Is this function linear or nonlinear y=1/2x^{2}
will give brainliest

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Data provided in the question

There is a total group of 45 students

Art + biology = 5

8 study biology but not Art

Neither subject studied = 9

Based on the above information, the probability of student that studies

art and biology is

Since there is a group of 45 students out of which 5 study both art and biology

So, the ratio is

4: 5

Now divide both sides by 5

So, now the ratio is

9:1

Therefore it means the probability is [tex]\frac{1}{9}[/tex]

solution,

X=5

[tex]y = \frac{x + 9}{x - 3} \\ = \frac{5 + 9}{5 - 3} \\ = \frac{14}{2} \\ = 7[/tex]

hope this helps...

Good luck on your assignment..

Answer:

When x=5

Y=(5+9)÷(5-3)

= 14 ÷2

= 7

Answer:

Range = [5, ∞)

Step-by-step explanation:

The initial  number of snakes is 5 and it is increasing at a high rate so the maximum number is infinite. The population is increasing exponentially according to the equation  P = 5(2)^t  where t = the number of years.

Answer:

The answer is A.

Step-by-step explanation:

The inequality states that the amount that Yvonne drives is more than 540 miles.  Since h represents the number of hours, we know that 69 probably means the number of miles Yvonne can drive per hour.  Finally, 126 shows the amount of miles that Yvonne has already driven.

Answer:

(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15

3x4 - 2x3 - 4x2-5 is equals to -7

Step-by-step explanation:

1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)

3 x 4 = 12     5 x 2 = 10     12 - 10 = 2     2 - 4 = -2

2 x 3 = 6     6 x 2 = 12     12 + 1 =  13

-2 - 13 = -15

2.)3x4 - 2x3 - 4x2-5 is eaquals to -7

3 x 4 = 12     2 x 3 = 6     12 - 6 = 6     4 x 2 = 8

6 - 8 = -2     -2 - -5 = -7

Those were my answers

Answer:

The correct answer is C

Step-by-step explanation:

As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.

Answer:

1) x = 71°, 2) x = 27°, 3) x= 32°

Step-by-step explanation:

1) Rectangle ABCD.

∠D = 90°

From ΔABE.

∠EAB +∠ABE + ∠BEA = 180°

45 + 90 +∠BEA = 180

∠BEA = 45

∠BEA + ∠AED +∠DEC = 180 °, because ∠BEC is a straight angle

45 + x + 64 = 180

x = 71°

2) Δ XYZ  is equilateral, all angles = 60°.

∠YZX = 60°.

∠YZW = 180°, because it is a straight angle.

∠YZX + ∠XZW= 180

60 +  ∠XZW= 180

∠XZW = 120.

From ΔXZW

∠ZXW + ∠XWZ + WZX = 180

x + 33 + 120 = 180

x = 27°

3) In ΔPQR,

PQ =  PR, so ∠PQR = ∠PRQ = 69°

∠PRQ + ∠PRS = 180, because ∠QRS = 180° as straight angle.

∠PRQ + ∠PRS = 180

69 + ∠PRS = 180

∠PRS  = 111°.

From ΔPRS

∠PRS  + ∠RSP + ∠SPR = 180

111 + 37 + ∠SPR = 180

111 + 37 + x= 180

x = 32

Answer:

I believe the answer is C.

Answer:

[tex]y = -2x - 8\\OR\\2x+y+8=0[/tex]

Step-by-step explanation:

Given that there are 2 points

[tex]A(-8,8)[/tex] and

[tex]B(1,-10)[/tex]

So, the coordinates are:

[tex]x_2 = 1\\x_1 = -8\\y_2 = -10\\y_1 = 8[/tex]

Equation of a line is given as:

[tex]y =mx+c[/tex]

where 'm' is the slope of the line, formula for 'm' is given as:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex](x,y)[/tex] are the points that satisfy the equation of the line.

[tex]c[/tex] is the [tex]y -[/tex] intercept.

Calculating the value of m using the given coordinates:

[tex]m=\dfrac{-10-8}{1-(-8)}\\\Rightarrow m=\dfrac{-18}{9} = -2[/tex]

So, the equation of line becomes:

[tex]y =-2x+c[/tex]

Now, putting the coordinates of point [tex]A(-8,8)[/tex]

[tex]8 =-2\times (-8)+c\\\Rightarrow 8 = 16+c\\\Rightarrow c = -8[/tex]

Please refer to the graph of given equation of line.

The equation of line is:

[tex]y =-2x+-8\\OR\\2x+y+8=0[/tex]

Answer: 3rd answer choice

Step-by-step explanation:

Answer: 4th answer choice

Step-by-step explanation:

Answer: perpendicular

Answer:

perpendicular

Step-by-step explanation:

If two lines meet at a right angle they are said to be perpendicular to each other.

Two lines are perpendicular when they intersect at a right angle.

Answer:

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

The factored form of the trinomial = (x+2) (x+8)

Step-by-step explanation:

ax² + bx + c = 0

This is in the form of a trinomial algebraic expression

Given trinomial: = ax² + 10x + 16

Where a = 1, b= 10, c= 16

To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.

Using factorisation method:

ac = a×c = 1×16 = 16

Let's find the factors of 16 whose sum gives +10 and product gives +16

Factors of 16 = 1, 2, 8, 16

+2 + +8 = +10

+2 × +8 = +16

The factors are +2 and +8

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

x² + 10x + 16 = x + 2x + 8x + 16

x² + 10x + 16 = x(x+2) + 8(x+2)

= (x+2) (x+8)

The factored form of the trinomial = (x+2) (x+8)

Answer:

(x+2) (x+8)

Step-by-step explanation:

Answer:

0.03 feet

Step-by-step explanation:

d = 0.03r² + r

When d = 0: 0.03r² + r = 0

r(0.03r + 1) = 0

∴ r = 0

When r = 0: d = 0.03 feet

Answer:

21u-16v+18w

Step-by-step explanation:

(7u-4v+4w) 14u-12v+14w

21u-16v+18w

Answer:

= 21u−16v+18w

Step-by-step explanation:

Let's simplify step-by-step.

7u−4v+4w−2(−7u+6v−7w)

Distribute:

=7u+−4v+4w+(−2)(−7u)+(−2)(6v)+(−2)(−7w)

=7u+−4v+4w+14u+−12v+14w

Combine Like Terms:

=7u+−4v+4w+14u+−12v+14w

=(7u+14u)+(−4v+−12v)+(4w+14w)

=21u+−16v+18w

Answer:

=21u−16v+18w

Answer:

The equation above represents the total time the play director spent preparing for a play.

Step-by-step explanation:

The time spent by the play director for preparing for a play is, 190 hours.

Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.

Let the varying amounts of time be denoted by, x.

The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.

The equation provided is:

[tex]35x+\frac{3}{4}=190[/tex]

The equation above represents the total time the play director spent preparing for a play.

Answer:

Children = 200

Adults = 190

Step-by-step explanation:

Children = x

Adults = y

x + y = 390

x = 390 - y..............(1)

20x + 35y = 10650

Substituting

20(390-y) + 35y = 10650

y = 190

x = 390 - 190 = 200

Answer:

Step-by-step explanation:

Number of children = c

Number of adults = a

Total people = 390

a + c = 390 ------------------ (I)

Admission fee for 'c' children = 20 * c = 20c

Admission fee for 'a' adult = 35 * a = 35a

Total amount = $ 10650

35a + 20c = 10650 -------------(II)

Multiply equation (I) by (-20)

(I)*(-20)  -20a - 20c = - 7800

(II)           35a + 20c = 10650    { Now add and so 'c' will be eliminated}

              15a            = 2850

a = 2850/15

a =  190

Plug in a = 190 in equation (I)

190 + c = 390

          c =  390 - 190

c = 200

Number of children = 200

Number of adults = 190

Answer:

g=number of girls in the class b=number of boy in the class

g+b=28

g=11+b

Answer:

Step-by-step explanation:

It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.

Our answer is P= 16/24=2/3=66,66%

Answer:  The answers are in the steps

Step-by-step explanation:

x         y        value of y/x

-3        -3            1

1           1             1

3           3             1

hello,

the first term is 250 so this is the initial invested amount

[tex](1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}[/tex]

is to compute 8% annual interest compounded monthly (there are 12 months in a year)

and then multiply by 4 means that it is computed for 4 years so

finally the answer is

$250 is invested at 8% annual interest compounded monthly for 4 years

hope this helps

Answer:

True

Step-by-step explanation:

In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.

Answer:

picture is attached

Step-by-step explanation:

there are many options but this is one

Answer: Find a common denominator on the right side of the equation

Step-by-step explanation:

You can see that they found the common denominator of 4 therefore that is the correct answer

Answer:

4m X 6m

Step-by-step explanation:

This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.

He divides his usable space into four congruent rectangular patches.

If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

Learn more about congruent triangles here:

https://brainly.com/question/16921692

#SPJ2

Answer:

0.08

Step-by-step explanation:

The probability that the bus is late on any day is 0.2

The probability that it rains tomorrow is 0.4

The probability that it will rain tomorrow and the bus is late is the product of both individuals probabilities.

Therefore:

P(late & rains) = 0.2 * 0.4 = 0.08

Answer:

The probability that it rains and the bus is late is 1/7

Step-by-step explanation:

Practically, we can apply the Bayes’ theorem to solve this.

Mathematically, we use the Bayes’ problem as follows;

P( rain| late) = P(rain ^ late)/P(late) = P( late|rain) • P(rain)/[P(late|rain)P(rain) + P(not late|no rain)P(no rain)]

Where P(no rain) = 1-P(rain) = 1-0.4 = 0.6

P(on time) = 1-P(late) = 1-0.2 = 0.8

Kindly recall that P of raining = 0.4 and the probability that the bus is late is 0.2

Substituting these values into the Bayes’ equation above, we have;

P( rain| late) = (0.2)(0.4)/(0.2)(0.4) + (0.8)(0.6)

= 0.08/(0.08 + 0.48) = 0.08/0.56 = 1/7

Answer:

a I believe sorry if I'm wrong

Answer:

I think its B: $56.26

Answer:

B. [tex]y = 3x^2 -6x -3[/tex]

Step-by-step explanation:

Well, we can use the following formula to find the x coordianate of the vertex  -b / 2a.

So let’s start with a)

-6 / 6

-1

A. is wrong because its vertex starts with -1.

b)

6 / 6

1

now that we have our x coordinate we can plug it into the equation to get our y.

3 - 6 - 3

So the y coordinate is -6.

Hence, the answer choice B. [tex]y = 3x^2 -6x -3[/tex]

look at the image below.

Answer: No solution

Step-by-step explanation:

This system of equation has no solution because...

-3x+4y=12

1/4x-1/3y=1

[tex]-3x+4y-4y=12-4y[/tex]

[tex]-3x=12-4y[/tex]

[tex]\frac{-3x}{-3}=\frac{12}{-3}-\frac{4y}{-3}[/tex]

[tex]\frac{12}{-3}-\frac{4y}{-3}[/tex]

[tex]x=-\frac{12-4y}{3}[/tex]

substitute

[tex]\frac{1}{4}\left(-\frac{12-4y}{3}\right)-\frac{1}{3}y=1[/tex]

[tex]-1=1[/tex]

-1=1 is false so therefore this system has no solution

Answer:

5/8

Step-by-step explanation:

apple trees to pear trees=5/2 to peach trees=(5/2)/4=5/8