Can someone please professionally explain the math question shown on the image. (Not just answer the question) Step by step.

I will mark as brainliest!

Everything has been explained in there

Answer: The diagram is shown below

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Explanation:

If you graphed y = (x-5)(x+5) on the xy grid, then you'd see a parabola forming. This parabola has x intercepts at -5 and 5. The parabola opens upward.

If x < -5, then (x-5)(x+5) is positive. Let's say x = -6

(x-5)(x+5)

(-6-5)(-6+5)

(-11)(-1)

11

So if x = -6, then y = (x-5)(x+5) becomes 11 which is positive. If you picked any other value less than -5, then (x-5)(x+5) is positive.

Similarly, if x > 5, then (x-5)(x+5) is also positive for similar reasoning. Try x = 6 to see what happens. The actual value itself doesn't matter. All we care about is if the result is positive or negative.

It's only when -5 < x < 5 that (x-5)(x+5) is negative. Consider x = 0 which is between -5 and 5

Plugging x = 0 leads us to

(x-5)(x+5)

(0-5)(0+5)

(-5)(5)

-25

Showing that (x-5)(x+5) is negative on the interval -5 < x < 5

---------------------------------------------

Going back to the original inequality, we want to know when (x-5)(x+5) is positive or 0

We found that (x-5)(x+5) is positive when x < -5 or when x > 5

(x-5)(x+5) is equal to zero when x = -5 or x = 5

So overall, the solution we want is [tex]x \le -5 \ \text{ or } \ x \ge 5[/tex]

To graph this on a number line, we plot closed filled in circles at -5 and 5. Then we shade everything that is not between these two circles (so we shade everything except the interval -5 < x < 5).

The graph is below.

Answer:

The coefficient of d that will make equation equal is -0.9

Step-by-step explanation:

Given

Left hand side equation = {–1/3}(2.7d + 1.8)

Simplifying LHS we get -

-0.9 d -0.6

Hence, the coefficient of d that will make equation equal is -0.9

Answer:

x = ±6

Step-by-step explanation:

5x^2 = 180

Divide each side by 5

5x^2/ 5 = 180/5

x^2 = 36

Take the square root of each side

sqrt(x^2) = ± sqrt(36)

x = ±6

Answer: x = 6 or x = -6

Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.

When we take the square root of both sides of an equation,

we must always make sure to use plus or minus!

So x = ±5 and you can write your answer as the solution set {6, -6}.

Given:

The table of values.

To find:

The function for the given table.

Solution:

From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.

Mathematically, it can be defined as:

[tex]y=1\times x[/tex]

[tex]y=x[/tex]

Substitute [tex]y=f(x)[/tex] in the above equation to find the required function.

[tex]f(x)=x[/tex]

Therefore, the correct option is A.

Answer:  C) Trapezoid

Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.

The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the coordinates of the figure be represented as ABCD

Now , the vertices of the figure is

A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )

On plotting the coordinates in the graph , we get a trapezoid with

The longer base = BC

The shorter base = AD

So , the figure is a trapezoid

Hence , the vertices represents a trapezoid

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Answer:

3

Step-by-step explanation:

let the no of people who share the meal be x

each member paid $17

total cost of meal=$51

so ur equation is

$17x=$51

x=$51/$17(here $ and $ also gets cancel)

x=3

therefore three menber shared the meal.

Note:when  in multiplication when u transfers the number to other side it changes into mltiplication.For example

$17=$51

here $17 is multiplied with x and when we bring $17 to right hand side it divides $51.

Answer:

[tex]17x = 51 \\ \frac{17x}{17} = \frac{51}{17} \\ x = 3[/tex]

Step-by-step explanation:

The error was that the learner subtracted both sides instead of dividing both sides. The student was supposed to divide both sides by 17 to get the answer.

Answer:

the difference in the coordinate points is (7, 5)

Step-by-step explanation:

Given;

first coordinate point, (x₁, y₁) = (-2, 3)

second coordinate point, (x₂, y₂) = (5, 8)

The difference in the coordinate points is calculated as follows;

Δ(x, y) = (x₂ - x₁,  y₂ - y₁)

          = (5 - -2,  8 - 3)

         = (7, 5)

Therefore, the difference in the coordinate points is (7, 5)

Answer:

B

Step-by-step explanation:

√256=16

√289=17

Answer:

b.√256 and √289 . play basketball

Answer:

24 hours

Step-by-step explanation:

160 x 18 = 2880

2880/120 = 24

Answer:

hope it is helpful to you

this is another answer

sorry for bad handwriting

actually its my sista handwriting

Answer:

C. 1 centimeter = 30 meters

[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]

Answer:

x = 10

Step-by-step explanation:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

4*x = 5*8

4x = 40

Divide by 4

4x/4 = 40/4

x = 10

Answer:

option A

Step-by-step explanation:

Distance from earth to moon = 2.4 × 10⁵ miles

Distance from earth to sun = 9.3 × 10⁷

x × 2.4 × 10⁵ = 9.3 × 10⁷

[tex]x = \frac{9.3 \times 10^7}{2.4 \times 10^5}[/tex]

  [tex]=\frac{9.3}{2.4} \times 10^2\\\\=3.875 \times 10^2\\\\=3.9 \times 10^2[/tex]

The distance from the earth to the sun is 3.9 × 10² times distance from the earth  the moon

Step-by-step explanation:

Measure angle <1=<4 letter f

Then 3x-160=x+20

2x=180

Then x=90

Answer:

4

Step-by-step explanation:

just 4 -_-

4x^2-20x

=4(x^2-5x)

so the value is 4

By solving the quadratic equation, the value of A is 4

Option (3) is correct.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

Given quadratic equation

[tex]4x^{2} -20x+3=0[/tex]

⇒ [tex]4x^{2} -20x=-3[/tex]

By taking 4 as common in [tex]4 x^{2}[/tex] and 20x

⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)

According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)

By comparing equation 1 and 2 we can clearly see that A = 4

Hence, by solving the quadratic equation, the value of A is 4

Option (3) is correct.

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Answer:

10 :)

Step-by-step explanation:

I hope this helped :)

Answer:

10

Step-by-step explanation:

medium is the number in the middle when all numbers are arranged in ascending order.

Answer:

10

Step-by-step explanation:

first arrange the data from ascending to descending order.

data = 6,8,10,12,14

median = N +1/2  (N means no of data)

=5 + 1/2

=6/2

=3 th term

=10

therefore median is 10

point to remember : if u are are to find the first quartile , median , or third quartile then u should arrange the data from ascending to descending order .

Answer:

x=3800, y=4400

Step-by-step explanation:

X+y=8200 equation 1

15x+25y=167000 equation 2

x=8200-y isolate x in equation 1

15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2

123000-15y+25y=167000

10y=44000

y=4400

solve for x by inserting y value into either equation.

x+y=8200

x+4400=8200

x=3800

Check answer:

15x+25y=167000

15(3800)+25(4400)=167000

57000+110000

167000=167000

Answer:

40.6944 is your answer

Step-by-step explanation:

3.6×3.14=11: 3.6×3.6=40.6944 /41

Given:

The expression is:

[tex]789\times 175-75\times 789[/tex]

To find:

The value of the given expression by using the suitable properties of whole numbers.

Solution:

We have,

[tex]789\times 175-75\times 789[/tex]

Using the commutative property of multiplication, we get

[tex]789\times 175-75\times 789=789\times 175-789\times 75[/tex]

Using the distributive property of addition over multiplication, we get

[tex]789\times 175-75\times 789=789\times (175-75)[/tex]

[tex]789\times 175-75\times 789=789\times 100[/tex]

[tex]789\times 175-75\times 789=78900[/tex]

Therefore, the value of the given expression is 78900.

C. Square, a rhombus is the right answer.

A rhombus is a parallelogram in which all four sides are congruent. Shaped like a diamond. A square is a parallelogram with four congruent sides and four right angles. In other words, squares are rectangles and diamonds.

Exactly all the shapes on the four sides are called squares. Each type of figure here is a square type. The lengths of the congruent sides are the same. If parallel sides are drawn as lines, they never intersect.

Two triangles are congruent If the corresponding sides have the same length and the corresponding angles are the same, then the two triangles are congruent.

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Answer:

0.71 is the unit price

Step-by-step explanation:

all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))

hope this helps!!!!

please mark brainiest<3

Answer:

The ordered pair that best describes the location of G' is (-6,2).

Step-by-step explanation:

Reflecting a point over the y-axis:

When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:

(x,y) -> (-x,y).

Point G is located at (6, 2)

When reflected over the y-axis:

G'(-6,2).

The ordered pair that best describes the location of G' is (-6,2).