HELP ASAP!!!!!!!!!!!!!!

Answer:

Step-by-step explanation:

Answer:

\((f+g)(x)=4x+1\)

Step-by-step explanation:

We are given the two functions:

\(f(x)=x-4\text{ and } g(x)=3x+5\)

And we want to find:

\((f+g)(x)\)

This is equivalent to:

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

By substitution:

\(=(x-4)+(3x+5)\)

Rearranging yields:

\(=(x+3x)+(-4+5)\)

Combine like terms:

\(=4x+1\)

Hence:

\((f+g)(x)=4x+1\)

Answer:

please refer to the above attachment

\( \boxed{(4x + 1) \: is \: the \: right \: answer.}\)

Answer:

D

Step-by-step explanation:

The mode of a set of numbers is the number that occurs the most.

For A, the mode is 3. For B, the modes are 4,5, and 6 . For C, the mode is 4. For D, the mode is 11.

The largest of these modes is 11, so the answer is D

Answer:

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B

Step-by-step explanation:

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

Answer:

200 miles

Step-by-step explanation:

hope this helps :)

Answer:

Not sure but try

Step-by-step explanation:

1, 6 < 2x

2, c = b2

3, a + g / 5

4, (c^4)7u

5, y > 4(9)

6, e < 10 + p

Answer:

-5 degrees per hour

Step-by-step explanation:

In 10 hours, the temperature dropped -50 degrees (38 + 12, and make it negative because the temperature went down, not up).

So divide -50 by 10

-50/10 = -5

the area of the trapezoidal base of the first prism is 9 square units, and the area of the trapezoidal base of the second prism is 16 square units.

What is Volume of both the trapezoidal prisms?

volume = area of cross section of object*  height of object (A)

V = (1/2) * h * (b1 + b2) * H

For the first trapezoid prism, we have:

24 = (1/2) * 6 * (b1 + b2) * 8

Simplifying this equation, we get:

3 = (b1 + b2)

For the second trapezoid prism, we have:

24 = (1/2) * 8 * (b1' + b2') * 6

Simplifying this equation, we get:

4 = (b1' + b2')

A = (1/2) * h * (b1 + b2)

For the first trapezoidal prism:

A = (1/2) * 6 * 3

A = 9 square units

For the second trapezoidal prism:

A = (1/2) * 8 * 4

A = 16 square units

Therefore, the area of the trapezoidal base of the first prism is 9 square units, and the area of the trapezoidal base of the second prism is 16 square units.

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Answer:

(y+4) /2

Step-by-step explanation:

(y²-16)/(2y+6) × (y+3)/(y-4) =

(y+4)(y-4) / 2(y+3) × (y+3)/(y-4)

=> eliminate all (y-4) and (y+3)

so, we get :

(y+4)/2

ANSWER

EXPLANATION

We want to divide:

by

Let us rearrange:

To do this, we divide each variable (in the long equation) by r(from r - 6), then multiply that by -6 and subtract from the original equation:

Therefore, the answer is:

Answer:

$300

Step-by-step explanation:

If you take 5 and divide it by 150 it give you $30 which then you multiply by 10 to get $300

The function f(x) = (x-2)(x+4) is a quadratic function that can be written in standard form as f(x) = x^2 + 2x - 8.

To graph this function, we can start by finding the vertex, which is located at x = -b/2a = -2/2 = -1, and then plotting a few additional points to determine the shape of the parabola.

To find the y-coordinate of the vertex, we plug x = -1 into the equation and get f(-1) = (-1)^2 + 2(-1) - 8 = -7. So the vertex is at (-1, -7).

We can also find the x-intercepts by setting f(x) = 0 and solving for x:

(x-2)(x+4) = 0

x-2 = 0 or x+4 = 0

x = 2 or x = -4

So the x-intercepts are at (2, 0) and (-4, 0).

To find the y-intercept, we set x = 0 and get f(0) = (0-2)(0+4) = -8. So the y-intercept is at (0, -8).

Now we can plot these points and sketch the parabola:

```

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------+------------> x

|

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The domain of the function is all real numbers, since there are no restrictions on the values that x can take.

To find the range of the function, we can look at the vertex and see that the lowest point on the parabola is at y = -7. Since the parabola opens upward, the range extends from -7 to infinity:

Range: [-7, ∞)

This Took me a long long time

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

 \(\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50\)

That's why above given choice is correct.

Answer:

Step-by-step explanation:

Using proportions, it is found that the total amount of cement, sand, and gavel required is of 55.2 cubic yards.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The decimal equivalent to the mixed number 1 1/2 is given by:

1 + 1/2 = 1 + 0.5 = 1.5.

1.5 times 36.8 cubic yards is:

1.5 x 36.8 = 55.2.

The total amount of cement, sand, and gavel required is of 55.2 cubic yards.

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Jazz music was born out of a mix of different styles of music such as ragtime, blues, work songs, and disco

You spelled ragtime wrong so its Oragtime

Based on the probability scale, the likelihood that flipping a coin would lead it it landing on heads or tails is 1.

When a coin is flipped, there are only two outcomes and these are heads or tails. The coin is land on either a heads or a tails.

This means that the probability of a coin flip ending with either a heads or a tails is a certain event.

The probability scale assigns a 1 to a certain event so the likelihood of a coin landing on heads or tails would have a probability scale of 1.

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Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:

Three to the second power

Step-by-step explanation:

Hey there!

3 square

Can be written as the following,

Three to the second power

Hope this helps :)

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:

78

Step-by-step explanation:

Answer:

triangle a and b

Step-by-step explanation:

because its common knowledge

Answer

\(a=0\), \(b=2\)

\(g_1(x)=\frac{5x}{2}\),  \(g_2(x)=7-x\)

Step-by-step explanation:

Given that

\(\int \int Df(x,y)dA=\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy+\int_5^7\int_0^{7-y} f(x,y)dxdy\; \cdots (i)\)

For the term  \(\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy\).

Limits for \(x\) is from \(x=0\) to \(x=\frac {2y}{5}\) and for \(y\) is from \(y=0\) to \(y=5\)  and the region \(D\), for this double integration is the shaded region as shown in graph 1.

Now, reverse the order of integration, first integrate with respect to \(y\) then with respect to \(x\) . So, the limits of \(y\) become from \(y=\frac{5x}{2}\) to \(y=5\) and limits of \(x\) become from \(x=0\) to \(x=2\) as shown in graph 2.

So, on reversing the order of integration, this double integration can be written as

\(\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy=\int_0 ^2\int _ {\frac {5x}{2}}^5 f(x,y)dydx\; \cdots (ii)\)

Similarly, for the other term  \(\int_5 ^7\int _0 ^ {7-y} f(x,y)dxdy\).

Limits for \(x\) is from \(x=0\) to \(x=7-y\) and limits for \(y\) is from \(y=5\) to \(y=7\)  and the region \(D\), for this double integration is the shaded region as shown in graph 3.

Now, reverse the order of integration, first integrate with respect to \(y\) then with respect to \(x\) . So, the limits of \(y\) become from \(y=5\) to \(y=7-x\) and limits of \(x\) become from \(x=0\) to \(x=2\) as shown in graph 4.

So, on reversing the order of integration, this double integration can be written as

\(\int_5 ^7\int _0 ^ {7-y} f(x,y)dxdy=\int_0 ^2\int _5 ^ {7-x} f(x,y)dydx\;\cdots (iii)\)

Hence, from equations \((i)\), \((ii)\) and \((iii)\) , on reversing the order of integration, the required expression is

\(\int \int Df(x,y)dA=\int_0 ^2\int _ {\frac {5x}{2}}^5 f(x,y)dydx+\int_0 ^2\int _5 ^ {7-x} f(x,y)dydx\)

\(\Rightarrow \int \int Df(x,y)dA=\int_0 ^2\left(\int _ {\frac {5x}{2}}^5 f(x,y)+\int _5 ^ {7-x} f(x,y)\right)dydx\)

\(\Rightarrow \int \int Df(x,y)dA=\int_0 ^2\int _ {\frac {5x}{2}}^{7-x} f(x,y)dydx\; \cdots (iv)\)

Now, compare the RHS of the equation \((iv)\) with

\(\int_a^b\int_{g_1(x)}^{g_2(x)} f(x,y)dydx\)

We have,

\(a=0, b=2, g_1(x)=\frac{5x}{2}\) and \(g_2(x)=7-x\).

The required values are,

\(a=0\\b=2\\g_1(x)=\frac{5x}{2} \\g_2(x)=7-x\)

Double integral is mainly used to find the surface area of a 2d figure, and it is denoted using ‘ ∫∫’. We can easily find the area of a rectangular region by double integration.

Given function is,

\(\int \int_Df(x,y)dA=\int_{0}^{5}\int_{0}^{2y}f(x,y)dxdy+\int_{5}^{7}\int_{0}^{7-y}f(x,y)dxdy\)

We can write the double integral as a single term by reversing the order as,

\(\int_{a}^{b}\int_{g_1(x)}^{g_2(x)}f(x,y)dydx=\int_{0}^{2}\int_{\frac{5x}{2}}^{7-x}f(x,y)dydx)\)

The region D is attached below.

Hence, we get the values,

\(a=0\\b=2\\g_1(x)=\frac{5x}{2} \\g_2(x)=7-x\)

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

a) Composite function fog(x) = 3/(x+3)

b) Domain of fog(x) in interval notation = (-∞,-3)∪(-3,∞)

A function is a process or a relation that associates each element 'a' of a set A , to a single element 'b' of another set B.

Given functions,

f(x) = x/(x+2)

g(x) = 6/x

a) (fog)(x) = f(g(x))

= f(6/x)

= (6/x)/((6/x) + 2)

= 6/x((6/x) + 2)

= 6/(6 + 2x)

= 3/(x+3)

fog(x) = 3/(x+3)

b) Domain of (fog)(x)

y = 3/(x+3)

For domain y = 0

⇒ x+3  = 0

⇒ x  = -3

But the function gets undefined for x = -3

So, Domain x ≠ -3

⇒ x > -3 or x < -3

Domain set Interval Notation : (-∞,-3)∪(-3,∞)

Hence, value of composite function

fog(x) = 3/(x + 3)

Domain of fog(x) : (-∞,-3)∪(-3,∞)

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Answer:

3x^2 - x - 10

Step-by-step explanation:

Foil (First, outside, inside, last)

3x^2 + 5x + -6x - 10

combine like terms

3x^2 - x - 10

Answer:

False. The product of two negative integers is a positive integer.

We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.

To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.

Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

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Answer:

x=-6

Step-by-step explanation:

3x+4=2

3x=2-4

x=-2*6

x=-6

Answer:

3x+4=2

Sub 4

3x=-2

Divide 3

-2/3 or -0.67