I need help pleaseeeee

Answer:

a = 2.5

Step-by-step explanation:

It is mentioned that 2 is a zero of the polynomial f(x) = ax² - 3(a - 1)x - 1

So that means :

⇒ f(x) = 0

⇒ x = 2

Substituting and solve for a :

⇒ 0 = a(2)² - 3(a - 1)(2) - 1

⇒ 0 = 4a - 6(a - 1) - 1

⇒ 0 = 4a - 6a + 6 - 1

⇒ 2a = 5

⇒ a = 2.5

If a and b are any odd integers, then a2 + b2 is even.

And the proof for that we can explain as,

 So we have a and b are any odd integers. By definition of odd integer,

           a = 2r + 1 and b = 2r + 1 for any integers r and s.

By definition of odd integer,

          a = 2r + 1 and b = 2s + 1 for some integers r and s.

By substitution and algebra,

      a2 + b2 = (2r + 1)2 + (2s + 1)2 = 2[2(r2 +52) + 2(r + s) + 1]. 2r2 + 2s2.

        Then k is an integer because sums and products of integers are integers. Let k = Thus, a2 + b2 = 2k, where k is an integer.

Proof: 1. Suppose a and b are any odd integers.

Proof:2. By definition of odd integer, a = 2r + 1 and b = 2r + 1 for any integers r and s.

Proof:3. By substitution and algebra, a2 + b2 = (2r + 1)2 + (2s + 1)2 = 2[2(r2 + s2) + 2(r + s) + 1].

Proof:4. Let k = 2(r2 + s2) + 2(r + s) + 1. Then k is an integer because sums and products of integers are integers.

Proof:5. Hence a2 + b2 is even by definition of even.

Proof:6. Thus, a2 + b2 = 2k, where k is an integer.

  Hence we proved that "If a and b are any odd integers, then a2 + b2 is even".

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Step-by-step explanation:

You have not included the question. What do you need to calculate?

Answer:

{2, -3, -3/2}

Step-by-step explanation:

hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.

x-2=0

x=2

x+3=0

x=-3

2x+3=0

2x=-3

x=-3/2

The set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

They are mathematical expressions involving variables raised with nonnegative integers and coefficients(constants that are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and nonnegative exponentiation of variables involved.

We have been given the function f(x)=(x-2)(x+3)(2x+3)

Each of the binomials is equal to 0 to determine the zeros of this polynomial.

1. x-2=0

x=2

2. x+3=0

x=-3

3. 2x+3=0

2x=-3

x=-3/2

Hence, the set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

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Before a tax of 22 %, the product has an original price of $ 8032.79.

In this problem we find the case of a product that is sold including a given tax, that is, the price of the product before taxes. The original price can be found by means of the following equation, which is in terms of resulting price and tax rate:

C = C' / (1 + r / 100)

Where:

If we know that C' = $ 9800, r = 22 %, then the original price of the product is:

C = 9800 / (1 + 22 / 100)

C = 9800 / (122 / 100)

C = 9800 / 1.22

C = $ 8032.79

Therefore, the original price of the product, that is, the price before a tax of 22 %, is equal to $ 8032.79.

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The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

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Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

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Answer:

It either used as a variable in math or used by teens and adults as the word  "Fine".

Step-by-step explanation:

Answer:

if we mean by math, 5n means 5 × a number

Step-by-step explanation:

say if your problem is 5n=20

20 ÷ 5=4

n=4

5 × 4= 20

hope this helps!

Answer:

D

Step-by-step explanation:

To determine if the liquid diet yields a higher average weight loss than the powder diet, we can conduct a hypothesis test. Let's assume the null hypothesis (H0) is that the average weight loss for both diets is the same, and the alternative hypothesis (Ha) is that the liquid diet yields a higher average weight loss.

To compare the means, we can use a two-sample t-test because we have two independent samples. The t-test compares the difference in means to the variability within the groups.

First, calculate the t-value using the formula:

t = (mean1 - mean2) / sqrt((s1^2/n1) + (s2^2/n2))

Here, mean1 is the average weight loss for the powder diet (42 pounds), mean2 is the average weight loss for the liquid diet (45 pounds), s1 is the standard deviation for the powder diet (12 pounds), s2 is the standard deviation for the liquid diet (14 pounds), n1 is the sample size for the powder diet (49 people), and n2 is the sample size for the liquid diet (36 people).

Substituting the values, we get:

t = (42 - 45) / sqrt((12^2/49) + (14^2/36))

Calculate the value of t to determine if it is statistically significant.

Next, compare the calculated t-value with the critical t-value for the desired level of significance (usually 0.05). If the calculated t-value is greater than the critical t-value, we reject the null hypothesis and conclude that there is evidence that the liquid diet yields a higher average weight loss than the powder diet.

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Answer:

1 1/2 (1 + 1/2)

Step-by-step explanation:

3 2/3 * 3/4 is 2 3/4. 2 3/4 divided by 1 5/6 is 1 1/2.

Answer:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Exact Form: x  =  34 /3

Decimal Form:  x  =  11. ¯  3

Mixed Number Form:  x  = 11  1 /3

Step-by-step explanation:

hope this helps!

Answer:

i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

x^2 +2 = 27

x^2 = 27 - 2

x^2 = 25

x = \(\sqrt{25\\\\}\)

x = 5

Answer: x equals 5

Step-by-step explanation:

27 minus 2 is 25, the square root of 25 is five.

The minimum number amount of light energy that can exist in Hasbrouck 20 is zero due to the divisibility of light.

According to quantum theory, light is composed of particles called photons. Each photon carries a certain amount of energy, which is directly proportional to its frequency.

However, the size of the lecture hall being 9 m across does not impose any constraints on the minimum amount of light energy. In the quantum realm, light can be continuously divided, and there is no lower limit to the amount of light energy that can exist.

Therefore, the minimum amount of light energy in Hasbrouck 20 is considered to be zero.

This implies that arbitrarily small quantities of light can exist, and the division of light energy can continue indefinitely.

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The area is just the dimensions multiplied, so multiply 7 by 18 and you get 126.

Answer:

Step-by-step explanation:

7inchx18inch= 126inch

Answer: 0= y x (x)

Step-by-step explanation: y x x ≠ 0.1x

The required inequality for the height of the building around the park should be y < 0.9x.

Given that,
A city has a building code that limits the height of buildings around the central park. The code says that all buildings must be less than 0.1x in height where x is the distance of the building from the center of the park and y is height in feet. Assume that the par center is located at 0.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
The height of all the buildings must be,
y < x - 0.1x
y < x(0.9)
y < 0.9x

Thus, the required inequality for the height of the building around the park should be y < 0.9x.

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How can a telephone survey of 1000 randomly selected US adults provide evidence that more than 1 in 4 US adults believe in ghosts?The survey results provide evidence that more than one in four US adults believe in ghosts. The telephone survey was conducted on a random sample of 1000 US adults. The survey found that 31 percent of US adults believed in ghosts.

To determine whether more than one in four US adults believe in ghosts, the null and alternative hypotheses will be tested.The null hypothesis in this scenario is that less than or equal to 25% of US adults believe in ghosts. The alternative hypothesis is that more than 25% of US adults believe in ghosts.Therefore, the level of significance (α) will be determined.

The α level is typically set to 0.05. This means that the likelihood of making a type I error is 5%. Then, the z-score will be calculated as follows:z = (0.31 - 0.25) / sqrt[(0.25 x 0.75) / 1000]z = 2.83The obtained z-score will be compared to the critical z-value using a z-distribution table. The critical z-value is 1.96. Since the obtained z-score is greater than the critical z-value, the null hypothesis will be rejected. Therefore, there is evidence to suggest that more than one in four US adults believe in ghosts.

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With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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Answer:

Step-by-step explanation:

An exponential function has a standard form

\(y=a(b)^x\) where a is the initial value, b is the rate of growth or decay, and x and y are found in coordinates from the table. We need to solve for b, the rate of change (growth or decay). We will use the first 2 coordinates in the table, namely (1, 6) and (2, 4) to solve for b. We will use a system of equations...2 equations for 2 unknowns. The first equation is found by plugging in a 6 for y and a 1 for x to get:

\(6=a(b)^1\) and, solved for a:

\(a=\frac{6}{b}\).

In the second equation, we will plug in a 4 for y, a 2 for x and the value for a we just found:

\(4=\frac{6}{b}(b)^2\) and, simplified a bit:

\(4=\frac{6b^2}{b}\) which finally simplifies to

4 = 6b and

\(b=\frac{2}{3}\). That's the rate of change we are asked to find. We could continue to find the whole equation. Plug in 2/3 for b to solve for a:

\(a=\frac{6}{\frac{2}{3} }\) and

\(a=\frac{6}{1}*\frac{3}{2}=\frac{18}{2}=9\) and the exponential equation is

\(y=9(\frac{2}{3})^x\) that means that we started with 9 of something and it is dying/decaying/depreciating at a rate of 33%

3, -1

Step-by-step explanation:

It goes 3 to the positive side

and one down side

Answer:

the answer is 11.

Step-by-step explanation:

To find the number of integers divisible by 6 between -30 and 39, we need to find how many multiples of 6 are in this range.

The first multiple of 6 greater than -30 is -24 (which is 6 times -4), and the last multiple of 6 less than 39 is 36 (which is 6 times 6).

So, we need to count the number of integers between -4 and 6 (inclusive), because each of these integers multiplied by 6 will give us an integer in the range -30 to 39 that is divisible by 6.

There are a total of (6 - (-4) + 1) = 11 integers between -4 and 6 inclusive, so there are also 11 integers between -30 and 39 that are divisible by 6.

Answer:

angle i, which is D)

Notice that X and I are both in the middle of the triangles.

Answer:

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: \(\mathbf{y=-6x+8}\)

Step-by-step explanation:

We need to  write an equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4)

The equation in slope-intercept form is : \(y=mx+b\) where m is slope and b is y-intercept.

We need to find slope and y-intercept for our equation.

In the question, we are given slope m = -6

Now, we need to find y-intercept.

Using slope m = -6 and the point (2,-4) we can find y-intercept

\(y=mx+b\\-4=-6(2)+b\\-4=-12+b\\b=12-4\\b=8\)

So, we get y-intercept : b = 8

Now, the equation of line having slope m = -6 and y-intercept : b = 8 in slope-intercept form will be:

\(y=mx+b\\y=-6x+8\)

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: \(\mathbf{y=-6x+8}\)

Answer:

m(x)=1.75

m(10)= 10x / 17.5

17.5

Step-by-step explanation:

Answer:84pi

Step-by-step explanation:

first we have to find the area of the base and the formula for that is pi(radius)squared so the radius is 6, pi(6)^2 which will give us 36pi. Next we have to write the formula for volume which is Base area times height over 3. So 36 times 7 divided by 3 (36x7)/3 we dont implement the pi symbol since we want the answer in terms of pi. 36 times 7 is 252, divided by 3 is 84pi

Answer:

现在我想你需要将 30 乘以 10/8，因为 1 张桌子需要 10/8 分钟，30 张桌子需要 10/8 * 30

After solving the equation 3p = 9, we found that p = 3, so there were 3 children at the birthday party

We know that Mary bought 9p balloons and gave each child 3 balloons. Therefore, we can set up the equation 3p = 9. To solve this equation, we must divide both sides by 3. This gives us p = 3. Therefore, there were 3 children at the birthday party.

Mary had planned a special birthday celebration for her daughter and needed to buy 9p balloons for the event. She gave each of the children 3 balloons and was left with 2p balloons after handing out all the balloons. This means that there were p children in attendance at the birthday party. After solving the equation 3p = 9, we found that p = 3, so there were 3 children at the birthday party.

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Answer:

50

Step-by-step explanation:

40+25%=50