A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the
function f(x) = - x4 + 3x3 + 5x2 + 20x + 1.
What is the least number of bouquets that must be sold for the store to make a profit?
3
4
5
6

Answer:

False

Step-by-step explanation:

..............

Answer:

True

Step-by-step explanation:

Answer:

10 times.

Step-by-step explanation:

Since 1 liter = 1000 milliliters, we can say that 600 milliliters is equal to 0.6 liters because 600/1000 = 0.6

Since the gas can holds 6 liters, and the lawn mower holds 0.6 liters, 6/0.6 = 10.

So, he can fill his lawn mower 10 times with the gas can

Mr Green can fill his lawn 10 times

the first step is to convert the milliliters to liters

600 milliliters to liters

= 600/1000

= 0.6 liters

the number of times can be calculated as follows

= 6/0.6

= 10

hence it will take Mr. Green  10 times to fill his lawn mower

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Answer:

0.5625

Step-by-step explanation:

Answer:

A) x/4 + y/5 = 2

B) x/2 + y = - 3

Step-by-step explanation:

We multiply A) by -4 and B) by 2

A) -x - 4/5 y = -8

B) x + 2y = -6 then add A) and B)

1.2y = -14

y = 11 (2/3) = -11.6666666...

x + 2y  = -6

x = -6 -2*-11.6666666

x =  -23.3333332

Answer:

The polynomial form of the expression is: 25·X² + 2·X + 2.

Step-by-step explanation:

The expression that can be formed using the provided data is:

[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]

Simplify the expression to get a result in polynomial form as follows:

[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]

[tex]=9X^{2}+4X-3+16X^{2}-2X+5\\\\=(9+16)X^{2}+(4-2)X+(5-3)\\\\=25X^{2}+2X+2[/tex]

Thus, the polynomial form of the expression is: 25·X² + 2·X + 2.

Answer:

36. 58.34

37. 530.66

Step-by-step explanation:

36. 2x3.14x8=7.28x8=58.34

so 36=58.34

37.

3.14x26/2=3.14x13x13=530.66

please brainly

Answer:

56740.15908m³

Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³

Step-by-step explanation:

1 meter = 3.28084ft

1 acre = 43,560 ft²

Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :

46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²

= 2003760/35.314670112

= 56740.15908m³

Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³

Answer:

33, 35, 37

Step-by-step explanation:

Consecutive: in a row

Odd: any number not evenly divisible by 2

Integers: Whole numbers

Sum: the answer to an addition problem

So, 100 is close to 30*3, so start there and move on. It has to be a little more, so start at 31, 33, and 35, but it's only 99, so you need something a little more. Check 33, 35, and 37 to be sure, and you've got your answer!

Answer:

the answer is -6

Step-by-step explanation:

if you have -5 and you take away another number, you end up with -6

Answer:

-6

Step-by-step explanation:

-5 - 1 ISNT -4

-5 + 1 IS -4

Answer:

[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]

Step-by-step explanation:

Given

Δ PQR ~ Δ DEF

Then the ratio of corresponding sides are equal

The corresponding letters in the names of the triangles gives the corresponding sides.

Thus PQ/DE, QR/EF, PQ/DF

In this case

[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]

Explanation:

There are 5 letters, so there would be 5! = 5*4*3*2*1 = 120 different permutations; however, there are 2 letter 'o's meaning we have double counted. To correct this, divide by 2 to get 120/2 = 60.

If there was a way to tell the two 'o's apart, then the answer would be 120.

The total number of ways the letter in the word "spoon" can be arranged is 120 and this can be determined by using the given data.

Given :

Word  --  Spoon

The following steps can be used in order to determine the total number of ways the letter in the word spoon is arranged:

Step 1 - According to the given data, the word is 'spoon'.

Step 2 - The total number of letters in the word 'spoon' is 5.

Step 3 - So, the total number of ways the letter in the word "spoon" can be arranged is:

[tex]= 5 \times 4\times 3\times 2 \times 1[/tex]

Step 4 - Simplify the above expression.

= 120

Therefore, the correct option is D).

For more information, refer to the link given below:

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Answer:

a²+b²=126

Step-by-step explanation:

(a+b)²=a²+b²+2ab

(12)²=a²+b²+2×9

144=a²+b²+18

a²+b²=144-18=126

Answer:

C

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

Answer: 95 units.

Step-by-step explanation:

The cost of making x units is:

C(x) = x^2 + 10*x + 45.

Now, if the cost is $10,020, then we can solve this for x as:

C(x) = 10,020 = x^2 + 10*x + 45

x^2 + 10*x + 45 - 10,020 = 0

x^2 + 10*x - 9,975 = 0

Now, remember that for a quadratic equation:

a*x^2 + b*x + c = 0

the solutions are:

[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In this case the solutions are:

x = [tex]x = \frac{-10 +-\sqrt{10^2 - 4*1*(-9,975)} }{2*1} = \frac{-10 +- 200}{2}[/tex]

Then we have two solutions, one for each sign:

x = (-10 -200)/2 = -110

x = (-10 + 200)/2 = 95

Here we must choose the positive option, as x represents a positive quaintity.

Then the number of units manufactured is 95.

Answer: m²-mn

Explanation: multiply the letter outside the brackets by everything inside the brackets, so, m×m = m² and m×n = mn, altogether it is m²-mn.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

n + q = 20

.05n + .25q = 3.00

5n + 25q = 300

 n + q = 20

5n + 25q = 300

-5n - 5q = -100

20q = 200

q = 10 quarters

n + 10 = 20

n = 10 nickels

(10 nickels, 10 quarters)

Answer:

C

Step-by-step explanation:

I would say C because,

Even + Even = Even.

Odd + Odd = Odd.

So simply, you can't have an even number if you add it to a odd.

Even + Odd = Odd

awnser.

c. aleays an odd number

Answer:

The mass of the $4.60/lb tea that should be used in the mixture is 10 lb

The mass of the $5.75/lb tea that should be used in the mixture is 8 lb

The mass of the $6.50/lb tea that should be used in the mixture is 2 lb

Step-by-step explanation:

The parameters of the question are;

The worth of the three teas are

Tea A = $4.60/lb

Tea B = $5.75/lb

Tea C = $6.50/lb

The mass of the mixture of the three teas = 20 lb

The worth of the mixture of the three teas = $5.25 per pound = $5.25/lb

The amount of the $4.60 in the mixture = The sum of the amount of the other two teas

Therefore, given that the mass of the mixture = 20 lb, we have in the mixture;

The mass of tea A + The mass of Tea B + The mass of Tea C = 20 lb

The mass of tea A = The mass of Tea B + The mass of Tea C

Therefore;

The mass of tea A + The mass of tea A = 20 lb

2 × The mass of tea A in the mixture = 20 lb

The mass of tea A in the mixture = 20 lb/2 = 10 lb

The mass of tea A in the mixture = 10 lb

The mass of Tea B + The mass of Tea C = The mass of tea A = 10 lb

The mass of Tea B + The mass of Tea C = 10 lb

The mass of Tea B  = 10 lb - The mass of Tea C

Where the mass of Tea C in the mixture = x, we have;

The mass of Tea B in the mixture = 10 lb - x

The cost of the 10 lb of tea A = 10 × $4.60 = $46.0

The worth of the tea mixture = 20 × $5.25 = $105

The worth of the remaining 10 lb of the mixture comprising of tea A and tea B is given as follows;

The worth of Tea B + The worth of Tea C in the mixture = $105.00 - $46.00 = $59.00

Therefore, we have;

x lb × $6.50/lb + (10 - x) lb × $5.75/lb = $59.00

x × $6.50 - x × $5.75 + $57.50 = $59.00

x × $0.75 = $59.00 -  $57.50 = $1.50

x =  $1.50/$0.75 = 2 lb

∴ The mass of Tea C in the mixture = 2 lb

The mass of Tea B in the mixture = 10 lb - x = 10 lb - 2 lb = 8 lb

The mass of Tea B in the mixture = 8 lb

Therefore, since we have;

Tea A = $4.60/lb

Tea B = $5.75/lb

Tea C = $6.50/lb

The mass of tea A in the mixture = 10 lb

The mass of tea B in the mixture = 8 lb

The mass of tea C in the mixture = 2 lb, we find;

The mass of the $4.60/lb tea that should be used in the mixture = 10 lb

The mass of the $5.75/lb tea that should be used in the mixture = 8 lb

The mass of the $6.50/lb tea that should be used in the mixture = 2 lb.

Answer:

try using desmos its a graphing calculator

Step-by-step explanation:

Answer:

x intercept = (3.6, 0)

y intercept = (0, -2)

Step-by-step explanation:

i did this on khan academy so it's easy

you're welcome

Assuming 129 is given in base 10, notice that

129 = 128 + 1 = 2⁷ + 1

More clearly, we have

129 = 1•2⁷ + 0•2⁶ + 0•2⁵ + 0•2⁴ + 0•2³ + 0•2² + 0•2¹ + 1•2⁰

so that

129 = 1000 0001₂

(I put a space between each block of 4 bits for ease of reading)

Answer:

75

Step-by-step explanation:

If the triangles are similar, it means the ratio between the two give sides is the same. As seen from the smaller triangle the ratio of the two top sides would be 16:50 or 8:25.

Since the first side of the bigger triangle (24) is three times 8 (it's ratio side), then the other side must be 3x25 = 75, which maintains the ratio 8:25 between the two sides (24:75).

Hope this helped!

Answer: 2(2a+b)^2

Step-by-step explanation:

4a+2b then squared which doubles it

Answer:

Any real number will have only one real cube root. Hence the technicalities associated with the principal root do not apply.

Step-by-step explanation: