At a pet shelter, there are 22 dogs, 40 cats, and 12 bunnies. What is the simplified ratio of bunnies to dogs?

9514 1404 393

Answer:

  a.  f(x) = (4x +5)(x -3)

  b.  x-intercepts: {-1.25, +3}

  c.  f(x) goes to +infinity as x goes to ±infinity

  d. plot the x-intercepts, the vertex, and a few other points; draw a smooth curve through them

Step-by-step explanation:

a. Here, you're looking for factors of (4)(-15) = -60 that have a sum of -7. Those factors will be -12 and +5, so we can factor the function as ...

  f(x) = (4x -12)(4x +5)/4

  f(x) = (x -3)(4x +5)

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b. The x-intercepts are the values of x that make the factors zero:

  x -3 = 0   ⇒   x = 3 . . . . (add 3)

  4x +5 = 0   ⇒   x = -5/4 . . . . (add -5, divide by 4)

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c. As with all even-degree polynomials with positive leading coefficients, the end behavior of f(x) matches that of |x|:

  as x → ∞, f(x) → ∞

  as x → -∞, f(x) → ∞

__

d. The vertex of the function will be located halfway between the x-intercepts, at x = (3-5/4)/2 = (7/4)/2 = 7/8. The value of f(x) there is ...

  f(7/8) = (4(7/8) +5)(7/8 -3) = -289/16 = -18.0625

Since the leading coefficient is 4, the normal x^2 function behavior is stretched vertically by a factor of 4. So, additional points would be

  x = 7/8 ±1, f(x) = -18.0625 +4·1 = -14.0625

  x = 7/8 ±2, f(x) = -18.0625 +4·2^2 = -2.0625

The answers of part B locate two points on the graph, and help find the vertex. The answer of part C confirms the graph as opening upward.

__

Additional comment

I find a graphing calculator to be very helpful finding the roots and making the graph.

Answer:

4b+8 is 12b I'm pre sure

dont know about the rest sorry

Answer:just hart me n I will help

Step-by-step explanation:

Answer:

i didnt get it

Step-by-step explanation:

can you explain

Answer:

1695.6 cubic feet

Step-by-step explanation:

Given that,

The corn fills 25% of the height of the silo.

The diameter of silo, d = 12 feet

Radius, r = 6 feet

Height, h = 60 feet

The volume of the part of the silo that is filled with corn is given by :

[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]

So, the required volume is equal to 1695.6 cubic feet.

3.10

Step-by-step explanation:

If you round 3.14 to the nearest tenth 4 is nearer to 10 than 20. Therefore, the answer is 3.10

the lasagna was in for 33 minutes

Answer:

-0.4

fraction form: -4/10 or -2/5

Answer:

145.9 cubic inches

Step-by-step explanation:

The volume of a triangular prism is:

1/2 x length x width x height

Use the formula with the given dimensions:

1/2 x 5.27 x 8.13 x 6.81 = 145.8875655

Round it up to the nearest tenths:

145.8875655 —> 145.9

I hope this helps!

Answer:

145.9 cubic inches

Step-by-step explanation:

Answer:

1

7

Is your answer dear .

Hope it helps you:)

Answer: 1/7

Step by step:

First divide the 1/49 to get 0.02040816326530612244897959183673 then take the square root of that number to get 0.14285714285714285714285714285714. Then plug in the numbers which after that your answer 0.14285714285714285714285714285714 or 1/7.

Hope this helps...

Have a great day.

Answer:

1) 13 Students were surveyed

2) 3 students

3) 7 Students

4) 10 Books

Pls mark brainliest

Answer:

13 students were surveyed

3 students read 5 fiction books

7 students read more than 5 fiction books

The maximum number was 10

Step-by-step explanation:

Hope this helps

-Unbrand-

Sadly even though I answered first I didn't get any credit. Quite sickening.

Answer:

C is true.

Step-by-step explanation:

If you look at the model, the middle line in the box means the median and it is 7 so yeah! Hope this helped! Good Luck! :)

Answer:

I say the correct answer is "b" the minimum quiz score is 5.

Step-by-step explanation:

The correct answer I am choosing "b".

Answer:

the circumference is C = 34π units.

Step-by-step explanation:

The circumference of a circle of diameter d is C = πd.

Here the diameter is 34 units.  Thus, the circumference is C = 34π units.

Answer:

×=50,×+09+673-23

×=(33)+(2×)

Answer:

1.3

Step-by-step explanation:

tan(x) =16/12

=4/3

=1.33

=1.3

x=tan-1(1.3)

=52.4

Answer:

Option C, -6

Hope this helps!

Answer:

56.25°

Step-by-step explanation:

cos x° = b/h = 15/27 = 5/9

x° = cos^(-1) (5/9) = 56.25°

Answer:  327.60 dollars

Explanation:

There are about 52 weeks in a year (note that 365/7 = 52.14)

So that means it costs a total of 52*6.30 = 327.60 dollars to run the fridge for a full year.

Answer:

It costs $328.50 to run the refrigerator for 365 days

Step-by-step explanation:

Recall that there are seven days in a week and 52 weeks in a year

The given rate is

$6.30

-----------

7 days

To find the cost of running the refrigerator for 365 days, multiply this given rate by 365 days:

$6.30

----------- * 365 days = $328.50

7 days

It costs $328.50 to run the refrigerator for 365 days (1 year, 52 weeks).

Answer:

D.3.5

Step-by-step explanation:

4x+2y=10(given)

2x+y=5

y=5-2x-----(1)

y=2x-1------(2)(given)

Since the left side of the equations are the the same,

5-2x=2x-1

4x=6

x=1.5

Sub x=1.5 into eq(1),

y = 5-2(1.5) = 5-3 = 2

so, x+y = 1.5+2 = 3.5

Answer:

4x+2y=10

y=2x-1

4x+2(2x-1)=10

4x+4x-2=10

8x=10+2

8x=12

8x÷8=10÷8

x=1,25

&

y=2x-1

=2(1.25)-1

=1.5

x+y=1.25+1.5

=2,75

Answer:

The solution to the inequality would be n < -3 or n > -2 . Isolate the variable be diving each side by the factors that don’t contain the variable.

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

same logic as in 2D problems. if C wasn't true, then the two planes couldn't be parallel

Answer:

x = 23

Step-by-step explanation:

Sum of 25 and x = 48

25 + x = 48

Subtract 25 from both sides

25 - 25 cancels out

48 - 25 = 23

We would be left with x = 23

Answer:

[tex]x =23[/tex]

Step-by-step explanation:

Sum of 25 and x

[tex]25 + x[/tex]

Sum of 25 and x is 48

[tex]25 + x = 48[/tex]

Now lets simply Solve the equation

[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]

Hope this helps you.

Have a nice day!

by solving the first equation you'll get x= -24/13

if you solve the second option (B) then you'll the same result i.e x=-24/13

so option C is correct

Answer:

500

Step-by-step explanation:

Answer:

300 square inches

Step-by-step explanation:

Area of a Trapezoid = 1/2 (b1 + b2 ) × h

h = height 20 inches

b1 = First base = ?

b2 = Second base = ?

From the Question

b1 + b2 = 30 Inches

Hence,

Area of the Trapezoid = 1/2 (30) × 20

= 1/2 × 30 inches × 20 inches

= 300 square inches

The Area of the Trapezoid = 300 Square inches

Answer:4

Step-by-step explanation:

The Mean Absolute Deviation is 4 from the data given

Answer:

11.577 = r

Step-by-step explanation:

Comment

When you draw a sketch of this, <R is between p and q - - both of which are lines. The Cos law is the one you use.

Equation

r^2 = p^2 + q^2 - 2pq * Cos(R)

Givens

p = 21

q = 21

R = 32

r = ?

Solution

r^2 = 21^2 + 21^1 - 2*21*21 * Cos(32)     Substitute givens into the equation

r^2 = 441 +441 - 882 * 0.8480               Add the first two terms.

r^2 = 882 - 747.98                                 Multiply Cos(32)  by 2 * 21 * 21

r^2 = 134.02                                            Subtract 747.98 from 882

sqrt(r^2) = sqrt(134.02)                           Take the square root of both sides.

r = 11.577