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The solution to the equation f(x)=g(x) are x=-2 and x=1.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given functions are f(x)=-x+6 and g(x)=-x²-2x+8.

Now, f(x)=g(x)

-x+6=-x²-2x+8

⇒ x²+x-2=0

⇒ x²+2x-x-2=0 (Splitting middle term method)

⇒ x(x+2)-1(x+2)=0

⇒ (x+2)(x-1)=0

⇒ x+2=0 and x-1=0

⇒ x=-2 and x=1

Therefore, the solution for the obtained equation are x=-2 and x=1.

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Answer:

me either

Step-by-step explanation:

Answer: $71.53

Step-by-step explanation:

77.76 = 100%

Answer:

x + x - x = x

explanation:

give us the actual formula lol

The square root of 15 is approximately 4.

To approximate the square root of 15, we can find the perfect squares that are closest to 15. The perfect squares that are closest to 15 are 9 and 16. Since 15 is closer to 16, we can say that the square root of 15 is slightly less than 4.

Another approach could be:

The square root of 15 is approximately 3.87. Rounding to the nearest integer gives us 4. To round a number, we look at the number following the place value we are rounding to. If it is greater than or equal to 5, we round up. If it is less than 5, we round down. In this case, the digit following the ones place is 8, which is greater than 5, so we round up to 4.

The needed 3rd-degree polynomial function with real coefficients matching the specified constraints will be y=-5x³+10x²-45x+90.

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. Polynomials are sums of k-x^n terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial.

Here,

y=-5(x-2)(x-3i)(x+3i)

y=-5(x-2)(x²+9)

y=-5(x³-2x²+9x-18)

y=-5x³+10x²-45x+90

The required 3rd-degree polynomial function with real coefficients satisfying the given conditions will be y=-5x³+10x²-45x+90.

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The value of the x would be 9.

Option (A) is correct.

What is a complementary angle?

A complementary angle is an angle that, when added to another angle, forms a right angle (90 degrees). Complementary angles are pairs of angles that add up to 90 degrees.

Angle JKM and angle MKN are complementary angles

so

   (3x + 2) + (6x + 7) = 90

  9x + 9 = 90

  9(x + 1) = 90

     x + 1 = 10

    x = 9

Hence, the value of the x would be 9.

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After solving the equation the value of the x would be 9. Therefore, the correct option is A.

What is a complementary angle?

A complementary angle is a pair of angles that add up to 90 degrees. Complementary angles can be adjacent angles, or angles that share a common vertex and side, or they can be nonadjacent angles that have no common points or sides. Complementary angles are usually referred to by their sum, such as "90-degree angles" or "angles that add up to 90 degrees." Complementary angles can also be called supplementary angles when they add up to 180 degrees.

Angle JKM and angle MKN are complementary angles

so   (3x + 2) + (6x + 7) = 90

 9x + 9 = 90

 9(x + 1) = 90

    x + 1 = 10

   x = 9

Hence, the value of the x would be 9.

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Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378==13674.

Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.

A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.

since the digits used are 0 to 9.

first letter can't be zero.

and we can't repeat the same digit for same different alphabets.

Using these rules with the condition that food is multiple of 1279.

The answer is : 9738+2558+1378==13674

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Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378 =13674.

What is a cryptarithmetic problem?

Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.

What is reverse cryptarithm?

A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.

since the digits used are 0 to 9.

first letter can't be zero.

and we can't repeat the same digit for same different alphabets.

Using these rules with the condition that food is multiple of 1279.

The answer is : 9738+2558+1378 = 13674

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Answer:

The possible coordinates of point A are (-3, 8) and (-3, -4).

Step-by-step explanation:

We can find the possible coordinates of point A by using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is equal to the square root of (x2-x1)^2 + (y2-y1)^2. We know that the x-coordinate of point A is -3 and the distance between point A and point B is 10 units. We can use this information to solve for the y-coordinate of point A:

Copy code

d = sqrt((x2-x1)^2 + (y2-y1)^2)

d = sqrt((5-(-3))^2 + (2-y1)^2)

d = sqrt(8^2 + (2-y1)^2)

d = sqrt(64 + (2-y1)^2)

d = sqrt(64 + (y1-2)^2)

d = 10

sqrt(64 + (y1-2)^2) = 10

64 + (y1-2)^2 = 100

(y1-2)^2 = 36

y1-2 = +/- 6

y1 = 8 or -4

Therefore, the possible coordinates of point A are (-3, 8) and (-3, -4).

The Co-ordinates of the point C that divides the line in the ratio of 3:4 is (-20/7, -17/7)

What is Section Formula?

The Section formula is used in coordinate geometry to compute the ratio of a line segment split by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle. It is used in physics to determine the centre of mass of systems, equilibrium locations, and so on.

Solution:

A(-8, 1) and B(4, -7)

Ratio is 3:4

Section Formula is (mx2 + nx1/ m + n), (my2 + ny1/ m + n)

m = 3 and n = 4

Co-ordinates of C are (3*4 + 4*(-8)/ 3+4), (3*(-7) + 4*1 / 3+4)

= (12 - 32 / 7), (-21 + 4 / 7)

= (-20/7, -17/7)

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Answer:

D.  b + c = 68

    0.08b + 0.15c = 6.00

Step-by-step explanation:

The total cost is $6.00

The total amount of copies is 68

To find the total cost, we multiply the amount of copies by the individual price. So we get

0.08b + 0.15c = 6.00

We add the amount of copies bought to get a total of 68, so we get this equation:

b + 6 = 68

Hello,

I hope you and your family are doing well!

To solve this problem, we can use the formula:

total cost = set-up fee + (cost per copy * number of copies)

In this case, we know the total cost and the set-up fee, and we want to find the number of copies. We can substitute these values into the formula and solve for the number of copies:

$32.20 = $14.95 + ($0.03/copy * number of copies)

Subtracting the set-up fee from both sides of the equation gives:

$17.25 = $0.03/copy * number of copies

Dividing both sides of the equation by the cost per copy gives:

number of copies = $17.25 / $0.03/copy = 575 copies

So Emilio was charged $32.20 to print 575 copies of the brochures.

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1. f(x) - cubic function -- polynomial , g(x) - linear function

similar

The function f(x) = x³+x²-3x+4 is a polynomial function and g(x) = 2ˣ-4 is an exponential function.

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y-intercept = 4

x - intercepts = -2.68

Function g(x)

Domain: x > 0

Range: -4 < y < ∞

y - intercept = -4

x - intercepts = none

By comparing the key features above, we can conclude that the common features in both functions are their range

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Answer:

-2

Step-by-step explanation:

Given,

g(x) = f(4)

or, 2 - 4x = 3*4 - 2

or, 2 - 4x = 10

or, 2 - 10 = 4x

or, -8 = 4x

or, x = -2

Answer:

  D)  (√13)/2

Step-by-step explanation:

You want to know the cosecant of the angle measured clockwise from the +x axis with point (6, 4) on its terminal side.

The cosecant of the angle is the ratio of the point's distance from the origin to the y-coordinate.

The distance from the origin is found using the Pythagorean theorem:

  d = √(x²+y²) . . . . . . . distance from the origin to (x, y)

  d = √(6² +4²) = √52 = 2√13

Then the desired ratio is ...

  csc(θ) = d/y = (2√13)/4

  csc(θ) = (√13)/2

Answer:1/3

Step-by-step theexplanation:1/3 is the probablility of the marbles

The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

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The number of points that Carlos score based on the information is 19 points.

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

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

In this.case, Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos.

Let Carlos point = x

Fabio point will be = 2x - 7

The equation will be:

2x - 7 = 31

2x = 31 + 7.

2x = 38

Divide

x = 19

Carlos had 19 points

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Answer:

 (a) A  and B are similar but not congruent

Step-by-step explanation:

All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.

Answer:

x ≥ 72/5

8.6 ≤ x -5 4/5= 8.6 ≤ x -29/5

8.6 ≤ x -29/5= x ≥ 72/5

The required solution of the given inequality is given as x > 4, and the answer for the blanks is to Divide both sides by -8 and change the inequality sign.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given inequality,
-8x < 32
Divide both sides by -8
x > 4

The sign of the inequality change because multiplication with the negative value changes the inequality sign and the higher negative value is the least value.

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the area of the generic rectangle will be x²-2x-15.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

Area of rectangle is A = a*b

(x + 3)(x - 5) in a generic rectangle

The product will give the area

x²-2x-15

hence the area of the generic rectangle will be x²-2x-15.

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The point of the compass located in order to make the arcs is points X and Y.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc. A circle contains an arc. For instance, a quarter-circle and a semicircle are both examples of arcs. A minor arc is one that is smaller than half of the circle it is a part of, or less than a semicircle, whereas a major arc is one that is more than half of its circle.

Given

The following figure was drawn using a straightedge and a compass.

The point of the compass located in order to make the arcs:

1. points X and Y

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Answer:

cosβ = -1/2

Step-by-step explanation:

Since cos2β = 3/4 and β is in quadrant III, the value of cosβ must be negative. We can find the exact value of cosβ by using the identity cos2β = 2cos^2β - 1. Substituting 3/4 for cos2β and solving for cosβ, we get:

3/4 = 2cos^2β - 1

cos^2β = 1/4

cosβ = 1/2 or -1/2

Since cosβ is negative in quadrant III, the value of cosβ is -1/2. Thus, the answer is cosβ = -1/2.

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Answer:

management accountant prepared a decision model which solve sell at split off or process

further decision problem. Which function did he provided?

A. Scorekeeping function C) Problem solving function

B. Attention directing function. D) Record keeping function E) None

The sum of the lengths of two sides is equal to the length of the third side is 45°.

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Step-by-step explanation:

please refer to the attached sketch for the answer.

Answer:

see below.

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]8^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]

64 + 225 = [tex]c^{2}[/tex]

289 = [tex]c^{2}[/tex]

[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]

17 = c