How to write g(x)= 3(x+1)(x+3)(x-4) in standard form

The value of x, to the nearest tenth, is approximately 4.96. The steps involved using the tangent ratio and solving for the unknown side in a right triangle.

In a triangle, the angle opposite to the side x as angle A, and the side opposite to the angle 33° as side B, and the largest side as side C. So we have:

Angle A = 90° - 33° = 57° (since the sum of angles in a triangle is 180°)

Side B = 8

Side C = 15

Side x = ?

Write the formula for the tangent ratio in terms of the sides of the triangle. For angle A, we have:

tangent(A) = opposite/adjacent

Substitute the known values into the formula and solve for the unknown side. Substituting the values we have, we get

tangent(33°) = x/8

Multiplying both sides by 8, we get:

x = 8 * tangent(33°)

Use a calculator to find the value of the tangent of 33 degrees. We get:

tangent(33°) ≈ 0.6494

Substitute the value of the tangent into the formula we obtained in step 3 and solve for x. We get

x ≈ 8 * 0.6494

x ≈ 5.1952

Round the answer to the nearest tenth, since the question asks for the value of x to the nearest tenth. We get

x ≈ 4.96

Therefore, the value of x, to the nearest tenth, is approximately 4.96.

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Answer:

the answer is 60 + 5x > 350

Answer:

Grocery Giant has the better price for the pineapple.

Step-by-step explanation:

Superway Store

3 cans of pineapple is 2.25

Grocery Giant

6 cans of pineapple is 4.80

Superway Store 6 cans is 2.25 + 2.25 = 4.50

Which means that Superway Store is cheaper by 30 cents

The combination formula helps to determine the number of non-negative solutions of equation

x₁ + x₂ + x₃ + x₄ + x₅ = 21 in different cases.

a) Total number of solutions for equation in case of x₁ ≥ 1, is equals to the 10626.

b) Total number of solutions for equation in case of xᵢ ≥ 2 for i = 1, 2, 3, 4, 5, is equals to the 1365.

c) Total number of solutions for equation in case of 0 ≤ x₁ ≤ 10 is equals to the 11649.

d) Total number of solutions for equation in case of 0 ≤ x₁ ≤ 3, 1 ≤ x₂ < 4, and x₃ ≥ 15, is equals to the 76.

We have an equation x₁ + x₂ + x₃ + x₄ + x₅ = 21, where xᵢ , i = 1, 2, 3, 4, 5 and we have to determine the number of solution of equation.

a) Solution of equation when x₁ ≥ 1

Let there are 5 boxes namely, x₁,x₂,x₃,x₄,x₅ in which 21 balls are placed distinguished. First ball is placed in box x₁. So, remained 20 balls are placed into 5 boxes with repititions. So, number of ways are C(n+r−1, r-1) = (n + r − 1)!/(r-1)!n! , where n = 20 , r = 5

C(n + r −1, r- 1) = C(20 + 5− 1 ,4)

= C(24,4) = 10626

b) Solution of equation for xᵢ ≥ 2 for i = 1,2,3,4,5.

Now, xᵢ ≥ 2 for i = 1,2,3,4,5, means first drop two balls into every box. Then, only 11 balls, remaining

n =11, r = 5

C(n+r−1, r-1) = (n+r−1)!/(r-1)!n!

= C(11 + 5−1, 4) = C(15, 4)

= 1365

c) Solution of equation for 0 ≤ x1 ≤ 10

when 21 balls dropped into five boxes x₁, x₂, x₃, x₄,x₅ then C(n+r−1, r-1) = (n+r−1)!/(r-1)!n! ; n= 21, r = 5

C(n + r −1, r - 1) = C(21+ 5− 1 ,4)

C(25, 4) = 12650

xi ≥ 11 , n=11, r = 5 then

C(n + r−1, r- 1 ) = C(11+4−1,4)

C(14,4) = 1001

C(25,4) − C(14,4) = 12650 − 1001 = 11649

d) Solution of equation for 0 ≤ x₁≤ 3, 1 ≤ x₂ < 4, and x₃≥ 15. For this condition solution is = { x1≥ 0, x2≥ 0, x3 ≥ 15} - { x₁≥3, x₃≥ 15} - { x₂≥4, x₃≥ 15} - { x₁=0, x₃ ≥ 15}

Now, first 15 balls are dropped into x3 and remaining 6 are droped into remaining boxes, { x₁ ≥ 0, x₂≥ 0, x₃≥ 15}, Then, n = 6, r = 5

C(n + r −1, r - 1) = C(6+ 5− 1 ,4)

C(10, 4) = 210

Also, { x₁ ≥3, x₃ ≥ 15}, represents 3 and 15 balls are dropped into x₁ and x₃ respectively. and remaining 3 balls will dropped into 5 boxes with repititions, n = 3, r = 5

C(n + r −1, r - 1) = C(3+ 5− 1 ,4)

C(7, 4) = 35 ways

{ x₂≥4, x₃≥ 15} , represents 4 and 15 balls are dropped into x₂ and x₃ respectively. and remaining 2 balls will dropped into 5 boxes with repititions, n= 2, r = 5

C(n + r −1, r - 1) = C(5+ 4− 1 ,4)

C(7, 3) = 15 ways

{ x₂ = 0, x₃ ≥ 15}, represents 0 and 15 balls are dropped into x₂ and x₃ respectively. and remaining 6 balls will dropped into 4 boxes with repititions, n= 6, r= 4

C(n + r −1, r - 1) = C(6+ 4− 1 ,3)

C(9, 3) = 84 ways

So, the number of solutions for this case = 210 - 35 - 15 - 84 = 76.

Hence there are 76 non-negative integer solutions.

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To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

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To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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Answer:

y=-6.

Step-by-step explanation:

1) the condition f(-1)=-6 and f(4)=-6 mean points A and B have coordinates (-1;-6) and (4;-6);

2) the points A and B has the same y-coordinate, it means, the required line is parallel to the x-axis and the required function is: y=-6.

P.S. the suggested way is not the only one.

The linear function f is f(x) = -6.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(-1) = -6

f(4) = -6

The linear function f can be in the form of f(x) = mx + c.

Now,

m = (-6 + 6) / (4 - 1)

m = 0/3

m = 0

Now,

f(-1) = -6

x = -1

f(x) = mx + c

f(-1) = 0 x -1 + c

-6 = 0 + c

c = -6

Now,

f(x) = -6

Thus,

The function f is a constant function.

f(x) = -6

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The domain  -∞ ≤ x ≤ +∞ and range is -3≤ x ≤ 1.

All input values shown on the x-axis make up a graph's domain. The y-axis on a graph represents the possible output values, or range.

The domain would be determined by the set of all x-coordinates at all curve points, and the range would be determined by the set of all y-coordinates at all curve points. Both a set and an interval can be used to express each domain and range.

According to the domain is

from -∞ on left side and reaches to +∞ on the right side

So, domain is -∞ ≤ x ≤ +∞

Now, the range of the graph is -3 to 1

So, -3≤ x ≤ 1

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Answer:

yes because it can be written as a fraction (25/1)

Step-by-step explanation:

Step 1: Estimate

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2.

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2.

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: Divide

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: Average

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: Repeat

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3.

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3.

Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3. You should get a final answer of 3.16.

Answer: -57

Step-by-step explanation: 21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, -36, -39, -42, -45, -48, -51, -54, -57

It is decreasing by 3 each turn. Therefore, the 27th term would be -57.

Answer:

a) 245$

b) 8 hours

Step-by-step explanation:

a) 7 hours x 35$ = 245$

b) 252$ - 40$ (because the fixed charge isn't related to the hours.

=212$ for how many hours?

divide 212 by 26.50$

212/26.5= 8 hours

Answer:

see explanation

Step-by-step explanation:

(a)

7 × $35 = $245 ← amount painter gets paid

(b)

Subtract the fixed charge of $40 from the payment

$252 - $40 = $212

now divide this amount by hourly rate for hours worked.

$212 ÷ $26.50 = 8 hours worked

The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

The potential energy of the roller coaster at the top of the hill can be calculated as:

PE = mgh

where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:

PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)

At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:

\(KE = (1/2)mv^2\)

where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:

\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)

Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.

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Answer:

deductive reasoning

Step-by-step explanation:

Nick is reasoning from one or more statements to reach a logical conclusion.

Answer:

1.80

Step-by-step explanation:

1.30x7=9.10

1270-910=360

2kg of apples - 3.60

360/2=180

Answer: q=4

Step-by-step explanation:

Answer:

-2 leis.

Step-by-step explanation:

212 * 14 = 2,968 leis

2,968/30 = 99 boxes

99*30=2970

2968-2970=-2

There is a problem with the wording of this question. There isn't a total so it's really confusing...

The value of y in the right triangle is 9.3 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the value of y in the right angle triangle.

Using trigonometric ratios,

sin 51 = opposite / hypotenuse

sin 51 = y / 12

cross multiply

12 sin 51  =y

y = 12 × 0.77714596145

y = 9.32575153748

y = 9.3 units

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Answer:

750

Step-by-step explaintion

150, 300, 450, 600, 750

250, 500, 750

375, 750

Answer:750

Step-by-step explanation:

Julian’s data shows that the recent seasons’s average jeans price is not $75.

Julian is a manager at a clothing store for teens.

He is analyzing the order for next season.

The average price is the mean price of an asset or security observed over some period of time

data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5.

however, Julian thinks the average may have changed due to a recession.

The answer is A).

Julian’s data shows that the recent seasons’s average jeans price is not $75.

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Answer:

Julian’s data shows that the recent seasons’ average jeans price is not $75.

Step-by-step explanation:

edge 2022

Answer:

12m

Step-by-step explanation:

Answer:

1720

Step-by-step explanation:

Move decimal 3 places to the right

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

12 started at  the x axis

and 5 started at the y axis

^_^:-D:-)☆*: .｡. o(≧▽≦)o .｡.:*☆(●'◡'●)(❁´◡`❁)ᓚᘏᗢ( •_•)>⌐■-■

hope i helped you

Answer:

Result: 95040 foot/minute = 1080 mile/hour, so the answer is 95040

The conditions at the bottom of the Mariana Trench are vastly different from those in a typical bathtub. The water pressure at that depth is extreme, with over 8 tons of pressure per square inch. In contrast, the water pressure in a bathtub is negligible. Additionally, the water in the Mariana Trench is near freezing, while the water in a bathtub is typically warm or hot. Overall, the conditions in the Mariana Trench are incredibly harsh and inhospitable, making it one of the most extreme environments on Earth.
The Mariana Trench is the deepest part of the ocean at 39,069 feet. The conditions there differ significantly from those in your bathtub. In the Mariana Trench, the water pressure is incredibly high, reaching over 1,000 atmospheres. The temperature is near freezing, ranging from 34-39°F (1-4°C). In contrast, the conditions in your bathtub usually involve much shallower water, lower pressure, and warmer temperatures for a comfortable bathing experience.

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Answer:

-1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-1

Answer:

C. Multiply her answer by –6 and see if the result is –108.

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

hope this helps c: