5/6+7/8 must be simplified

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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Explanation:

Take note that the x and y coordinate of this vector are the same.

This leads to a 45-45-90 reference triangle. If the vector was in the first quadrant (the northeast), then the answer would be 45 degrees.

However, we need to add on 180 so we get to the third quadrant instead where x and y are both negative. This gets us to 180+45 = 225 degrees

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If you wanted to use a calculator, then you would compute the value of \(\tan^{-1}(b/a)\) where <a,b> is the vector in question.

Since a = b in this case, we have b/a = 1 and the arctangent of this is 45 degrees. The adjustment of adding on 180 still applies like from before.

The solutions for the given equation are x=−1,1,√2,−√2. Therefore, option B is the correct answer.

The given equation is x⁸-4x⁷+3x⁶+8x⁵-15x⁴+4x³+9x²-8x+2=0.

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Here, (x⁸-4x⁷+8x⁵+4x³)+3x⁶-15x⁴+9x²+2=0

(x-1)⁵(x³+x²-2x-2)=0

(x-1)⁵(x²-2)(x-1)=0

(x-1)⁵=0, (x²-2)=0 and (x-1)=0

x=±1 x=±√2 and x-1

Exact Form: x=−1,1,√2,−√2

Therefore, option B is the correct answer.

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Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.

A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.

Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.

According to the given information:

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Answer: we have

--------> inequality A

--------> inequality B

Using a graphing tool

the solution of the inequality A is the shaded area above the dashed line  

see the attached figure N        

the solution of the inequality B is the shaded area below the dashed line  

see the attached figure N

therefore

the solution of the compound system of inequalities is the shaded area between the two dashed lines

see the attached figure N

therefor

the answer in the attached figure N

The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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Answer: Undefined, see attached picture

Step-by-step explanation:

Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

yessssss I cannnnnnn helppppp youu

\( \frac{ - 12}{c} = 6 \\ \)

Inverse both sides

\( - \frac{c}{12} = \frac{1}{6} \\ \)

Multiply both sides by - 12

\(( - 12) \times - \frac{c}{12} = ( - 12) \times \frac{1}{6} \\ \)

\(c = - 2\)

There u go have a great day ❤

Answer:  C = -2

Step-by-step explanation:  Well if you times 2x3 that = 12.  So -2= c.

I am really sorry if this is wrong. I tried my best.  :-)

Hope you have a wonderful day !

Answer:

1040

Step-by-step explanation:

Answer:

29 days

Step-by-step explanation:

1200(1.024)^n = 2400

(1.024)^n = 2

n log 1.024 = log 2

n = (log 2) / log1.024 = 29 days

Answer:

9

Step-by-step explanation:

18/2 can either be expressed as a fraction or a division problem (18÷2). You can simplify 18/2 as 9/1 OR solve 18÷2=9.

The fraction ( 18/2 ) expressed as a whole number is A = 9

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the numerator of the fraction be represented as p

Let the denominator of the fraction be represented as q

So , A = p/q

On simplifying the fraction , we get

A = 18/2

A = 9

So, the value of A is 9

Hence , the whole number is A = 9 which is the simplest form of the fraction 18/2.

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The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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Answer:

x=6

Step-by-step explanation:

Rearrange terms:

8+x=14

x+8=14

Subtract 8 from both sides and simplify.

Given :-

To find :-

Solution :-

8+x = 14

x = 14-8 (Signs change when transferred to opposite side)

x = 6

My brother, who is always pushing my buttons, keeps taking my things.

State-​ment ˈ : something stated: such as. : a single declaration or remark : assertion. : a report of facts or opinions. : the act or process of stating or presenting orally or on paper.

Here , the required answer is.

My brother, who is always pushing my buttons, keeps taking my things.

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Answer:

$3108

Step-by-step explanation:

Use the formula: Interest = Principal(rate)(time)

I = Prt

P: 7400

t: 4

r: 10.5% convert to a decimal   10.5/100 = 0.105

I = 7400(4)(0.105)

I = 3108

Answer:

\(2 ^ { 4 } \times 2 ^ { - 7 }\\= 2^{4 + (-7)} \\= 2^{-3} \\= \frac{1}{2^{3} } \\=\boxed{ \frac{1}{8} }\)

Hope it helps ⚜

Answer:She receives a monthly salary of $2,500 for which she must sell $20,000 wo

Step-by-step explanation:

Answer:

$283. 81

Step-by-step explanation:

Start with P = 200.00 dollars.

If the interest is compounded continuously, then after t = 7 years the at the rate r = 5% = .05, the total amount of money in the account will be A.

\(A= P e^{r*t}\)

\(A = 200*e^{.05*7}\)

A = 283.8135097

A ≈ $283. 81

Answer: exponential with a decay rate of

Step-by-step explanation:

Answer:

(1,4)

(0,0)

Step-by-step explanation:

smarts

Answer:

1,4

0,0

Step-by-step explanation:

whatever is in the purple is valid and the closed line is inclusive so anything on it counts but the dotted line is exclusive

Answer:

hi

Step-by-step explanation:

a has the greater value

Answer:

They have the same B value, B value is the Y-intercept, where the graph starts, both B-values are equal to 1. I'm pretty sure that's correct

Answer:

  14 4/9 km/h, about 14.4 km/h

Step-by-step explanation:

You want to know the average speed of a river cruise boat that travels upstream and downstream in one day if the boat's speed is 18 km/h and the current speed is 8 km/h.

When the boat travels the same distance upstream and back, its average speed is the harmonic mean of the speeds upstream and down. Those speeds are, respectively, the difference of the boat speed and current, and their sum.

  harmonic mean = n/(1/x1 +1/x2 +1/x3 +... +1/xn)

  average speed = 2/(1/(18-8) +1/(18+8)) = 2/(1/10 +1/26) = 2·10·26/(10 +26)

  average speed = 520/36 = 14 4/9 . . . . km/h

The average rate of speed of the cruise ship during the time it is moving is 14 4/9 km/h, about 14.4 km/h.

__

Additional comment

The average speed is the distance divided by the time. If the distance upstream is 'd', then the time upstream is d/(18 -8) = d/10. Similarly, the time downstream is d/26, and the total time is d(1/10 +1/26) = d(36/260).

Then the average speed over the distance 2d is ...

  2d/(d(36/260)) = 520/36 . . . . as above

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The cost of the manicure (b) is,

⇒ b = $4.275

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Delaney gave her nail technician a $4.50 tip.

And, The tip was 5% of the cost of the manicure.

Now, Let the cost of the manicure = b

Hence, We get;

⇒ b = $4.50 - 5% of 4.50

⇒ b = 4.50 - 5/100 × 4.50

⇒ b = 4.50 - 5 × 0.045

⇒ b = 4.50 - 0.225

⇒ b = $4.275

Thus, The cost of the manicure (b) is,

⇒ b = $4.275

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Answer:

140 days

Step-by-step explanation:

there are 7 days in 1 week so just multiply 20 by 7 which is 140, to make it easier multiply 2 by 7 which is 14 then add the 0 soo 140.

Hope this helps :)

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

Here, r= 0.80

\(\Rightarrow\ r^2= (0.80)^2=0.64\)

That means 64% of the variability in weight can be explained by the relationship with height.

The variability in weight is 64 % , explained by the relationship with height.

Correlation coefficients are always values between -1 and 1, where -1 shows a perfect, linear negative correlation, and 1 shows a perfect, linear positive correlation.

The correlation coefficient is measure the strength of the linear relationship between two variables in a correlation analysis.

Correlation coefficient is represented by r.

Given that, the correlation between height and weight for adults is 0.80.

                   \(r=0.8\)

The variability in weight is, = \(r^{2}=(0.8)^{2} =0.64\)

Thus, the variability in weight is 64 % , explained by the relationship with height.

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The number of boys in class is 18.

The total number students in class is 30.

Given the ratio of girls and boys in class is 2:3  

Let, the number of girls = 2x

The number of boys = 3x

According to question, the number of girls in class = 12

2x = 12

x = 12/2  

x = 6

So, the number of boys in the class is = 3x = 3*6 = 18

Hence the total number of student in class = 12+18 = 30

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