The 8th grade teachers decided to order super cool E-Learning shirts for themselves. Each shirt cost $15.00 and shipping for the order was $9.95. Write a function rule to represent the cost c of the order based on the number of shirts s ordered. What will the total cost be for the 8th grade if there are 15 shirts ordered?

Answer:

[tex]\huge\boxed{\sf 3 \ baskets}[/tex]

Step-by-step explanation:

Let the baskets missed in game 2 be x.

Says that, the shooting of both the games were accurate.

So,

[tex]\displaystyle \frac{Baskets \ made \ in \ game \ 1}{Baskets \ missed \ in \ game \ 1 } =\frac{Baskets \ made \ in \ game \ 2}{Baskets \ missed \ in \ game 2} \\\\\frac{15}{5} =\frac{x}{1} \\\\Cross \ Multiply\\\\15 \times 1 = 5 \times x\\\\15 = 5x\\\\Divide \ 5 \ to \ both \ sides\\\\3 = x\\\\x = 3\\\\\rule[225]{225}{2}[/tex]

When the distribution is not symmetrical, the median is typically the preferred measure of central tendency because it is less impacted by outliers and skewed data than the mean.

The median is the value that divides a population, a sample of data, or a probability distribution into its higher and lower halves. It could be referred to as "the middle" value for a data set.

The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.

Due to the fact that income distribution can be very skewed, the median income, for instance, might be a better indicator of what is considered a "normal" income.

In robust statistics, the median is crucial because it is the most resilient statistic with a breakdown point of.

Hence, When the distribution is not symmetrical, the median is typically the preferred measure of central tendency because it is less impacted by outliers and skewed data than the mean.

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The expression that is equivalent to the given expression, (8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y), is 8x²y² - 15x²y + xy² + 5y

From the question, we are to determine the expression that is equivalent to the given expression.

The given expression is

(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)

To determine the expression that is equivalent to the given expression, we will simplify the given expression.

Simplifying the expression

(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)

Clear the parentheses by applying the distributive property

8x²y² - 9x²y + 9y - 6x²y + xy² - 4y

Collect like terms

8x²y² - 9x²y - 6x²y + xy² - 4y + 9y

Simplify

8x²y² - 15x²y + xy² + 5y

Hence, the equivalent expression is 8x²y² - 15x²y + xy² + 5y

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A) 3x+9y-1 = 3(x+3y) -1, here distributive property is used the 3 is multiplied with each term inside the bracket.

What is algebraic operations?
Any of the common arithmetic operations, such as addi - tion, subtraction, multiplication, division, raising to a complete number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power). These operations could be applied to numerical data, in which case people are frequently referred to as arithmetic operations. Similar operations can be carried out on factors, algebraic expressions, and, more generally, on components of algebraic structures like groups and fields. Another way to describe an algebraic operation is as a function from the Cartesian power of the a set to the same set. The dot product is an example of an operation that can be described by compounding simple algebraic operations, and is referred to as an algebraic operation.

b) 7x+5y-5y = 7x

Here the Additive inverse of 5y is used which is -5y .

c) (x-4)(x+3) = 0

here distributive property of addition over multiplication is used.

d) 4x+5x = 5x+4x

here commutative property is used.

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The slope and y-intercept of this function is

B. The slope is 5/6, The y-intercept is (0, -3

Linear function is a function of the form y = mx + c

m = slope

c = intercept

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculated using the points (0, -3) and  (6, 2)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2 - -3) / (6 - 0)

m = (5) / (6)

m = 5/6

c = y intercept, from the table

c = -3

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The x-intercept of the quadratic inequality is -4 ≥ x and 2 ≥ x.

Let's factor the quadratic inequality to find the x-intercepts. The x-intercept of the quadratic inequality is the value of x when y = 0.

Therefore,

y ≥ x² + 2x - 8

0 ≥ x² + 2x - 8

0 ≥ x² - 2x + 4x - 8

0 ≥ x(x - 2) + 4(x - 2)

0 ≥ (x + 4)(x - 2)

Therefore,

0 ≥ x + 4

-4 ≥ x

0 ≥ x - 2

2 ≥ x

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The equation of the asked line is y = 2.

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The coordinates of line are given → (x, y) = (-2, 2), (0, 2), (2, 2) and (4, 2)

Considering any two points, (2, 2) and (4, 2)

Slope = (y2-y1)/(x2-x1) = 2-2/-2 = 0

Since, the slope is zero, so, the line will be parallel to x-axis.

The equation of the line is y = mx + c

Solving for c, we get,

2 = 0*4 + c

c = 2

Hence, the equation is y = 2

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Answer:

2) ∡1 = 170°

Step-by-step explanation:

1) The angles in red have the same measure, and those in blue have the same measure.

The equation that would represent Mariana’s production costs, given the number of shirts produced, would be y = 450 + 0.72x

Mariana is starting a company that sells t - shirts and her production cost include a fixed cost for materials of $450.

It also includes variable costs of $ 0. 72 per shirt made. The formula for the cost is therefore:

Total cost = Fixed cost for materials + Cost per shirt made x Number of shirts produced

With the number of shirts produced being x, and the total cost being y, the equation becomes:

y = 450 + 0.72x

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The average rate of  change of f(x) over the interval [-4,-1] is 2  , the value of f(-1) is 3  and value of f(-4) is  -3 .

In the question ,

a linear graph of the function f(x) is given ,

we have to find the rate of change of the function f(x) ,

We know that the Rate Of Change of the function f(x) over interval [a,b] is calculated using the formula ;

Rate Of Change [tex]=[/tex] (f(b) - f(a))/(b - a)

the interval is [-4,-1] ,

So , a = -4 and b = -1 .

From the graph , the value of f(-1) is = 3 ,

and the value of f(-4) is = -3 ,

So , By the Rate Of Change formula ,

we get ,

Rate Of Change = (f(-1) - f(-4))/(-1 -(-4))

= (3 -(-3))/(-1 + 4)

= (3 + 3)/3

= 6/3

= 2

Therefore , the rate of change over the interval [-4,-1] is 2 .

The given question is incomplete , the complete question is

Calculate the average rate of change of f(x) (shown in the graph) over the interval [-4, -1] using the formula. The value of f(-1) is. The value of f(-4) is. The average rate of change of f(x) over the interval [-4, -1] is .

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Answer:

is this a question ?

Step-by-step explanation:

so tough in which class are you in

dont go to school

Answer: [tex]x=-1, 2[/tex]

Step-by-step explanation:

If [tex]ab=0[/tex], then [tex]a=0[/tex] and/or [tex]b=0[/tex].

So, [tex]x+1=0[/tex] or [tex]2x-4=0[/tex].

[tex]x+1=0 \implies x=-1\\\\2x-4=0 \implies x=2\\\\\therefore x \in \{-1, 2\}[/tex]

Answer:

  (e)  3x +5

Step-by-step explanation:

You want the width of a box if its volume is 21x² +14x -35, its length is 7, and its height is x-1.

The volume can be factored as ...

  21x² +14x -35 = 7(3x² +2x -5) = 7(3x +5)(3x -3)/3 = 7(x -1)(3x +5)

The volume is the product of length, width, and height. If length and height are 7 and (x-1), then width is the remaining factor: 3x +5.

The width of the boxes is 3x +5.

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i) The number of participants that would need to attend the forum for Patricia to break even is of: 30.

ii) The number of participants that would need to attend the forum for Patricia to obtain a profit of Ksh 337,500 is of: 75.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients are given as follows:

Hence in the context of this problem, the meaning of each coefficient is given as follows:

Hence the values of each coefficient are given as follows:

Hence the profit function is given as follows:

P(x) = 7500x - 225000.

She breaks even when P(x) = 0, hence:

7500x - 225000 = 0

7500x = 225000

x = 225000/7500

x = 30 participants.

She makes a profit of 337500 when:

7500x - 225000 = 337500

x = (337500 + 225000)/7500

x = 75 participants.

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The speed of the current of the river will be 4.47 km per hour.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

A riverboat goes at a normal of 14km each hour in still water. the riverboat voyages 110km east up the Ohio waterway and 110km west down a similar stream in a sum of 17.5 hours.

Let 'y' be the speed of the current of the river. Then the equation is given as,

T = T₁ + T₂

17.5 = [110 / (14 + y)] + [110 / (14 - y)]

17.5 / 110 = (14 - y + 14 + y) / (196 - y²)

196 - y² = 176

y² = 20

y = 4.47 km per hour

Then the speed of the current of the river will be 4.47 km per hour.

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Answer:

Y = 1/4 -1

Step-by-step explanation:

To find slope, count how many units are between points on the line. How many times you count up or down will be found on top of the fraction symbol. How many times you count left or right will be found below the fraction symbol. This line goes to the right four times, and up once to reach its next point. That means our slope will appear as 1/4.

Next, go to the spot where the line hits the Y-axis. That is where the y-intercept is. -1 is where the line crosses the Y-axis, so that's our y-intercept.

Very simply, you find slope by counting, and y-intercept by looking. Up one time, to the right four times; 1/4 for slope. Line crosses at -1; y-intercept. Y = 1/4 -1

H represents integer -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

What is opposite and absolute value of an integer?

Opposite integers: Two numbers that are the same distance from zero but on opposite sides.

Absolute value of integer: The integer’s distance from zero on the number line.

Every integer has an opposite.

The sum of two opposites is always zero.

For example 5 is opposite of -5

According to the given question:

The integer represented by the H lies on the left hand side of zero that is negative side of number line.

H represents -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

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Answer: the answer is A. 7/2(1/2)

A comparison of multiple treatments and the use of the double-blind method are two fundamental components of all statistically designed experiments. (6) Compare various treatments; assign patients to treatments at random.

What is double-blind method?

A kind of clinical experiment in which neither the participants nor the researcher is aware of the treatment or intervention that each participant is receiving until the trial is complete.

                      This reduces the likelihood of skewed study outcomes.

What is a sample of a double-blind study?

Imagine, for instance, that researchers are looking into the effects of a novel medication.

                            The participants in a double-blind study would not be aware of who was receiving the real medication and who was receiving a placebo, and neither would the researchers who interact with them.

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The complete question is -

Two essential features of all statistically designed experiments are (2 Points) O use enough subjects; always have a control groups O always have a placebo group; use the double - blind method O use a block design; use chance to assign subjects to treatments O compare several treatments; use the double - blind method O compare several treatments; use chance to assign subjects to treatments.

The graph line for function d = 0.25t is added as an attachment

The equation of the function is given as

d = 0.25t

The above function is a linear function

One way to create the graph is to make a list of ordered pairs

So, we have

When t = 0, d = 0.25 * 0 = 0

When t = 1, d = 0.25 * 1 = 0.25

When t = 2, d = 0.25 * 2 = 0.5

So, the ordered pairs are (0, 0), (1, 0.25) and (2, 0.5)

We plot these points on a graph and connect them through a line

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 3.2\%\to \frac{3.2}{100}\dotfill &0.032\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (500)(0.032)(1) \implies I = 16[/tex]

Answer: How Weather Exists

Step-by-step explanation:

~I think you mean, how weather exists.

You see, "Weather" exists because of the atmosphere. Evidently, weather  is the movement of the atmospheric gases around the planet that creates weather. Places like the Moon or Mercury do not have weather - only temperature changes.

~Hope this helped :)

Answer:

[tex]\frac{5}{y}[/tex]

Step-by-step explanation:

5 divided by y can be written as a fraction.

[tex]\frac{5}{y}[/tex] 5 being the numerator with y as the denominator showing it's 5 divided by y

The value of x for the given equation is 1.

What is solving an equation?

A General Rule for Equation Solving

Remove parentheses from each side of the equation and combine similar phrases to make it simpler.

To separate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use division or multiplication.

Consider the given expression

0.2(x + 1) + 0.5x = -0.3(x - 4)

Simplifying,

0.2x + 0.2 + 0.5x = -0.3x + 1.2

0.7x + 0.2 = -0.3x + 1.2

Add 0.3x on both sides,

0.7x + 0.2 + 0.3x = -0.3x + 1.2 + 0.3x

x + 0.2 = 1.2

Subtract 0.2 from both sides,

x + 0.2 - 0.2 = 1.2 - 0.2

x = 1

Hence, the value of x for the given expression is, 1.

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The quadratic equation with the roots  3+i and 3-i is:

x^2 - 6x + 10 = 0

We know that a quadratic equation with the roots a and b is written as:

(x - a)*(x - b) = 0

Here the roots are 3 + i, and 3 - i.

Replacing that we get:

(x - 3 - i)*(x - 3 + i) = 0

Expanding the product on the left we get:

x^2 + x*(-3) + x*i + (-3)*x + (-3)*(-3) + (-3)*i + (-i)*x + (-i)*(-3) - i^2 = 0

Remember that i^2 = -1, then:

x^2 -3x + x*i - 3x + 9 - 3i - x*i + 3i + 1 =0

x^2 - 6x + 10 = 0

That is the equation for the given roots.

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Answer:

For the first graph:

Domain: -∞ [tex]\leq[/tex] x [tex]\leq[/tex] ∞

Range: y [tex]\geq[/tex] 3

For the second graph:

Domain: 0 [tex]\leq[/tex] x [tex]\leq[/tex] 4

Range: y [tex]\leq[/tex] 64

Step-by-step explanation:

For the second graph, I'm assuming that that point are stopping at (0,0) and (4,0) that's why I wrote that for the domain. If it doesn't stop, then the domain would be the same and the first graph.

By resolving an equation, we may determine that Uan needs to sell 12 or more goods in order to generate a profit of $60 or more.

A formula that describes how two expressions on each side of a sign are connected.

It typically has an equal sign and one variable.

Similar to this: 2x - 4 = 2.

Graphing, substitution, or elimination are the three methods that can be used to solve systems of equations.

To answer a problem by graphing, just plot the given equations on a graph and identify the point(s) where they all intersect.

So, a number of items Uan should sell to earn a profit of $60 or above:
We know that Uan earns $5 for each item he sells.

So, let x be the number of items Uan should sell.

Then, the equation will be:

5x = 60

Now, solve as follows:
5x = 60

x = 60/5

x = 12

Profit of $60: 12 items to sell

Profit more than $60: More than 12 items to sell

So, by resolving an equation, we may determine that Uan needs to sell 12 or more goods in order to generate a profit of $60 or more.

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Using the ratio principle, the longest stage is Prophase with a duration of 456 minutes

The amount of time spent in each stage of Mitosis can be calculated thus :(Number of onion per stage / total number of onions) × total time spent.

Total time spent = 24 hours = (60 × 24) = 1440 minutes

Time spent per stage :

Anaphase :

(12 / 60) × 1440 = 288 minutes

Prophase :

(19 / 60) × 1440 = 456 minutes

Metaphase :

(14 / 60) × 1440 = 336 minutes

Telophase :

(15 / 60) × 1440 = 360 minutes

Therefore, the stage with the longest duration is the Prophase stage and the duration is 456 minutes

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The statement(s) that must be true about three points, P, Q, and R, graphed on a coordinate plane. such that the points are all collinear in the order P, then Q, and then R are:

Collinear points are those that are situated along a single straight line.

In Euclidean geometry, two or more points are said to be collinear if they are located on a line either close to or far from one another.

Slopes of a line is equal for parallel line and a single straight line

Since the line P, Q and R are in the order P, then Q, and then R. it means that the length of the line PR is PQ + PR

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