ph-drys Inlight 320 +5l=0 Kuta Software - Infinite Algebra 2 Name Sarromtha cebulosa Compound Inequalities Date 319 20 21 Solve each compound inequality and graph its solution. 1) n +15-3 or-4n

Answer:

Step-by-step explanation:

1) y  = 3x + 1

When x = -1 ,   y = 3*(-1) + 1              

                          = -3 + 1

                        y = -2

(-1 , -2)

When x = 0 ,  y = 3*0 + 1

                      y = 1

(0 , 1)

When x = +1 , y = 3*1 + 1

                          = 3 + 1

                       y = 4

(1 , 4 )

Plot these points in the graph and join the points.

2) y = 2x -1

When x = -1 ,         y = 2*(-1) - 1

                                = - 2 - 1

                             y = -3

(-1 , -3)

When x = 0,      y = 2*0 - 1

                        y = -1

(0 , -1)

When x = +1 , y = 2*1 -1

                         = 2 - 1

                       y = 1

(1 , 1)

Answer:

x = 5

Step-by-step explanation:

x = 8 - 3

Thus, x = 5

Step-by-step explanation:

This is probably to make it easier for you to calculate the answer.

Hope this Helps!!! :)

Answer:

In this, 3.695 to 4, the tenths was rounded

Step-by-step explanation:

Let's take this problem step-by-step:

If a line is parallel to each other:

 ⇒ their slope must be equal

Thus the line parallel to: \(y=\frac{3}{4}x-4\)

 ⇒ that line's slope: 3/4

The point-slope form is: \((y-y_1)=m(x-x_1)\)

Let's put that line into the point-slope form:

 \((y-7)=\frac{3}{4}(x+1)\)  <== Answer

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Answer:

\(y - 7 = \frac{3}{4} (x+1)\)

Step-by-step explanation:

We are given the equation y = 3/4x-4, and we want to write an equation of a line that is parallel to y=3/4x-4, and that also passes through (-1, 7), in point-slope form.

Point-slope form is written as \(y-y_1=m(x-x_1)\), where \(m\) is the slope, and \((x_1, y_1)\) is a point

If two lines are parallel to each other, it means they have the same slope.

The line y = 3/4x-4 is written in the form slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.

As 3/4 is in the place of where m is, 3/4 is the slope of this line.

It is also the slope of our new line.

So we can substitute 3/4 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=\frac{3}{4} (x-x_1)\)

Now, we need to replace the values of \(x_1\) and \(y_1\) with a point.

Since we are given (-1, 7), and that it passes through the line, it means that we can use its values in the equation.

Note that we have subtraction in this equation, so when we use a negative number, we still write the subtraction sign in front of the minus sign the negative number has. Just because the number is already negative doesn't mean we ignore the minus sign the formula gives.

\(y-7=\frac{3}{4} (x--1)\)

We can simplify this equation, as --1 is the same as +1.

\(y-7=\frac{3}{4} (x+1)\)

Answer:

"5", "11", I believe that the answer for the middle option is "neither" or a synonym of that, "5", "11"

Step-by-step explanation:

The text says that there are only 5 pools open on the weekend.

There are a total of 11 pools (8+3).

Both said an incorrect number of total pools, so both are wrong.

The ratio is the number of pools open divided by the number of total pools, or 5/11.

Answer:

1116units²

Step-by-step explanation:

area of trapezium= (a+b)h all over 2

a=38

b=55

h=24

area= (38+55)*24 allover 2

area= 1116units²

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Step 1

To find the systems of equations that has the solution (1,4). The value of x, 1 input into the equations must give 4 as the value of y. We will now test the options.

1) y=-3x-1

2) y=-x+5

3) y=3x+1

4) y=x-5

5) y=-x-5

Answer;

Sebastian's basis in the two assets are: $42,389 and $66,611

The computation of the Sebastian's basis in these two assets is shown below:

= Market value of the first piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($76300 ÷ $(76300 + 119900)) × $109,000

= $42,389

= Market value of the second piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($119,900 ÷ $(76300 + 119900)) × $109,000

= $66,611

The Total market value of two pieces of equipment

= $(76300 + 119900)

= $196,200

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Answer:

85

Step-by-step explanation:

There are three angles in a triangle

Since it is a right triangle one angle is 90 degrees

We are given one angle is 5 degrees

Let the third angle be x

The sum of the angles of a triangle is 180

x+5+90 =180

Combine like terms

x+95 = 180

Subtract 95 from each side

X+95-95 = 180-95

x = 85

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

42

Step-by-step explanation:

42÷6 = 7

If you want to find out on your own, you can do 6 * 7 and get 42

Answer:

Step-by-step explanation:

418 to the nearest ten is 420

384 to the nearest ten is 380

1273 to the nearest ten is 1270

1270-(420+380)=1270-800=470 miles

Answer:

Option (3)

Step-by-step explanation:

Properties of the equal matrices,

1). Every element of the one matrix are equal to the elements of other.

2). Both the matrices have same dimensions.

If,  \(\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}\)

\(x+3=5\)

\(x=2\)

\(y+4=0\)

\(y=-4\)

\(x=-5\)

Therefore, Option (3) will be the correct option.

Answer:

Yes it is a parallelogram because opposite sides of this quadrilateral are equal.

The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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The complete factor is (2x+1)/(2x+1)^2

(2x+1)^-2/3+(2x+1)^1/3

X= 1/(2x+1)^2/3+(2x+1)^1/3

(3)^-2=1/3^2

The complete factor form is

x/(2x+1)^2/3+(2x+1)^1/3

=1 x+(2x+1)^2/3×(2x+1)^1/3/

(2x+1)^2/3

x+(2x+1)^2/3+1/3 =3/3=1

/

(2x+1)^2/3

X+(2x+1)/(2x+1)/(2x+1)^2/3

3x+1/(2x+1)^2/3 (Ans)

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Answer:

Sorry dude, I need more context. Can you write out the full equation if there's more? Sorry.

Step-by-step explanation:

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

The result of adding -4 (row 1) to row 3 is determined as (0  - 9   2)|12.

The resultant of the row multiplication in the Matrice is calculated by applying the following method;

row 1 in the given matrices = [1  2  1] | -5

To multiply row by -4, we will multiply each entity by 4 as shown below;

= -4(1 2  1) | -5

= (-4  -8  - 4) |20

To add the result to 3;

(-4  -8  - 4)|20 + (4  - 1   6) | -8

= (0  - 9   2)|12

Thus, the result of the row multiplication is determined by multiplying each entry in row 1, by - 4.

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Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer: The two numerical expressions that correctly represent the phrase "twice the sum of nine and four" are:

2 * (9 + 4) = 2 * 13 = 26

2(9 + 4) = 2(13) = 26

Both expressions use the correct mathematical operations to represent the phrase "twice the sum of nine and four" and both will yield the same result of 26.

Step-by-step explanation:

If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

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Solution :

Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1

Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the \($S_{k,5}$\) to denote an event of \($k$\) successes in the 5 trails, then the probability k are decoded at the receiver is:

\($P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$\)

           \($=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$\)

           \($=\binom{5}{k}(0.9)^k(0.1)^{5-k}$\)    

Here, k = 1, 2, 3, 4, 5

The probability of the transmitted bit to be decoded correctly is:

\($P[C]=P[S_{5,5}]+P[S_{2,5}]$\)

         \($=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$\)

         \($=(0.9)^5+5(0.9)^4(0.1)^1$\)

         = 0.91854

The probability that the deletion occurs is

\($P[D]=P[S_{3,5}]+P[S_{2,5}]$\)

          \($=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$\)

         \($=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$\)

         = 0.081

The probability of an error is

\($P[E]=P[S_{1,5}]+P[S_{0,5}]$\)

          \($=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$\)

         \($=5(0.9)^1(0.1)^4+(0.1)^5$\)

         = 0.00046

Answer:

x=3

Step-by-step explanation:

5x - 2 = 3x +4

=> 5x - 3x = 4 + 2

=> 2x = 6

=> x = 6/2 = 3