The linear inequality y ≤ 3/2x + 3/2
is graphed. Determine a solution for the inequality.
A) (0, 2)
B) (1, 3)
C) (-2, 0)
D) (-3, 1)

To find the length of Rajesh's shoe, convert the additional length from millimeters to centimeters and add it to Pinky's shoe length. Rajesh's shoe is 21.1 cm long.

The subject of this question is Mathematics and it is suitable for a Middle School student. To find the length of Rajesh's shoe, we need to add the length of Pinky's shoe to the additional length that Rajesh's shoe has. Pinky's shoe is 20.4 cm long, and Rajesh's shoe is 7 mm longer.

Firstly, we need to convert millimeters to centimeters since 1 cm equals 10 mm. Therefore, 7 mm is equivalent to 0.7 cm (since 7 divided by 10 equals 0.7).

Next, we add this length to Pinky's shoe length:

Rajesh's shoe length equals 21.1 cm.

Answer:

34.2

Step-by-step explanation:

Substitute y = 2x - 4 to x + 2y = 12:

x + 2(2x - 4) = 12    use distributive property

x + (2)(2x) + (2)(-4) = 12

x + 4x - 8 = 12     add 8 to both sides

5x = 20    divide both sides by 5

x = 4

Put the value of x to the first equation:

y = 2(4) - 4

y = 8 - 4

y = 4

Answer:

x=4, y=4

Step-by-step explanation:

y=2x-4;

x+2y=12

We can use substitution since the first equation is solved for y

Where ever you see y in the second equation, replace it with 2x-4

x + 2(2x-4) = 12

Distribute the 2

x+4x-8 = 12

Combine like terms

5x-8=12

Add 8 to each side

5x-8+8=12+8

5x=20

Divide by 5

5x/5 = 20/5

x =4

We still need to solve for y

y = 2x-4

We know x =4

y = 2(4) -4

y = 8-4

y=4

Answer: Based on the given data, the coconut has a height of 210 units and it hits the ground between 4 to 5 seconds where the height is less than zero or a negative number, this means that probably the coconut was buried in the ground at these times. The correct answers are:

The values of h(t) when t = 4 and 5 should be 0. This could also be without the assumption that the coconut is buried after falling. 

Answer:

its C

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Given that two lines are perpendicular.

Slope of green line (one of the lines) is -3.  

To find the slope of other perpendicular line red.

We know that angle between two lines with slopes m1 and m2 would be

[tex]tan^{-1} \frac{m1-m2}{1+m1m2}[/tex]

where m1 is the slope of I line and m2 slope of second line.

Here since two lines are perpendicular angle between them is 90 degrees and hence we get infinity as tan x

this implies denominator for [tex] \frac{m1-m2}{1+m1m2}[/tex]=0

i.e. 1+m1m2 = 0

Or m1m2 =-1

Since one of slope m1 = -3 we have

-3m2= (-1) or m2 = 1/3

Answer:

-3

Step-by-step explanation:

Apex~

Look at the picture.

Well considering that

F (1) = 8

F (x) = f(x-1) + 13

(Meaning the previous term plus 13)

So

F (x) = 13x - 5

F (0) = -5

The 20th term of the given arithmetic sequence 8, 21, 34, 47, 60... is 255.

In the field of mathematics, this type of problem is referred to as an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This difference is called the common difference.

In your question, the arithmetic sequence provided is 8, 21, 34, 47, 60... Here, the common difference is 13 (i.e., every term after the first is 13 more than the preceding term).

To find any term (let's say the nth term) in an arithmetic sequence, you can use the formula:

nth term = first term + (n - 1) * common difference

Applying this formula to find the 20th term:

20th term = 8 + (20 - 1) * 13 = 8 + 247 = 255

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Answer:

The answer is A or the first one

Answer:

it's (2,3)

because look at the intersection between 2 line, that's the solution, it said nearest, so (2,3) is the most accurate

The factored equivalent expression for 12z+36 is 12(z + 3) after factoring out the common factor of 12.

When asked to write all factored equivalent expressions for 12z+36, we look for common factors. Both terms have a common factor of 12. Factoring out the 12, we get 12(z + 3). There are no other common factors, and the expression cannot be factored further as both terms within the parentheses are prime with respect to each other.

Answer:b = (2A - hB)/h

Step-by-step explanation:

See , we know area of a trapezoid is equal to 1/2*(sum of parallel sides)* perpendicular distance between parallel sides.

Here B and b are parallel sides which we know by comparing the equation.

And 'h' here is the perpendicular distance between parallel sides.

We have to write the equation in terms of one of the parallel sides 'b'

Our formula is A = 1/2*h*(B+b)

I.e. 2A = h*(B+b) (Multiplying both sides by 2)

I.e. 2A - hB = hb

I.e. b = (2A - hB)/h

Hope it helps!!!

Answer:

D) [tex]\frac{2A}{H} -b[/tex]

Answer:

5 mililmiters = 0,005 meters = 0,000005 kilometers

2 kilometers = 2000 meters

Step-by-step explanation:

km  / hectometer / decameter / meter / dcm / centimeter / milimeter

1000 m /     100  m   /    10   m     <     1  >    0,1 m/    0,01  m     /  0,0001 m

1 meter = 0,  1 decimeters / 0, 01 centimeters /0, 000 1 millimeters

1 meter = 10 decameters / 100 hectometers / 1000 kilometers

so 5 millimeters = 0,005 meters = 0, 000 005 kilometers

so  2 km = 2 000 meters  = 2 000 000 millimeters

the reference unit of measure is the meter.

When multiplying the same base with exponents, you keep the base the same and then you add the exponents, so for this question you do:

10^3 x 10^6

10^9

Answer:

geometric

arithmetic

arithmetic

Step-by-step explanation:

1.

4/9,4/3,4,12,36

Multiply each term by 3 to get the next term. There is a common ratio between terms, so it geometric.

2.

0,1,2,3,4,5,6

Add 1 to each term to get the next term. Since there is a common difference between terms, it is an arithmetic sequence.

3.

-10,-6,-2,2,6,10

Add 4 to each term to get the next term. Since there is a common difference between terms, it is an arithmetic sequence.

Answer:

Step-by-step explanation:

If you know what g(x) looks like, you can find f(x). Every y point of g(x) is f(x) + 6.

The general point of g(x) is (x,f(x) + 6). That is the major difference. Just so you can see it visually, the both graphs are shown below.

red: f(x) = x^2

blue: f(x) = f(x) + 6 = x^2 + 6

green: x = 2  With the two points shown that intercept the two given functions.

Purple(?): x = - 2 with the two points shown that intercept the two given functions.

The graphs of both g(x) =x² +6 and f(x)=x² are parabolas. However, while the vertex of the graph of f(x) = x^2 is at the origin, the graph of g(x) = x² + 6 is shifted upwards by six units, with the vertex of g(x) at (0,6). The shape of the two graphs is identical.

The graphs of g(x) =x² +6 and f(x)=x² are both parabolas, but their positions differ on the coordinate plane. The function f(x) = x² is a standard quadratic function with a vertex at the origin (0,0). On the other hand, g(x) = x² + 6 is a vertical translation of the graph of f(x) = x2 upwards by six units. So, the vertex of g(x) is at the position (0, 6). Furthermore, the shape of the two graphs will remain the same as they both have the same degree and leading coefficient.

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Answer:

Step-by-step explanation:

You have to distinguish the difference between a ratio of yellow bulb to red bulb and red bulb to total and yellow bulb to total. The totals are where you start.

2 bulbs out of 5 are yellow

3 bulbs out of 5 are red

Yellow

Set up the proportion for yellow. You could start with red.

Red

Note: Yellow to red is 2/3            

[tex]-2y=-x+8\qquad\text{divide both sides by (-2)}\\\\y=\dfrac{1}{2}x-4\\\\for\ x=0\to y=\dfrac{1}{2}(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=2\to y=\dfrac{1}{2}(2)-4=1-4=-3\to(2,\ -3)\\\\for\ x=4\to y=\dfrac{1}{2}(4)-4=2-4=-2\to(4,\ -2)[/tex]

Answer:

  q = 10

Step-by-step explanation:

The desired form is a rearrangement of the given equation, divided by the leading coefficient.

A monic polynomial is one with a leading coefficient of 1. The desired form requires that we start from that condition. In order to avoid fractions, we can begin by subtracting the constant term on the left.

  2x^2 -20x +49 = 19 . . . . . . given

  2x^2 -20x = -30 . . . . . . . . subtract 49

  x^2 -10x = -15 . . . . . . . . . divide by 2

The square of the binomial a+b is given by ...

  (x +b)^2 = x^2 +2bx +b^2

That is the constant term on the right is the square of half the coefficient of x. To achieve this perfect square trinomial in our equation, we need to add the square of half of -10.

  x^2 -10x +25 = -15 +25 . . . . . . add (-10/2)^2 = 25 to both sides

  (x -5)^2 = 10 . . . . . . . . . . . write in the desired form

The value of q in the form ...

  (x -p)^2 = q

is 10.

Answer:

A

Step-by-step explanation:

Pi is a never ending number.

The answer is B) because it is not a never ending number

Also, the question in the picture asks which is a rational number, not irrational

2y/x^2

Replace x and y with the given values:

2(-3) / 4^2

2*-3 = -6

4^2 = 16

Now you have -6/16. which can be simplifies to  -3/8

Answer:

y = 6/5 x-1  slope intercept form

6x-5y = 5  standard form

Step-by-step explanation:

We have the points  (0,-1) and (-5,-7)

We can find the slope using

m = (y2-y1)/(x2-x1)

 = (-7--1)/(-5-0)

 = (-7+1)/(-5-0)

 = -6/-5

 = 6/5

We also have the y intercept ( when x=0)  It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form  ax+by = C

Multiply both sides by 5

5y =5* 6/5 x-1*5

5y = 6x-5

Subtract 6x from each side

-6x+5y = 6x-6x-5

-6x+5y = -5

Multiply by -1

6x-5y = 5

Answer:

Bar Graph

Step-by-step explanation:

A bar graph would be best.

B.Double Bar Graph

There are TWO types of people so it needs to be a two type Bar Graph as in double Bar Graph. A line graph is not right because it is changes over time.

Answer:

Option B is correct.

Reason:It is an argument

Step-by-step explanation:

Given: [tex]AB \cong BC[/tex]  and [tex]BC \cong EF[/tex]

By transitive property:  a = b  and b = c then, a =c

⇒[tex]AB \cong EF[/tex]

AB = EF                                [def of [tex]\cong[/tex] segment]

By Segment Addition Postulate states that given  two points A and C, and a third point B lies on the line segment AC if and only if the distances between the  points satisfy the equation

AB + BC = AC.

Since, the line segment EG , F lies on the line segment;

then, by segment addition postulates we have;

EG = EF + FG

By substitution AB=EF

⇒ EG = AB + FG                     hence proved!

Since, in the fourth statement reason is:  It is an argument

Answer:

b

Step-by-step explanation:

Answer:

36 - 1/2x = 0

72 minutes

Step-by-step explanation:

there is a total of 3 feet in the pool at the start, 1 ft = 12 in, and 3 ft = 36 in. the pool is losing water, so we have to subtract. it is losing water at a rate of -1/2 in per minute, and we don't know how many minutes it will take

we have to set it equal to 0 because we are trying to find out how long it will be until the pool is completely drained, which is when there will be no water left, so it will be 0

subtract 36 from both sides

-1/2x = -36

divide both sides by -1/2

x = 72

72 minutes

Force=mass x acceleration

Plug in 250 N for the force and 5 m/s2 for the acceleration; solve for mass

250=5m

50kg=m

Hope this helps!!

The equation of a vertical line: x = a (a - any real number).

x-intercept = -2, therefore your answer is:

Answer:

Step-by-step explanation:

To solve the equation, Jacob must add -3 to both sides, and multiply by 1/2 both of them, as it's shown below:

[tex]2x+3-3=5-3\\2x=2\\\frac{2x}{2}=\frac{2}{2}\\x=1[/tex]

So, you see, applying all operations like option A, we easily solve the equation.

Answer:

The correct option is A) Jacob added -3 to both sises and multiplied both sides by 1/2.

Step-by-step explanation:

Given :

[tex]2x+3=5[/tex] -------- (1)

Solution :

To find the value of x from equation (1) we have to first add both side -3 in equation (1), we get

[tex]2x = 2[/tex]

Now, multiply both the side of equation (1) by

[tex]\dfrac{1}{2}[/tex]

[tex]x= 1[/tex]

Therefore option A) is correct.

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Answer:

r = ¼

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

We can get the value for r by dividing aₙ by aₙ₋₁.

a₄/a₃ = ¼

r = ¼

Answer:

Density = 1.042  grams /cm^3

Step-by-step explanation:

Work out the mass of each of three in a unit volume (cm^3)

Givens

Mixture

35 cm^3 Apple Juice = 1.04 grams / cm^3 * 35 cm^3 = 36.4 grams

25 cm^3 Fruit = 1.6 grams/cm^3 * 25 cm^3 =                  40    grams

270 cm^3 water = 0.99 * 270                                        267.3 grams

Total Mixture

Density

Density = mass / volume = 343.7 / 330 = 1.0415

Answer

1.042 grams / cm^3  

The density of the resulting drink is; 1.042 grams per cm³.

To find the density of the resulting drink, we need to first determine the mass of each of the constituents.

The masses of the constituents can be found as follows;

For apple juice;

For fruit syrup;

For sparkling water;

Therefore, the total mass of the drink is;

And, since the total volume of the drink is 330cm³

Density of the drink = 1.042 grams per cm³.

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