What is the equation of the following graph

Answer:

Domain:

{−4,1,6,7}

Range:

{5,3,8,−4}

Step-by-step explanation:

Recall that:

Therefore:

Simplifying the above result, we get:

A graph of a proportional relationship can be used to find any ratio in the proportional relationship when the graph passes through the origin.

A connection is proportional if its graph is a line that goes through the origin. The ratio is not proportionate if it is not a line or ray that doesn't accomplish this. K = y/x is the equation for the proportionality constant. The equation for the slope of a straight line with respect to the origin is the same as this.

A relationship is proportionate if its graph is a line or ray that passes through the origin. It is not proportionate if the line or ray does not go through the origin. Additionally, something is not proportionate if it is not linear.

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When he spends $52 in total, the number of bottles of water and protein bars that he buys will be 40 and 20 respectively.

It should be noted that an equation is used to show the relationship between the variables.

In this case, Kawan buys some protein bars at $0.80 each and bottled water at $0.90 each for a group hike and he buys twice as many bottles of water as protein bars.

Let x = the number of protein bars

Table waters = 2x

Therefore, the equation will be:

0.8x + 0.9(2x) = 52

0.8x + 1.8x = 52

2.6x = 52

Divide

x = 52/2.6

x = 20

The number of proteins bars is 20.

The number of water will be:

= 2x.

= 2 × 20 = 40

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The solution of the given inequality for the value of x, x ≥ 1/2.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. Both mathematical phrases, equations, and inequalities are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,<,≥,≤,≠ or indicate that the two expressions in inequality are not always equal.

Given Data

Equation

[tex]\frac{4x -7}{2}[/tex] ≥ 4.5

4x - 7 ≥ 9

4x≥2

x ≥ [tex]\frac{1}{2}[/tex]

For the value of x, x ≥ [tex]\frac{1}{2}[/tex]

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Step-by-step explanation:

red feeder is smarter

ANSWER:

8 square meters

STEP-BY-STEP EXPLANATION:

To calculate the area of the sector, we must first calculate the area of the entire circle and then by means of a proportion, knowing that the entire area is 360° and the sector is 45°, we could determine the area we need.

Just like this:

The area of the sector is 8 square meters

Answer:

C

Step-by-step explanation:

Beacuse part to whole means describing a specific part of a group to the whole group, in our case students wearing green : students

Answer:

It would be A because they ordered 81 cans and in each can there 18 ounces so if you multiply it you can get the Total amount.

The correct statement for the rational number is the opposite of the opposite of -12 is -12.

What is rational number?

Rational numbers are those numbers which include natural numbers, whole numbers as well as integers. And it is written in the form of a/b where a and b are integers. Sometimes, the values of the denominator is one then the given number is not fraction.

According to the question, rational number are those numbers which takes positive integers, negative integers as well as zero.

Therefore, on a number line, the opposite of (-12) is 12. And again the opposite of 12 is (-12). Therefore the first statement is correct.

Hence, the correct statement for the rational number is the opposite of the opposite of -12 is -12.

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Given:

There is a graph given in the question

Required:

We want to find the solution of the given graph

Explanation:

As we can see that, both lines are parallel so there is no chance for intersection

now if there is no intersection point means there is no solution

Final answer:

No solution

Answer:

B

Step-by-step explanation:

the surface area is the sum of all individual side areas.

a prism (like a cube that is a special prism) has 6 sides.

top-bottom

left-right

front-back

in our case top and bottom are 5×5 squares.

and the other 4 sides are equal 5×20 rectangles.

so, we get

top-bottom : 2× 5×5 = 50 cm²

left-right : 2× 20×5 = 200 cm²

front-back : 2× 20×5 = 200 cm²

in total we have

200 + 200 + 50 = 450 cm²

The set A ∪ B ∪ C will be {1, 2, 3, 4, 5, 7, 9, 11},  (A – B) ∩ C is ∅, and A' ∪ B is {2, 3, 5, 7, 9, 11}.

It is defined as a diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

The universal set will be:

U = {1, 2, 3, 4, 5, 7, 9, 11}

Let:

A = {1, 2, 3, 4, 5}

B = {2, 3, 5, 7, 11},

C= {3, 5, 7, 9}

1) A ∪ B ∪ C = {1, 2, 3, 4, 5, 7, 9, 11}

3) (A – B) ∩ C = {1, 4} ∩ C= {3, 5, 7, 9}

(A – B) ∩ C = ∅

5) A' ∪ B = {7, 9, 11} ∪ {2, 3, 5, 7, 11}

A' ∪ B = {2, 3, 5, 7, 9, 11}

Thus, the set A ∪ B ∪ C will be {1, 2, 3, 4, 5, 7, 9, 11},  (A – B) ∩ C is ∅, and A' ∪ B is {2, 3, 5, 7, 9, 11}.

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well, your family really ate "x" for breakfast, was pretty good with cereal and strawberries btw.

let's keep in mind that the LCD of the denominators 4 and 12 is "12", so we'll use that to do away with the denominators.

[tex]\stackrel{\textit{before breakfast}}{\cfrac{3}{4}}~~ - ~~\stackrel{for~breakfast}{x}~~ = ~~\stackrel{leftover}{\cfrac{1}{12}} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{3}{4}-x \right)~~ = ~~12\left( \cfrac{1}{12} \right)}\implies 9-12x=1 \\\\\\ 9=12x+1\implies 8=12x\implies \cfrac{8}{12}=x\implies {\Large \begin{array}{llll} \cfrac{2}{3}=x \end{array}}[/tex]

x = 2

f(x) = -2x² + 8x - 9

Comparing this function with f(x) = ax² + bx + c

a = -2, b = 8, c = -9

The axis of symmetry is given by the formula:

x = -b/2a

Substitute a = -2 and b = 8 into the formula:

x = 2

Answer:

g(-1)=2, g(0)=1, g(1)=1/2, g(2)=1/4, g(3)=1/8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

See that the slope of the parabola changes at x=4

And left of x=4, the slope is positive, meaning the value is increasing (you can also see it directly from the graph)

Right of x=4, the slope is negative, meaning the value of the graph is decreasing. Thus the answer is A

Step-by-step explanation:

Simplifying

8x + -10 + 10 + 4x = -10 + 6x + 6x + 10

Reorder the terms:

-10 + 10 + 8x + 4x = -10 + 6x + 6x + 10

Combine like terms: -10 + 10 = 0

0 + 8x + 4x = -10 + 6x + 6x + 10

8x + 4x = -10 + 6x + 6x + 10

Combine like terms: 8x + 4x = 12x

12x = -10 + 6x + 6x + 10

Reorder the terms:

12x = -10 + 10 + 6x + 6x

Combine like terms: -10 + 10 = 0

12x = 0 + 6x + 6x

12x = 6x + 6x

Combine like terms: 6x + 6x = 12x

12x = 12x

Add '-12x' to each side of the equation.

12x + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Simplifying

8x + -10 + 10 + 4x = -10 + 6x + 6x + 10

Reorder the terms:

-10 + 10 + 8x + 4x = -10 + 6x + 6x + 10

Combine like terms: -10 + 10 = 0

0 + 8x + 4x = -10 + 6x + 6x + 10

8x + 4x = -10 + 6x + 6x + 10

Combine like terms: 8x + 4x = 12x

12x = -10 + 6x + 6x + 10

Reorder the terms:

12x = -10 + 10 + 6x + 6x

Combine like terms: -10 + 10 = 0

12x = 0 + 6x + 6x

12x = 6x + 6x

Combine like terms: 6x + 6x = 12x

12x = 12x

Add '-12x' to each side of the equation.

12x + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Based on the given ordered pairs, yes, the relation is a function.

A function simply refers to a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.

Based on the ordered pairs shown above, we can reasonably infer and logically deduce that these ordered pairs represent a function because the elements of the set of "x" are uniquely mapped to the elements of the set of "y" as shown below:

x              y__

-2    ↔     4

-1      ↔    7

0     ↔     -6

5     ↔      3

7      ↔     5

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In order to find the x-intercept we need to make y=0

Then we isolate the x

x y Ordered Pair type of intercept

0 0 (0,0) x-intercept

Now for the y-intercept we need to make x=0

we isolate the y

0 0 (0,0) y-intercept

ANSWER

0 0 (0,0) x-intercept

2pi/3 radians=120 degrees

F is 90 degree.

j is 180 degree

midpoint of F and J is 150 degree.

H is 150 degree

Hence,

G is 120 degree

Time taken to cover path around the park if he runs at speed 5miles/hour is 15.96min

What is Speed ?

Speed indicates how quickly something or someone is moving. If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance x time.

Given that,

Time taken when Bob runs 4miles/hour = 20min

Time taken when Bob runs 5miles/hour = ?

First we have to find the distance of the path around the circle

Distance = speed x time

               = 4 x 20/60

               = 4/3 miles

               = 1.33 miles

Now to calculate the time when he ran 5 miles/hours:

Time = distance / speed

         = 1.33 / 5

         = 0.266hours

0r

         = 0.266 x 60 min

         = 15.96 min

Hence, its will take 15.96min to cover the path around the park

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The cost of the jalapeno poppers is $11.09    .

In the question ,

it is given that

Cost of the nachos = $18.85

amount paid by each friend = $9.98

amount paid by three friends = 9.98*3 = $29.94

let the cost of jalapeno poppers = $x

So according to the question

the total amount paid by three friends = cost of nachos + cost of jalapeno poppers

Substituting the values from above , in the equation we get

29.94 = 18.85 + x

simplifying further , we get

x = 29.94 - 18.85

x = 11.09

Therefore , the cost of the jalapeno poppers is $11.09  .

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The given coordinate of the vertices of triangle XYZ is X(-2,2), Y(4,2) and Z(1,-5).

a). When rotates 180 degrees clockwise the new coordinate of the triangle can be determined as,

b). The original and the new coordinates of the triangle can be drawn as,

The original and the new triangles can be drawn as,

Integer represents the total change in the time when you use 5 clues with the condition of using 3 free clues is equal to 10 minutes.

As given in the question,

Number of free clues =3

Total number of clues used to escape from a room = 5clues

Out of these 5 clues, 3 clues are free to use. Hence these 3 clues do not result in any time change.

Hence total time elapsed after usage of 3 clues = 0

Each removes 5 minutes from your remaining time

Integer represents the total change in the time for the usage of 4th and 5th clue = 10 minutes

So overall change in timeline after consuming 5 clues = 10 minutes since each of the 4th and 5th clue results in decrease of 5 minutes each; thus effecting 10 minutes total time change (reduction)

Therefore, integer represents the total change in the time when you use 5 clues with the condition of using 3 free clues is equal to 10 minutes.

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The y-axis it's a vertical line, so is represented by x=0.

Then, a parallel line to this one has to be vertical too, and if it passes thorugh (-2, 3). The equation of the parallel line would be x=-2.

Let me explain with a graph:

The required probability that exactly  6 insects will die is 60%.

Given that,
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide in a particular experiment. The probability that exactly 6 insects will die is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
Total number of sample spaces = 10
Total number of favorable outcomes = 6
probability can be given as,
= 6 / 10
= 0.6 or 60%

Thus, the required probability that exactly  6 insects will die is 60%.

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Answer:

Four.

Step-by-step explanation:

6 divided by 1.5 is 4. We do that because if it takes 1.5 mins to make a full rotation and it takes 6 minutes to do blank rotations, the answer is 4 bc we either ti.es 1.5 by 4 to get 6, or do 6 divided by 1.5 to get 4. Sorry if that was confusing.

The line through (1, 0, 1) and (4, −4, 4) intersect the plane x + y + z = 6 at point (7,-8,7).

As given,

Equation of the line passes through two points (1, 0, 1) and (4, −4, 4) is:

[tex]\frac{x-4}{4-1}=\frac{y+4}{-4-0}=\frac{z-4}{4-1}[/tex]

From the above equation we have

(x-4)/3 =(y+4)/-4

⇒-4x+16= 3y+12

⇒y=(-4x +4)/3  __(1)

And

(x-4)/3=(z-4)/3

⇒z=x __(2)

Substitute the value of y and z in the plane x +y+ z=6 to get point of intersection of line and plane

x+ [(-4x +4)/3] +x=6

⇒3x-4x+4 +3x =18

⇒2x=14

⇒x=7

Substitute value of x in (1) and (2)

y=-8 and z=7

Therefore, the line through (1, 0, 1) and (4, −4, 4) intersect the plane x + y + z = 6 at point (7,-8,7).

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Answer:

29

Step-by-step explanation:

Add 28 + 16=44

Subtract 44 - 15=29