x/6+12=(-12). solve for x

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Answer:

x = 12.

Step-by-step explanation:

5/2x - 7 = 3/4x + 14.

put the like terms together keeping in mind that when a number crosses the equal sign it changes its sign and it acquires the opposite sign.

5/2x - 3/4x = 14 + 7

7/4x = 21.

divide both sides by the reciprocal of 7/4, the number next to the unknown

so x = 21 ×4/7

x = 12.

ANSWER : 4x-3y

EXPLANATION:

The value of x and y in the right triangle are as follows:

x = 6 units

y = 6√3 units

A right angle 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 x and y in the right triangle. Using trigonometric ratios,

sin 60 = y / 12

√3 / 2 = y / 12

cross multiply

2y =12√3

y = 12√3 / 2

y = 6√3

Therefore, let's find x as follows:

cos 60 = adjacent / hypotenuse

1 / 2 = x / 12

cross multiply

12 = 2x

divide both sides by 2

x = 12 / 2

x = 6

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The depth of the pillar after 9 drives will be -23.95.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

A geometric series simply means a series for which a ratio of each two consecutive terms will be a constant function of the summation index .

Since the first drive is 5 feet into the ground and the successive drive is 19% deeper. In this case, the depth of the pillar after 9 drives will be:

= -5 × (1 + 19%)^9

= -5 × 1.19^9

= -5 × 4.79

= -23.95

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Answer:

56 inc

Step-by-step explanation:

Answer:

S=2t

or

T=1/2 S

The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

According to the statement

we have given that the 3 integers are in an arithmetic progression and their product is prime.

And we have to find the sum of their squares.

So, let the three integers which is A, B, C.

And according to the arithmetic progression the

A = x and B = x-d, C = x-2d. here d is the common difference and x is a 1st term.

So, there product is prime

then

(x) (x-d) (x-2d) = c -(1)

And

their sum of square is

(x)^2 + (x-d)^2 + (x-2d)^2 - (2)

So, The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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For a proportional relationship between the volume of flour used (in cups), x, and the number of baked muffins, y, the constant of proportionality is 4.

Constant of proportionality, also known as constant ratio or constant rate, refers to is the ratio that relates two given values in a data set that is represented as a proportional relationship. When two parameters are proportional, either directly or indirectly, the relationship is expressed as a = kb or a = k/b, where k indicates the relationship between the two variables and is known as the proportionality constant. In the given data, the proportionality constant is:

k =b/a = 8/2 =12/3 = 16/4 = 20/4 = 4

Hence, the proportionality constant for the given data is 4.

Notes: The question is incomplete. The complete question is: Brian loves to bake blueberry muffins for his friends and family. There is a proportional relationship between the volume of flour brian uses (in cups), x, and the number of muffins he bakes, y. What is the constant of proportionality. (Refer to the table).

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Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

The final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them.

Let's clarify the itinerary for the 15-day tour visiting 5 national parks.

You have a 15-day tour, and you plan to visit 5 national parks. Each park will have a stay of two days.

When you multiply the number of parks (5) by the number of days spent in each park (2), you get a total of 10 days allocated for staying in those 5 parks.

However, there seems to be a discrepancy in the calculation because allocating 10 days for park stays leaves only 5 days remaining, not 15.

To resolve this issue and ensure a 15-day tour, we need to reevaluate the itinerary. Let's assume you want to spend two days at each park, which gives you a total of 10 days for park stays.

To fill the remaining 5 days, you have a few options:

1. Travel Days: You can allocate a day for travel between each park, which would require an additional 4 days. This accounts for the transportation time and allows you to enjoy the journey between the parks.

2. Additional Park Visits: If there are other nearby national parks or attractions in the area, you can extend your tour to include visits to these places. This would allow you to explore more diverse locations and make the most of your 15-day tour.

3. Rest and Relaxation: Alternatively, you might choose to use the extra days for relaxation or leisure activities. You can spend some time enjoying the amenities and attractions available near the parks, such as hiking trails, wildlife observation, or local cultural experiences.

Ultimately, the final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them. Make sure to consider travel times, desired activities, and any additional locations you wish to explore when creating your 15-day tour.

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Answer:

i may be wrong but itcould be 1/3 butt i dont know ur A.B.C.D

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

First, find 5/8 of 48

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

48

1

So now that we've converted 48 into a fraction, to work out the answer, we put the fraction 5/8 side by side with our new fraction, 48/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

5 x 48/8 x 1 = 240/8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 240 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

240/8 = 30

8/8 = 1

When we put that together, we can see that our complete answer is:

30/1

The complete and simplified answer to the question what is 5/8 of 48 is:

Now that we have found 5/8 of 48. It can be confirmed that Sue gave her sister 30 dolls.

The volume of the solid is cubic units 2966.20.

Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the x-axis. y=e^x,y=0,x=-2, and x=4

The method of disks will be used to obtain the volume of the solid generated by revolving the region about the x-axis.

Volume of the solid generated is given by∫[a,b] π (f(x))² dx, where a = -2, b = 4 and f(x) = e^x.

This formula computes the volume of each disk-shaped slice, which is a disk of radius e^x and thickness dx.

Thus, we use the formula to compute the integral from x = -2 to x = 4.∫[a,b] π (f(x))² dx = ∫[-2, 4] π (e^x)² dx= π ∫[-2, 4] e^(2x) dx

Now integrating, we get:∫[-2, 4] e^(2x) dx = 1/2 (e^8 - e^-4) π

The volume of the solid generated when R is revolved about the x-axis is π(1/2 (e^8 - e^-4)), which is approximately equal to 2966.20 cubic units.

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Answer:  0.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A. 4 2/3

Step-by-step explanation:

4(x-8) > 3 - (2x + 7)

4x-32 > 3 -2x -7

4x - 32 > -4 -2x

6x -32 > -4

6x > 28

divide both sides by 6

6 divide by 6 is 1

28 divide by 6 is simplified to 14/3 which can be changed into a mixed number 4 2/3

Answer: NO

Step-by-step explanation:

1/2 and 7/8 are not equivalent because 1/2 is Half of 1 and 7/8 is most of 1

Answer:

10 seconds, decreasing, standing still

Step-by-step explanation:

The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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The inverse of [3] in (Z/8Z)* is [3] itself and the inverse of [5] in (Z/13Z)* is [8], since [5]*[8] ≡ [1] (mod 13).

(a.) In (Z/8Z)*, we want to find the inverse of [3].

To do this, we need to find an integer x such that [3]x ≡ [1] (mod 8).

We can use trial and error to find such an integer:

[3]² = [9] ≡ [1] (mod 8)

Therefore, the inverse of [3] in (Z/8Z)* is [3] itself, since [3] * [3] ≡ [1] (mod 8).

(b.) In (Z/13Z)*, we want to find the inverse of [5]. To do this, we need to find an integer x such that [5]x ≡ [1] (mod 13).

One way to find such an integer is to use the Extended Euclidean Algorithm:

13 = 52 + 3

5 = 31 + 2

3 = 2*1 + 1

We now work backwards to find the coefficients of the linear combination that gives 1:

1 = 3 - 21

= 3 - (5 - 31)1

= 32 - 5

= (13 - 52) - 5

= 131 - 5*3

Therefore, [5]⁻¹= [8] in (Z/13Z)*, since [5] * [8] ≡ [1] (mod 13).

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The information obtained from these distributions helps us determine the range of values that is likely to include the population mean with a certain level of confidence.

When calculating confidence intervals for quantitative sample data, we obtain important information from both the normal and student's t distribution. Confidence intervals provide a range of values that is likely to include the true population parameter with a certain degree of confidence. The level of confidence is usually set at 95%, but it can be adjusted depending on the desired level of certainty.
The normal distribution is used when the sample size is large (typically more than 30) or when the population standard deviation is known. In this case, we can use the Z-score formula to calculate the confidence interval. The Z-score is the number of standard deviations the sample mean is from the population mean. We use this formula to calculate the range of values that is likely to include the population mean with 95% confidence.
The student's t distribution, on the other hand, is used when the sample size is small (less than 30) and the population standard deviation is unknown. In this case, we use the t-score formula to calculate the confidence interval. The t-score is similar to the Z-score, but it takes into account the smaller sample size and the uncertainty in the population standard deviation.
In summary, the normal and student's t distributions provide us with the formulas to calculate confidence intervals for quantitative sample data.

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An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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The triangular prism has a surface area of 1340 square meters. The answer is 1340 m².

To calculate the surface area of a triangular prism, find the area of all its faces and add them together.

The triangular base has a base of 10 m and a height of 14 m, so its area is:

(1/2) × base × height = (1/2) × 10 m × 14 m = 70 m²

There are two identical triangular faces, so the total area of both is:

2 × 70 m² = 140 m²

The rectangular faces have dimensions of 10 m by 25 m and 14 m by 25 m, so their areas are:

10 m × 25 m = 250 m²

14 m × 25 m = 350 m²

Again, there are two rectangular faces, so the total area of both is:

2 × (250 m² + 350 m²) = 1200 m²

Finally, add the areas of all the faces:

140 m² + 1200 m² = 1340 m²

Therefore, the surface area of the triangular prism is 1340 square meters.

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Answer:

a

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A right angle means that the lines will create an L or X or T when they intersect. This is exactly the definition of perpendicular, that the shapes will intersect and create at least one right angle.

Answer:

If you ever see a little square at the corner of a shape, then you know that not only is this a right angle, and thus, 90 degrees, but that the two lines that form such an angle are perpendicular to one another. Squares and rectangles always have four right angles!

Step-by-step explanation:

The limit of f(x) as x approaches positive infinity and negative infinity is equal to 3/4, and the horizontal asymptote of the function is y=3/4.

The horizontal asymptote of a function is a horizontal line that the function approaches as x approaches infinity or negative infinity.

The function f(x) is given by

=> f(x)= 3x³ + 8/4x³ + √ 64x⁶⁴.

To evaluate the limits, we need to consider what happens as x approaches positive infinity and negative infinity.

In this case, as x approaches positive infinity or negative infinity, the x³ term in the numerator and denominator will dominate and the limit of the function will be equal to 3/4.

This means that the function has a horizontal asymptote of y=3/4.

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If the original price of the football is $22.00, and the store is offering a 20% discount, then the new price of the football before tax would be:

New price before tax = Original price - Discount

= $22.00 - (20% x $22.00)

= $17.60

Now, we need to calculate the price of the football after adding the sales tax of 5%. To do this, we can calculate the amount of sales tax first, and then add it to the new price before tax:

Sales tax = 5% x $17.60

= $0.88

Price after tax = New price before tax + Sales tax

= $17.60 + $0.88

= $18.48

Therefore, the cost of the discounted football after tax is $18.48.