What is the range of the following numbers?

Answer:

-5.5 and 0.4 (first option in your list)

Step-by-step explanation:

Please see attached image where we have graphed the expression [tex]y=6x^2+31x\\[/tex]  and the expression [tex]y=12[/tex]  and looked for the two points of intersection of the parabola (representing the first expression) with the horizontal line (second expression)

From the graphing we extract that one solution for "x" is approximately -5.5, and the other one around 0.36, which can be rounded to one decimal to: 0.4. then the closest solution is that one shown as the first option in your list.

Answer:

9x

Step-by-step explanation:

6x + 3x

6 + 3 = 9

add the x and you get 9x

i hope this helps

Answer:

6x + 3x = 9x

Step-by-step explanation:

6 and 3 have the same coefficient meaning you can combine them and add them to get 9x.

Answer:  -1≥ x > 7    or x>7  and x ≤ -1

Step-by-step explanation:

-6x + 14 < -28      

           -14  -14

-6x < -42

  x> 7        

AND

3x + 28 ≤ 25

      -28   -28

3x ≤ -3

x ≤ -1

x>7 and x≤ -1    

Answer

x>7 and x<-1

Step-by-step explanation:

1a.) -6x+14<-28

2a.) subtract 14 from 14 and -28 (what you do to one you do to other)

3a.) you are left with -6x<-42

4a.) divide by -6 eache side of "<"

5a.) you HAVE to flip the sign when you divide by a negative

6a.) x>7

1b.) 3x+28<25

2b.) subtract 28 from 28 and 25 (what you do to one you do to other)

3b.) 3x<-3

4b.) divide both sides by 3

5b.) x<-1

Answer:

-13

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Midpoint = (\frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} )\\[/tex]

6.

[tex](5.8) =(x_1,y_1)\\(-1,-4) =(x_2,y_2)\\\\Midpoint =\left(\frac{-1+5}{2},\:\frac{-4+8}{2}\right)\\\\Midpoint =( \frac{4}{2} , \frac{4}{2} )\\\\Midpoint = ( 2 , 2)[/tex]

8.

[tex](-3 ,-7) =(x_1 ,y_1)\\(3,-5)=(x_2,y_2)\\\\\left(\frac{3-3}{2},\:\frac{-5-7}{2}\right)\\ \\Midpoint = (\frac{0}{2} , \frac{-12}{2} )\\\\Midpoint = ( 0, -6)[/tex]

10.

[tex]L(-9 ,4) =(x_1 ,y_1)\\K(2 , -1 ) = (x ,y )\\M(x_2 ,y_2 )=?\\ \\x = \frac{x_2+x_1}{2}\\ 2 = \frac{x_2 +(-9)}{2}\\ 2 = \frac{x_2-9}{2}\\ Cross\:Multiply\\\\4 =x_2-9\\4+9=x_2\\13 =x_2\\\\y = \frac{y_2+y_1}{2}\\ -1 = \frac{y_2 +4}{2} \\-1 \times 2= y_2+4\\-2 =y_2+4\\-2-4 =y_2\\-6 =y_2\\\\(x_2 ,y_2) = (13 , -6)\\[/tex]

Answer:

d

Step-by-step explanation:

The speed is the independent variable because when it changes all the others change because it changed

The correct option is D. speed.

Given, As a person increases cycling speed, the rate of calorie burned, distance traveled, and energy also increase.

We have to find the Independent variable.

Since, Calories burned, distance traveled and Energy generated all are dependent on the speed of cycling. As the speed increases calories burned will be more.So speed is the independent variable here and the other variables all are dependent variable.

Hence the correct option is D. speed.

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Answer:

The value of Cov (X, Y) is 25/6.

Step-by-step explanation:

It is provided that:

[tex]X\sim U(0,10)\\\\Y|X\sim U(0,x)[/tex]

The probability density functions are as follows:

[tex]f_{X}(x)=\left \{ {{\frac{1}{10};\ 0<X<10} \atop {0;\ \text{otherwise}}} \right. \\\\f_{Y|X}(y|x)=\left \{ {{\frac{1}{x};\ 0<Y<x} \atop {0;\ \text{otherwise}}} \right.[/tex]

Then the value of f (x, y) will be:

[tex]f_{X,Y}(x,y)=\left \{ {{\frac{1}{10x};\ 0<X<10,\ 0<Y<x} \atop {0;\ \text{Otherwise}}} \right.[/tex]

Then f (y) is:

[tex]f_{Y}(y)=\int\limits^{10}_{y} {\frac{1}{10x}} \, dx[/tex]

         [tex]=\frac{1}{10}\times [\log x]^{10}_{y}\\\\=\frac{1}{10}[\log 10-\log y][/tex]

Compute the value of E (X) as follows:

[tex]E(X)=\frac{b+a}{2}=\frac{10+0}{2}=5[/tex]

Compute the value of E (Y) as follows:

[tex]E(Y|X)=\frac{b+a}{2}=\frac{x+0}{2}=\frac{x}{2}\\\\\text{Then,}\\\\E(E(Y|X))=E(\frac{x}{2})\\\\E(Y)=\frac{1}{2}\times E(X)\\\\E(Y)=\frac{5}{2}[/tex]

Compute the value of E (XY) as follows:

[tex]E(XY)=\int\limits^{10}_{0}\int\limits^{x}_{0} {xy\cdot \frac{1}{10x}} \, dx dy[/tex]

             [tex]=\int\limits^{10}_{0}\int\limits^{x}_{0} {\frac{y}{10}} \, dx dy\\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{y^{2}}{2}}|^{x}_{0} \, dx \\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{x^{2}}{2}}\, dx\\\\=\frac{1}{10}\times [\frac{x^{3}}{6}]^{10}_{0}\\\\=\frac{100}{6}\\\\=\frac{50}{3}[/tex]

Compute the value of Cov (X, Y) as follows:

[tex]Cov (X, Y)=E(XY)-E(X)E(Y)[/tex]

                 [tex]=\frac{50}{3}-[5\times\frac{5}{2}]\\\\=\frac{50}{3}-\frac{25}{2}\\\\=\frac{100-75}{6}\\\\=\frac{25}{6}[/tex]

Thus, the value of Cov (X, Y) is 25/6.

Answer:

(0, - 23 )

Step-by-step explanation:

Find the equation of the line in slope- intercept form

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 72, 25) and (x₂, y₂ ) = (- 36, 1) ← 2 ordered pairs from the table

m = [tex]\frac{1-25}{-36+72}[/tex] = [tex]\frac{-24}{36}[/tex] = - [tex]\frac{2}{3}[/tex] , thus

y = - [tex]\frac{2}{3}[/tex] + c

To find c substitute any ordered pair into the equation

Using (- 54, 13 ) , then

13 = 36 + c ⇒ c = 13 - 36 = - 23 ← y- intercept

Thus coordinates of y- intercept = (0, - 23 )

Answer:

[tex] \sqrt{49} \\ \sqrt{50} \\ \sqrt{63} [/tex]

Step-by-step explanation:

[tex] \sqrt{50} = 5 \sqrt{2} = 7.07 [/tex]

[tex] \sqrt{49} = 7[/tex]

[tex] \sqrt{63} = 3 \sqrt{7} = 7.94[/tex]

Answer:

x = 151

Step-by-step explanation:

In the figure given, x is an exterior angle of the ∆.

According to the exterior angle theorem, x = the sum of the two opposite interior angles of the ∆.

One of the opposite angles measures 101°, while the second opposite angle equal 50°, since line l is parallel to m, alternate interior angles are equal.

Therefore, x = 101 + 50 = 151°

Answer:

x^ (21/5)

Step-by-step explanation:

[tex]\sqrt[5]{x ^7}[/tex]  ^ 3

Rewriting as a fraction

x ^ 7/5  ^3

We know that a ^b^c = a^ ( b*c)

x ^ ( 7/5 *3)

x^ (21/5)

Answer: That would be x and 21/5 ths

Step-by-step explanation:

Answer:

v=w/y

Step-by-step explanation:

If w=y+v, and solving for v, then simply just divide both sides by y, and you get v=w/y.

Answer:

I think it would be: -10u - 6x 12

Step-by-step explanation:

(step 1) -2(5u - 3x-6) "First you need to times -2 by 5, 3 and -6"

that should give you -10u - 6x 12

Answer: (1, -2)

Step-by-step explanation:

The original coordinate of S is (-2, 1)

As mentioned, also in the hint, exchange the position of x and y coordinate to get the new coordinate that is reflected after y=x

(basically in the 4th quadrant)

The new coordinate of S' is (1, -2)

Hope this helps!! :)

Please let me know if you have any question

[tex]11v+9=11\cdot5+9=55+9=64[/tex].

Hope this helps.

Answer:

64

Step-by-step explanation:

9v + 9 + v + v

Combine like terms

11v+9

Let v = 5

11*5+9

55+9

64

Answer: the arc elasticity percentage change from 80 to 100 is 22%

Step-by-step explanation:

formula for arc-elasticity percentage change is given as;

{ [Xₙ - X₀]  / [ (X₀+Xₙ) / 2] } × 100

X₀ is old value, Xₙis new value

Now from our question

old value X₀ = 80

new value Xₙ = 100

WE SUBSTITUTE

Arc-Elasticity = { [100 - 80]  / [ (80+100) / 2] } × 100

Arc-Elasticity = { [20]  / [ 180 / 2] } × 100

Arc-Elasticity = (20/90)  × 100

Arc-Elasticity = 22.22 ≈ 22%

Therefore the arc elasticity percentage change from 80 to 100 is 22%

In this exercise we have to use the percentage knowledge, in order to calculate the arc elasticity, so:

the arc elasticity percentage is 22%

First, we have that the formula for the elastic arc is:

[tex]([X_n - X_0] / [ (X_0+X_n) / 2] } * 100[/tex]

Informed the exercise data as:

Substituting the values ​​in the formula given above, we find that:

[tex]Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } * 100\\Arc-Elasticity = { [20] / [ 180 / 2] } * 100\\Arc-Elasticity = (20/90) *100\\Arc-Elasticity = 22%[/tex]

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actually it will be easier for you to know it if you convert it into decimal.

So

James = 4/5 = 0.8

Eric = 7/9 = 0.78

So James ate more

Answer:

James ate more of his banana

Step-by-step explanation:  You would convert the fractions into the same denominator.  And then  you can compare.

36/45   35/45

Answer:97.54

Step-by-step explanation:

Answer:

97.54

Step-by-step explanation:

  1 1

63.55

 31.99

+  2.00

________

97.54

The next number in the sequence is 8

The area of a 2D form is the amount of space within its perimeter. The measure of the side of the canvas is closest to 9 inches. The correct option is B.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Therefore, the area of the canvas will be equal to the area of the fabric. Thus, we can write,

Area of the canvas = Area of the fabric

Since the area is square, therefore,

Area of the canvas = Area of the fabric

Area of the canvas = 77.8 in.²

Side of the canvas = √(77.8 in.²)

Side of the canvas = 8.82 inches ≈ 9 inches

Hence, the measure of the side of the canvas is closest to 9 inches.

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Answer:

See attached image

Step-by-step explanation:

We can easily graph the equation if we know it’s y and x intercepts. We can plot these points on a coordinate plane then connect them using a ruler, then extend these further.

Mathematically, we can find the slope which is rise over run. Every time x increases by 5, y increases by 6. This means the slope is [tex]\frac{6}{5}[/tex]. We also know the y-intercept is -6, so the equation is [tex]y=\frac{6}{5}x - 6[/tex].

Hope this helped!

Answer:

$331

Step-by-step explanation:

$12.25 per hour

27 hours

$12.25 • 27 = $330.75

Answer:

y= 407.54654 ft

Step-by-step explanation:

This is an exponential decay functions

y = ab^x  where a is the initial value and b is ( 1 - rate of decay)

a = 520

b = 1- 3%

y = 520 ( 1- .3) ^x

y = 520 ( .97) ^x

We want x to be 8 weeks

y = 520 ( .97) ^8

y= 407.54654 ft

An additive inverse of a number (x) is a number which when added to x results in being 0.

The given problem is -3 - (-6)

The additive inverse of -6 is 6

-3 -(-6) = -3 + 6 = 3

Communities property: 6-3 = 3

The answer is:

Because -3+6 is an equivalent expression, the answer is 3

Hey There!!~

Answer: 42

Because, 55 + 72 = 127. After you should do 3 ÷ 127. The divisor (3) goes into the first digit of the dividend (1), 0 times. Therefore, put 0 on top. Then you should Multiply the divisor by the result in the previous step (3 × 0 = 0) and write that answer below the dividend. After that Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.  Move down the 2nd digit of the dividend in the below. The divisor (3) goes into the bottom number (12), 4 time(s). Therefore, put 4 on top... Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom. Move down the last digit of the dividend in the below. The divisor (3) goes into the bottom number (7), 2 time(s). Therefore put 2 on top, Multiply the divisor by the result in the previous step (3 x 2 = 6) and write the answer at the bottom... Subtract the result in the previous step from the number written above it. (7 - 6 = 1) and write the answer at the bottom.  The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 127 divided by 3 calculated using Long Division is

Answer: 42 and Remainder 1.

Hope This Helps!!~

[tex]Itsbrazts[/tex]

Hey There!! ~

The answer to this is: 79. Because, First you need to add fiifty five and seventy two which that will be 127 Then, Add fifity five and seventy two Plus, Divide three Then. you should get the answer 79.

Hope It Helps!~                                                                                          [tex]ItsNobody[/tex]~  

Answer:

zx - 100y = 0

Step-by-step explanation:

Since, x% of z is equal to y

[tex] \therefore \: \frac{x}{100} \times z = y \\ \therefore \: \frac{xz}{100} = y \\ \therefore \: zx = 100y \\ \therefore \: zx - 100y = 0[/tex]

The literal equation that represents x% of z is equal to y will be xz = 100y.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

x% of z is equal to y.

Then the literal equation that represents x% of z is equal to y will be given as,

x% of z = y

xz / 100 = y

xz = 100y

The literal equation that represents x% of z is equal to y will be xz = 100y.

More about the percentage link is given below.

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Answer:

the answer would be 16 to 3 which can also be shown as 16:3

Step-by-step explanation:

this is because it is asking for candles first so you put 16 next they ask for books so that is why you put 3 next

Answer:

Step-by-step explanation:Let Ali's number of sweets be x

so let Steve's number of sweet be x + 30

hence the equation is x/(x  + 30)= 2/7

or, 7x = 2(x + 30)

or, 7x= 2x +60

or,7x-2x=60

or, 5x=60

or, x=60/5

or, x=12

Alif gets 12 sweets

x+30

or, 12+30

=42

Ans:Steve gets 42 sweets.