Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answer:

C.{-1,0,1,2}

Step-by-step explanation:

Step-by-step explanation:

what help do you need????

Answer:

i believe the answer is 569/115

Answer:

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that

chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function

must be a real number, the following conditions are commonly checked:

1. Denominators cannot equal 0.

2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)  

cannot have a negative value.

3. Logarithms can only be taken of positive values.

4. In word problems physical or other real-life restrictions might be imposed, e.g. time is  

nonnegative, number of items is a nonnegative integer, etc.

Answer:

the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers

i hope this helps

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

6 - 7x = 7x - 9x - 4

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

6 - 7(2) = 7(2) - 9(2) - 4

6 - 14 = 14 - 18 - 4

-8 = -4 - 4

-8 = -8

Answer:

A

Step-by-step explanation:

saw it in the other post

Answer:A

Step-by-step explanation:

be

An algebraic expression that represents the number of crayons that Jeremiah has is: B. 2s + 3.

In order to write an equation that model this situation, we would assign variables to the total number of pencils that Jeremiah has and the total number of pencils that Spencer has respectively, and then translate the word problem into algebraic equation as follows:

Since Jeremiah has three more than twice as many pencils as Spencer, a linear equation that models this situation correctly include the following:

J = 2s + 3

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Step-by-step explanation:

problem 1.

1. 6y = 30

2. y = 5

3. 3x + 2(5) = 16

4. 3x+10=16

5. 3x=6

6. x=2

solution: (2,5)

problem 2.

1. x=7

2. 4(2)-2y=18

3. 28-2y=18

4. -2y= -10

5. y=5

solution (7,5)

problem 3

10x=10

x=1

7(1) +y =-2

y=-9

(1,9)

problem 4

0= -6

no solution

problem 5

0=0

Infinite many

The grape juice does Sarah use for each cup of water is 3/8 cup .

Given :

Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water .

Let x be the grape juice use for each cup of water .

From the given statements :

1 / 4 cup of grape juice = 2 / 3 cup of water

x cup of grape juice = 1 cup of water

1 / 4 / x = 2 / 3 / 1

cross multiplication

1 / 4 * 1 = 2 / 3 * x

1 / 4 = 2x / 3

2x * 4 = 3 * 1

8x = 3

x = 3/8 cup

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The mean of all the sample means (which is equal to the population mean) and the mean of all (N) population observations (X) are both equal to the population mean μ.

The mean of all the sample means of a given population is equal to the population mean, which is denoted by the symbol μ. This is a consequence of the central limit theorem, which states that the distribution of the sample means becomes approximately normal as the sample size n becomes larger, with mean equal to the population mean μ.

The mean of all (N) population observations (X) is simply the population mean, which is also denoted by the symbol μ. It represents the average value of the variable of interest across all individuals in the population.

Therefore, the mean of all the sample means (which is equal to the population mean) and the mean of all (N) population observations (X) are both equal to the population mean μ.

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Answer:

797.50

Step-by-step explanation:

6* $120.50 = $723

$723 + $74.50 = $797.50

Answer:

If two angles are vertical angles, then they are congruent.

Step-by-step explanation:

If two angles are vertical angles, then they are congruent- this  justifies why ∠FBE measures 50°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

Here, given that,

angles ABD and DBC are complementary

Now, we get,

Hence,  If two angles are vertical angles, then they are congruent- this  justifies why ∠FBE measures 50°.

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Answer:

the question is?

Step-by-step explanation:

Answer:

The solution to the equation is:

Step-by-step explanation:

To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:

And we solve:

As you can see, the solution of the equation is x = 2.5 or x = 5/2

Answer:

10 Apples in each bowl or 10 1/3 but if you need leftover 1 apple left over

Step-by-step explanation:

30/3=10 31/3=10 1/3

Answer:

10 would be in each bowl and 1 apple would be left over

Step-by-step explanation:

To find how many apples will be in each bowl, you need to divide 31 by 10 which gives you 3.1. However, because you can't split the apple there will be 3 apples in each bowl. This also means that 1 apple will be left over. Hope this helps :)

Answer:

C I think

Step-by-step explanation:

The gradient vector ∇f(3,2) is (2,3). To find the tangent line to the level curve f(x,y)=6 at the point (3,2), we use the gradient vector. The tangent line at a given point on a level curve is perpendicular to the gradient vector at that point.

The level curve f(x,y)=6 represents all the points (x,y) in the xy-plane where the function f(x,y) takes the value 6. To sketch the level curve, we plot the points that satisfy f(x,y)=6. In this case, the level curve is a hyperbola with equation xy=6.

To find the tangent line at the point (3,2), we use the gradient vector ∇f(3,2) = (2,3). The slope of the tangent line is given by the ratio of the components of the gradient vector, which is 3/2. Using the point-slope form of a line, the equation of the tangent line is y - 2 = (3/2)(x - 3).

To sketch the level curve, the tangent line, and the gradient vector, we plot the hyperbola xy=6, draw the tangent line through the point (3,2) with slope 3/2, and indicate the gradient vector (2,3) at the point (3,2).

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The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:

Your equation would be 4x2+3 So it would be 11

Step-by-step explanation:

Answer:

56/1230

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

7h-15h+40=-72

-8h=-32

h=4

Answer:

its e

Step-by-step explanation:

because e is is referring to savvy

The value of a and b in terms of equation are; a = 3 + b and b = a + 18.

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given polynomial, h(t) = 2t - at + bt + 4 represents Mr. Bill's height in metres at 't seconds. "-Mr." Bill is rapidly approaching a tall brick wall which is 100 metres high and will reach the wall in 3 seconds.

h = 100 metres

t = 3 seconds

Now substitute the values;

h(t) = 2t - at + bt + 4

100 = 2(3) - a(3) + b(3) + 4

100 = 6 - 3a + 3b + 4

3a + 90 = 3b

We need to find out if Mr. Bill will clear the wall or slam into it!

h(t) = 2t - at + bt+4 has a remainder of 9 when divided by (t-1) and a remainder of "-36" when divided by (t+2).

When t = 1

Then;

h(t) = 2t - at + bt + 4

9 = 2(1) - a(1) + b(1) + 4

9 = 6 - a + b

a = 3 + b

When time t = -2

Then; h(t) = 2t - at + bt + 4

-36= 2(-2) - a(-2) + b(-2) + 4

-36 = -4 + 2a - 2b + 4

-18 = a - b

b = a + 18

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If a lab class conducts a 1000 trial scattering probability experiment. nine marbles were used on a 47.20 cm wide board. The number of hits recorded were 615, the diameter of the marbles is approximately 4.1 cm.

Assuming that the experiment was conducted with the same conditions (e.g. speed, direction) for each trial, we can estimate the diameter of the marbles using the scattering probability and the size of the target area.

The scattering probability is the ratio of the number of hits to the total number of trials. In this case, the scattering probability is:

P = 615/1000 = 0.615

This means that, on average, 61.5% of the marbles that were aimed at the board hit one of the target marbles.

The target area is the area of the board divided by the number of targets. The area of the board is the product of its width and height, which we don't know. However, we can assume that the height of the board is much larger than the diameter of the marbles, so that the height does not significantly affect the scattering probability.

Therefore, we can estimate the target area by dividing the width of the board by the number of targets:

A = 47.20 cm / 9 = 5.2444 cm^2

The target area is the area of one target marble, assuming they are all the same size. The area of a circle is given by:

A = π (d/2)^2

where d is the diameter of the circle.

Solving for d, we get:

d = √(4A/π) = √(4 × 5.2444 cm^2 / π) ≈ 4.1 cm

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The answers of all the parts are solved below:

1. Significant digits:

12.03: 4 significant digits

58.2: 3 significant digits

0.002: 1 significant digit

0.0030: 4 significant digits

0.00050004: 7 significant digits

2: 1 significant digit

2. Conversions:

0.05 km to mm: 0.05 km = 0.05 x 10^6 mm = 50,000 mm

0.15 hm to cm: 0.15 hm = 0.15 x 100 cm = 15 cm

280 dm to dam: 280 dm = 280 x 10 dam = 2,800 dam

500,000 mm to km: 500,000 mm = 500,000/10^6 km = 0.5 km

85 m to hm: 85 m = 85/100 hm = 0.85 hm

3. Significant digits in calculation:

(a) 25.3456 +888.010 + 53.11 + 7-10: 925.456, 4 significant digits

(b) (45.805 * 2.00) / 5.0 + 0.1: 13.52, 4 significant digits

4. Scientific notation with significant digits:

(a) 70,000,000 * 9.8540 * 2.00 * 10^8 = 1.38 x 10^18, 2 significant digits

(b) 8.888 * 10^14 * 4.00 * 10^-6 - 3.0 * 10^7 = 3.555 x 10^7, 4 significant digits

Trigonometry:

Given triangle ABC with angle B = 56, angle C = 35 and side A = 10. To find side B.

Using the law of cosines, B = sqrt(A^2 + C^2 - 2 * A * C * cos(B)) = sqrt(10^2 + 56^2 - 2 * 10 * 56 * cos(56)) = 115, 3 significant digits.

Thus, All the answers are solved above.

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The coordinates of P and Q are

PQ have equal slope with BC so they are parallel

The coordinates of P and Q is found using the midpoint formula

The formula is of the form

X= (x₂ + x₁)/2

Y = (y₂ + y₁)/2

solving for P (X, Y) Using points A(2, -1), B(-3, 4)

(X, Y) = ((2 + -3)/2, (-1 + 4)/2)

= (-1/2, 3/2)

solving for Q (X, Y) points A(2, -1), C(-5,-7)

(X, Y) = ((2 + -5)/2, (-1 + -7)/2)

= (-3/2, -4)

Parallel lines have equal slopes

Using BC = (4 - -7) / (-3 - -5) = 11/2

Using PQ = (-4 - 3/2) / (-3/2 - -1/2) = (-11/2) / (-1) = 11/2

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The 24 meters should the fence be cut up in order to minimize the total area enclosed by the fence

Given that,

The length of fence is 288 meters.

Let us take the size of the smallest square is x , middle square is y and the largest square is z.

Length of the fence is equal to sum of the perimeter of the three square.

4x + 4y + 4z = 288

4(x + y +z) = 288

x + y +z = \(\frac{288}{4}\)

x + y +z = 72 --------> equation(1)

The total area A = x² + y² + z²

Put z = 72 - x - y in A

A = x² + y² + (72 - x - y)²  ---------->equation(2)

Now we have to find the x and y values to minimize A.

\(\frac{dA}{dx} = \frac{d}{dx} [x^2 + y^2 + (72 -x - y)^2]\\\)

\(\frac{dA}{dx}= 2x + 0 +2(72-x-y)(-1)\)

\(\frac{dA}{dx}= 2x - 2(72-x-y)\)

Taking \(\frac{dA}{dx}\) = 0

2x - 2(72 - x - y) = 0

x - 72 + x + y = 0

2x + y - 72 = 0

2x + y = 72 ---------> equation(3)

Now, \(\frac{dA}{dy} = \frac{d}{dy} [x^2 + y^2 + (72 -x - y)^2]\\\)

\(\frac{dA}{dy}= 0 + 2y +2(72-x-y)(-1)\)

\(\frac{dA}{dy}= 2y - 2(72-x-y)\)

Taking \(\frac{dA}{dy}\) = 0

2y - 2(72 - x - y) = 0

y - 72 + x + y = 0

x + 2y - 72 = 0

x + 2y = 72 ---------> equation(4)

Now, equation(3) ×2 and subtracted by equation(4)

4x + 2y = 144

x   + 2y  = 72

-------------------(subtraction)

3x = 72

x = 24

Taking x = 24 in equation(3)

2x + y = 72

2(24) + y = 72

48 + y = 72

y = 72 - 48

y = 24

Substituting y and x in equation(1)

x + y + z = 72

24 + 24 + z = 72

48 + z = 72

z = 72 - 48

z = 24

Therefore, The 24 meters should the fence be cut up in order to minimize the total area enclosed by the fence

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CHECK THE COMPLETE QUESTION BELOW;

Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza with t toppings, her total cost can be found using this expression: 0.90(2.25d + 1.40t + 6). What is the total cost for Lindy and her friends to order 4 drinks and a medium pizza with 3 toppings? A. $17.28 B. $16.52 C. $15.69 D. $28.40

Answer:

OPTION A. is correct

A)$17.28

Step-by-step explanation:

From the question we were giventhis expression as the total cost for all.

0.90(2.25d + 1.40t + 6).

We know that Lindy and her friends to order 4 drinks and a medium pizza with 3 topping

Then we can say d= 4 and t= 3 ,

Then we can substitute into below expresion

0.90(2.25d + 1.40t + 6).

0.90[2.25(4)+1.40(3)+6]

= 0.90[9+4.2+6]

= 17.8

Hence the total cost for Lindy = $ 17.28