A zookeeper is monitoring the population of birds. The flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. Let x represent the number of male birds and y represent the number of female birds. Write the constraints to represent a thriving population of birds at the zoo. X > 0 and y > 0 0 < x ≤ 20 and y > 60 x > 0 and y < 20 0 < x ≤ 20 and 0 < y ≤ 60.

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]

Now, you can swap the variables again and write the function.

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Answer:

= -5

Step-by-step explanation:

1-6=5

1-6

{Subtract the numbers:} 1-6=-5

= -5

Answer:

true

Step-by-step explanation:

make this is helpful for you

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Explanation:

Solve the inequality for x.

5x + 4 < 29

5x < 29-4

5x < 25

x < 25/5

x < 5

I subtracted 4 from both sides (step 2). Then I divided both sides by 5 to fully isolate x (step 4). The inequality sign stays the same the entire time.

Since x < 5, this means the original set {3,4,5,6} becomes {3,4} since these values make x < 5 a true statement. In other words, we erase 5 and 6 because something like 6 < 5 is false.

That's why {3, 4} is the final answer.

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

An alternative method is to go through the set {3,4,5,6} and plug those items one by one into the original inequality. If you get a true result, then it's part of the answer.

Let's try x = 3

5x + 4 < 29

5(3) + 4 < 29

15+4 < 29

19 < 29

We get a true statement at the end, so x = 3 is part of the solution set. A similar story happens for x = 4 as well.

If we tried x = 5, then,

5x + 4 < 29

5(5) + 4 < 29

25 + 4 < 29

29 < 29

which is false. No number is bigger than itself (or smaller than itself). Therefore, x = 5 is crossed out of the original set. You should get a false statement for x = 6, which means we'll kick this value out as well.

Based on the markdowns and the number of each of the plants purchased, the amount saved is $9.06

Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:

Discounted cost = Original cost x (1 - Discount)

6.57 = Original x (1 - 27%)

Original = 6.57 / 0.73

Original = $9.00

The savings here are therefore:

= 2 x (9 - 6.57)

= $4.86

The original cost of the Tomato seedlings is:

= 2.60 / ( 1 - 35%)

= $4.00

Savings would be:

= 3 x (4 - 2.60)

= $4.20

Total savings are therefore:

= 4.86 + 4.20

= $9.06

In conclusion, $9.06 was saved.

Find out more on this at https://brainly.com/question/25748983.

Answer: they would earn $560

Step-by-step explanation:

10% = 400

1% = 40

0.1% = 4

40+16 = 56*10=560

If you could be so kind to press brainliest on this answer

Answer:

OK so a triangle has 3 sides and the perimeter around it is 20.6 cm to find the unknown for the length of a side it would be 20.6 ÷3 which is = to 6.86 to 2 decimal places

Step-by-step explanation:

20.6÷3

= 6.86 cm to 2 dp

Answer:

U should

No u must keep swearing on them lolllll

Step-by-step explanation:

Omg seems kokuladina freeze on fire with swear words.

(i)Given number = 8000

=8 × 1000

= 8×10³

The standard form of 8000 is 8×10³

(ii)Given number = 0.00000000094

⇛ 94/100000000000

⇛ 94/10¹¹

On multiplying and dividing with 10 then

⇛ (94/10¹¹)×(10/10)

⇛ (94/10)×(10/10¹¹)

⇛ 9.4 × (1/10¹⁰)

⇛ 9.4/10¹⁰

⇛ 9.4×10^-10

The standard form of 0.00000000094 = 9.4×10^-10

(iii) Given number = 467.5

⇛ 4675/10

On multiplying and dividing with 1000 then

⇛ (4675/10)×(1000/1000)

⇛ (4675/1000)×(1000/10)

⇛ 4.675 × 100

⇛ 4.675×10²

The standard form of 467.5 = 4.675×10²

(iv) Given number = 50200000000000

⇛ 502×100000000000

On multiplying and dividing with 100 then

⇛ (502/100)×100000000000×100

⇛ 5.02 ×10000000000000

⇛5.02 × 10¹³

The standard form of 50200000000000 is

5.02 × 10¹³

(v)Given number = 0.00000005837

⇛ 5837/100000000000

On multiplying and dividing with 1000 then

⇛ (5837/1000)×(1000/100000000000)

⇛ 5.837/100000000

⇛ 5.837/10⁸

⇛ 5.837×10^-8

The standard form of 0.00000005837 is 5.837×10^-8

(vi) Given number = 71860000000

⇛7186×10000000

On multiplying and dividing with 1000 then

⇛ (7186/1000)×10000000×1000

⇛ 7.186×10000000000

⇛ 7.186×10¹⁰

The standard form of 71860000000 is 7.186×10¹⁰

−5(|x−3|)−5<15

Step 1: Add 5 to both sides.

−5(|x−3|)−5+5<15+5

−5(|x−3|)<20

Step 2: Divide both sides by -5.

−5(|x−3|)

−5

<

20

−5

|x−3|>−4

Step 3: Solve Absolute Value.

|x−3|>−4

We know eitherx−3>−4orx−3<−(−4)

x−3>−4(Possibility 1)

x−3+3>−4+3(Add 3 to both sides)

x>−1

x−3<−(−4)(Possibility 2)

x−3<4(Simplify both sides of the inequality)

x−3+3<4+3(Add 3 to both sides)

x<7

Answer:

x>−1 or x<7

Answer:

Step-by-step explanation:

-2+39x

Hello!

2nd equivalent fraction to is 5/7 is 10/14.

Other equivalent fractions are 15/21, 20/28, 50,70...

I hope this helps,

Have a great day!

Answer: 12

Step-by-step explanation:

8/2=4

4x1=4

8+4=12

Answer:

12

Step-by-step explanation:

following the 2:1 ratio, or 2 kids meals for every adult meals sold, so if 8 kids meals are sold, 4 adult meals must have been sold.

8/2 = 4

Answer:

Step-by-step explanation:

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

Answer:

A = 15u²

Step-by-step explanation:

Area of a Trapezoid Formula:

[tex]\frac{h}{2}*(b_1+b_2)[/tex]

Plug in our values (h = 3, b1 =  7, b2 = 3)

[tex]\frac{3}{2}*(7+3)[/tex]

Now we evaluate

[tex]\frac{3}{2}*(10)[/tex]

[tex]\frac{30}{2} = 15[/tex]

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

Answer:

B

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

Answer:

Y = 2

Step-by-step explanation:

if you were looking for y's value

Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

[tex]Scale = 5\ inches : 8\ feet[/tex]

Represent the width of the actual gym with w, so, we have the following equivalent ratio

[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]

Cancel out the common units

[tex]45: w = 5: 8\ feet[/tex]

Express as fraction

[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]

Cross multiply

[tex]5w = 45 \times 8\ feet[/tex]

Divide both sides by 5

[tex]w = 9\times 8\ feet[/tex]

[tex]w = 72\ feet[/tex]

Hence, the width of the actual gym is 72 feet

Read more about scale drawing at:

https://brainly.com/question/14934768

Answer:

  112

Step-by-step explanation:

It appears that the relation is f(a, b) = a(a+b).

  f(3, 4) = 3(3+4) = 21

  f(2, 5) = 2(2+5) = 14

  f(7, 7) = 7(7+7) = 98

  f(8, 6) = 8(8+6) = 112

__

The symbol "+" has apparently been repurposed from its usual meaning in math. It is being used as an infix operator with two arguments. We have shown the relation above as a function f with two arguments (a, b). In our definition ...

  f(a, b) = a(a+b)

the symbol "+" has its usual meaning.

_____

Additional comment

This sort of question requires a little bit of "out of the box" thinking. It helps immensely if you're familiar with your addition and multiplication facts. Then you are in a position to recognize how the outputs may be related to the inputs.

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd

The answer is 4 mph I think-

Answer:

1076

Step-by-step explanation:

Is the answer for the last one is 298?

Answer:

Hope this helps

Step-by-step explanation:

a) x^2 + 3x = x(x+3)

b) 2x^2 - 8x = 2x(x - 4)

c) 6x + 9x^3 = 3x(2 + 3x^2)

d) 12x^3 - 4x^2 = 4x^2(3x - 1)

Answer:

-2x + 8

Step-by-step explanation:

32x + 8 - 34x

(32 - 34)x + 8

-2x + 8

-2x + 8

=> 32x + 8 - 34x

=> (32 - 34)x + 8

=> -2x + 8

Answer:

3/2

Step-by-step explanation:

Answer:

Sine, in a right triangle, is the side opposite to the angle divided by the hypotenuse.

Law of sines (on any triangle) is

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

where A, B, and C are angles and a, b, and c are side lengths opposite to the angles.

Answer:

sine rule states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.

Step-by-step explanation:

In a triangle with sides a,b,c:

a/sin A = b/sin B = c/sin C