To pass an Examination consisting of four papers, candidates MUST score a mean mark of 40% or above and NOT less than 33% in each paper. The table below shows the marks for 3 students. Using the tables, which students passed the examination? Give reason(s).

Answer

-11/3>x>7/3

Step-by-step explanation:

|3*7/3+2|=9

|7+2|=9

|9|=9

9=9

therefore, x must be > 7/3

|3*-11/3+2|=9

|-11+2|=9

|-9|=9

9=9

therefore, x must be < -11/3

Answer:

Solution : Parabola

Step-by-step explanation:

As you can see only one variable is square in this situation, so it can only be a parabola. We can prove that it is a parabola however by converting it into standard form (x - h)^2 + (y - k)^2.

[tex]y^2-1=4\left(x-7\right) = y^2-1=4\left(x-7\right)[/tex]

Respectively it's properties would be as follows,

[tex]\left(h,\:k\right)=\left(\frac{27}{4},\:0\right),\:p=1[/tex]

Answer:

A (4x-12)

Step-by-step explanation:

Still think of PEMDAS: 8-4(-x=5)

a) Multiply -4(-x + 5)

* -4(-x) = 4x (remember a neg x neg = pos)

* -4(5) = - 20

b) Now it reads = 8 +4x - 20

c) put all like terms together

* 8 - 20 = -12

Answer:

(2, - 1 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , thus

O(- 1, - 2 ) → (2, - 1 )

Answer:

9 cm

Step-by-step explanation:

First, we need to find the volume of the cylindrical water bottle. The volume of a cylinder is πr²h where r = radius and h = height. In this case, r = diameter / 2 = 6.5 / 2 = 3.25 and h = 21 so the volume is π * 3.25² * 21 = 221.8125π ≈ 696.84. Let's call the length of the cubic container s. The volume of the cube (which is s³) must be at least the volume of the water bottle, therefore:

s³ ≥ 696.84

∛s³ ≥ ∛696.84

s ≥ 8.86566

The smallest integer value that satisfies this is 9 cm.

Answer:

m∠BTD and m∠ATP

m∠ATN and m∠RTD

Answer:

ATN & RTD, BTD& ATP

Step-by-step explanation:

To find out which pairs of angles are vertical in the picture let's define it first

Vertical Angles: Opposite Angles

It can't be the first one because the angle vertical to RTP is BTN

ATN & RTD

It isn't the third option since the angle opposite to DTN is RTA

BTD& ATP

Answer : The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

Step-by-step explanation :

Area of composed figure = Area of parallelogram + Area of square + Area of rectangle

First we have to calculate the area of parallelogram.

Area of parallelogram = Base × Height

Given:

Base = 10 in

Height = 3.5 in

Area of parallelogram = 10 in × 3.5 in

Area of parallelogram = 35 in²

Now we have to calculate the area of square.

Area of square = (Side)²

Given:

Side = 4 in

Area of square = (4 in)²

Area of square = 16 in²

Now we have to calculate the area of rectangle.

Area of rectangle = Length × Breadth

Given:

Length = 12.5 in

Breadth = 6 in

Area of rectangle = 12.5 in × 6 in

Area of rectangle = 75 in²

Now we have to calculate the composed figure.

Area of composed figure = Area of parallelogram + Area of square + Area of rectangle

Area of composed figure = 35 in² + 16 in² + 75 in²

Area of composed figure = 126 in²

Therefore, the area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

The area of the given figure is 126in²

The given figure is a composite figure composed of a parallelogram, a square and a rectangle.

Get the area of the square

Area = L²

Area of the square = 4² = 16in²

Area of the rectangle = 6 * 12.5

Area of the rectangle = 75in²

For the parallelogram:

Area of the parallelogram = Base * Height

Area of the parallelogram = 10 * 3.5

Area of the parallelogram  = 35 in²

Area of the figure = 75in² + 35in² + 16in²

Area of the figure = 126in²

Hence the area of the figure is 126in²

Learn more on area of composite figures here: https://brainly.com/question/10254615

Answer & step-by-step explanation:

Answer:

Well i haven't found the hours out because the problem doesn't specify how many hours you can rent the boat for. I did do the math and you can rent the boat and the paddles for 13 dollars. This means that David can rent the boat for 3 days and he will have 6 dollars left over. I hope this helped you.

Simplest form:

7 x^3 − 5 x^2 + x + 2

Answer:

The second option

Step-by-step explanation:

the range is all the y vaules

Answer:

p=1

Step-by-step explanation:

4p - 3(p + 5) = 3p - 17

Distribute

4p -3p -15 = 3p -17

Combine like terms

p -15 = 3p -17

subtract p from each side

p-p -15 = 3p -17-p

-15 = 2p -17

Add 17 to each side

-15+17 = 2p -17+17

2 = 2p

Divide by 2

2/2 = 2p/2

1 =p

Answer:

Need points! Give brainliest! (a useless mod deleted all my answers for no reason)

Step-by-step explanation:

4p -3p-15 = 3p-17

2 = 2p

p = 1

Answer:

False

Step-by-step explanation:

f(x)=4x^3-12x^2-x+15

Using synthetic division

-2     4  -12   -1     15

            -8   40    -78

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

       4   -20  39  -63

Since this is not zero, this is not a lower bound

Answer:

[tex]\Large \boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=4x^3-12x^2-x+15[/tex]

The zeros of the function is the values at which the function crosses the x-axis.

The value -2 is not a lower bound for the zeros of the function.

Answer:

a set of integers is closed under addition, subtraction, and multiplication because when you add, subtract, or multiply any integers, the result is always an integer.

Step-by-step explanation:

Answer:

[tex]a\neq 0 \text{ and } b\neq 0[/tex]

Step-by-step explanation:

So we have the rational expression:

[tex]\frac{-12a^3b^5}{4a^2b^7}[/tex]

In rational expressions, the restrictions of the expression would be the zeros of the denominator Therefore, set the denominator equal to zero and solve for its zeros:

[tex]4a^2b^7=0[/tex]

Zero Product Property:

[tex]4a^2=0\text{ or } b^7=0\\[/tex]

Solve for a and b:

[tex]4a^2=0 \text{ or } b^7=0\\a\neq 0 \text{ or }b\neq 0[/tex]

Therefore, the restrictions on the variables are that a and b cannot equal zero.

Answer:

31, 37

Step-by-step explanation:

Let the smaller number be x

Therefore, longer number = x + 6

According to the given information:

x + x + 6 = 68

2x + 6 = 68

2x = 68 - 6

2x = 62

x = 62/2

x = 31

x + 6 = 31 + 6 = 37

Thus, the two parts of 68 are 31 and 37.

Answer:

b:chockelet

Step-by-step explanation:

Answer:

0.0000625

Step-by-step explanation:

[tex]10^{-5}=0.00001[/tex]

[tex]6.25*10^{-5}=6.25*0.00001=0.0000625[/tex]

Answer:

So we need to express [tex]6.25 * 10^{-5}[/tex].

What is being used here is scientific notation, and when the exponent is negative, that means the number is less than 1.

As the exponent is -5, we have to move the coma 5 positions to the left (if it was positive we would have done that put to the right), so:

[tex]6.25 * 10^{-5}=0.0000625[/tex]

If you don't understand what does it mean to move the coma to the left, see this example to understand it:

We move it one time from 6.25 --> 0.625

We move it two times from 6.25 --> 0.0625

We move it three times from 6.25 --> 0.00625

We move it four time from 6.25 --> 0.000625

What we are doing is adding 0 to the left and if the exponent was positive, we would add 0 to teh right.

So now we know that [tex]\boxed{6.25 * 10^{-5}=0.0000625}[/tex]

Answer:

Step-by-step explanation:

f(x) = 4x + 30

g(x) = x - 1

In order to find (fºg)(5) first find ( f • g)(x)

To find ( f • g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g(x)

So we have

( f • g)(x) = 4(x -1) + 30

= 4x - 4 + 30

( f • g)(x) = 4x + 26

To find (fºg)(5) substitute the value of x that's 5 into (f • g)(x)

That's

(fºg)(5) = 4(5) + 26

= 20 + 26

We have the final answer as

Hope this helps you

Answer:

46

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A  is a function because  all quadratics are functions because it shows the graph of a parabola.  

B   is also a function because it is a quadratic equation  

C    is a function because it is a linear function    

D which  I don't know about doesn't looks like it represent a function.

Answer:

22.36 feet

Step-by-step explanation:

This situation forms a right triangle, where the wire is the hypotenuse

Use the pythagorean theorem to find the hypotenuse/wire length:

a² + b² = c²

20² + 12² = c²

400 + 144 = c²

544 = c²

22.36 = c

So, the wire is 22.36 feet long

Answer:

d = 12 and n = 26

Step-by-step explanation:

Given that the fractions are equivalent then

[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{d}[/tex] ( cross- multiply )

2d = 24 ( divide both sides by 2 )

d = 12

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

and

[tex]\frac{2}{3}[/tex] = [tex]\frac{n}{39}[/tex] ( cross- multiply )

3n = 78 ( divide both sides by 3 )

n = 26

The fractions represent the same amount or value given that they are

equivalent.

Reasons:

Equivalent fractions are fractions that have equal values, therefore;

[tex]\displaystyle \frac{2}{3} = \frac{8}{d} =\frac{n}{39}[/tex]

Which by cross multiplying gives;

2 × d = 8 × 3 = 24

Therefore;

[tex]\displaystyle d = \frac{24}{2} = \mathbf{12}[/tex]

d = 12

Similarly, we have;

[tex]\displaystyle \frac{2}{3} =\frac{n}{39}= \frac{8}{d}[/tex]

Which gives;

2 × 39 = 3 × n

Therefore;

[tex]\displaystyle n = \frac{2 \times 39}{3} = \mathbf{26}[/tex]

n = 26

Learn more about equivalent fractions here:

https://brainly.com/question/13489708

Answer:

200n+50x+4000=Total Salary

Step-by-step explanation:

Answer:

see below (I hope this helps!)

Step-by-step explanation:

|3x| > -12

There are two cases, x is either positive (in which |3x| = 3x) or negative (in which |3x| = -3x). Therefore:

3x > -12 or -3x > -12

x > -4 or x < 4 (Remember, multiplying / dividing an inequality by a negative number flips the sign.)

Answer:

All real numbers.

Step-by-step explanation:

So we have the equation:

[tex]|3x|>-12[/tex]

Remove the absolute value bars. Definition of absolute value:

[tex]3x>(-12)\text{ or } 3x<-(-12)[/tex]

Note that we change the sign on the right because we multiplied by a negative.

Divide both sides by 3:

[tex]x>-4\text{ or }x<4[/tex]

Now, look at this inequality. This says that the solution is all the numbers to the right of -4 and all numbers to the left of 4.

I've provided a number line. The red line represents x>-4 and the blue line represents x<4.

As you can see, every value is covered both towards the left and the right.

In other words, our answer is all real numbers.

Answer:

$0.50

Step-by-step explanation:

According to the information given, in the equation  t=kh, t is the total amount a customer is charged and h is the amount of hot dogs purchased. So, to be able to get the total amount a customer is charged you have to multiply the amount of goods bought by the price of each good. Because of that, K would be the price per hot dog which is $0.50.

Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

Answer:

The correct option is (D).

Step-by-step explanation:

A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.

That is:

x₁ → y₁

x₂ → y₂

x₃ → y₃

.

.

.

and so on.

Consider the graph.

From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.

So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Given :

Draw the graph of the three lines in order to determine the function is one-one function or not.

The equation of the line passing through (-5,6) and (-2,0) is given by:

[tex]\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}[/tex]

[tex]\dfrac{y-6}{x+5}=\dfrac{-6}{3}[/tex]

[tex]y-6=-2(x+5)[/tex]

y + 2x + 4 = 0    --- (1)

The equation of the line passing through (-2,0) and (2,2) is given by:

[tex]\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}[/tex]

2y = x + 2   ---- (2)

The equation of the line passing through (2,2) and (4,-2) is given by:

[tex]\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}[/tex]

y - 2 = -2(x - 2)

y + 2x = 6   ---- (3)

Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.

So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/12465796

Step-by-step explanation:

Using slope intercept for y = mx + b, substitute m = - 1/4, and (-8, 5) in for (x, y) to find the y-intercept

Answer:

7/20

Step-by-step explanation:

10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles = 25 marbles

25-10 = 15

There are 15 not blue marbles

P( not blue ) = not blue marbles / total = 15/25 = 3/5

keep the not blue marble

25-1 = 24 marbles left

15-1 = 14 not blue marbles

P( not blue ) = not blue marbles / total = 14/24 = 7/12

P( not blue, keep, not blue) = 3/5 * 7/12 = 21/60 = 7/20

Answer:

7/20

Step-by-step explanation:

10(blue) + 4(black) + 5(white) + 6(red) = 25(total)

25(total)-10(blue)=15(not blue)

not blue/all = 15/25 = 3/5 = probability that first marble removed are not blue

If we remove 1 marble;

25-1 = 24 (total) , 15-1=14(not blue)

second not blue/all = 14/24 = 7/12 = probability that second marble removed are not blue

probability that both marbles removed are not blue : 3/5. 7/12 = 21/60

21/60 = 7/20

Hope this helps ^-^