Find the missing number/s so that the equation has One solution.

Select all that apply.



__x + 3 = –4x + 17

a
2
b
5
c
7
d
-4

The median cost of the market research surveys is $900 so option (a) is correct.

Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.

As per the given surveys,

Survey 1: $725 Survey 2: $850, Survey 3: $1,250, Survey 4: $1,350, Survey 5: $900.

Write the surveys in the increasing format as

$175,$850,$900,$1250,$1350

The median will be the middle value thus $900 will be correct.

Hence "The median price of the surveys for market research is $900".

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A linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate is L(x)=-6 -4x .

What is function ?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Nearest integer is x =-1

Centre of linearization as x =-1

f(x)=3x2 +2x -3

f(-1)=3(-1)2 +2(-1) -3

f(-1)=-2

f(x)=3x2 +2x -3

f '(x)=6x +2

f '(-1)=6(-1) +2

f '(-1)= -4

L(x)=f(-1) + f '(-1) (x-(-1))

L(x)=-2 -4(x+1)

L(x)=-2 -4x -4

L(x)=-6 -4x

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Answer:

[tex]\boxed{\tt A. \;y = .613x + 4.142}[/tex]

Step-by-step explanation:

Equation: (y-y_1)=y_2-y_1/x_2-x_1 (x-x_1)

Here,

[tex]\tt (x_1,y_1):(-2,2.9)[/tex]

[tex]\tt (x_2,y_2): (-3.5,2)[/tex]

[tex]\tt y-2.9=\cfrac{(2-2.9)}{(-3-5-(-2))} (x-(-2))[/tex]

[tex]\tt y-2.9=\cfrac{-0.9}{-1.5} (x+2)[/tex]

[tex]\tt y-2.9=0.6(x+2)[/tex]

[tex]\tt y-2.9=0.6x+1.2[/tex]

[tex]\tt y=.613x+4.142[/tex]

___________________

Hope this helps you!

Have a nice day!

If P is the minimum number of tests to achieve full statement coverage for f(x) and Q is the minimum number of tests to achieve full branch coverage for f(x), then (P,Q) =(3, 4)

Branch coverage: During program testing, every branch in a statement must be run at least once.

Coverage of the statement:

This means that during testing, every statement in the computer code must be run at least once.

All of the statements must be executed in order to obtain complete statement coverage.

Statement coverage is calculated as (statement executions divided by total statement executions).

To obtain complete statement coverage in the code above, two test cases are necessary.

Case 1: If the if condition is satisfied,

{

int res=0;

if(m<0) {res=n-m;}

return res;

}

These commands will be carried out.

Case 2: All remaining statements will also be put into effect when the other two cases of else do. Full statement coverage is attained after three tests.

Branch coverage: It includes both true and false situations and is decision-based.

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The solution for the given equation is, θ = 270°.

What is solving an equation?

Finding an equation's solutions, or the values that satisfy the condition stated by the equation, is known as solving an equation in mathematics. Solutions typically consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.

Consider, the given inequality

sinθ = -1

The general solution for sinθ = -1 is

θ = 270° + 360°n

But the condition is,  0° ≤ θ ≤ 360°

Hence, the solution for the given equation is, θ = 270°.

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Answer:

Step-by-step explanation:

This in standard form (Ax + By = C.) In order to make this slope-intercept form, you need to isolate y.

y = -1.5x + 2.75

y=mx + b is slope intercept, where m is the slope and b is the y-intercept.

In this case, -1.5 is the slope and 2.75 is the y-intercept.

Hope this helps!!

Answer:

30$ per ft^2

Step-by-step explanation:

6.4x-2.1x=129

4.3x=129

x=30

:]

Answer:

B. x = 0 and x = 5

Step-by-step explanation:

The zeros of this function are x = 0 and x=5

_________________

Have a great day!

Answer:

(23x+4.2)

Step-by-step explanation:

The total addition of numbers is, 53975687481.

What is addition of numbers?

The other three fundamental arithmetic operations are subtraction, multiplication, and division. Addition is one of these four operations. The total sum or value obtained by adding two whole numbers is the result of the addition.

For the given addition first add the digits on 1st place.

7 + 7 + 7 + 7 + 2 + 2 + 2 + 1 + 8 + 7 + 1 = 51

Take 1 as it is and add 5 on the 10th place numbers.

Now add 10th  place numbers,

6 + 6 + 8 + 8 + 2 + 3 + 4 + 4 + 6 + 6 + 5 = 58

Take 8 as it is and add 5 to the 100th place numbers.

Now, 9 + 9 + 9 + 1 + 2 + 4 + 4 + 0 + 7 + 4  + 5= 54

Take 4 as it is and add 5 to the 1000th place numbers.

Now, 4 + 4 + 4 + 7 + 6 + 7 + 7 + 0 + 1 + 2 + 5 = 47

Take 7 as it is and add 4 to the next addition.

Now, 9 + 6 + 7 + 4 + 8 + 3 + 1 + 2 + 4 + 4 = 48

Take 8 as it is and add 4 to the next addition.

Now, 8 + 7 + 7 + 9 + 7 +  2 + 2 + 4 = 46

Take 6 as it is and add 4 to the next addition.

Now, 7 + 6 + 6 + 2 + 6 + 1 + 3 + 4 = 35

Take 5 as it is and add 3 to the next addition.

Now, 4 + 9 + 4 + 3 + 4+ 3  = 27

Take 7 as it is and add 2 to the next addition.

Now, 7 + 4 + 2 + 4 + 2= 19

Take 9 as it is and add 1 to the next addition.

Now, 9 + 3 + 1 = 13

Take 3 as it is and add 1 to the next number.

4 + 1 = 5.

Now take the last numbers one by one from step by step.

⇒  53975687481

Hence, the total addition of numbers is, 53975687481.

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Based on the study, the researcher may develop a hypothesis that smoking is associated with an increased risk of depression.

An explanation that is put up for a phenomena or a group of facts is called a hypothesis. It is a speculative explanation that needs more testing and improvement because it is supported only by a small body of data. A hypothesis is not a tested theory, but rather a point of departure for more research. A hypothesis is examined in scientific study by testing and observationit. The purpose of hypothesis testing is to evaluate the likelihood that the suggested explanation is accurate and to spot any discrepancies or holes in the available data. The act of testing and improving hypotheses is a crucial component of the scientific method since it ensures that scientific ideas are supported by reliable data.

How to solve?

This hypothesis can then be tested through further research, such as conducting a larger study with more participants, or conducting experiments to evaluate the potential mechanisms by which smoking may affect the development of depression.

The researcher may also use statistical methods to analyze the data collected from the study, in order to determine the significance of the relationship between smoking and depression.

If the hypothesis is supported by the evidence, the researcher may conclude that smoking is a risk factor for depression, and may recommend interventions or preventative measures to reduce the risk of depression among smokers.

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Since y<-0.0005x^2+x+20 and y represents the time in minutes needed to make x cell phone parts, the longest it will take the factory to make 600 cell phone parts will be y=-0.0005(600)^2+600+20

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

A number is a solution to an inequality in x if it can be used to replace x with a statement that is true. Therefore, while 8 is not a solution for example 1, 4, it is. The collection of all solutions makes up the solution set for an inequality.

Wealth inequality, treatment and responsibility disparity, political inequality, life inequality, and membership inequality are the five systems or sorts of social inequality.

In mathematics, larger than symbol (>), less than symbol (), less than or equal to symbol (), and not equal to symbol () are the five inequality symbols.

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3/2 part of the garden is planted by both the sisters.

A division is a process of splitting a specific amount into equal parts.

Given,

Jane's family divided up their garden so that 2/3 of garden will have vegetables.

Jane and her sister will plant2/3 of the vegetable portion of the garden

2/3 is the vegetable portion

In this vegetable portion 2/3 part is of the vegetable portion of the garden

3/2/2/3

3/2×3/2

6/4

3/2

Hence, 3/2 part of the garden is planted by both the sisters.

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Linear regression is a system of plotted points which shows a relationship between two given variables. The required linear equation is: y = 4x.

A graph is a plotted coordinate on a Cartesian plane which shows the relationship between two variables. A system of plotted points in relations to variables that shows a linear relationship is termed linear regression.

In a linear regression, the plotted points can be described by an equation:

y = bx + c

where: y is the dependent variable

            x is the independent variable

            b is the slope of the graph

            c is the intercept

Therefore, considering the given question;

the slope of the graph = [tex]\frac{change in y}{change in x}[/tex]

                = [tex]\frac{12 - 4}{3 - 1}[/tex]

                = [tex]\frac{8}{2}[/tex]

slope of the graph = 4

While there is no intercept, thus intercept is zero.

Therefore, the required equation that shows the relationship between liters of water and number of minutes is:

                       y = 4x

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Answer: y=-7

Step-by-step explanation:

Answer: y=-7

Step-by-step explanation:

Answer:

Where, if anywhere, does h(x) = m(x) when h(x) = (x+2)^2-9 and m(x) = x-10

wut do i have to find

Step-by-step explanation:

Answer:

The function f(x) = |x - 3| can be used to determine how far a number x is away from the number 3 on the number line. To find the function value for a given x, we first need to subtract 3 from x and then take the absolute value of the result. For example, if x = 5, then the function value would be f(5) = |5 - 3| = |2| = 2.

The domain of the function is the set of all possible values of x that we can plug into the function to get a real number result. In this case, the function will work for any real number value of x, so the domain of the function is the set of all real numbers, which can be written as:

Domain: (-∞, ∞)

In other words, the function f(x) = |x - 3| can be used to determine how far any real number x is away from the number 3 on the number line.

Answer:

Step-by-step explanation:

exponential

Answer:

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

The other half is:

The answer, considering both halves, is:

or

Answer:

[tex]10 \leq t \leq 20[/tex]

Step-by-step explanation:

Given absolute value inequality:

[tex]1000(-2|t-15|+30) \geq 20000[/tex]

Isolate the absolute value on one side of the equation:

[tex]\implies \dfrac{1000-2|t-15|+30)}{1000} \geq \dfrac{20000}{1000}[/tex]

[tex]\implies -2|t-15|+30 \geq 20[/tex]

[tex]\implies -2|t-15|+30-30 \geq 20-30[/tex]

[tex]\implies -2|t-15|\geq -10[/tex]

[tex]\implies \dfrac{-2|t-15|}{-2}\geq \dfrac{-10}{-2}[/tex]

[tex]\implies |t-15|\leq 5[/tex]

[tex]\textsf{Apply absolute rule:\quad {If} $|u| \leq a, \;a > 0$ \;then\; $-a \leq u \leq a$}[/tex]

[tex]\implies -5 \leq t-15\leq 5[/tex]

Solve both equations:

[tex]\begin{aligned}\underline{\sf Equation\;1} && \underline{\sf Equation\;2}\\t-15 &\geq -5 \quad & t-15& \leq 5\\t-15+15& \geq-5+15 &\qquad t-15+15& \leq 5+15\\t&\geq10 & t &\leq20\end{aligned}[/tex]

Merge the overlapping intervals:

[tex]10 \leq t \leq 20[/tex]

The value of x is 13 and value of x in second question is 28, in the angle of line. The angle between a line's inclination and the x-axis's positive direction is known as the inclination.

From first fig :

26° = 2x °

x = 26 / 2 = 13

Second fig :

134° = 4x + 22

x = 134 - 22 / 4 = 28

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Answer:

the points that will fall on a line where the constant of proportionality is k are A) (6,8) and B) (3,2).

Step-by-step explanation:

A point (x,y) falls on a line where the constant of proportionality is k if y is equal to k times x. In other words, the equation for the line is y = kx.

Given this, we can determine which of the given points fall on a line where the constant of proportionality is k by evaluating whether the y-coordinate of each point is equal to k times the x-coordinate.

For example, if k = 2, then the point (6,8) falls on the line y = 2x because 8 is equal to 2 times 6. Similarly, the point (3,2) falls on the line y = 2x because 2 is equal to 2 times 3.

On the other hand, the point (6,4) does not fall on the line y = 2x because 4 is not equal to 2 times 6.

Therefore, the points that will fall on a line where the constant of proportionality is k are A) (6,8) and B) (3,2).

Note that if k is not specified, then any of the given points could potentially fall on a line where the constant of proportionality is k, depending on the value of k.

It's a right angle as 13² is the addition of 5² and 12².

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangled triangle, is a triangle with one right angle, i.e. two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.

In this case, the values given are 5, 12 and 13. This will be illustrated thus:

5² + 12² = 13²

25 + 144 = 169

169 = 169

This was done based on Pythagoras theorem.

Therefore, it's a right angle.

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The upper and lower sums for f(x) = 1 + cos - SXST, with n = 3, 4, and 6 is 10.1913798 and 10.19913798.

What is upper and lower sums?

Using rectangles that are both enscribed in and circumscribed by a curve, we may approximate the area under a curve. The total area of the rectangles that are inscribed is the lower sum, while the total area of the rectangles that are circumscribed is the higher sum.

[tex]$n=6: \quad \Delta x=\frac{2 \pi}{6}$[/tex]

[tex]\begin{aligned}& \text { Lower sum }=\frac{2 \pi}{6}\left[f(-\overline{4})+f\left(-\frac{2 \pi}{3}\right)+f\left(-\frac{\pi}{3}\right)+f(0)+f\left(\frac{\pi}{3}\right)+f\left(\frac{2 \pi}{3}\right)\right] \\& c_6=\frac{2 \pi}{6}[1+1.5+1.8660256+2+1.8660254+1.5] \\& c_6=10.1913798\end{aligned}[/tex]

upper sum:

[tex]\begin{aligned}& =\frac{2 \pi}{6}\left[f\left(-\frac{2 \pi}{3}\right)+f\left(-\frac{\pi}{3}\right)+f(0)+f\left(\frac{\pi}{3}\right)+f\left(\frac{2 \pi}{3}\right)+f(\pi)\right] \\R_6 & =\frac{2 \pi}{6}[1.5+1.8660254+2+1.8660254+1.5+1] \\R_6 & =10.1913798]\end{aligned}[/tex]

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Answer:

x=1   y=6

Step-by-step explanation:

???

Step-by-step explanation:

this is a college question ?

oh, my dear ...

we start at -426 ft.

swimming upwards reduces depth by adding hight.

so,

-426 + 212 = -214 ft

basically the same method is used as if we would subtract 212 from 426.

so, the diver is currently at -214 ft (214 ft below the surface).

a) The exponential function that models the population in t years after 2000 is of: P(t) = 14300(1.06)^t.

b) The estimate for the population in 2008 is of: 22792.

Considering it's standard format, the increasing exponential function is defined as follows:

P(t) = P(0)(1 + r)^t.

In which the parameters of the function are defined as follows:

Hence the values of these parameters are given as follows:

P(0) = 14300, r = 0.06.

Thus the function is given by:

P(t) = 14300(1.06)^t.

2008 is eight years after 2000, thus the estimate is P(8), which is obtained as follows:

P(8) = 14300 x (1.06)^8 = 22792.

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Answer:

8x4=32

Step-by-step explanation:

I hope I helped you

The degrees of freedom is [tex]12N[/tex]

What is degrees of freedom?

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample. Degrees of freedom is calculated by subtracting one from the number of items within the data sample.

[tex]\text { Least Common Multiplier of } N, 12: 12 N[/tex]

Find Least Common Multiplier of [tex]$N, 12$[/tex]

Lowest Common Multiplier [tex](LCM)[/tex]

The LCM of [tex]$a, b$[/tex] is the smallest multiplier that is divisible by both [tex]$a$[/tex] and[tex]$b$[/tex]

Factor 12

[tex]$2^2 \cdot 3$[/tex]

Multiply each factor with the highest power:

[tex]12 \mathrm{~N}[/tex]

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