Factor and simplify
sec⁴x-tan⁴x÷sec²x + tan²
X
Verify the identity​

The relation is:

(1, 2), (-3, 5), (6, 6), (-2, 0), (1, 2)

Is a function, because each element in the domain is mapped to a single element in the range.

A relation maps elements from one set, called the domain, into another set, called the range.

For example, the element x mapped into element y is written as (x, y).

Particularly, a relation is a function if each element from the domain is mapped into only one element of the range.

So, if we had two points like (2, 4) and (2, 5), then the relation is not a function (because the element 2 is mapped into two different elements of the range).

Here the relation is:

(1, 2), (-3, 5), (6, 6), (-2, 0), (1, 2)

So the input x = 1 appears twice, but both times is mapped to the same element, so this relation is a function.

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The inequality that represents the line in the figure will be y > - (2/3) x + 3.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

From the figure, the points of the line are (0, 3) and (3, 1). And the region above the line is a consideration. Then the equation of the line is given as,

(y - 3) > [(3 - 1) / (0 - 3)](x - 0)

Simplify the equation, then we have

(y - 3) > [(3 - 1) / (0 - 3)](x - 0)

(y - 3) > - (2/3)x

y > - (2/3) x + 3

The disparity that addresses the line in the figure will be y > - (2/3) x + 3.

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The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

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Answer: the second option

Step-by-step explanation:

i took the assignment

Answer:

Step-by-step explanation:

Given:

Find (f + g)(x):

Correct choice is C

\(\\ \tt\longmapsto (f+g)(x)=f(x)+g(x)\)

\(\\ \tt\longmapsto \dfrac{x-6}{2}+4x^2+x-4\)

\(\\ \tt\longmapsto \dfrac{x-6+8x^2+2x-8}{2}\)

\(\\ \tt\longmapsto \dfrac{8x^2+3x-14}{2}\)

\(\\ \tt\longmapsto 4x^2+\dfrac{3}{2}x-7\)

Answer:

  7. P(q) = 60 -0.03(x -80)²

  8. P(q) = -0.03x² +4.8x -132

  9. q = 35 balloons

  10. see attached

Step-by-step explanation:

You want the profit equation, break-even sales, and a graph for a party supply company that makes a maximum profit of $60 when they sell 80 balloons, and a profit of $33 when they sell 50 balloons.

If the profit is described by a quadratic equation with a maximum at (quantity, dollars) = (80, 60), and a point on the curve of (50, 33), we can write the equation in two steps.

The vertex-form equation will look like ...

  P(q) = 60 -a(q -80)² . . . . . for some scale factor 'a'

We want P(50) = 33, so we have ...

  P(50) = 33 = 60 -a(50 -80)²

  33 = 60 -900a

  a = (60 -33)/900 = 3/100 = 0.03

The profit equation is ...

  P(q) = 60 -0.03(q -80)²

Expanding the equation gives ...

  P(q) = 60 -0.03(q² -160q +6400)

  P(q) = -0.03q² +4.8q -132

The profit is zero at ...

  P(q) = 0 = 60 -0.03(q -80)²

  0.03(q -80)² = 60

  (q -80)² = 2000 . . . . . . . . divide by 0.03

  q = 80 ±20√5 = 35.3 or 124.7 . . . . . take the square root, add 80

The store will no longer make a profit when sales drops to 35 balloons.

The attachment shows a graph of the profit function.

__

Additional comment

You can find where the profit goes to zero using the graph, the quadratic formula, or by solving it using vertex form, as above. The graph is quick and easy; using the vertex form equation works nicely.

Selling 36 balloons will result in a profit of $1.92.

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Answer:

104 m

Step-by-step explanation:

[] Surface area is the area of the surface. In other words, we will need to find the area of 6 rectangles and then add them together.

-> Since it is a rectangular prism, it will have three pairs of sides that are congruent. We can find the area of one of the sides and multiply it by two for all 6 as shown below. Then we just need to simplify.

2 (2 * 5) + 2 (6 * 5) + 2 (6 * 2)

2 (10) + 2 (30) + 2 (12)

20 + 60 + 24

80 + 24

104

104 m

[] Why is it not 60?

-> 60 is the area of the figure, not the surface area

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The formula for calculating the surface area of a cuboid is

\(A = 2lw + 2hw + 2lh\)

where \(l\) = length, \(w\) = width, \(h\) = height

Let's calculate

\(A = (2 \times 6 \times 2) + (2 \times 5 \times 2) + (2 \times 6 \times 5)\\A = 104m^{2}\)

Answer:

21

Step-by-step explanation:

y+9 = ?

y=12

12+9=21

Answer:

3

Step-by-step explanation:

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer: 32

Step-by-step explanation:

80+8938+9 3 892417315868651550

Answer: A- x - 0.20x = 0.8x

Step-by-step explanation:

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Answer:

Solution given:

7x²-4x+3=0

taking common 7

7(x²+4/7*x+3/7)=0

x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0

(x+2/7)²=-17/49

x+2/7=\(\sqrt{\frac{17}{49}}\)

x=±√(17)/7-2/7

taking positive

x=√(17)/7-2/7

x=0.39

taking positive

x=-√(17)/7-2/7

x=-0.87

2:unreal number

Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.

The average rate of change of the function over the interval is 4x + 2h

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x² + 9

The interval is given as

From x = x to x = x + h

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(x) = 2x² + 9

f(x + h) = 2(x + h)² + 9

Next, we have

Rate = (2(x + h)² + 9 - 2x² - 9)/(x + h - x)

Evaluate

Rate = 4x + 2h

Hence, the rate is 4x + 2h

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Answer: 6

Step-by-step explanation: Since there are three different ways to get from A to B, that creates three variants of each way to get from B to C.

Say the roads are numbered. From A to B, you can use roads 1, 2, or 3. From B to C, you can use roads 4 or 5. The different combinations are 1-4, 1-5, 2-4, 2-5, 3-4, and 3-5.

Answer:

Given :-

To find :-

Solution :-

Putting the known values

Circumference = 2 × 3.14 × 4

Circumference = 25.12 cm

Answer:

x = 2

Step-by-step:

16x - 5 = 5 + 11x

16x - 11x = 5 + 5

5x = 10

/5     /5

x = 2

Good Luck

Answer: x=2

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Ok what do you need hlep with lol

Answer:

If you add a question, i will answer your question.

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Rounding to seven decimal places, the probability that one individual would be selected by all witnesses is 0.0000128.

Six different witnesses chose the same individual from a lineup in a homicide case. There were 5 guys in the lineup. The likelihood that each of the six witnesses would choose the same person if the identifications were done based just on guesswork.

P = 1 ÷ 5 is the likelihood that a witness will choose a certain individual at random.

The likelihood that all seven witnesses would select the same subject is P = \((\frac{1}{5})^{7}\)= 0.0000128.

Simply put, the probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes to determine how likely they are if we are unclear about how an event will turn out.

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Answer: C

Step-by-step explanation: Hope this help :D

Answer:

adjusted balance method

Answer:

195 cans will be left after 10 days

Sample Answer: I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

i did the edge thing

Answer:

I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

hope this helps

did it on edge

have a good day

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

the expected total amount of time in minutes is 88.4

Step-by-step explanation:

The computation of the expected total amount of time in minutes is given below:

= Standard deviation × needed to answer calls each day

= 1.7 × 52

= 88.4

hence, the expected total amount of time in minutes is 88.4

To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.

To solve this problem, we can use the formula for the standard deviation of the sample mean:

Standard deviation of sample mean = standard deviation / √(sample size)

Plugging in the given values:

Standard deviation of sample mean = 7 / √(31)

Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:

z-score = (sample mean - population mean) / standard deviation of sample mean

Plugging in the given values:

z-score = (141.5 - 145) / (7 / √(31))

Using a calculator, we find that the z-score is approximately -2.22.

Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

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