Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.

Answer:

$13 - senior

$6 - child

Step-by-step explanation:

set up a system of equations:

s = senior tickets price

c = child tickets price

4s + 2c = 64; you can simplify this by dividing through by 2 to get:

2s + c = 32

12s + 8c = 204; you can simplify this by dividing through by 4 to get:

3s + 2c = 51

we can say that 'c' = 32-2s' and substitute that for 'c' in the second equation:

3s + 2(32-2s) = 51

3s + 64 - 4s = 51

-s = -13

s = 13

now find 'c' by substituting 13 for 's':

2(13) + c = 32

26 + c = 32

c = 6

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is y=5x+3

Hope this helps! :)

Answer:

A; C.

Step-by-step explanation:

B. not correct: the graph can have no interception; one interception or two interception;

D. not correct: the graph can have no interception; one interception or two interception.

Step-by-step explanation:

everything can be found in the picture

Answer:

Step-by-step explanation:

Which two equations represent the system for this word problem?

Equation 1:

✔ x + y = 10

Equation 2:

✔ y = 4x

9 on the top as well so 9 x 2 18 3x2 6 3

Answer:

36 9/16 inches

Step-by-step explanation:

Given that the piece is 45 1/2 inch long and 8 7/8 is cut from it, the remaining length should be the difference between the original length and the length cut from it

= 45 1/2 - 8 7/8

simplify

= 44 - 8  (8 + 4 - 7)/8

= 36 5/8

Given that 1/16 inch is wasted in the process, the remaining length would be

= 36 5/8 - 1/16

= 36 10 - 1/16

= 36 9/16 inches

Answer:

x ≈ 11.23

Step-by-step explanation:

Given

tan24° = [tex]\frac{5}{x}[/tex] ( multiply both sides by x )

x × tan24° = 5 ( divide both sides by tan24° )

x = [tex]\frac{5}{tan24}[/tex] ≈ 11.23 ( to 2 dec. places )

Answer:

B. x² + 4x - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x) = f(x) + g(x)

Step 2: Find

Answer:

B  

Step-by-step explanation:  6  18  11  18

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

f(x)=     4x+1

g(x)=x^2 -5      just add these two equations

(f+g)(x)  =  x² + 4x +1 - 5

(f+g)(x)  =  x² + 4x - 4     B

Answer:

sir, this is a english app, search a spanish app

señor, esta es una aplicacion en ingles, busque una en español

Step-by-step explanation:

Brainly.lat

Answer:

60 Degree,30 degree

Step-by-step explanation:

BD is bisector of ∠ABC

=> ∠ABD = ∠DBC

=> 3x = x + 20

=> 3x - x = 20

=> 2x = 20

=> x = 20/2  

=> x = 10

Now,

∠ABD = ∠DBC = x + 20 = 10 + 20 = 30 Degree

∠ABC = ∠ABD+∠DBC = 30+30 = 60 Degree

Answer:

i

Step-by-step explanation:

Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.

Also, a negative number times another negative number, is a positive number. -2 * -2 = 4

With both of those true, then what number could be multiplied by itself to equal a negative number? i.

i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].

Hope that this helps!

Answer:

D=KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH

Step-by-step explanation:

Got a 100% on test! EDGE 2021

The possible outcomes for the given event are KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH.

A permutation is a mathematical technique that is used to calculate total possible outcomes for arrangement provided that the order of selection of items is not fixed.

Given that, Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert

The formula to determine permutation is:

ⁿPₓ = n!/(n-x)!

Where n is the total number of objects and r is the number of objects selected.

For the given question, n will be 3 since K boards the bus first and hence his position is fixed.

Therefore, H, I, and J can switch positions.

³P₂ = 3!/(3-2)!

³P₂ = 6

Therefore, the correct option is D.

Learn more about permutation here:

brainly.com/question/14767366

#SPJ7

Answer:

1

Step-by-step explanation:

1/2×2 = 2/2 = 1

_____________________

Answer:

Suppose Galileo should walk x meters on 15 degree inclined plane, and then he will get the 150 meter altitude and he could perform his experiments with the balls

Answer:

Option B

Step-by-step explanation:

Look.......Polynomial is something which has more than 3 term..So, as you can see option B has more than three.

Answer:

a.y=-x½+5

Step-by-step explanation:

from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½

Answer:

1. = x^2 -5x+6

Step-by-step explanation:

2. = 2x^2 +5x+3

3. =2x^2 +(x-1) +((x)/x^2 -x+6)

Answer:

-4350

Step-by-step explanation:

-((58)x(75))=

-(4350) =

-4350

Answer:

Step-by-step explanation:

That exterior angle of 111 is equal to the sum of the triangle's remote interior angles. We add the 37 + 35 to get a total angle measure of 72. That means that the base angle on the right is 111 - 72 = 39. That 39 degree angle is vertical to x; that means that x = 39 as well.

Answer:

39deg

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

multiple across

5 * 6 = 30

2x+1 * x = 2x^2 + x

Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

Answer:

Domain: (-∞, ∞)

Range: [0, ∞)

Step-by-step explanation:

The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)

The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)

Answer:

Step-by-step explanation:

1) ∠WVZ and ∠VWX are right angles & VX = = WZ      Given

2) WV = VW                                                                      Reflexive property

3) ΔWVZ ≅ ΔVWX                                                           HL

4) ∠Z = ∠X                                                                       CPCT

CPCT --> Corresponding parts of congruent triangle.

Answer:

20 % increase in Area

Step-by-step explanation:

1.  Original Rectangle Area = 150cm ²

2. 20% of 15 is 3

3. Increased length is equal to 18

4. Increased Rectangle Area = 180cm ²

5. Ten percent of 150 = 15.

6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.

7. 2 ten percent equals 20%

8. Answer is 20%.

Answer: 86°

Step-by-step explanation:

You add 28°+58° to get 86

a scalene triangle always equals (adds up to) 180°

So you minus 86° from 180 to get 94° for angle EGF

Then since line EGT is 180° the ? has to add together with 94° to find your answer

94°+?=180°

180°-94°= 86°

QUESTIONS:- For which equation would x = 0 be a solution?

ANSWER:- (7)x = 0

as 7x= 0

x=0 ANSWER