-6x + 3(x - 5) - 2x = -25

Answer:

0 ≤ x ≤ 8/3

Step-by-step explanation:

|x/4 - 1/3| ≤ 1/3

|x/4| ≤ 2/3

|x| ≤ 8/3

0 ≤ x ≤ 8/3

Answer: The answer is C

Step-by-step explanation:

Well, an example of a perfect square trinomial would look like is:

                   \(a^2-2ab+b^2\)      or      \(a^2+2ab+b^2\)

So since we already know what \(a^2\) is and what \(2ab\) is we just have to find \(b^2\)

However, we would use the \(a^2-2ab+b^2\) formula to solve this since we have a subtraction sign

Answer:

C

Step-by-step explanation:

16

Answer:

A triangle where the angles in the inside are 100 degrees, 40 degrees, and 40 degrees.

Step-by-step explanation:

The angles inside a triangle always add up to 180 degrees

And an obtuse triangle is a triangle whose biggest angle is bigger than 90 degrees

100 is biggest angle out of the three angles we're using to make the triangle and 100 is bigger than 90.

Adding the three angles we're using also makes 180 (100 + 40 + 40)

Answer:

A=85

B=58

Step-by-step explanation:

NO. OF 2 point basket⇒ A

NO. OF 3 point basket⇒B

A+B=89⇒ EQN 1

A=27+B

A-B=27⇒EQN 2

EQN 1 - EQN 2

2B=116

B=58

THEREFORE

 A=27+58

A=85

Answer:

its A,D,E

Step-by-step explanation:

just got it on EDGE

Answer:

A,D,E

Step-by-step explanation:

Step-by-step explanation:

here's your answer hope it helps you

Answer:

\(\boxed{\mbox{\large{\quad 54\quad }}} \quad\text{ 25\% of last year's attendance}\\\\\boxed{\mbox{\large{\quad 216\quad }}}\quad\text{100\% of last year's attendance}\\\\\)  

Step-by-step explanation:

If we let x be the number of attendees last year then since this year's attendees 270 is 125% of x we get

125% of x = 270

125% as a decimal = 125/100 = 1.25

So we get the equation
1.25x = 270

Divide by 1.25 to get

1.25x/1.25 = 270/1.25

x = 216

So there were a total of 216 attendees last year

25% of last year attendees = 0.25 x 216 = 54

The front cover and nature of the first question in a mail survey can influence the test statistic used to analyze the data.

The front cover of a mail survey can affect the response rate and the representativeness of the sample. For example, a survey that appears to be from a credible organization may be more likely to elicit a response from a broader and more representative group of people. On the other hand, a survey that is perceived as spam or a scam may attract only a small subset of the population.

Similarly, the nature of the first question asked can influence the respondents' engagement and willingness to complete the survey, which in turn affects the characteristics of the sample and the test statistic used for analysis. For instance, a question that is perceived as intrusive or irrelevant may discourage respondents from continuing the survey, resulting in a biased sample and potentially misleading test statistic. Therefore, researchers should carefully design the front cover and first question of a mail survey to maximize response rates and obtain a representative sample.

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Answer:

B. $39550

Step-by-step explanation:

The expression for the function is not well-formatted, find the correct format in the solution bellow

Step one:

given data

We are told that the function of the cost is

\(C(t) = 0.04t^3- 0.1t^2 + 5.5t\)

instantaneous rate c(t) is the value obtained when we plug in 100 for t in the function above

substituting we have

\(C(t) = 0.04(100)^3- 0.1(100)^2 + 5.5(100)\\\\\C(t) = 0.04*1000000- 0.1*10000 + 5.5*100\\\\C(t) = 40000-1000+550\\\\C(t) = 39550\)

$39550

Answer: g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Step-by-step explanation:

The number of litres of mango juice needed is 42 liters.

Ratio of oranges and mangoes = 9 : 2

Total ratio= 9 + 2 = 11

189 litres of orange juice;

number of litres of mango juice needed = x

9 : 2 = 189 : x

9/2 = 189/x

cross product

9 × x = 189 × 2

9x = 378

divide both sides by 9

x = 378/9

x = 42 liters

If 605 litres of the juice are made,

numbers of litres of orange juice and mango juice used

Orange juice= 9/11 ×605

= 495 liters

Mango juice= 2/11 × 605

= 110 liters

Hence, 495 liters and 110 liters of orange and mango juice are used respectively.

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Answer:

-7(9) < -56

Step-by-step explanation:

-7(9) is -63 which is less than -56 so anything above that is less than 56-

Answer:

x=8

Step-by-step explanation:

Hope,it helps it wasn’t that easy (:

Answer:

(-3, -5)

Explanation:

Given the function:

First, make y the subject of the equation.

To choose a point that lies on the line, we test the x-values and see if we get the corresponding y-value.

Since the y-value corresponds to the point (-3, -5), the point that lies on the function is (-3, -5).

Answer:

-4, 2

Step-by-step explanation:

x² + 2x - 8 = 0

[(x + 1)² - 1] - 8 = 0

(x + 1)² - 9 = 0

(x + 1)² = 9

x + 1 = ±√9 = ±3

x = -3 - 1, +3 - 1

= -4, 2.

Answer:

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Step-by-step explanation:

jrrjbbdjhtvb4sjjfjjjejsjuhfhrbdhksopapdkbrbhfhhxizidjjdjkkwkalqlpqpwkjdhbdnMsmnznxbbfjsjddheb5vgguyy5

Option- 3 is correct that is both a and b are true.

a. The statement is true that is cosx = \(1 - \frac{sinx}{cscx+cotx}\)

b. The statement is true that is sinx = \(1 - \frac{cosx}{secx+tanx}\)

Given that,

a. We have to prove the statement is true or false.

Statement: cosx = \(1 - \frac{sinx}{cscx+cotx}\)

Now, Take the right hand side

= \(1 - \frac{sinx}{cscx+cotx}\)

= \(1 - \frac{sinx}{\frac{1}{sinx} +\frac{cosx}{sinx} }\)

By using LCM

= \(1 - \frac{sinx}{\frac{1+cosx}{sinx} }\)

= \(1 - \frac{sinx\times sinx}{1+cosx} }\)

= \(1 - \frac{sin^2x}{1+cosx} }\)

= \(\frac{1+cosx - sin^2x}{1+cosx} }\)

We know from trigonometric identities 1 - sin²x = cos²x

= \(\frac{cos^2x+cosx }{1+cosx} }\)

= \(\frac{cosx(1+cosx )}{1+cosx} }\)

= cosx

LHS = RHS

Therefore, The statement is true

b. We have to prove the statement is true or false.

Statement: sinx = \(1 - \frac{cosx}{secx+tanx}\)

Now, Take the right hand side

= \(1 - \frac{cosx}{secx+tanx}\)

= \(1 - \frac{cosx}{\frac{1}{cosx} +\frac{sinx}{cosx} }\)

By using LCM

= \(1 - \frac{cosx}{\frac{1+sinx}{cosx} }\)

= \(1 - \frac{cosx\times cosx}{1+sinx} }\)

= \(1 - \frac{cos^2x}{1+sinx} }\)

= \(\frac{1+sinx - cos^2x}{1+sinx} }\)

We know from trigonometric identities 1 - cos²x = sin²x

= \(\frac{sin^2x+sinx }{1+sinx} }\)

= \(\frac{cosx(1+sinx )}{1+sinx} }\)

= sinx

LHS = RHS

Therefore, The statement is true

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The type of attachment between Umberto and his mother is called secure attachment.

The theory of attachment in developmental psychology is the theory that every human being is born with the need to form emotional bond with their caregiver.

The four main theory of attachment are:

The secure attachment theory is characterized by;

Because Umberto's mum is sensitive to his needs and he is only comfortable when she is around him makes this a secure type of attachment.

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Answer: secure

Step-by-step explanation:

The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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Answer:

Store A has a better deal

Step-by-step explanation:

Store A-

245x.25=61.25

245-61.25=183.75

Store A's sale price is $183.75

Store B-

166x.20=33.20

166+33.20= 199.20

Store B's new price is $199.20

Conclusion

$183.75 is less than $199.20 so store A has a better deal because you're paying less than what you would be paying at store B

The distance between the points A=(-7,-7) and B=(-3,-1) is 7.21 units.

We can use the distance formula to find the distance between points A=(-7,-7) and B=(-3,-1) on the coordinate plane.

The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the values we have, we get:

d = √((-3 - (-7))^2 + (-1 - (-7))^2)

= √((4)^2 + (6)^2)

= √(16 + 36)

= √(52)

≈ 7.21

Therefore, the distance between points A=(-7,-7) and B=(-3,-1) is approximately 7.21 units.

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a) The interest on the loan using exact interest and ordinary interest is as follows:

b) The difference between exact interest and ordinary interest amounts is d. $10.38.

Exact Interest is interest based on a period of 365 days.

Ordinary interest is interest based on a period of 360 days.

Loan amount = $35,000

Loan period = August 6 to December 14 (130 days)

Interest rate = 6%

Interest = $35,000 x 6% x 130/365

= $747.95

Interest = $35,000 x 6% x 130/360

= $758.33

Difference = $10.38 ($758.33 - $747.95)

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Answer:

6

Step-by-step explanation:

there are 6 -10's in -60 feet

Answer:

There are 6 increments of -10 feet in -60 feet.

Step-by-step explanation:

same answer from edmentum

Answer:

$2,142

Step-by-step explanation:

7% of 18,600 is 1,302

Add this to 840 and you get a total of $2,142

Commission is $1,302

Gross pay is $840

Answer:

18/8 = x/3

x = 6.75 inches (length)

Step-by-step explanation:

Hi, to answer this question we have to write 2 ratios using the information given:

A larger rectangle has a length of 18 inches and width of 8 inches.

Inches /width = 18/8

So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :

x/3

Solving for x:

18/8 = x/3

18/8 (3) =x

6.75 in= x

Feel free to ask for more if needed or if you did not understand something.

Answer:

b. the median is 82

Step-by-step explanation:

there is an even amount of numbers therefore there is no median.

Answer:

The answer is "The median is 82".

The cost of the stock for the investor would be calculated as follows:

Cost of 1 share = $98.93
Number of shares purchased = 500

Total cost of the stock = Cost per share x Number of shares
Total cost of the stock = $98.93 x 500
Total cost of the stock = $49,465

The broker charges 2% of the cost of the stock, so the broker's fee would be calculated as:

Broker's fee = 2% x Total cost of the stock
Broker's fee = 2% x $49,465
Broker's fee = $989.30

Therefore, the total cost of the stock for the investor including the broker's fee would be:

Total cost of the stock + Broker's fee = $49,465 + $989.30
Total cost of the stock + Broker's fee = $50,454.30

So the cost of the stock for the investor including the broker's fee is $50,454.30.

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answer : Tn=7n+4

first find the common difference then use the formula Tn=a+(n-1)d

The coordinates of the point C' is (x, y) = (-3, 0)

The given vertices of the ΔABC are; A(-5, 4), B(-2, 2) and C(-3, 2)

The line of reflection to produce the image ΔA'B'C' is the line y = -1

To find the coordinates of C' after a reflection across the line y = 1

Now, According to the question:

Let (x, y) represent the coordinate of the point C

x-coordinate value:

The line y = -1 is parallel to the x-axis, therefore, the x-value will remain the same following a reflection across the x-axis

Taking the point C' as the image of the corresponding point C(-3, 2), we have that the x-coordinate of the point C' is also -3

x = -3

y-coordinate value:

The difference between the coordinate of the preimage and the reflecting line is the same as the difference between the reflecting line and the coordinates of the image

The y-value distance of the point C(-3, 2), from the line y = -1 is 2 - 1 = 1

Therefore, the y-value  distance of C' from the reflecting line is given as follows;

1 - y = 1

y = 1 - 1 = 0

y = 0

Therefore, the coordinates of the point C' is (x, y) = (-3, 0)

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The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

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