how do solve this ??????​

The graph of the inequality is added as an attachment

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

y > -4

The above expression is an inequality that implies that

The value of y exceeds -4

Next, we plot the graph

See attachment for the graph of the inequality

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The product of the rational expression is

To find the product of the given rational expressions, we need to multiply the numerators and denominators separately and simplify the result as much as possible.

(7x/(x+3)) * ((x+1)/(x-3))

= (7x * (x+1))/((x+3) * (x-3))

Now, we can simplify the numerator by multiplying out the expression in parentheses:

7x * (x+1) = 7x^2 + 7x

The denominator can be simplified by using the difference of squares factorization:

(x+3) * (x-3) = x^2 - 9

Putting these together, we have:

= (7x^2 + 7x) / (x^2 - 9)

This is the simplified product of the given rational expressions.

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Answer:

3m − 5

Step-by-step explanation:

Answer:

3m - 5

Step-by-step explanation:

Answer:

Slope = 1, y-intercept = (0,7)

Step-by-step explanation:

Answer:

bigger

Step-by-step explanation:

Answer:

Bigger

Step-by-step explanation:

-3.8 is bigger because negative numbers closer to 0 are actually bigger than negative numbers farther away.

If \(-4\frac{1}{2}\) is broken down into simpler form it becomes -9/2 which reduces to -4.5 in decimal form. -4.5 is farther away from 0 on a number line thus it is smaller. Thus -3.8 > -4.5

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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the 3 D'E=3DE i think that is the correct answer

The equation of the polynomial is P(x) = 1/27(x + 3)(x + 2)(x - 1)(x - 3)^2

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

The graph

On the graph, we have the following readings:

A polynomial is represented as

P(x) = a * (x - zero)^multiplicity

Using the above as a guide, we have the following:

P(x) = a * (x + 3)(x + 2)(x - 1)(x - 3)^2

The y-intercept is 2

So, we have

a * (0 + 3)(0 + 2)(0 - 1)(0 - 3)^2 = 2

This gives

a = -1/27

Hence, the expression is P(x) = 1/27(x + 3)(x + 2)(x - 1)(x - 3)^2

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Answer:

The scouts hiked up the mountain in 1 mile.

Step-by-step explanation:

Answer:

All pairs are congruent, ANSWER CHOICE E

Step-by-step explanation:

Congruent shapes are exactly equal in shape and size. As you can see, The pairs are congruent, just flipped or rotated.

Answer:

9

Step-by-step explanation:

Answer:23

Step-by-step explanation:0.29 times 79 since 0.29 equals 22.91 we can estimate that renee will be on time to class about 23 times out of 79

Answer:

that is your answer 10.34

Answer:

12,664

Step-by-step explanation:

Therefore , the solution of the given problem of angles comes out to be  M∠R measured at 45.4 degrees, to the closest tenth.

The intersection of the lines that form a skew's ends determines the size of its biggest and smallest walls. There's a possibility that two paths will intersect at a junction. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

To determine the size of angle R in triangular PQR, we can apply the Law of Cosines:

=> cos(R) = (PQ₂ + PR₂ - QR₂) / (2 * PQ * PR)

=>  cos(R) = (5.4₂ + 6.2₂ - 3.6₂) / (2 * 5.4 * 6.2)

=>  cos(R) = 0.6960917

When we calculate the inverse cosine of both sides, we obtain:

=>  R = cos⁻¹(0.6960917)

=>  R equals 45.4 degrees

Angle R in triangle PQR is therefore measured at 45.4 degrees, to the closest tenth.

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the domain for a rational expression will be the values of "x" that can safely be taken without setting the denominator to 0, since if that occurs the rational becomes undefined, well we can simply set the denominator to 0 and check which values are those.

\(\cfrac{x^2-x-20}{5x^2+18x-8}\implies \cfrac{(x-4)(x-5)}{(x+4)(5x-2)} \\\\\\ \stackrel{\textit{setting the denominator to 0}}{(x+4)(5x-2)=0}\implies x= \begin{cases} -4\\ \frac{2}{5} \end{cases}~\hfill \stackrel{\mathbb{DOMAIN}}{\{x|x\in \mathbb{R};x\ne -4,\frac{2}{5}\}}\)

Answer:

Step-by-step explanation:

Base perimeter: 5 x 2 x π = 10π

LA = 10π x 2 = 20π

Base area : 5^2π = 25π

SA = 25π x 2 + 20π = 70π

V : 25π x 2 = 50π

a) The completed table is given in the image attached below:

b) The ratio of the number of cups of orange juice to the number of cup of lemonade is 3:1.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a/b, where b does not equal zero.

Given that, to make fruit punch, one cup of lemonade is used with three cups of orange juice.

So for 6 cups of orange juice, 2 cups of lemonade are needed.

For 3 cups of lemonade, 9 cups of orange juice are required.

For 15 cups of orange juice, 5 cups of lemonade are needed.

For 6 cups of lemonade, 18 cups of orange juice are needed.

For 30 cups of orange juice, 10 cups of lemonade are needed.

For 20 cups of lemonade , 60 cups of orange juice are needed.

Let's consider L as number of cups of lemonade and O as number of cups of orange juice.

Then the ratio of the number of cups of orange juice to the number of cups of lemonade is given by

\(\frac{O}{L} = \frac{3}{1}\)

Hence, 3:1 is the ratio of the number of cups of orange juice to the number of cups of lemonade. The given table is completed and shown in the attachment.  

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Answer:

162.5

Step-by-step explanation:

2600/16=

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

9(1 + x + y)

Step-by-step explanation:

\( \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}\)

Answer:

418 cm2

Step-by-step explanation:

Divide the figure into a square and a triangle. Find the area of each and add. Make sure you do not combine them, and do one at a time.

s2 = area of square

192 = 361 cm

BH= area of triangle

(6)(19) = 57 cm2

361 + 57 = 418 cm

Answer:

c= 418cm2

Step-by-step explanation:

good bye now human

The dairy farmer should use 400 pounds of the 75% protein supplement and 800 pounds of the 30% protein ration to make 1200 pounds of a high-grade 45% protein ration.

To determine how many pounds of each protein supplement the dairy farmer should use, we can set up a system of equations based on the given information.

Let's denote the following:

x = pounds of the 75% protein supplement

y = pounds of the 30% protein ration

The total weight of the mixture is 1200 pounds, so we have the equation:

x + y = 1200

The protein content in the mixture should be 45% of the total weight, so we have the equation:

0.75x + 0.30y = 0.45 * 1200

Now we can solve this system of equations.

First, let's rewrite the second equation in decimal form:

0.75x + 0.30y = 540

To make it easier to work with, we can eliminate the decimals by multiplying both sides of the equation by 100:

75x + 30y = 54000

Now we have a system of equations:

x + y = 1200

75x + 30y = 54000

We can solve this system using any appropriate method, such as substitution or elimination. In this case, let's use the substitution method:

Solve the first equation for x:

x = 1200 - y

Substitute the value of x into the second equation:

75(1200 - y) + 30y = 54000

Simplify and solve for y:

90000 - 75y + 30y = 54000

-45y = -36000

y = 800

Now we can substitute the value of y back into the first equation to find x:

x + 800 = 1200

x = 1200 - 800

x = 400

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Answer: 388.1ft2

Step-by-step explanation: 10 x 8.9

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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The solution for y in sqrt(2x + y - 3z) = 5 is y = -2x + 3z + 25. Option A

To solve for y in the equation: sqrt(2x + y - 3z) = 5,

we need to isolate y on one side of the equation by squaring both side of the equation

=(sqrt(2x + y - 3z))^2 = 5^2

=2x + y - 3z = 25

We can solve for y by subtracting 2x and adding 3z to both sides:

y = 25 - 2x + 3z

y = -2x + 3z + 25

Therefore, the solution for y is y = -2x + 3z + 25

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Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)