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The equation in the form ax² + bx + c of the quadratic equation with 7 and 2/5 as it root is x² - 33 / 5 x + 14 / 5

The root of the quadratic equation are 7 and 2/5 .

The equation should be written in the form

ax² + bx + c

where

a, b and c are integers.

Therefore,

x - (7) and x - 2/5

(x - 7)(x - 2/5)

open the bracket

x² - 2/5x - 7x + 14 / 5

x² - 33 / 5 x + 14 / 5

where

a = 1

b = -33 / 5

c = 14 / 5

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Answer:

332,193 years

Step-by-step explanation:

From the question above, we are to calculate the time in an half life question, hence, the formula is given as

t = In(Nt/No) ÷ -(In2/t½)

Where

t = time is takes for an substance to decay or reduce

Nt = Amount of sample after time = 2g

No = Initial amount of sample = 20g

t½ = Half life = 100,000 years

Hence,

t = In(2/20) ÷ (In 2/ 100,000)

t = 332192.80948874 years

Approximately = 332,193 years

Answer:

3 x ( 3 − x ) 3x(3-x) 3x(3−x) Expand by distributing terms. Simplify 3 x × 3 3x\times 3 3x×3 to 9 x 9x 9x. Use Product Rule: x a x b = x a + b {x}^{a}{x}^{b}={x}^{a+b} xa​xb​=xa+b​.

Step-by-step explanation:

hope this help's

Answer:

Answer:

15 3-gallon buckets of water will fill the cistern

Step-by-step explanation:

Eighteen 2.5- gallon buckets are needed to fill a cistern of water

This means, 2.5 gallon buckets in 18 places

2.5 gallons × 18 = 1 cistern of water

45 gallons = 1 cistern of water

How many 3-gallon buckets of water will fill the cistern.

Number of 3-gallon bucket in a cistern = Total gallons of bucket in one cistern / 3-gallon buckets

= 45 gallons / 3-gallon buckets

= 15

Number of 3-gallon bucket in a cistern = 15

15 3-gallon buckets of water will fill the cistern

Answer:

1 inch-8  lot of math make me brainliest

Step-by-step explanation:

3ft-8yd

or 36 in- 288in

18-144

9-72

3-24

Answer:

its 72, 36, 144

Step-by-step explanation:

yes it is!!!

Answer:

125

Step-by-step explanation:

36-6=30

30/6=5

25n= 25 x 5= 125

Answer: 78 I think.. maybe .... ummm yeah I think so

Step-by-step explanation:

Answer: 8y − 56

Step-by-step explanation:

Multiply using the distributive property.

Answer:

None

Step-by-step explanation:

Answer:

[tex] \frac{0}{1} [/tex]

[tex] \frac{0}{2} [/tex]

[tex] \frac{0}{72} [/tex]

[tex] \frac{0}{-56} [/tex]

[tex] \frac{0}{10} [/tex]

any number as the denominator and 0 as the numerator can be replaced in the place of 0.

Step-by-step explanation:

[tex] \frac{0}{any \: \: integer} = 0[/tex]

Answer:  $622.09

Step-by-step explanation:

You add up all you answers and you get the sum and just put a $ in front of it

I hope I helped :)

The adam balance at the end of the month is $622.09.

Given that,

Based on the above information, the calculation is as follows:

= $174.85 + $316.38 + $28 + $102.86

= $622.09

Therefore we can conclude that the adam balance at the end of the month is $622.09.

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Answer:

61

Step-by-step explanation:

first subtract the 34 students that went with a car then divide 366 ÷ 6=61

400-34=366

366÷ 6=61

Hope this helps :)

Answer:

Average rate of change between x = 3 to x = 5 is 0.

Step-by-step explanation:

Given quadratic function s passing through two points (3, 0) and (5, 0).

Average rate of change of a function between x = a and x = b is given by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the graph attached,

Average rate of change between x = 3 to x = 5 will be,

= [tex]\frac{f(5)-f(3)}{5-3}[/tex]

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

= 0

Therefore, average rate of change between x = 3 to x = 5 is 0.

Answer: The average rate of change for the given graph from x=3 to x=5 is 0

Answer:

0.875 is the ratio from white to brown socks.

Answer:

Y = 5x + 2

Step-by-step explanation:

Y= Mx + b

Answer:

By cross multiplication method

x=

(a

1

b

2

−a

2

b

1

)

(b

1

c

2

−b

2

c

1

)

&

y=

(a

1

b

2

−a

2

b

1

)

(c

1

a

2

−c

2

a

1

)

Where a

1

x+b

1

y+c

1

=0 & a

2

x+b

2

y+c

2

=0

are 2 lines

⇒x=

2(−2)−(3×3)

3(−6)−(−2)(−17)

=

−13

−52

=4

y=

2(−2)−(3×3)

(−17)3−(−6)2

=

−13

−39

=3

⇒

x=4&y=3

Answer:

1. 47.1%    2. 69.4%   3. 72.9% 4.  55.6%

Step-by-step explanation:

you just have to add both the numbers and divide the one you are trying to find is liked by the total of both.

ex.

what precent of chicago likes rain?

chicago rain 143   snow 59

143+59=202

143/202=70.7%

Answer:

When we write numbers in scientific notation, we must put the first non-zero digit ahead of the decimal.  In this case, the decimal would be behind the 3. Because we moved the decimal places four times to the right, our exponent will be 4. Thus,

3.00 x 10⁻⁴

we can express 0.0003 as 3 × 10⁻⁴ in scientific notation.

To express 0.0003 in scientific notation, we count the number of decimal places from the original number until we have a single non-zero digit before the decimal point. In this case, we have four decimal places before the non-zero digit (3).

Thus, we can express 0.0003 as 3 × 10⁻⁴ in scientific notation. The negative exponent (-4) indicates that we move the decimal point four places to the left to obtain the original value.

In summary, by counting the decimal places, we can express 0.0003 as 3 × 10⁻⁴ in scientific notation.

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Answer:

I cannot see all of the graphs, but D looks to be the right answer.

Step-by-step explanation:

I hope this helps!! Have a great day!!!

Answer:

6.61 or 6 times

Step-by-step explanation:

278/42 = 6.61

42 goes into 278 6.61 times.

If you are estimating, 6 is correct.

If you are finding the exact answer, 6.61 is correct.

I hope this helps with your question.

Answer:

36

Step-by-step explanation:

Answer: 36°

Step-by-step explanation: The three angles of a triangle always equal 180 when added together. Since we have two angles already, we simply subtract those from 180

180 - 115 = 65

65 - 29 = 36

J = 36

The fraction of the shaded part of the set is 1/3.

Given is a figure in which there are total 12 parts with 4 parts shaded.

We need to find the fraction of the shaded part of the set,

To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.

In this case, the total number of parts is 12, and the number of shaded parts is 4.

Therefore, the fraction of the shaded part can be calculated as follows:

Fraction of shaded part = Number of shaded parts / Total number of parts

Fraction of shaded part = 4 / 12

Simplifying the fraction, we get:

Fraction of shaded part = 1 / 3

So, the fraction of the shaded part of the set is 1/3.

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[h=,10m],[l=,4m],[w=,6m]]

Step-by-step explanation:

Answer:   (49)/(48)m^(3)

Step-by-step explanation:

Answer:

the answer would be 2 * 2 * y √2 * 5* 7 * y

Step-by-step explanation:

Answer: 1.25

Step-by-step explanation:

To solve this, we.will use the formula,

y = kx

where,

y = water depth

k = constant of proportionality

x = time

Using y = kx

2.5 = 2k

k = 2.5/2

k = 1.25

Also,

y = kx

3.75 = 3k

k = 3.75/3

k = 1.25

Answer:

Step-by-step explanation:

if we have 137 students, and out of this number 7 were in cars

137-7=130 students in buses

there are 5 buses

130/5=26

26 students in each bus