A 16- fl oz bottle of juice cost $2.00. What is the unit cost ?

Answer:

D, x = -2

Step-by-step explanation:

The slope of y = -2 is 0, because it is horizontal. The perpendicular slope of a horizontal slope is a vertical, which has x equaled to a number. The answer is D, x = -2, because its slope is undefined, or vertical. This makes it perpendicular to 0, or horizontal.

Answer:

x(x - 8)(x + 3)

Step-by-step explanation:

take out a common factor of x

= x(x² - 5x - 24)

to factor the quadratic consider the factors of - 24 which sum to - 5

These are - 8 and + 3, thus

= x(x - 8)(x + 3) ← in factored form

Final answer:

To factor X³-5X²-24X, we first factor out the greatest common factor, X, and then factor the resulting quadratic equation, resulting in the factored form X(X-8)(X+3).

Explanation:

The polynomial X³−5X²−24X can be factored by first taking out the common factor of X, which gives us X(X²−5X−24). Next, we need to factor the quadratic equation X²−5X−24. To do this, we look for two numbers that multiply to −24 and add up to −5, which are −8 and 3. Therefore, the factored form is X(X−8)(X+3).

An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

The constraint of expression is represented as = or <, >.

As per the given expression,

1/2 × (7x - 3) × 8

Multiply 1/2 and 8

⇒ 1/2 × 8 × (7x - 3)

⇒ 4 × (7x - 3)

⇒ 28x - 12

Hence "An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12".

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Answer:

Q1  The function is linear from x = 2 to x = 8.

Q2 The function is increasing from x = -5 to x = 0.

Step-by-step explanation:

Q1. Select the statement that is true about the graph above.

The function is decreasing from x = -5 to x = 0.

This would mean it is going down from left to right.  It is obviously going up.  So this is not true.

The function is nonlinear from x = -5 to x = 0.

This would mean it is not a straight line, but it is a straight line so this is not true.

The function is increasing from x = 2 to x = 8.

This would mean it is going up from left to right, but it is going down from left to right so this is not true.

The function is linear from x = 2 to x = 8.

This would mean it is a straight line between 2 and 8.  It is true.

Q2.Select the statement that is true about the graph above.

The function is increasing from x = -5 to x = 0.

This would mean it is going up from left to right.  It is obviously going up.  So this is  true.

The function is decreasing from x = -5 to x = 0.

This would mean it is going down from left to right.  It is obviously going up.  So this is not true.

The function is linear from x = 0 to x = 2.

This would mean it is a straight line, but it is not a straight line so this is not true.

The function is nonlinear from x = -5 to x = 0.

This would mean it is not a straight line, but it is a straight line so this is not true.

Answer:

70 pages

Step-by-step explanation:

25 % = 25/100 = 1/4

Number he reads each night 280 * 1/4

= 70 pages

Ramon should read 70 pages each night to cover 25 percent of the 280-page book over four nights.

Ramon's goal is to read 25% of a 280-page book each night.

To find out how many pages he should read each night,

we can calculate 25% of 280.

First, we convert 25% to a decimal by dividing it by 100:

25% = 0.25.

Next, we multiply the decimal (0.25) by the total number of pages (280):

0.25 [tex]\times[/tex] 280 = 70.

Ramon should read 70 pages each night.

This consistent approach will help him finish the book in four nights while ensuring he comprehends the material thoroughly.

Breaking the reading into manageable portions not only makes it easier to digest the content but also allows him to better retain and engage with the book.

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Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (2 - 5)/(-23 - (-8))

m = (2 - 5)/(-23 + 8)

m = (-3)/(-15)

m = 1/5

m = 0.2

-------------------

The answer as a fraction is 1/5

In decimal form, this is equivalent to 0.2

To find the slope, use the slope formula and plug in the two points:

(-8,5) = (x₁ , y₁)

(-23,2) = (x₂ , y₂)

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{2-5}{-23-(-8)}[/tex]

[tex]m=\frac{2-5}{-23+8}[/tex]

[tex]m=\frac{-3}{-15}[/tex]

[tex]m=\frac{1}{5}[/tex]

Answer:

y = 3x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - [tex]\frac{1}{3}[/tex] x + 1 is in this form

with slope m = - [tex]\frac{1}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1/3}[/tex] = 3

y = 3x + c ← is the partial equation

to find c substitute (3, 4) into the partial equation

4 = 9 + c ⇒ c = 4 - 9 = - 5

y = 3x - 5 ← equation of perpendicular line

Answer:

The correct

answer between all the choices given is the second choice or letter B. I am

hoping that this answer has satisfied your query and it will be able to help

you in your endeavor, and if you would like, feel free to ask another question.

Final answer:

By setting up a proportion based on the fact that 4 ounces represents 25% of the amount in bottle B, we calculated that bottle B must contain 16 ounces of water.

Explanation:

The question asks us to determine how much water is in bottle B given that bottle A contains 4 ounces of water, which is 25% of the amount of water in bottle B. This means bottle A has one-fourth the amount of water that is in bottle B.

To find out how much water is in bottle B, we can set up a simple proportion: if 4 ounces is 25%, then 100% (which is the full amount in bottle B) would be four times as much. Therefore, we multiply 4 ounces by 4.

4 ounces × 4 = 16 ounces

So, bottle B contains 16 ounces of water.

Answer:

The lowest he can get is a 72 to maintain an 80 as his average

Step-by-step explanation:

The area of the blue glass needed to fill each dot is 144π square inches.

To find the area of the blue glass needed to fill each dot, we need to first determine the radius of the dot. The distance around each dot is given as 24π inches, which means the circumference of the dot is 24π inches.

Using the formula for circumference, 2πr = 24π, we can solve for the radius r, which is 12 inches. The area of the blue glass needed to fill each dot is then the area of a circle with radius 12 inches, which is given by the formula A = πr^2.

Substituting the value for r, we get A = π(12)^2 = 144π square inches.

Answer:

C and E

Step-by-step explanation:

Supplementary angles add up to 180

Corresponding angles are the same angle in a different location

Answer:

1 and 5 are supplementary angles

5 and 7 are corresponding angles

Step-by-step explanation:

Question

42 is 60% of what number

Answer:

Step-by-step explanation:

42 : 60 * 100 =

70

--------------------

check

70 * 60% =

42

the answer is good

Answer:

The first thing we are going to do is simplify the equation. 2 + 2 equals to 4. 6^3 equals to 216. 4 x 5 equals to 20. Now, we solve the equation to the right because we multiply before we divide 20 x 216 = 4,320 and now we are going to divide 4,320 by 4 which equals to 1,080.

Step-by-step explanation:

Answer:

542

Step-by-step explanation:

You must use order of operations: PEMDAS

P_arenthesis

E_xponents

M_ultiplication or

D_ivision left to right

A_ddition or

S_ubtraction left to right

So there are no parenthesis, then  you do exponents.

2 + 2/4 * 5 * 6^3

So six times six three times.

2 + 2/4 * 5 * 216

Now divide usually from left to right.

2 + 0.5 * 5 * 216

Multiply

2 + 2.5 * 216

Multiply for the last time 2.5 by 216

2 + 540

Finally add

542

Hope this helps future students,

Que.

Answer:

B) A quadrilateral with one pair of parallel sides

Step-by-step explanation:

Specifically, this is a 4 sided figure with exactly one pair of opposite sides that are parallel. The other two sides are not parallel. A trapezoid can be formed if you draw a parallel segment to one side of a triangle. If you had two pairs of parallel sides, then it would be a parallelogram instead of a trapezoid.

Answer:

D: (-infinity, infinity)   R: (-infinity, infinity)

Step-by-step explanation:

The absolute value of x - 3 is x+ 3.

y = x + 3 + 1

y = x + 4

Your y intercept is your c value. Your c value is 4.

4 is your y intercept.

Place a point on 4. This is your starting point. Rise over run is 1/1

To find the positive points, go up one from the y intercept and over one, repeating the process until you reach the edge of the graph.

To find the negative points, do the opposite. Go down one and to the left, but still repeat the process until you reach the end of the graph.

Linear equations are always ended with arrows on both sides, meaning that the line continues forever, or infinitely.

To find domain, look at the x values.

Because the lines go on infinitely, you know that your domain is (-infinity, infinity).

To find your range, look at your y values.

Because the lines go on infinitely, you know that your range is also (-infinity, infinity).

Make sure to use the symbol for infinity instead of the words. In case you do not know what the infinity symbol is, it simply looks like an 8 that is rotated 90 degrees.

Answer:

p > 4 if thats what ur asking.

Step-by-step explanation:

p-1>3

Add 1 to each side, it cancels out the -1

p > 4

Answer:

p>4

Step-by-step explanation:

p-1>3 given

p>4 addition property of equality

Let the slower runners speed be X kilometers per hour.

Then the faster runners speed would be X+2 kilometers per hour.

The formula for distance is Speed times time.

The distance is given as 30 kilometers and time is given as 3 hours.

Since there are two runners you need to add the both of them together.

The equation becomes 30 = 3x + 3(x+2)

Now solve for x:

30 = 3x + 3(x+2)

Simplify:

30 = 3x + 3x +6

30 = 6x + 6

Subtract 6 from each side:

24 = 6x

Divide both sides by 6:

x = 24/6

x = 4

The slower runner ran at 4 kilometers per hour.

The faster runner ran at 4+2 = 6 kilometers per hour.

Answer: 55°

Step-by-step explanation:

Line n is irrelevant.

Angle 1 plus angle 2 is 180° because line m is a straight line

180 - 125 is 55

Answer:

The value of k is -5.

Step-by-step explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

Now we can use cross multiplication to solve for k.

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k

Answer:

k=-5

Step-by-step explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k

Answer:

Step-by-step explanation:

Unknown number be 'x'

4x-10>1000

An inequality representing '10 less than four times a number is more than 1000' is written as 4x - 10 > 1000. We rearrange the inequality to solve for x, resulting in x > 252.5, indicating that four times any number greater than 252.5, minus 10, will be more than 1000.

To write an inequality that represents "10 less than four times a number is more than 1000," we need to use an inequality symbol to show the relationship between the expressions involved. The number we are considering can be represented by a variable, typically denoted as x. So, four times a number would be written as 4x. Following this, 10 less than four times a number is expressed as 4x - 10. Now, stating that this quantity is more than 1000, we use the > sign, leading to the inequality 4x - 10 > 1000. To solve this inequality, we can rearrange the terms to isolate x, resulting in the following steps:

This inequality represents that any number greater than 252.5, when multiplied by four and reduced by 10, will result in a value more than 1000.

Answer:

30 games

Step-by-step explanation:

8+15+0.9x is less than or equal to 50

isolate x:

x is less than or equal to 30

Answer:

The margin of error for a sample size of 250 is 6

Step-by-step explanation:

The margin of error is given as

1/square root of the sample size

Thus, margin of error for a sapless size of 250 is

1/√250

= 1/15. 811

= 6

Final answer:

By inserting parentheses to create the expression (6 + 10) x 2, we change the order of operations and get the desired result, which is 32.

Explanation:

The question involves inserting parentheses in the expression 6 + 10 x 2 so that the result of the expression equals 32. According to the order of operations, we typically perform multiplication before addition, so if we compute the expression as it stands, we would get 6 + (10 x 2) = 6 + 20 = 26, which is not the result we want. To achieve the desired result, we need to adjust this order. By adding parentheses, we can change the order in which the operations are performed. Thus, the correct placement of parentheses would be (6 + 10) x 2, which gives us (16) x 2 = 32.

Answer:

y = -3x-9

Step-by-step explanation:

7 + y = -2 -3x

To solve for y, subtract 7 from each side

7 -7+ y = -2 -3x-7

y = -3x-9

Question

Julie buys 2kg of apples and 7 kg of pears for £12.70. The pears cost £1.30 per kilogram. What is the price per kilogram of the apples?

Answer:

Step-by-step explanation:

find the price of pears

7kg * 1.30£ = 9.1£

from the total price take away the cost of pears

12.70 - 9.1 = 3.6 £ (price of 2Kg of pears)

3.6 : 2 = 1.80 £ ( cost of 1 Kg of apples)

----------------------------------------------

or you can solve with an expression

12.70 - (7 * 1.3) : 2 =

1.80 £

Based on the information given regarding the regression line, the correct option is D. That the regression equation is not a good fit for the data.

A regression line simply means a single line that best fits the data. It should be noted that the formula for the regression line is y = mx + b.

Based on the question asked, since the residual plot looks like a quadratic function, it means that the regression equation is not a good fit for the data.

If the regression line is a good fit for the model, there'll be no pattern in the residual. In this case, since there is a residual, it means that the regression equation is not a good fit for the data.

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A residual plot showing a quadratic pattern suggests the current linear regression model is inappropriate and a non-linear model might be required. Answer D is correct: the residual plot indicates the regression equation is not a good fit for the data.

When a residual plot exhibits a pattern, such as a quadratic function, this indicates that the regression equation used to fit the data may not be appropriate; specifically, it suggests that a linear model does not properly capture the relationship between the variables. Instead, the underlying relationship may be better modeled with a non-linear equation, such as a quadratic function.

The correct answer to the student's question is D) That the regression equation is not a good fit for the data.

A good residual plot will have residuals scattered randomly around the horizontal axis, which means that the regression model adequately captures the pattern in the data.