The entry for a science exhibition is $5 for students and four dollars more than the students for adults. On a particular day, 600 people visited the exhibition and $3500 was collected. How many students and adults visited on that day?

Answer:

k(x) = -2|x - (-3)| + 4

Step-by-step explanation:

Parent function for the graph is,

f(x) = |x|

If the parent function is vertically stretched by a scale factor of 2,

New function will be,

g(x) = 2|x|

If the function 'g' is reflected across x-axis,

h(x) = -2|x|

If the function 'h' is translated 3 units left and 4 units upwards, new function will be,

k(x) = -2|x - (-3)| + 4

Answer:

Option (2)

Step-by-step explanation:

From the table attached.

First column is representing the x-values (input values) and second column is representing the value of the function (output values).

For x = -6,

f(x) = 8

For x = 7,

f(x) = 3

For x = 4,

f(x) = -5

For x = 3,

f(x) = -2

For x = -5,

f(x) = 12

Therefore, f(x) = -2 is one of the output values.

Option (2) will be the correct option.

The value that is an output of the function among the options is -2.

A function relates an input to an output.

A function relates each element of a set with exactly one element of another set.

Therefore, the output are the dependent variable. They are also called range.

Generally, they are regarded as range, output or dependent variables.

Therefore, the output of the table is f(x) values which includes the following:

Hence, the output of the function in the option is -2.

learn more on functions here: https://brainly.com/question/26608835

Hello,

In prime decomposition:

180=2²*3²*5

140=2²*5*7

lcm(180,140)=2²*3²*5*7=1260

Proof: 1260/180=7 and 1260/140=9

Answer:

-3.855

Step-by-step explanation:

Not sure if you need the weight of each screw! but you just subtract 80.955-84.81

Answer:

1

Step-by-step explanation:

itnisbbsndnfnfnfnnfnfnfncjcjccjcj

Answer:

1/10, 0.9, 3/10

Step-by-step explanation:

#carryonlearning

Answer:

60

Step-by-step explanation:

Subsitute the number if large vehicles

5x + 10(50) = 800

5x + 500 = 800

5x =300

X =60

Answer:

60

Step-by-step explanation:

Substitute y = 50 into the equation and solve for x

5x + 10(50) = 800 , that is

5x + 500 = 800 ( subtract 500 from both sides )

5x = 300 ( divide both sides by 5 )

x = 60

That is 60 small vehicles were washed in total

Answer:

8 days

Step-by-step explanation:

Answer:

4 days

Step-by-step explanation:

[tex]120 - 8x = 60 + 7x[/tex]

x=4

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

[tex]y = x^2 - 8 x + 12[/tex]

To get the x intersept put y = 0

[tex]x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6[/tex]

So, the intersepts are

(2, 0) and (6, 0)

Answer:

it's a trinomial

Answer:

x ≈ 15.66

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin50° = 12 ( divide both sides by sin50° )

x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )

Answer:

f(x) = (x + 4)^2 - 5

Step-by-step explanation:

Parent function: f(x) = x^2

To show this in a way that may look more familiar, f(x) = 1(x - 0)^2 + 0

Vertex form: f(x) = a(x - h)^2 + k

We know a = 1, because the slope is the same as the parent function.

Vertex: (h,k)

We can see that the vertex of the graph is (-4, -5)

So h = -4 and k = -5

Now all we need to do is plug the variables into our equation.

f(x) = a(x - h)^2 + k

f(x) = 1(x + 4)^2 - 5

f(x) = (x + 4)^2 - 5

Answer:

Emily will earn $33,020 in one year.

Step-by-step explanation:

635×52=33,020

Answer:

ummmm maybe u just forgot to add the picture

The closer to 1 the r value the closer the dots make a straighter line.

A positive value the distance move up to the right, a negative value the dots move down to the right.

A = r = -0.33

B = r = -0.75

C = r = 0.72

D = r = 0.89

Answer:

B

Step-by-step explanation:

plss pa brainliest me thanks

Answer:

endo 2 17uni

Step-by-step explanation:

Answer:

21-3=18

Hope This Helps!!!

Answer:

18

Step-by-step explanation:

7(3)= 21

15/5=3

21-3=18

Answer:

25 units

Step-by-step explanation:

TR = TQ

2x + 10 = 18

2x = 8

x = 4

RS = QS

RS = 9x - 11

RS = 9(4) - 11

RS = 25

i belive the answer is c

Answer:

(i) - rectangular prism

(Ii) - triangular prism

(iii) - square pyramid

Step-by-step explanation:

Answer:

C.  y axis

Step-by-step explanation:

y axis is the answer

Answer:

-9

Step-by-step explanation:

{-2*-1^-2/-2-1*-1-3}3

= -9

Answered by GAUTHMATH

Answer:

p = 2/3

q = 1/2

Step-by-step explanation:

The given equation is ,

[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]

We can write it as ,

[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]

Rearrange the terms ,

[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]

This can be written as ,

[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]

Now wrt Standard form of a quadratic equation ,

[tex]\bf \implies ax^2+bx + c = 0 [/tex]

we have ,

We know that product of zeroes :-

[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]

Sum of roots :-

[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]

(1) False. [tex]\{0\}\in\mathscr{U}[/tex] is saying "the set containing only 0 (that is, {0}) is an element of [tex]\mathscr U[/tex]", but this is not the case. [tex]\mathscr U[/tex] is the set containing only 0 and 1.

(2) True. [tex]\{0\}\subset\mathscr{U}[/tex] means "the set {0} is a subset of [tex]\mathscr{U}[/tex]". 0 itself is an element of [tex]\mathscr U[/tex], so {0} is indeed a subset of [tex]\mathscr U[/tex].

(3) True. 0 is clearly an element of [tex]\mathscr U[/tex].

(4) False. This statement says "0 is a subset of [tex]\mathscr U[/tex]" but 0 itself is not a set, it's a number.

Answer:

You would pour 50.3 in^3 of juice

Step-by-step explanation:

The term ‘cubic’ indicates volume

so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2

Mathematically, we have the volume of the cylinder as;

V = pi * r^2 * h

r = 2 inch

h = 8 inch

Since we are dividing the volume by 2 (exactly half full)

V = 1/2 * pi * 2^2 * 8

V = 50.3 in^3

y=70+18(x)

y=70+18(12)

y=70+216

y=286

Step-by-step explanation:

since Tanya bakes 12 more cookies,

x=12

y= 70 + 18(12)

y=70 + 216

y= 286

therefore, she bakes 286 cookies with twelve more batches

Answer:

19

Step-by-step explanation:

Answer:

1/6 of the bread

Step-by-step explanation:

Given data

Let the amount of the loaf of bread be 1

But they are expected to share half

hence the amount to be shared is= 1/2 bread

The number of children is 3

Hence

=1/2/3

=1/2*1/3

=1/6 bread

Hence each child will get 1/6 of the bread