MATHEMATICS HIGH SCHOOL

Solve the linear equation for x

-4.8(6.3x-4.18) =-58.56

X=

Answers

Answer 1

Answer:

Answer:

x=2.6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Reflectional symmetry is the qualitya design has if it maintains all characteristics when it is rotated about:

A. an edge lying in its plane.
B. an axis lying in its plane.
C. a point lying in its plane.
D. an axis lying in its opposite plane.

Answers

The right answer for the question that is being asked and shown above is that: "D. an axis lying in its opposite plane." Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about D. an axis lying in its opposite plane.

Answer: c - a point lying on its plane

Step-by-step explanation:

i don’t know why i just know it’s right unless it’s not

the following table shows the revenue for a company generates based on the increases in the price of the product. What is the y-value of the Vertex of the parabola that models the date?

Answers

Answer:

The y-value of the Vertex of the parabola that models the data is 1125.

Step-by-step explanation:

Let the function of parabola is

$f(x)=ax^2+bx+c$

From the given that it is noticed that the parabolic function passing through the points (1,1045), (3,1105) and (5,1125). It means the function must be satisfied by these points.

$1045=a(1)^2+b(1)+c$

$1045=a+b+c$ ....(1)

$1105=a(3)^2+b(3)+c$

$1105=9a+3b+c$ ....(2)

$1125=a(5)^2+b(5)+c$

$1125=25a+5b+c$ ....(3)

On solving (1), (2) and (3) we get,

$a=-5$

$b=50$

$c=1000$

Therefore the equation of parabola is

$f(x)=-5x^2+50x+1000$

The vertex of the parabola is

$((-b)/(2a),f((-b)/(2a)))$

$(-b)/(2a)=-(50)/(2(-5))=5$

$f(5)=1125$

Therefore the vertex is (5,1125) and y-value of the Vertex of the parabola that models the data is 1125.

The vertexes of the parabola are, (5, 1125).

Explanation

The table given to us in the problem are the data points that will lie on the parabola, therefore,

Point 1 = (1, 1045)

Point 2 = (3, 1105)

Point 3 = (5, 1125)

Point 4 = (3, 1105)

Point 5 = (1, 1045)

Equation of a Parabola,

We know that the equation of a parabola is given as,

$y = ax^2 +bx+c$

For point 1,

Point 1 = (1, 1045)

Substituting the value in the equation of a parabola,

$1045 = a(1)^2 +(1)b+c\n\n1045 = a+b+c$ ..... equation 1,

For point 2,

Point 2 = (3, 1105)

Substituting the value in the equation of a parabola,

$1105 = a(3)^2 +(3)b+c\n\n1105= 9a+3b+c$ ..... equation 2,

For point 3,

Point 3 = (5, 1125)

Substituting the value in the equation of a parabola,

$1125= a(5)^2 +(5)b+c\n\n1125= 25a+5b+c$ ..... equation 3,

Solving the three equations we get,

a = -5,

b = 50,

c = 1000

Substitute the values in the equation of a parabola,

$y=f(x) = -5x^2 +50x +1000$

How to find Vertexes of a parabola?

To find the vertex of a parabolic equation we bring the equation into the form,

$y = a(x-h)+k\n$ , where h and k are the vertexes of the parabola.

Vertexes of the parabola

Vertex of the Parabola,

$y=f(x) = -5x^2 +50x +1000\n\ny = -5x^2 +50x +1000\n\ny =-5(x^2 -10x)+1000\n\ny =-5(x^2 -10x+25-25)+1000\n\ny =-5(x^2 -10x+25)+ (-5* -25)+1000\n\ny =-5(x^2 -10x +25)+125+1000\n\ny =-5(x^2 -5)^2+1125$

Comparing it to the equation, $y = a(x-h)+k\n$ ,

the vertexes of the parabola are,

(5, 1125)

Learn more about the Equation of a Parabola:

brainly.com/question/4443998

What is the value of x in the equation 3x – 1/9 = 18, when y = 27?

Answers

Answer:

x = 7

Step-by-step explanation:

3x - 1/9y = 18

Put y as 27 and evaluate.

3x - 27/9 = 18

3x - 3 = 18

Add 3 on both sides.

3x = 21

Divide 3 on both sides.

x = 7

Answer:

Here you go mate!

Step-by-step explanation:

5.2x - 1.7x = 7

what is the value of x?

Answers

5.2x - 1.7x = 73.5x = 7
x = 2

The answer is: x = 2.

12 less than 1 eleventh of some number w

Answers

This is the equation:
$1/11 - 12 = w$

This is the answer:
$-11(10/11)$

Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The length of the plank is 41 ft. Find each of the following values, and show all your work. (a) Find the value of x. Round to the nearest tenth of a degree. (b) Find the height above the ground where the plank touches the wall. Round to the nearest foot. sorry the link for the triangle isn't working

Answers

Given:
bottom of the plank or ground is 9 feet from the wall
length of the plant is 41 ft
height of the wall is unknown.

Let us use the Pythagorean theorem.

a² + b² = c²
a² + (9ft)² = (41ft)²
a² + 81 ft² = 1,681 ft²
a² = 1,681 ft² - 81 ft²
a² = 1,600 ft²
√a² = √1,600 ft²
a = 40 ft

The height of the wall is 40 ft.

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