y = 2/5x -1/2 + y = -1/3x + 2/3 combine like terms​

Answer:

6 cups

Step-by-step explanation:

Given that:

Volume of water held in cup when full = 125ml

Number of cups it will take to fill a jug which holds 3/4 L

Converting mL to L:

1000 mL = 1 L

Volume of water in cup when full = 125 / 1000 = 0.125 L

Jug which holds 3/4 L = 0.75 capacity

Hence, number of cups it'll take :

0.75 / 0.125

= 6

It will take 6 cups of 125mL to fill 3/4 L

Answer:

x^2 -3x+2

Step-by-step explanation:

(x - 2)(x - 1)

FOIL

first: x*x = x^2

outer: -1*x = -x

inner: -2*x =-2x

Last: -2*-1 =2

Add together

x^2 -x-2x+2

Combine like terms

x^2 -3x+2

\(\huge\textsf{Hey there!}\)

\(\large\textsf{(x - 2)(x - 1)}\)

\(\large\textsf{DISTRIBUTE}\)

\(\large\textsf{x(x) + x(-1) - 2(x) -2(-1)}\)

\(\large\textsf{x(x) = }\mathsf{\bf x^2}\)

\(\large\textsf{x(-1) = -1(x) = \bf -1x}\)

\(\large\textsf{-2(x) = \bf -2x}\)

\(\large\textsf{-2(-1) = \bf 2}\)

\(\mathsf{= \bf x^2 - 1x - 2x + 2}\)

\(\large\textsf{COMBINE the LIKE TERMS}\)

\(\mathsf{(-1x - 2x)}\)

\(\mathsf{= \bf -3x}\)

\(\large\textsf{SOLVE for the ANSWER:}\)

\(\mathsf{x^2 - 3x + 2}\)

\(\boxed{\boxed{\large\text{Answer: }\mathsf{\bf x^2 - 3x + 2}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

Answer:

5 pounds

Step-by-step explanation:

5 pounds is 80 ounces, which is greater then 75 ounces.

Answer:

6.1

Step-by-step explanation:

because the 3 is below 5 so it sticks to 1

The principal amount was invested for 8 Years.

In the given question, it is stated that when $314 was invested as the Principal amount, it got an Interest of $175.84 at an interest rate of 7%. We have to find out the total period of time the principal amount was kept and got interested in in order to complete the interest amount of $175.84.

To calculate the Interest, we know that the formula for Simple Interest is:

=> S.I. = (P*R*T)/100, where P = Principal amount, R = Rate of Interest, and T is the Time period. Now, putting values in the formula we get:

=> S.I. = (P*R*T)/100

=> 175.84 = (314*7*T)/100

=> T = 17584/2198

=> T = 8

Hence, we get Invested Time for 8 years.

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When the above is simplified using Boolean Algebra, we have F = x' + y' + w'xy.

We can simplify  the Boolean function F = xy'z' + xy'z+ w'xy +   w'x'y' + w'xy using the following Boolean Algebra rules.

Absorption - x + xy = x

Commutativity -  xy = yx

Associativity - x(yz) = (xy)z

Distributivity - x(y + z) = xy + xz

Using the above , we   have

F = xy'z' + xy'z+ w'xy + w'x'y' +   w'xy

= xy'(z + z') + w'xy(x + x')

= xy' +  w'xy

= (x' + y)(x' + y')  + w'xy

= x' + y' + w'xy

This means that the simplified expression is F = x' + y' + w'xy.

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Answer:

42 degrees

Step-by-step explanation:

Find opposite side of 132 degrees which is 48. Add 48 and 90 because of right angle to get 138. Then do 180-138 to get 42 degrees for remaining angle

Answer:

Step-by-step explanation:

132 is the exterior angle, which is the sum of the two non-adjacent interior angles:

Answer:

(3, -4)

Step-by-step explanation:

Answer:

(0,-1) and (1,-4)

Step-by-step explanation:

Answer:8.5

Step-by-step explanation:I just know it’s

A graph which could be used to find the distance between the points (−13, −3) and (9, 11) include the following: A. graph A.

In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given points into the distance formula, we have the following;

Distance = √[(9 + 13)² + (11 + 3)²]

Distance = √[(21)² + (14)²]

Distance = √[441 + 196]

Distance = √637 units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

X-intercepts: x = -4, 5

Y-intercept: y = -80

End Behavior:

lim(x->∞) y = ∞

lim(x->-∞) y = -∞

X-intercepts:

To find the x-intercepts, we set y = 0 and solve for x.

0 = (x+4)²(x-5)

So, we set each factor equal to zero and solve for x:

x + 4 = 0 --> x = -4

x - 5 = 0 --> x = 5

The x-intercepts of the graph are x = -4 and x = 5.

Y-intercept:

To find the y-intercept, we set x = 0 and solve for y.

y = (0+4)² (0-5)

y = 16 × -5

y = -80

The y-intercept of the graph is y = -80.

End Behavior:

As x approaches positive infinity, y approaches positive infinity:

lim(x->∞) y = ∞

As x approaches negative infinity, y approaches negative infinity:

lim(x->-∞) y = -∞.

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If the data of the research subjects are presented in a frequency distribution graph, a histogram-type graph should be used.

If the data are presented in a frequency distribution graph, then the type of graph that should be used is a histogram. A histogram is a type of bar graph that displays the distribution of a continuous variable by dividing the range of values into intervals, and bins, and counting the number of observations that fall within each bin.

If the academic majors were nominal a bar graph could also be used to display the frequency of each major. In a bar graph, each category would be plotted on the horizontal axis, and the frequency of students in each category would be plotted on the vertical axis.

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To separate the middle 24% from the tails in the standard normal distribution, the z-scores are approximately -0.877 and +0.877.

 To find the z-scores that separate the middle 24% of the distribution from the area in the tails of the standard normal distribution, we can follow these steps:

1. Determine the area in the tails: Since the middle 24% is being separated from the tails, we need to find the area in the tails. Since the standard normal distribution is symmetric, each tail will have an area of (100% - 24%) / 2 = 38% / 2 = 19%.

2. Convert the tail area to a z-score: We can use a standard normal distribution table or a calculator to find the z-score corresponding to an area of 19%. This z-score represents the cutoff point between the middle 24% and the tails.

Using a standard normal distribution table or calculator, the z-score that corresponds to an area of 19% in the tail is approximately -0.877.Therefore, the z-scores that separate the middle 24% of the distribution from the area in the tails of the standard normal distribution are approximately -0.877 and +0.877.

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ANSWER

3. $185

4. $60,125

EXPLANATION

We are given that a wedding at the Hall Plantation costs $22,200 for 120 people.

3. To calculate how much the wedding costs per guest, we have to divide the total cost for 120 people by the number of people (120).

That is:

22200 / 120 = $185

The cost per guest is $185.

4. To find how much they would charge for 325 guests, we will find the product of the cost per guest ($185) and the number of guests (325).

That is:

$185 * 325 = $60,125

That is the cost for 325 people.

Answer:

3x^3-2x^2-19x-6

Step-by-step explanation:

= 3x^2x+3x^2(-3)+7xx+7x(-3)+2x+2(-3)

= 3x^3 - 2x^2 - 19x - 6

Key - (^) means exponent

Answer:

He can read 22.5 pages.

Step-by-step explanation:

first: 30/4 = 7.5

second: 7.5(3) =22.5

Answer:

1/4

Step-by-step explanation:

The square root of 1/16 = 1/4

they probably

The difference in what you would pay in taxes is $16,706.55

The given parameters are:

The difference in tax is:

Difference = 2.4% - 0.27%

Evaluate

Difference = 2.13%

The amount is then calculated as:

Amount = 2.13% *  $784,345

Evaluate

Amount = $16,706.55

Hence, the difference is $16,706.55

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The system of equations that can be used to determine ,the number of 1-inch-wide blocks and 3-inch-wide blocks in the line is;

x + y = 10

x + 3y = 18

Tye correct answer option is option B

Let

x + y = 10

x + 3y = 18

Subtract (1) from (2) to eliminate x

3y - y = 18 - 10

2y = 8

divide both sides by 2

y = 8/2

y = 4

Substitute y = 4 into (1)

x + y = 10

x + 4 = 10

x = 10 - 4

x = 6

Therefore, the number of 1-inch-wide blocks in the line and number of 3-inch-wide blocks in the line is 6 and 4 respectively.

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Answer:

The distance between the starting point and the end point

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

let t represent teddy bear and v represent vase, then

2t + 3v = 27 → (1)

3t + 2v = 30.5 → (2)

Multiplying (1) by 3 and (2) by - 2 , then adding will eliminate t, that is

6t + 9v = 81 → (3)

- 6t - 4v = - 61 → (4)

Add (3) and (4) term by term to eliminate t, that is

5v = 20 ( divide both sides by 5 )

v = 4

The cost of the flower vase is $4

Answer:

It is going to be $4.00

Step-by-step explanation:

Hope this helped have an amazing day!

The angle of D is 98 degree.

Any two angles that sum up to 180° are called supplementary angles. Observe the following figure which shows two angles 130° and 50° and since they add up to 180°, they are called supplementary angles. In other words, angle 1 and angle 2 are supplementary, if Angle 1 + Angle 2 = 180°. In this case, Angle 1 and Angle 2 are called 'supplements' of each other.

A quadrilateral ABCD is cyclic if and only if its opposite

angles are supplementary.

A and C are opposite angles, so they are supplementary

m ∠A + m ∠C = 180

9x - 1 + 64 = 180

9x + 63 = 180

9x = 117

x = 13

m ∠B = 6x+4 = 6(13)+4 = 82

B and D are opposite angles, so they are supplementary

m ∠B + m ∠D = 180

82 + m ∠D = 180

m∠D = 98°

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Answer:

See below in bold.

Step-by-step explanation:

y = -x^2 - 2x - 5

Convert to vertex form:

y = -(x^2 + 2x) - 5

y = - [(x + 1)^2 - 1] - 5

y = -(x + 1)^2  + 1 - 5

y = -(x + 1)^2 - 4

So the vertex of the graph is at (-1 , -4) and it is a maximum because the coefficient of x^2 is negative.

So the range is all values of f(x) up to and including -4.

In interval notation this is (-∞, -4].

Answer:

x = 30

Step-by-step explanation:

Angles on a line equal 180

4x + 20 + 40 = 180

4x + 60 = 180

Minus 60 on both sides.

4x = 120

Divide by 4 on both sides.

x = 30

For A, I got 81 cards. I'm pretty sure that's correct.

For B , there can be 1 attribute that is different and the other 3 can be the same, there can be 2 that are different and 2 can be the same, there can be 3 that are different and 1 is the same, or all 4 attributes are different.

If 1 is different and the other 3 are the same, there are \($\binom{4}{1}\)= 4$ sets.

If there are 2 different and 2 are the same, there are\($\binom{4}{2}\)= 6$ sets.

If there are 3 different and 1 is the same, there are \($\binom{4}{2}\) = 4$ sets.

But I don't know how many sets there are if all 4 are different.

To get my final answer for b, I would add all the sets up.

(b) There are 108/3 = 36 unique sets.

(c) For the first card, there are 3 ways to choose the number.  For the second, there 2 choices, and then there is only 1 choice.  So there are 3*2*1 = 6 ways that the numbers can be chosen.  Doing this for the other attributes, we get 6*6*24*6 ways.  But the order of cards doesn't matter in a set, so we divide by 3!: 6*6*24*6/3! = 864.  So there are 864 sets for part (c).

(d) The cards can have the same number, color, shape, or shading.  If all the colors are the same, then there are 6*24*6/3! = 144 sets.  If all the numbers are the same, then there are 144 sets.  We get the same number for shape and shading, so there are 4*144 = 576 sets for part (d).

(e) We need to choose two of the attributes.  There are C(4,2) = 6 ways of choosing two attributes.  For each of these two attributes, there are 3 options.  For the other two attributes, there are 3 ways of assigning the choices, so there are 6*3*3*3*3 = 486 sets for part (e)

(f) First we choose which attributes are the same.  There are C(4,3) = 4 ways of choosing which attributes are the same.  There are then 3*3*4 = 36 ways to assign which is which for each of these three attributes, and there are 4 ways to assign the choices for the fourth attribute, so there are 4*36*4 = 576 sets for part (f).

As for c, d, e, and f, I'm pretty sure I can just refer to b.

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