Choose the system for the graph.
(2x + 3y = 12
a)
13x - 5y < 15
(2x + 3y = 12
b)
13x - 5y = 15
(2x + 3y = 12
C
(3x - 5y > 15
(2x + 3y > 12
d)
(3x - 5y = 15
1

9514 1404 393

Answer:

  (a) g^-1(x) = ±√(x -1)

  (b) 0

  (c) 17

Step-by-step explanation:

(a) The inverse is found by solving for y:

  x = g(y)

  x = y² +1

  x -1 = y² . . . . . . subtract 1

  y = ±√(x-1) . . . . take the square root

  g^-1(x) = ±√(x -1) . . . . in functional form

Note: the inverse of g(x) is not a function, because it is double-valued.

__

(b) f(h(-2)) = f(-2+1) = f(-1) = f(-1+1)

  f(h(-2)) = 0

__

(c) g(f(3)) = g(3+1) = g(4) = 4² +1

  g(f(3)) = 17

Answer:The remaining area to cover is

.9 * (25m * 40m)

Step-by-step explanation:

Step-by-step explanation:

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

-1/2 = (r - 2)/(3 - (-3))

-1/2 = (r - 2)/6

-1/2(6) = r - 2

-3 = r - 2

-3 + 2 = r

hence r = -1.

Answer:

2

Step-by-step explanation:

Answer:

60 km/h

Step-by-step explanation:

Your welcome :)

Answer:

✅The relation is a function

✅The graph of the function is linear

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex]

Step-by-step explanation:

✅The relation is a function because each domain (number of squares) has exactly one range (perimeter).

✅The graph of the function is linear because the difference between any two successive y-values gives us the same value of 4.

That is: 12 - 8 = 16 - 12 = 20 - 16 = 4.

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex], because if we substitute any pair of values (x, y) into the equation, the equation would be true.

For example, using the pair (1, 8), substitute x = 1, and y = 8 in [tex] y = 4x + 4 [/tex].

Thus:

[tex] 8 = 4(1) + 4 [/tex]

[tex] 8 = 8 [/tex] (True).

Answer:

it's B let me know if I'm wrong

Answer:

4

Step-by-step explanation:

The first triangle has the ratios 10:6:8. The next one has the ratios 5:3:x. If you have paid close attention, you can divide the first one by 2 to get the second one. 8/2 is 4 so the correct answer is 4.

Hope this helps plz mark brainliest if correct :D

Answer:

Look for the bolded words ;'D

Step-by-step explanation:

The proportion setup would be 1/100=x/1063, since youre missing the inches from the actual model. By cross multiplying the equation to get 100x=1063, you'll now need to divide both sides of the equation by 100. This will get you 1063/100 inches, or you can get 10.63 inches by dividing 1063 by 100. You can also get 10 9/25 inches if you simplify the improper fraction...

....lol sorry for taking so long, but have a good day! :'D

Answer:

Player A, Player D, Player C, Player B

Step-by-step explanation:

Hope I'm Right :)

Answer:

PLayer B player D player C and Player A

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Hope this helped

Answer:

10

Step-by-step explanation:

Answer:

hope this helps, happy learning!!!

Answer:

y=1

Step-by-step explanation:

Answer:

15students per 1 teacher

9 student per 1 tutor.

8 tutors for 72 students

Step-by-step explanation:

From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students

✓ 4 teachers for every 60 students

4teacher =60students

Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.

✓3 tutors for every 27 students,

3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.

How many students does the academy have

per​ teacher?

15students per 1 teacher

Per​ tutor?

9 student per 1 tutor.

How many tutors does the academy need if it has 72 students​?

Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,

9 student = 1 tutor.

72 students​= X tutor

If we cross multiply we have

72=9X

X=8 tutors

Therefore, we need 8 tutors for 72 students​

Answer: Prime factors of 110 are 2, 5, 11. Prime factorization of 110 in exponential form is:

110 = 21 × 51 × 111

Prime factors of 220 are 2, 5. Prime factorization of 220 in exponential form is:

220 / 20 gives you 11

Answer:

260

Step-by-step explanation:

The formula is base times height

Answer:

260

Step-by-step explanation:

Base times height so 20 times 13 and it equals 260 hope i helped

Answer:

42 Joules

Step-by-step explanation:

Edge 2020

Work done by the force is 42 units which is correct option(C)

The work done by a force in moving along a vector that is the product of their.

Let the the object move from P(2,-4) to Q(10,1)

Here, the position vectors

[tex]\vec{p}[/tex]  = [tex]2\vec {i}+(-4)\vec {j}[/tex], [tex]\vec{q}[/tex] =  [tex]10\vec i+\vec{j}[/tex]

Hence [tex]\vec{PQ}[/tex] =  [tex]\vec{q}[/tex] -[tex]\vec{p}[/tex] =   [tex]10\vec i+\vec{j}[/tex] -  [tex]2\vec {i}+(-4)\vec {j}[/tex],

  [tex]\vec{PQ}[/tex] =    [tex]8\vec i+5\vec{j}[/tex]

Force acts in a direction (4,2)

So [tex]\vec{F}[/tex] =    [tex]4\vec i+2\vec{j}[/tex]

∴ Work done =   [tex]\vec{F}.\vec{PQ}[/tex]  =   [tex](4\vec i+2\vec{j})[/tex] [tex].(8\vec i+5\vec{j})[/tex]

Work done = 32+10 =42 units

Hence work done by the force is 42 units

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Answer:

Mr. Ali worked for 55 hours.

Step-by-step explanation:

Basic working hours = 40 hours

Total gross wages = $490.15

Overtime wages = $156.75

Total wages as per basic week = Total Gross wages - Overtime wages

Total wages as per basic week = $490.15 - $156.75 = $334.4

Let wages for basic hours = [tex]\$x[/tex]

[tex]40\times x = \$334.4\\\Rightarrow x = \bold{\$8.36}[/tex]

Let the number of overtime hours = [tex]y[/tex] hours.

Given that the wages for overtime are paid for at time-and-a-quarter.

As per question statement:

[tex]y\times 8.36\times \dfrac{5}{4} = $156.75\\\Rightarrow y = \bold{15\ hours}[/tex]

Total number of hours worked by Mr. Ali = 40 + 15 = 55 hours

Answer:

2.5

Step-by-step explanation:

Its too simple to explain soz

Answer:

2.5 :)

Step-by-step explanation:

Answer:

my biggest tip would be use a percentage calculator

Answer:

228

Step-by-step explanation:

Answer:

Car A can travel 25 miles with 1 gallon of gas and car B can travel 20 miles with 1 gallon of gas

Step-by-step explanation:

Based on the graph, you know that car A can travel 50 miles with 2 gallons of gas.  To find how many miles it can travel with 1 gallon of gas, you need to divide the number of miles by the number of gallons of gas it uses to get the answer.  So you do 50/2=25.  That is how many miles it can travel with 1 gallon of gas.  Do the same thing with car B. 60/3=20.  So car B can travel 20 miles with 1 gallon of gas.  You know that car A can travel more because car A can travel 25 miles with 1 gallon of gas while car B can only travel 20 miles with 1 gallon of gas.  Car A can travel 5 more miles than car B with 1 gallon of gas.

Hope this helps. :-)  Please give brainliest

Answer:

ayyyy

Step-by-step explanation:

Answer:

3/4 divided by 1/6 = 4.5

Step-by-step explanation:

Answer:

Pierre is right

Step-by-step explanation:

The correct formula for Exponential growth rate is given as:

y = a( 1 + r) ^t

Where

y = Amount after time t

a = Initial amount

r = Growth rate

t = time

From the question

a = 300

r = 2% = 0.02

Hence, our exponential growth rate =

y = 300( 1 + 0.02)^t

y = 300( 1.02)^t

Therefore, Pierre is right

Answer:

x=-5

Step-by-step explanation:

2x+10=0

2x=-10

x=-5

Answer:

i'm gonna say that its    negitive 6 number one

Step-by-step explanation:

The value of g(f(2)) is 31 which correct option(D).

The function is defined as mathematics expression defines a relationship between one variable and another variable.

f(x) = 4x³-10

g(x) = 3x-4/2

Substitute value of f(x) in g(x),

[tex]g(f(x)) = \dfrac{3(4x^3-10) - 4}{2}\\g(f(x)) = \dfrac{12x^3-30 - 4}{2}\\g(f(x)) = \dfrac{12x^3-34}{2}[/tex]

g(f(x)) = 6x³-17

Substitute x = 2,

g(f(2)) =  6(2)³-17

g(f(2)) = 6(8)-17

g(f(2)) = 31

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