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Solve ² - 5x+7=0.​

To find two positive numbers that satisfy the given requirements, we'll let the first number be denoted as 'x' and the second number as 'y.' We are given that the sum of the first number and twice the second number is 320. By expressing the product as a function of 'x' and solving for its maximum value, we can determine the two positive numbers that satisfy the given conditions.

  Let's assume the first positive number is 'x' and the second positive number is 'y.' According to the problem, we have the following equation: x + 2y = 320.

To maximize the product of the two numbers, we need to express it as a function of 'x' only. The product, denoted as P, can be expressed as P = x * y.

We can use the equation x + 2y = 320 to rewrite y in terms of x: y = (320 - x) / 2. Substituting this expression into the product function, we get P = x * [(320 - x) / 2].

To find the maximum value of P, we can take the derivative of P with respect to x and set it equal to zero. Differentiating P with respect to x, we have dP/dx = (320 - 2x) / 2.

Setting dP/dx equal to zero and solving for x, we get 320 - 2x = 0, which simplifies to x = 160.

Substituting the value of x back into the equation x + 2y = 320, we find 160 + 2y = 320. Solving for y, we get y = 80.

Therefore, the two positive numbers that satisfy the given requirements are x = 160 and y = 80.

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The standard deviation of the number in full-time employment is approximately 4.04. The approximate probability that fewer than half of the sample are in full-time employment is 0.0175, or 1.75%.

To find the expected number of people in full-time employment in a sample of 80, we first multiply the sample size by the population proportion: 80 x 0.55 = 44. So, we can expect approximately 44 people in the sample to be in full-time employment.

To find the standard deviation of the number in full-time employment, we use the formula for the standard deviation of a binomial distribution:

σ = √(n x p x q),

where n is the sample size, p is the population proportion, and q is the complement of p (i.e., 1 - p).

Plugging in the values, we get:

σ = √(80 x 0.55 x 0.45) = 4.04

Therefore, the standard deviation of the number in full-time employment is approximately 4.04.

To find the probability that fewer than half of the sample are in full-time employment, we use the binomial distribution again. The probability of getting fewer than half of the sample in full-time employment is the same as the probability of getting 39 or fewer people in full-time employment (since half of 80 is 40).

Using a binomial calculator, we find that the probability of getting 39 or fewer people in full-time employment is 0.0175, or 1.75%.

Therefore, the approximate probability that fewer than half of the sample are in full-time employment is 0.0175, or 1.75%

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Answer:

Step-by-step explanation:

Answer:

Correlation

Step-by-step explanation:

Answer:

The younger brother is 16 years old.

Step-by-step explanation:

The younger brother is aged x.

It follows that the older brother is aged x+3.

x + (x+3) = 35

2x + 3 = 35

2x = 32

x = 16

Answer:

they are 16 and 19

the younger bro is 16

Step-by-step explanation:

if you add 16 and 19 you get 35

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Answer:

no

Step-by-step explanation:

Answer:

the answer is D

1.step by step explanation :

\(4 {x}^{2 } - 25 {y}^{2}{z}^{2} \)

\( \sqrt{4 {x}^{2} } - \sqrt{25 {y}^{2} } {z}^{2} \)

2x-5yz

Answer: 4

Step-by-step explanation: We can rewrite this as 5 1/4 - 1 1/4 which equals 4.

Answer:

11) -x to the power of 9/y to the power of 8

ᴍᴀᴛʜᴡᴀʏ can help you with the other problems.

Hope I could help!

Answer:

i need this answer also

Step-by-step explanation:

Answer:

it is D hope this helps

Step-by-step explanation:

The bearing of C from A is 90 degrees when B is equidistant from A and C.

In navigation and geometry, bearing refers to the direction or angle between two points, measured clockwise from a fixed reference direction. Typically, bearings are measured in degrees, with 0 degrees indicating a direction due north, 90 degrees indicating a direction due east, 180 degrees indicating a direction due south, and 270 degrees indicating a direction due west. Bearings can be expressed as either magnetic bearings or true bearings, depending on the reference direction used.

Let's assume that the distance from B to A and from B to C is the same.

To find the bearing of C from A, we can use the fact that the interior angles of a triangle sum up to 180 degrees. Therefore, we can first find the bearing of A from C:

180 - 129 = 51

This means that the bearing of C from A is 51 degrees in the opposite direction of the bearing of A from C. Since the bearing of A from C is 219, the bearing of C from A is:

219 - 180 + 51 = 90 degrees

Therefore, the bearing of C from A is 90 degrees.

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Answer:

i really dont know but question 2 is either 5 cent 25 cent 10 cent or 50

Step-by-step explanation:

Answer:

192 meters squared

Step-by-step explanation:

Cos(angle) = adjacent leg/ hypotenuse

Cos(61) = x/19

X = 19 * cos(61)

X = 9.2114

Rounded to the nearest tenth = 9.2

Answer:

4.55

Step-by-step explanation:

step 1.     6.5 / 500 =  .013

step 2.    .013 X 350  = 4.55

Hope this helps

The simple multiplier of the economy represented by the system of equation above is: 4/7.

The simple multiplier is the ratio of the change in equilibrium output to a change in autonomous expenditures, such as government spending or investment.

To find the simple multiplier in the economy, we need to first determine the equation for equilibrium output, which is where aggregate demand (AD) equals aggregate supply (AS).

Setting y in both equations equal to each other, we get:

710 - 30p + 5g = 10 + 5p - 2s

Simplifying and rearranging, we get:

35p = 700 + 2s - 5g

p = (20/7) + (2/35)s - (1/7)g

Now that we have the equilibrium price, we can substitute it back into the AD equation to find the equilibrium output (y):

y = 710 - 30[(20/7) + (2/35)s - (1/7)g] + 5g

y = (400/7) + (6/7)s + (4/7)g

The simple multiplier is then equal to the change in equilibrium output divided by the change in government purchases:

simple multiplier = Δy/Δg = 4/7

Therefore, the simple multiplier in the economy is 4/7.

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Answer:

2. 2.0 metres

3. 9.7 metres

Answer:

(4+7x)(4-7x)

Step-by-step explanation:

Answer:

-82

Here you go :D

Answer:

It is  D hope this helps

Step-by-step explanation:

Answer:

The zeros are -2, 2.

Step-by-step explanation:

\(\implies \) 5x²-20 = 0

\(\implies \)5x² = 20

\(\implies \)x² = 20/5

\(\implies \)x² = 4

\(\implies \)x = √4

\(\implies \) x = +2 OR -2

Hope it helps.

Answer:

B) y = 6,071,675,206(1.012)^x

Step-by-step explanation:

It appears that this question asks for an exponential model that represents the population growth. I believe you could view the equation in the form y = (initial population)(rate)^x

Since the initial population is 6,071,675,206, you could substitute that in to get y = 6,071,675,206(rate)^x

Since your rate is increasing by 1.2% (0.012 in decimal form), just convert that to decimal form (knowing that 100% = 1.0, add 0.012 to get 1.012). Substitute that in to get y = 6,071,675,206(1.012)^x

Hope that helps. Feel free to let me know if it made sense.

Answer:

B. 2(5+3)

Step-by-step explanation:

PEMDAS

2(5+3)

5+3= 8

2 × 8 = 16

10 + 6 = 16

Answer:

red=7

pink=4

purple=15

dark pink=22

gray=18

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Calcium (Ca) can form a Ca2+ cation by losing its two valence electrons.

Elements in group 2A (2) of the periodic table form ions with a charge of 2+. Therefore, the correct answer is c. 2+.

Group 2A elements, also known as alkaline earth metals, have two valence electrons in their outermost shell, which they tend to lose in chemical reactions to form cations with a charge of 2+. For example, magnesium (Mg) can form a Mg2+ cation by losing its two valence electrons. Similarly, calcium (Ca) can form a Ca2+ cation by losing its two valence electrons.

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Answer:

5 and 8

Step-by-step explanation:

quadratic formula.

-(b)+sqrt(b)^2-4(a)(c)

^ans

divide the whole thing by 2(a).

If the formula isn't clear, search quadratic formula up.