4x+5=2x+6 (what is x?)

The inequality equivalent to -x < 8 is x > -8.

Option D is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

-x < 8

Interchange < with > and divide both sides by a negative sign.

x > -8

Thus,

x > -8 is equivalent to -x < 8.

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So x 2x are the sides using Pythagorean theorem x^2 + (2x)^2= 5x^2

So the side is the square root of 5x^2 so now we have the third side

The sum of the sides should add to 28 so:

X+2x+√5x=28 factor the x

X(3+√5)=28 and we know √5=2.236

So x= 28/5.236= 5.347

To find the lengths of all three sides of the right triangle, set up two equations using the given information and the Pythagorean theorem. Solve these equations to find the values of x and the lengths of the other two sides.

Let x be the length of the shorter side of the right triangle. According to the problem, the longer side is twice as long as the shorter side, so its length is 2x. The perimeter of the triangle is given as 28, so we can set up the equation x + 2x + hypotenuse = 28. Using the Pythagorean theorem, we know that the sum of the squares of the two legs is equal to the square of the hypotenuse, so we can write another equation x^2 + (2x)^2 = hypotenuse^2. Solving these two equations will give us the lengths of all three sides of the triangle.

From the perimeter equation, we have x + 2x + hypotenuse = 28. Simplifying, we get 3x + hypotenuse = 28. Rearranging, we get hypotenuse = 28 - 3x.

Substituting this into the Pythagorean theorem equation, we have x^2 + (2x)^2 = (28 - 3x)^2. Simplifying and solving this equation will give us the value of x, which we can then use to find the lengths of the other two sides of the triangle.

Answer:

21499.4 in³

Step-by-step explanation:

1. Find the area of the face:

a. Triangle: 1/2*b*h = 1/2*30*15 = 225 in²

b. Rectangle: b*h = 22*30 = 660 in²

c. Semi-circle: 1/2*πr² = 1/2*π*(d/2)² = 1/2*3.14*11² = 189.97 in²

d. Total: 225 + 660 + 189.97 = 1074.97 in²

2. Find height: 20 in

3. Find volume: 1074.97*20 = 21499.4 in³

Check the picture below.

so, the composite is really, a triangular prism on top of a rectangular prism with a semi-circle.

now, if we can just get the volume of each individual solid, then we're golden.

for the triangular prism, its volume is simply the triangular face's area times the length, in this case 20.

for the rectangular prism, is the same, the rectangular face's area times the length.

now, for the semicircle is the same, let's recall, the area of a full circle is πr², so the area of half a circle is (πr²)/2.  Notice in the picture, the semi-circle has a radius of 11.

[tex]\bf \stackrel{\textit{area of the triangle}}{\left[\cfrac{1}{2}(30)(15) \right]}(\stackrel{\textit{length}}{20})~~+~~ \stackrel{\textit{rectangle's area}}{(22\cdot 11)}(\stackrel{\textit{length}}{20})~~+ \stackrel{\textit{semi-circle's area}}{\left(\cfrac{\pi 11^2}{2} \right)}(\stackrel{\textit{length}}{20}) \\\\\\ 4500+4840+1210\pi \implies \stackrel{\pi =3.14}{13139.4}[/tex]

Answer:

243

Step-by-step explanation:

Step 1:

Find the volume of each square: do 3/4*3/4*3/4.

Each square's volume is 27/64.

Step 2:

Find the volume of the cube.

Multiply 8*6*12.

8*6*12=576.

Step 3:

Do 576*27/64.

576*27/64=243.

HEYA

since perimeter of ΔABC=27.6cm

AB=9.6cm

BC=6cm

therefore AC= 12cm

[tex]27.6cm - 9.6cm - 6cm = 12cm[/tex]

since ΔABC~ΔBCD

therefore the sides will be proportional

let the perimeter of ΔBCD=x

[tex] \frac{9.6}{6} = \frac{27.6}{x} [/tex]

[tex]x = \frac{27.6 \times 6}{9.6} cm[/tex]

x=17.25cm

hope it helps you mate thanks for the question and if possible please mark it as brainliest

Answer:

You need to multiply the polynomials. Please see attached picture for answer.

= 4x ^4 + -10x^3 + 15x^2 + 7x +5

Step-by-step explanation:

You need to multiply each term step by step

(4x ^2+2x+1)*(x^2) + (4x ^2+2x+1)*(-3x) + (4x ^2+2x+1)*5

= (4x ^4 + 2x^3 +x^2) + (-12x ^3 - 6x^2 -3x) + (20x ^2+10x+5)

= 4x ^4 + -10x^3 + 15x^2 + 7x +5

answer is B and it is the answer no questions asked hands down im the smartest person in the world

Answer:

B.

NEXT SLIDE:

A.

then

A, D.

then

A.

that's all i have time for. (im doing the assignment rn, but i have to log out and eat dinner! byeeee!)

Step-by-step explanation:

Good Luck Catching up fellow Edge people!!!

the answer is D. (4.24,pi/4)

The mistake in the table is located at point [tex](r, \theta) = \left(4.24, \frac{\pi}{4} \right)[/tex].

In this question we must evaluate the function [tex]r(\theta) = 1 + 2\cdot \sin \theta[/tex], where [tex]\theta[/tex] in radians, for all [tex]\theta[/tex] set in the table and looks that all values of [tex]r[/tex] match with all corresponding values in the table.

According to the table, [tex]r\left(\frac{\pi}{4} \right) = 4.24[/tex] but the evaluation of the function brings out a different result:

[tex]r\left(\frac{\pi}{4} \right) = 1 + 2\cdot \sin \frac{\pi}{4}[/tex]

[tex]r\left(\frac{\pi}{4} \right) = 1 + 2\cdot \left(\frac{\sqrt{2}}{2} \right)[/tex]

[tex]r\left(\frac{\pi}{4} \right) = 1 + \sqrt{2}[/tex]

[tex]r\left(\frac{\pi}{4} \right) \approx 2.414[/tex]

The mistake in the table is located at point [tex](r, \theta) = \left(4.24, \frac{\pi}{4} \right)[/tex]. [tex]\blacksquare[/tex]

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To solve the data distribution problem among four devices, we use a system of equations representing the conditions given for the data storage among devices A, B, C, and D. By expressing all variables in terms of the amount on device B and solving, we determine the data distribution to be 35 GB, 70 GB, 105 GB, and 15 GB for devices A, B, C, and D respectively.

Solving the Data Distribution Problem

Let's represent the amount of data on devices A, B, C, and D as a, b, c, and d respectively. Given that the total amount of data is 225 GB, we have:

From these equations, we can express everything in terms of b and subsequently find the values of a, b, c, and d. To demonstrate, let's substitute (2) and (3) into (1) and solve for b:

Now, using equation (3), we can express d in terms of b and substitute into (5):

Substitute c from (3) into (4), and then d from (6) into the result:

Simplify (7) and solve for b:

We calculate a = 35GB, b = 70GB, c = 105GB, and d = 15GB. These are the amounts of data on devices A, B, C, and D respectively.

Devices A, B, C, and D contain approximately 9.0 GB, 18.1 GB, 157.4 GB, and 13.4 GB, respectively.

Let's denote:

- The amount of data on device A as [tex]\(x\)[/tex] GB.

- The amount of data on device B as [tex]\(y\)[/tex] GB.

- The amount of data on device C as [tex]\(z\)[/tex] GB.

- The amount of data on device D as [tex]\(w\)[/tex] GB.

Given:

1. [tex]\(x = \frac{1}{2}y\)[/tex]

2. [tex]\(z = 5(y + w)\)[/tex]

3. [tex]\(2z + 4w = 500 - y\)[/tex]

We know that the total amount of data on all devices is 225 GB:

[tex]\[x + y + z + w = 225\][/tex]

We'll use these equations to solve for [tex]\(x\), \(y\), \(z\), and \(w\)[/tex].

Substituting [tex]\(x = \frac{1}{2}y\)[/tex] into the equation for the total amount of data:

[tex]\[\frac{1}{2}y + y + z + w = 225\][/tex]

[tex]\[y + 2y + z + w = 225\][/tex]

[tex]\[3y + z + w = 225\][/tex]

[tex]\[y = \frac{225 - z - w}{3}\][/tex]

Now, we'll use this expression for [tex]\(y\)[/tex] to rewrite the other equations:

From equation 2:

[tex]\[z = 5\left(\frac{225 - z - w}{3} + w\right)\][/tex]

[tex]\[z = \frac{5}{3}(225 - z - w) + 5w\][/tex]

[tex]\[z = \frac{5}{3}(225) - \frac{5}{3}z - \frac{5}{3}w + 5w\][/tex]

[tex]\[z + \frac{5}{3}z + \frac{5}{3}w = \frac{5}{3}(225) + 5w\][/tex]

[tex]\[\frac{8}{3}z + \frac{5}{3}w = \frac{1125}{3} + \frac{15}{3}w\][/tex]

[tex]\[8z + 5w = 1125 + 15w\][/tex]

[tex]\[8z = 1125 + 10w\][/tex]

[tex]\[z = \frac{1125 + 10w}{8}\][/tex]

From equation 3:

[tex]\[2z + 4w = 500 - \frac{225 - z - w}{3}\][/tex]

[tex]\[2z + 4w = 500 - \frac{225}{3} + \frac{1}{3}z + \frac{1}{3}w\][/tex]

[tex]\[2z + \frac{1}{3}z + \frac{1}{3}w + 4w = \frac{1500 - 225}{3}\][/tex]

[tex]\[2z + \frac{1}{3}z + \frac{13}{3}w = \frac{1275}{3}\][/tex]

[tex]\[\frac{7}{3}z + \frac{13}{3}w = \frac{1275}{3}\][/tex]

[tex]\[7z + 13w = 1275\][/tex]

[tex]\[7\left(\frac{1125 + 10w}{8}\right) + 13w = 1275\][/tex]

[tex]\[7(1125 + 10w) + 104w = 10200\][/tex]

[tex]\[7875 + 70w + 104w = 10200\][/tex]

[tex]\[174w = 2325\][/tex]

[tex]\[w = \frac{2325}{174}\][/tex]

[tex]\[w = 13.4\][/tex]

Substituting [tex]\(w = 13.4\)[/tex] into the equation for [tex]\(z\)[/tex]:

[tex]\[z = \frac{1125 + 10(13.4)}{8}\][/tex]

[tex]\[z = \frac{1125 + 134}{8}\][/tex]

[tex]\[z = \frac{1259}{8}\][/tex]

[tex]\[z = 157.375\][/tex]

Substituting [tex]\(w = 13.4\)[/tex] into the expression for [tex]\(y\)[/tex]:

[tex]\[y = \frac{225 - z - w}{3}\][/tex]

[tex]\[y = \frac{225 - 157.375 - 13.4}{3}\][/tex]

[tex]\[y = \frac{54.225}{3}\][/tex]

[tex]\[y = 18.075\][/tex]

Substituting [tex]\(y = 18.075\)[/tex] into the equation for [tex]\(x\)[/tex]:

[tex]\[x = \frac{1}{2}y\][/tex]

[tex]\[x = \frac{1}{2}(18.075)\][/tex]

[tex]\[x = 9.0375\][/tex]

So, the amount of data on each device is approximately:

- Device A: [tex]\(9.0\)[/tex] GB

- Device B: [tex]\(18.1\)[/tex] GB

- Device C: [tex]\(157.4\)[/tex] GB

- Device D: [tex]\(13.4\)[/tex] GB

Answer:

[tex]\frac{x}{x(x - 6)}\\\\\frac{1}{x-6}[/tex]

6 is excluded

Step-by-step explanation:

The expression [tex]\frac{x}{x^2 - 6x}[/tex] can be simplified by factoring the denominator and dividing out the x term.

x² - 6x = x(x-6)

It simplifies the expression by:

[tex]\frac{x}{x(x - 6)}\\\\\frac{1}{x-6}[/tex]

The excluded value is any value which makes the denominator 0.

x - 6 = 0

x = 6

6 is excluded.

Answer:

The slope would be -0.8 and 5.6 would be the intercept.

Step-by-step explanation:

The constant at the end of the equation is always the intercept.

The coefficient of x is the slope.

This just means that the graph starts at (0. 5.6) and has a rate of change of -0.8 y for every change in x.

Answer: 0.8

Step-by-step explanation:

i guessed and got it correct

The sample results about 0.8% proportion of the population has a favor social network.

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the answer would be 47.5

Answer:

The solution set represented by the following graph is:

                {x | x∈ R, x < -2}

Step-by-step explanation:

Clearly from the figure we could see that the solution set is to the left of ' -2' and excluding the point '-2' since there is a open circle at -2.

This means that -2 is not included in the set.

Also in interval; form the set of points that belong to the solution set are:

                      (-∞,-2)

in set-builder form it is written as:

                      {x | x∈ R, x < -2}

Answer:

Option A.

Step-by-step explanation:

We need to find the solution set represented by the given graph.

From the given figure it is clear that there is an open circle around -2 and shaded region lie left side of -2.

Open circle around -2 represents that -2 is not included in the solution set.

Shaded area towards left of -2 represents that the solution must be less than -2. It means the sign of inequality is "<".

From the given graph it is clear that value of x lie in the interval (-∞,-2). So, the solution set is

[tex]\text{Solution set}=\{x|x\in R,x<2\}[/tex]

Therefore, the correct option is A.

Answer:  $283.94

Step-by-step explanation:

[tex]A=P(1+r)^t\\\\\bullet P=100\\\bullet r=11\% \implies 0.11\\\bullet t=10\\\\\\A=100(1.11)^{10}\\.\ =283.94[/tex]

Answer:

5 withdrawals

Step-by-step explanation:

Since $10.50 ends in $0.50, you know that she must have made at least one $2.50 transaction.

10.50 - 2.50 = 8

8/2 = 4 (she made four $2 transactions)

She made 4 $2 transactions and 1 $2.50 transaction.

4 + 1 = 5

She made 5 transactions total.

a parallel line to that equation will have the same exact slope, so

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

then we're really looking for the equation of a line whose slope is -3, and runs through (-5,-8)

[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = m\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=-3[x-(-5)] \\\\\\ y+8=-3(x+5)\implies y+8=-3x-15\implies y=-3x-23[/tex]

у₁=kx+b; y₂= -3x+5

y₁||y₂⇒ k= -3; y₁= -3x+b

-8 =-3*(-5)+b

-8=15+b

-23=b

y₁= -3x-23

Answer:

a⁻⁵

Step-by-step explanation:

1/a²·1/a³

Multiply numerators and denominators

= (1 × 1)/(a² × a³)

= 1/a⁵

= a⁻⁵

Answer:  3x+6y=22

6x+12y=44

Step-by-step explanation: my math teacher told me

3x+6y=22 and 6x+12y=44 system of linear equations have an infinite number of solutions.

A system of linear equations will have an infinite number of solutions when the equations are the same. That is, when the equations coincide.

Let's take the system,

3x-8y=21

6x-16y=46

Divide the second equation throughout by 2:

We get 3x-8y=23, This is not the same as the first equation. This system does not have infinitely many solutions.

Let's take the system,

3x+6y=22

6x+12y=44

Divide the second equation throughout by 2:

We get 3x+6y=22, This is the same as the first equation. This system has infinitely many solutions.

Let's take the system,

5x+9y=2

10x-14y=48

Divide the second equation throughout by 2:

We get 5x-7y=24, This is not the same as the first equation. This system does not have infinitely many solutions.

Let's take the system,

5x-9y=20

10x+18y=40

Divide the second equation throughout by 2:

We get 5x+9y=20, This is not the same as the first equation. This system does not have infinitely many solutions.

Therefore, we have found the system of equations contained in option B has infinitely many solutions.

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Could you show the graph please?

Answer:

On average, A New Leash on Life Animal Clinic treats more dogs per day than No Ruff Stuff Animal Hospital.

I know this cause I just got it right on I-Ready lol

c ÷ 3.14=d

907.46 ÷3.14= 289

Answer:

Diameter = 289 units

Step-by-step explanation:

A circle has a circumference of 907.46 units

The circumference of a circle is outer boundary.

[tex]\text{Circumference (C)}=\pi d[/tex]

where, d is diameter, C=907.46

Put the value of C

[tex]907.46=\pi d[/tex]

[tex]907.46=3.14\times d[/tex]

[tex]d=289[/tex]

Hence, The diameter is 289 units

Answer:

7

Step-by-step explanation:

Find the greatest common factor of 28 and 35, which is 7. That means that each group will have seven people.

To go more into detail, there will be 4 groups of 6th graders and 5 groups of 7th graders.

Look at the picture.

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

Final answer:

To find the y-intercept of a line, set x to zero in the equation y = mx + b, and the y-intercept is the value of b. To find the x-intercept, set y to zero and solve for x. The intercepts are the coordinates where the line crosses respective axes.

Explanation:

To determine the intercepts of a line, you need to find the points where the line crosses the axes. The y-intercept is the point where the line crosses the y-axis, and it is found when the value of x is 0. If we have a linear equation in the form y = mx + b, the y-intercept is the value of b, which is the y-coordinate when x is zero.

To find the x-intercept, we need to find the value of x when y is zero. This can be done by setting the y-value in the equation y = mx + b to zero and solving for x. The resulting x-value will be the x-coordinate of the x-intercept.

For example, if we have a linear equation y = -2x + 3, the y-intercept occurs when x is zero, which means y = 3. So the y-intercept is (0,3). To find the x-intercept, we set y to 0 and solve for x: 0 = -2x + 3, resulting in x = 1.5. Thus, the x-intercept is (1.5,0).

Answer:

Step-by-step explanation:

each new value is obtained by dividing the previous value by 5.  For example, if we have 125, the next value is 125/5, or 25.

Answer:

Divide the previous value by 5

Step-by-step explanation:

5³, 5², 5¹, 5⁰, 5⁻¹, 5⁻²

The pattern of the exponents is evident that to get the next term, we divide the previous value by 5.

5³, to get 5², we divide 5³ by 5

To get 5¹, we divide 5² by 5 and so on.

Answer:

[tex]\large\boxed{(x+3)^2=x^2+6x+9}[/tex]

Step-by-step explanation:

Use the FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](x+3)^2=(x+3)(x+3)\\\\=(x)(x)+(x)(3)+(3)(x)+(3)(3)\\\\=x^2+3x+3x+9\qquad\text{combine like terms}\\\\=x^2+(3x+3x)+9\\\\=x^2+6x+9[/tex]

You can use

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](x+3)^2=x^2+2(x)(3)+3^2=x^2+6x+9[/tex]

Answer:

50 miles per hour

Step-by-step explanation:

Here,

Time=  8 hours

Distance=400 miles

The speed is calculated by dividing the distance by time.

So,

Average Speed=Distance/Time

=  400/5

=50 miles per hour

The average speed of the Amtrak train traveling from Los Angeles to San Francisco, which is a distance of 400 miles in 8 hours, is 50 miles per hour.

The subject of this question is Mathematics, specifically involving the concept of speed which is a part of physical science and physics. To find the average speed of the Amtrak train, we need to divide the total distance traveled by the time taken for the journey. The total distance from Los Angeles to San Francisco is given as 400 miles, and the time taken is 8 hours.

To calculate the average speed, use the formula:

Average Speed = Total Distance / Total Time

Substituting the given values:

Average Speed = 400 miles / 8 hours = 50 miles/hour

Therefore, the average speed of the Amtrak train is 50 miles per hour.

The answers are:

B.   [tex]\frac{-3-\sqrt{29}}{2}[/tex]

C.   [tex]\frac{-3+\sqrt{29}}{2}[/tex]

We can use the quadratic equation to find the two values of x that are roots of the given equation. We must remember that most of the quadratic equations have two roots, however, we could find quadratic equations with just one root or even with no roots, at least in the real numbers.

Quadratic equation:

[tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex]

So,

From the given equation we have:

[tex]a=1\\b=3\\c=-5[/tex]

Substituting it into the quadratic equation to find the roots, we have:

[tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}=\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}\\\\\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}=\frac{-3+-\sqrt{9+20} }{2}\\\\\frac{-3+-\sqrt{29}}{2}[/tex]

So,

[tex]x_{1}=\frac{-3-\sqrt{29}}{2}\\\\x_{2}=\frac{-3+\sqrt{29}}{2}[/tex]

Hence, the correct options are B and C.

Answer:

About 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.

Step-by-step explanation:

(don't worry I guessed and got it correct)

In his experiment, Vector can report that bananas added to cow manure results in more energy production, as indicated by larger balloon growth. However, "he should mention that other factors may also influence the results".

Since the exact data from Vector's experiment isn't provided, I would still be able to draw a generalized conclusion based on the given situation. Vector produced bio-gas from cow manure and bananas, and the growth of balloons served as an indication of energy production. If the balloons corresponding to the banana-mixture bottles grew larger than the manure-only ones, it would imply that adding bananas creates more energy. Increased biogas production can be observed with larger circumference balloons because more gas fills up the balloon, causing it to grow larger. Thus, the experimenting student can report in Biogas Club that using a banana-enhanced biomass recipe for cow manure can potentially increase biogas production. It is, however, crucial to note that various other factors can influence gas production, and it might be beneficial to continue research and experimentation.

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Answer:

x=-4

Step-by-step explanation:

6(2x-1)-12=3(7x+6)

Distribute

12x -6 -12 = 21x +18

Combine like terms

12x-18 = 21x+18

Subtract 12x from each side

12x-12x-18 = 21x-12x+18

-18 = 9x+18

Subtract 18 from each side

-18-18 = 9x+18-18

-36 = 9x

Divide by 9

-36/9 = 9x/9

-4 =x

Answer:

1/2 for or against

Step-by-step explanation:

There is a six sided die so the chance of getting one side is 1/6.

To get the sum for 3 sides, just do 1/6 + 1/6 + 1/6 = 3/6 or 1/2.