55 from 132. mMON is 77 degrees.

Please help ASAP!
What is the measure of arcXY shown in the diagram below?

Answers

Applying the angles of intersecting secants theorem, the measure of arc XY is: 32°.

How to Apply the Angles of Intersecting Secants Theorem?

According to the angles of intersecting secants theorem, m∠XZY = 1/2(arc VW - arc XY).

Plug in the values:

39 = 1/2(110 - arc XY)

2(39) = 110 - arc XY

78 = 110 - arc XY

78 - 110 = - arc XY

-32 = - arc XY

Arc XY = 32°

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A cash deposit box has five-dollar and ten-dollar bills in it totaling $450. There are eight times as many five-dollar bills as ten-dollar bills. How many bills are in the box?

Answers

Answer:

81

Step-by-step explanation:

what is the inverse of the function f(x)=x/5-2

Answers

Answer:

[tex]\huge\boxed{\sf f^{-1}(x)=5x+10}[/tex]

Step-by-step explanation:

Given function:

[tex]\displaystyle f(x)=\frac{x}{5} -2[/tex]

Put f(x) = y

[tex]\displaystyle y=\frac{x}{5} -2[/tex]

Swap x and y

[tex]\displaystyle x = \frac{y}{5} -2[/tex]

Now, solve for y

[tex]\displaystyle x = \frac{y}{5} -2[/tex]

Add 2 to both sides

[tex]\displaystyle x + 2 =\frac{y}{5}[/tex]

Multiply 5 to both sides

[tex]5(x+2)=y[/tex]

Distribute

[tex]5x + 10 =y[/tex]

Put y = f⁻¹(x)

[tex]\boxed{f^{-1}(x)=5x+10}[/tex]

[tex]\rule[225]{225}{2}[/tex]

What is the completely factored form of f(x) = x3 – 2x2 – 5x + 6?
f(x) = (x + 2)(x – 3)(x + 6)
f(x) = (x + 2)(x – 3)(x – 6)
f(x) = (x – 2)(x + 3)(x – 1)
f(x) = (x + 2)(x – 3)(x – 1)

Answers

Answer:

The last option, (x+2)(x-3)(x-1)

Step-by-step explanation:

The completely factored form of f (x) = x³ - 2x² - 5x + 6 is,

⇒ f (x) = (x - 1) (x - 2) (x - 3)

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

Function is,

⇒ f (x) = x³ - 2x² - 5x + 6

Now, We can factor the function as;

Since, 1 is a root of function as it satisfy the function.

So, One factor is,

⇒ (x - 1)

Find another roots as;

(x - 1) ) x³ - 2x² - 5x + 6 ( x² - x - 6

         x³ - x²

        ----------

             - x² - 5x

            - x² + x

            -------------

                    - 6x + 6

                    - 6x + 6

                    ------------

                           0

Hence,

⇒ f (x) = x³ - 2x² - 5x + 6

⇒ f (x) = (x - 1) ( x² - x - 6 )

⇒ f (x) = (x - 1) ( x² - 3x - 2x - 6)

⇒ f (x) = (x - 1) ( x (x - 3) - 2 (x - 3))

⇒ f (x) = (x - 1) (x - 2) (x - 3)

Hence, The completely factored form of f (x) = x³ - 2x² - 5x + 6 is,

⇒ f (x) = (x - 1) (x - 2) (x - 3)

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9
What is the price of a two year bond with a 9% annual coupon and a yield to maturity of 8%?
97.51
102.53
101.78
105.25

Answers

The price of a two-year bond is 101.78 and the correct option is C.

Given that a 9% annual coupon and a yield to maturity of 8%.

Simple yield is the amount of interest received by a bond issuer divided by the current market price of the associated bond.

Implicit Face value, FV=$100

Time, N=2 years

Coupon, C=(9/100)×$100=9

The yield of maturity, r=8%=0.08

Now, we will find the bond price using the formula

Price of bond = C× [1-{1/ (1+r)ⁿ}/r] +M/ (1+r)ⁿ

Substitute the values in this formula, we get

Price of bond=9×[1-{1/(1+0.08)²}/0.08]+100/(1+0.08)²

Price of bond=9×[1-{1/(1.08)²}/0.08]+100/(1.08)²

Price of bond=9×[1-{1/1.1664}/0.08]+100/1.1664

Price of bond=9×[(1-0.857)/0.08]+85.73

Price of bond=9×[0.143/0.08]+85.73

Price of bond=9×1.7875+85.73

Price of bond=16.0875+85.73

Price of bond=101.78

Hence, the price of a two-year bond with a 9% annual coupon and a yield to maturity of 8% is 101.78.

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please help im failing what is the answer

Answers

The general-form equation of the circle is:

A. [tex]x^2 + y^2 - 8x - 8y + 23 = 0[/tex]

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

This circle has center at (4,4), hence:

[tex]x_0 = 4, y_0 = 4[/tex]

The radius is of 3 units(distance of A and B from the center), hence the equation is:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - 4)^2 + (y - 4)^2 = 3^2[/tex]

We expand the equation to find the general form, hence:

[tex]x^2 - 8x + 16 + y^2 - 8y + 16 = 9[/tex]

[tex]x^2 + y^2 - 8x - 8y + 23 = 0[/tex]

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) Explain why the expression x2 + (p + q )x + pq leads to the need to determine integers that add to b and have a product c when factoring a trinomial of the form x2 + bx + c.

Answers

The reason why the expression x² + (p + q)x + pq leads to the need to determine integers that add to b and have a product c is because they follow the FOIL Technique

How to factorize Quadratic Equations?

We want to explain why x² + (p + q)x + pq leads to the need to determine integers that add to b and have a product c.

Now, using the FOIL Technique we can say that the factors are;

(x + p)(x + q)

Expanding this gives;

x² + px + qx + pq

⇒ x² + (p + q)x + pq

Now, applying that to the trinomial; x² + 6x + 8, we can say that;    

p + q = 6, and pq = 8

Thus, solving simultaneously gives;

p = 2 and q = 6.

Thus;

x² + 6x + 8 = (x + 2)(x + 6)

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One month Kevin rented 2 movies and 5 video games for a total of $30. The next month he rented 8 movies and 3 video games for a total of $35. Find the rental cost for each movie and each video game. Rental cost for each movie: s Rental cost for each video game

Answers

Answer:

M = $2.5; V = $5

Step-by-step explanation:

We need to set up a system of equations to find the price for both movies (M) and video games (V).

We can use 2M + 5V = 30 and 8M + 3V = 35

We can use elimination:

[tex]-4(2m+5v=30)\\8m+3v=35\\\\-8m - 20v = -120\\8m+3v=35\\-17v=-85\\v=5\\\\2m+5(5)=30\\2m+25=30\\2m=5\\m=5/2 ;m=2.5[/tex]

A design consists of the capital letter E. What kind of symmetry would be shown in the design? Explain.

Answers

The kind of symmetry that would be shown in the design is an axial symmetry.

What is an axial symmetry?

It should be noted that an axial symmetry simply means a symmetry around an axis.

In this case, the capital letter E has an acid of symmetry. Therefore, an axial symmetry is appropriate.

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the sum of a number increased by three and the number decreased by seven

Answers

Answer is (n + 3) + (n - 7)

Simplified to 2n - 4

Using “n” for number

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