Raymond has 3 pounds of birdseed. He has 5 bird feeders in his yard. How much seeds can he put in each feeder?

Method used:-

Completing the square method.

Steps :-

[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]

Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.

[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]

Simplify the equation. You'll get a +ve & -ve value.

[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]

Simplify it further.

[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]

The solutions are :-

x = 0 & x = -1

______

Hope it helps ⚜

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

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

Answer:

65.4 degrees

Step-by-step explanation:

cos(x) = 5/12

x = arccos(5/12), which is approximately  65.3756816 (on calculator). to the nearest tenth that is 65.4

Answer: NO GAIN for the shopkeeper

Step-by-step explanation:

20/100 *5000=1000

Answer:

x-intercepts(-7,0)

y-intercepts(0,-2)

Step-by-step explanation:

Step-by-step explanation:

The x-intercept is (-7,0)

The y-intercept is (0,2)

Answer:

9/10 < 7/5

Step-by-step explanation:

7/5 = 14/10

9/10 < 14/10

Answer:

7/5 is greater than 9/10

Step-by-step explanation:

7/5 = 14/10

Answer: D hope this helps

Answer: I think its C

Step-by-step explanation:

Complementary angles have a submission of 90 degrees thus :

[tex]angle \: \: A + angle \: \: B = 90°[/tex]

[tex](4x - 28)° + (4x - 8)° = 90°[/tex]

[tex]4x + 4x - 28 - 8 = 90[/tex]

Collect like terms

[tex]8x - 36 = 90[/tex]

Add both sides 36

[tex]8x - 36 + 36 = 90 + 36[/tex]

[tex]8x = 126[/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]

[tex]x = 15.75[/tex]

_____________________________________________

Now let's find the measure of A :

[tex]A = 4x - 28[/tex]

[tex]A = 4 \times (15.75) - 28[/tex]

[tex]A = 63 - 28[/tex]

[tex]A = 35°[/tex]

And we're done...

Don't have a good day , Have a great day ♡

Answer:

first one

Step-by-step explanation:

Answer:

(1,-1)

Step-by-step explanation:

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

Using the range concept, it is found that the greatest element in the range of this relation is 9.

Hence, the range is: {0, 5, 8, 9}.

For more on range of data-sets, you can check https://brainly.com/question/10891721

Answer:

the star is quadrant 2

Step-by-step explanation:

Answer:

The purple star

Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4

Answer: Bro. Thats not telling us anything

Step-by-step explanation:

The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

The corresponding angles in the image given are: ∠2 and ∠3.

Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.

In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

Learn more about corresponding angles on:

https://brainly.com/question/2009183

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

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if you want a third point, just ask!

-

Hope this helps.

-

<3

Answer: b because i did the eqaution on paper

Step-by-step explanation:

Answer:

M equals 9.3

Step-by-step explanation:

To get m alone add 4.2 to each side

Answer:

B

Step-by-step explanation:

Each number you're adding 12.

24 + 12 = 36, 36 + 12 = 48,. etc..

B

A shows factors of 12 instead of multiples, and C just doesn’t show numbers of relation to 12

Answer:

what kind kind of prob

Step-by-step explanation:

dp you have a Story

Answer:

there is no picture to explain your qustion and im confused

Step-by-step explanation:

Answer:

(25 months 109 weeks)+(765 days)=6.26685869years.May this help you

Answer:

15

Step-by-step explanation:

Answer:

I don't know what you want to know so I assume you want to find out his miles in minutes:

Divide 40 with 60

Which is 2/3

So Max rode 2/3 miles in a minute

Step-by-step explanation:

Answer:

4 hours if going ten mph and 2 hours if going 20 mph

The income tax rate must be 29%.

Given that,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

If the Thai government wants to raise $70 billion in tax revenue,

We have to find,

The approximately where should it set the income tax rate?

According to the question,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

[tex]\rm Total \ income = Number \ of \ people \times Income \ per \ person\\\\Total \ income = 35,709,487 \times 8,630\\\\Total \ income = 308,172,872,810[/tex]

If the Thai government wants to raise $70 billion in tax revenue,

Then,

The income tax rate is,

[tex]\rm Tax\ rate = \dfrac{70,000,000,000,}{308,172,872,810}\\\\Tax \ rate = 0.29\\\\Tax \ rate = 29 \ percent[/tex]

Hence, The income tax rate must be 29%.

For more details refer to the link given below.

https://brainly.com/question/16016455

Answer:

c

Step-by-step explanation:

Trust me, I got 100%

i do not know but its something around number