Which function represents the following graph?
X

[tex](\frac{3}{2},\frac{5}{2})[/tex]

The first equation can be rearranged by subtracting y from both sides. This gives you x = 4 - y.

The second equation is x = y - 1

Therefore, as both equations are equal to x, you can say that they are equal to each other, so 4 - y = y - 1.

If you add 1 to each side, you get 5 - y = y

If you add y to each side, you get 5 = 2y

Divide both sides by 2 to get y = 5/2

Now you can substitute 5/2 for y. For example, the second equation becomes x = 5/2 - 1

x is therefore 3/2

This can  be written as [tex](\frac{3}{2},\frac{5}{2})[/tex], which is the final answer.

Answer:

  1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

The relation between sine and cosine is the identity ...

  sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

  sin(x) = √(1 -cos(x)²)

For the present case, using the given cosine value, we find ...

  sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

  sin(x) = 1/2

__

Additional comment

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

  sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.

Answer:

3. 125

4. 115

5. m<1 = 70, m<2 = 55, m<3 = 55

6. m<2 = 50, m<3 = 50, m<4 = 80, m<6 = 130

The answer is 2c.

Applying the Law of Exponents,

Answer:

15

Step-by-step explanation:

from the first then it is 0+7=7

and from the last it is 0+8=8

then the number of cars available in the station is 8+7=15

The feet of cloth that she should buy for the capes is 4 feet.

The mathematical operations that would be used to determine the answer are addition and multiplication.

Addition is the process of summing two or more numbers together. Multiplication is the process of determining the product of two or more numbers.

The first step is to convert yard to feet

According to the unit of conversion : 1 yard = 3 feet

1 x 3 = 3 feet

The second step is to add the feet needed for Akira's cape with the foot needed for the puppy's cape

Total feet needed = 3 + 1 = 4 feet

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By definition of perimeter, direct observation and Pythagorean theorem, the perimeter of kite OBDE is 38 units. (Correct choice: C)

In geometry, the perimeter is the sum of the lengths of the sides of a figure.  Herein we must determine the perimeter of a quadrilateral, the kite OBDE, that is, the sum of the lengths of its four sides:, which can be found both by direct observation or by the use of the Pythagorean theorem.

Please notice that the quadrilateral has an axis of symmetry passing through the points O and D, which implies that OB = OE and BD = DE. The length of sides BD and DE is 6 units and the length of the sides OB and DE are:

OB = DE = 0.5 · √(24² + 10²)

OB = DE = 13

Lastly, the perimeter of kite OBDE is p = 2 · 6 + 2 · 13 = 38 units.  

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Answer:  C. 38 units

Step-by-step explanation:  TRUST ME!!! Answer is correct on Edge!!!  :)

Just did it and got it correct!

The correct option is B.

Rank

The RANK function in a Microsoft Excel spreadsheet enables users to order the various pieces of data by their numerical values. By entering an absolute value for the range of cells the user wants to rank, they can also use the rank function. If an absolute value is not specified, the program's auto-formula may cause the rank of the various cells to alter.

A spreadsheet is a computer program used for organizing, organizing, analyzing, and storing tabular data. Spreadsheets were created as electronic alternatives to paper accounting worksheets. Data typed into table cells serves as the program's input.

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Answer: 57

I'm pretty sure that's what it is

Step-by-step explanation:

Answer: i believe the answer is 26

Step by step explanation

Total no. of observation = (12+13) = 25

Median = Average of 18/2 observation + (18/2+1)

=1/2 (12th observation + 13 observation)

1/2 × (25 +27) = 1/2 × 52

=26

The graph in the question is of the function f(x)=[tex]log _{0.2}x[/tex] which is option a.

Given a graph which is downward sloping and we are required to find the function whose the graph is.

Function is like a relationship between two or more variables expressed in equal to form. It may be a linear function,exponential function, logarithmic function or quadratic function.

In the given graph the values of y becomes negative when the curve crosses then x axis. For all x>1 the value of log x is greater than 0. So the value of [tex]log_{2}x,log_{4}x,log_{20}x[/tex] should be greater than 0 for x greater than 1. But in graph it is negative. That's why the graph will be of y=[tex]log_{0.2}x[/tex].

Hence the given graph is of the function f(x)=[tex]log _{0.2}x[/tex] which is option a.

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Answer:

  180 yards

Step-by-step explanation:

The number of yards she sprints on day 21 can be found by evaluating the formula with n=21.

  a21 = 100 +(21 -1)4 = 100 +(20)(4) = 100 +80 . . . . . use 21 in place of n

  a21 = 180

Marika sprints 180 yards on day 21.

The percentage reduction of the price of the video game from 60 to 45 was 25%.

The percentage reduction refers to the fractional reduction in the price of the video game.

This implies that a percentage is a fraction of a value.  Percentages are calculated over 100.

A percentage is, therefore, a number or ratio expressed as a fraction of 100, often denoted using the "%" sign.

The old price of the video game = 60

The new price of the video game = 45

Reduction in price = 15 (60 - 45)

Percentage reduction = 25% (15/60 x 100)

Thus, the percentage reduction of the price of the video game from 60 to 45 was 25%.

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Answer:

a = 97° , b = c = 146°

Step-by-step explanation:

a and 83° are same- side interior angles and sum to 180°

a + 83° = 180° ( subtract 83° from both sides )

a = 97°

34° and b are same- side interior angles and sum to 180°

b + 34° = 180° ( subtract 34° from both sides )

b = 146°

b and c are corresponding angles and are congruent , so

c = b = 146°

Answer:

< a = 97 degrees.

< b = 146 degrees.

< c = 146 degrees.

Step-by-step explanation:

We have 2 lines crossing 2 parallel lines.

Internal angles between the 2 parallel lines add up to 180 degrees, so

34 + <b = 180

<b = 180 - 34 = 146 degrees

Also

<a + 83 = 180 degrees (also internal angles)

---> <a = 97 degrees

< c and < b are corresponding angles so are congruent, therefore

<c = < b = 146 degrees.

Answer:

The answer would be (7, 18)

Step-by-step explanation:

The answers simple,

in the equation y=|-3x+3|

x and y would be said like this (x,y). just like the answer choices

now in the first option, x is R, so i couldn't understand that. so I'm gonna skip that.

in the second one, (7,0) would no work as

0=|-3(7) + 3|

0=|-21+3|

0=|-18|

and since "|" is absolute value, meaning that instead of the number being negative or positive the number will just be translated into how much distance is from the number and 0, or just make the number positive.

lets continue,

0=18, so (7,0)

the second one, (7,-18)

-18=|-3(7)+3|

-18=|-18|

again, its absolute value so

-18=18, so it still doesn't work

the last one, (7,18)

18=|-3(7)+3|

18=|18|

18=18

so (7,18) would work.

Answer: (-1, 1)

Step-by-step explanation:

Since the graph is already given, we could directly refer to the intersecting point of the system of equations.

According to the graph, [ y = 2x + 3 ] and [ y = -x ] intersect at (-1, 1).

Therefore the solution is [tex]\Large\boxed{(-1,1)}[/tex]

Given equation

1) y = 2x + 3

2) y = -x

Substitute the y value in the 1) equation by the 2)

(-x) = 2x + 3

Add x on both sides

-x + x = 2x + 3 + x

0 = 3x + 3

Subtract 3 on both sides

0 - 3 = 3x + 3 - 3

-3 = 3x

Divide 3 on both sides

-3 / 3 = 3x / 3

x = -1

Substitute the x value into one of the equations to find the y value

y = -x

y = - (-1)

y = 1

Therefore, the solution is [tex]\Large\boxed{(-1,1)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer: Answer is B, Mark me brainliest please

Step-by-step explanation:

(i) The percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

The probability exists in the analysis of the possibilities of happening of an outcome, which exists acquired by the ratio between favorable cases and possible cases.

The number of students who got high scores in Mathematics was 75%.

The number of students who got high scores in English was 65%.

(i) The percentage of students who got high scores in both the subjects

100% - 6% = 94%

(75% + 65%) - 94%

= 140% - 94%

= 46%

Therefore, the percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam

= 300 [tex]*[/tex] 46%

= 300 [tex]*[/tex] (46 / 100)

= 300 [tex]*[/tex] 0.46

= 138.

Therefore, the total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

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The unit rate of the proportional relationship y = 3x is 3

The proportional relationship is given as:

y = 3x

Divide both sides by x

y/x = 3

For a proportional relationship y/x = k;

The unit rate is 3

This means that the unit rate of the proportional relationship y = 3x is 3

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Answer:

4) 7a+20

5) 14+2b

6) 25c² - 15

Step-by-step explanation:

4) 9a+7-2a+13= 9a-2a+7+13 = 7a+20

5) 21-3b+5b-7= 21-7+5b-3b = 14+2b

6) (3c)² + (8c)² - 15 = 9c² + 16c² - 15 = 25c² - 15

Answer:

91.5[tex]cm^{2}[/tex]

Step-by-step explanation:

The area of the rectangle:

a = lw

a =(21)(3) = 63

The area of the square:

a = lw

a = (5)(5) = 25

The area of a half circle:

a=[tex]\frac{\pi r^{2} }{2}[/tex]

a= [tex]\frac{3.14(1.5^{2}) }{2}[/tex]

a = [tex]\frac{3.14(2.25)}{2}[/tex]

a = [tex]\frac{7.065}{2}[/tex]

a = 3.5 rounded to the nearest tenth

63 + 25 + 3.5 =91.5

Answer:

10 is the right answer...

Step-by-step explanation:

thanks

mark me as brainlist....

Answer: A

Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.

Answer:

Step-by-step explanation:

400*60% can be rewriten as 400×0.6 which is 240, so a is false.

the same steps can be repeated for b and c

b) 200*0.6=120, therefore is false

c) 120*0.6=72, therefore is false

2)

[tex]60 percent * x=87\\0.6x=87\\x=\frac{87}{0.6} \\\\x=145[/tex]

Now we check the answer by using the same steps in problems a,b,c

[tex]145*0.6=87\\87=87[/tex]

3)

[tex]0.6c=43.2\\c=\frac{43.2}{0.6} \\c=72[/tex]

and finally

[tex]0.38e=190\\e=\frac{190}{0.38} \\e=500[/tex]

Using the fundamental theorem of calculas the derivative of function g(x)=[tex]xt^{3}+t^{5}[/tex] at x=0 is [tex]t^{3}[/tex].

Given a function g(x)=[tex]xt^{3}+t^{5}[/tex].

We are required to find the derivative of the function g(x) at x=0.

Function is relationship between two or more variables expressed in equal to form. The values entered in a function are part of domain and the values which we get from the function after entering of values are part of codomain of function. Differentiation is the sensitivity to change of the function value with respect to a change in its variables.

g(x)=[tex]xt^{3}+t^{5}[/tex]

Differentiating with respect to x.

d g(x)/dx=[tex]t^{3}[/tex]+0  [Differentiation of x is 1 and differentiation of constant is 0]

=[tex]t^{3}[/tex]

Hence using the fundamental theorem of calculas the derivative of function g(x)= [tex]xt^{3}+t^{5}[/tex] at x=0 is [tex]t^{3}[/tex].

The function given in the question is incomplete. The right function will be g(x)=[tex]xt^{3}+t^{5}[/tex].

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.

1  1 / 6  litres of water is needed to watering the entire garden at the given rate.

We need to find how many litres of water is needed to watering the entire garden at this rate.

Let the total garden be x  parts then,

Therefore,

2 / 7 x  = 1 / 3

cross multiply

2x × 3 = 7

6x = 7

divide both sides by 6

6x / 6 = 7 / 6

x = 1 1 / 6

Therefore, Thus,  1 1 / 6  litres of water is needed to watering the entire garden at the given rate.

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Answer:

3

Step-by-step explanation:

The interquartile range is where the 2nd and 5th dots are, on the opposite ends of the square, from 15-18.

Answer:

3

Step-by-step explanation:

The interquartile range (IQR) is the difference between the upper quartile (Q₃) and the lower quartile (Q₁).

In a box plot:

From inspection of the given box plot:

Therefore:

IQR = Q₃ - Q₁

      = 18 - 15

      = 3

So the interquartile range of the given box plot is 3.

m1 x m2 = - 1

Rearrange 4x + 2y = 8.

4x + 2y = 8

-4x, then ÷ 2

y = - 4x + 8 / 2

y = - 2x + 4

m1 = - 2, find reciprocal of - 2, by placing 1 over the 2

So, - 2 will become - 1/2, but multiplying this gives us a positive 1. Thus, m2 = 1/2

m1 x m2 = - 1

-2 x 1/2 = - 1

That means slope perpendicular to the line

4x + 2y = 8 is y = 1/2x, where a half is the gradient/slope.

Ans: 1/2

Hope this helps!

The value of x in the triangle is 4

The complete question is added as an attachment

From the question, the given parameters are as follows:

Hypotenuse = 8

Adjacent = x

Angle = 60

The cosine of the angle is then calculated as:

cos(angle) = Adjacent/Hypotenuse

Substitute the known values in the above equation

cos(60) = x/8

Multiply both sides by 8

x = 8 * cos(60)

Evaluate the product

x = 4

Hence, the value of x in the triangle is 4

So, the complete parameters are:

Hypotenuse = 8

Adjacent = x

Angle = 60

x = 4

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Answer:

Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.

Step-by-step explanation:

The answer above is correct.