How many Real solutions

Answer:

see explanation

Step-by-step explanation:

Using the translation rule (x, y ) → (x - 2, y + 4 )

Subtract 2 from the original x- coordinate and add 4 to the original y- coordinate, thus

A(0, 3 ) → A'(0 - 2, 3 + 4 ) → A'(- 2, 7 )

B(- 2, - 4 ) → B'(- 2 - 2, - 4 + 4 ) → B'(- 4, 0 )

C(1, 5 ) → C'(1 - 2, 5 + 4 ) → C'(- 1, 9 )

Answer:

B. x > 3

Step-by-step explanation:

Well we first simplify the following inequality,

3(8 - 4x) < 6(x - 5)

Distribute

24 - 12x < 6x - 30

Communicative property

-6x

24 - 18x < -30

-24

-18x < -54

Divide -18x by both sides

Which flips the < to a >.

x > 3

Thus,

the answer is B. x > 3.

Hope this helps :)

==============================================

Work Shown:

T = tens digit

U = units digit (aka ones digit)

A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).

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

Let T be larger than U. This doesn't work if T = U.

Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.

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

If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.

So,

new number = (5/6)*(old number)

10U + T = (5/6)(10T + U)

6(10U + T) = 5(10T + U)

60U + 6T = 50T + 5U

60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1

60U + 6U + 6 = 50U + 50 + 5U

66U + 6 = 55U + 50

66U - 55U = 50-6

11U = 44

U = 44/11

U = 4 is the units digit of the original number

T = U+1

T = 4+1

T = 5 is the tens digit of the original number

The original number is therefore 10T + U = 10*5+4 = 54.

We see the difference in their digits is T-U = 5-4 = 1

The reverse of 54 is 45. The number 45 is 5/6 of 54

45 = (5/6)*54

Answer:

this. question is not clear please send clear question

We can conclude that -

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have the following two functions -

y = -x

AND

y = x

Refer to the graphs attached for both the functions -

y = - x     and     y = x

The graphs as seen pass through the origin. One graph (y = x) has a slope of +1 while the other one (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.

We can conclude that -

To solve more questions on straight line, visit the link below-

https://brainly.com/question/29030795

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Answer:

[tex]x >4[/tex]

Step-by-step explanation:

[tex]x+3>19-3x[/tex]

Add 3x and -3 on both parts.

[tex]x+3+3x-3>19-3x+3x-3[/tex]

Combine like terms.

[tex]x+3x>16[/tex]

[tex]4x >16[/tex]

Divide 4 on both parts.

[tex]\frac{4x}{4} > \frac{16}{4}[/tex]

[tex]x >4[/tex]

Answer:

(5, 7.5)

Step-by-step explanation:

Each day the movie is late adds $1.50 for late fees.Then, after 5 days of past due, the total late fee would be: 5 * $1.50 = $7.50

Then the coordinate pair representing this would be: (5, 7.5)

Answer:

A. (-1,1)

Step-by-step explanation:

6x+2y = 8    

-2y =-2          

6x=6              

6x=6                  

X=1

Answer:

[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]

Step-by-step explanation:

The interior angle of a regular heptagon = = 900/7° = 128.57°

Therefore, angle DAB = 128.57°

The interior angle of the square = 90°

Therefore, angle DAC = 90°

Therefore, we have

angle DAB+ angle DAC + angle BAC = 360° (sum of angles at a point (A))

Angle BAC = 360° - angle DAB - angle DAC =  360° - 900/7° - 90° = 990/7°

Angle BAC = 141.43°

Expressing 141.43° as a common fraction gives;

[tex]141.43 ^{\circ}= \dfrac{990}{7} ^{\circ}=141\frac{3}{7} ^{\circ}[/tex]

[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]

 The degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex]

Given, A square and a regular heptagon are coplanar as shown in below figure attached.

We have find the exterior angle of BAC.

We know that, The formula that gives the interior angle measure for a regular polygon with any number of sides is,

[tex]\frac{180(n-2)}{n}[/tex]  where n is the number of sides.  

Since the heptagon has 7 no. of sides.

So regular heptagon's interior angle measures,

[tex]\frac{180(7-2)}{7}=128\frac{4}{7}[/tex]

Hence [tex]\angle A[/tex] will be[tex]128\frac{4}{7}[/tex] degrees.

We know that a square's interior angle is 90 degrees and a heptagon's interior angle is  128.57 degrees. We will subtract those from 360 degrees to find angle BAC.

[tex]\angle BAC = 360 - (\angle A + 90)\\[/tex]

[tex]\angle BAC = 360 - (128\frac{4}{7} + 90)\\\angle BAC=141\frac{3}{7} ^\circ[/tex]

Hence the degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex].

For more details on Exterior angle follow the link:

https://brainly.com/question/2125016            

Answer: $310.31

Step-by-step explanation:

Invested amount (P) = $302

Interest rate (r) = 3.3% per year

Period = 10 months

Recall, simple interest formula :

A = P(1 + rt) where ; A = final amount

Interest = 3.3% = 3.3/ 100 = 0.033

A = $302 ( 1 + 0.033(10/12))

A = $302 (1 + 0.033(0.8333333))

A = $302 ( 1 + 0.0275)

A = $302 ( 1. 0275)

A = $310.305

A = $310.31

Answer:

c. (3x^2-1)(x-7)

Step-by-step explanation:

=(3x^3-21x^2)+(-x+7)

=-(x-7)+3x^2(x-7)

=(3x^2-1)(x-7)

Answer:

37

Step-by-step explanation:

Complete Question

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy

material. The base is 0.5m² and the height is 1m.

What is the length of the pillow?

Give an exact answer (do not round).

Answer:

1.4m

Step-by-step explanation:

A wedge comes in the shape of a Triangular prism. Hence,

Volume of a wedge(Triangular prism) = 1/2 × B × H × L

b = 0.5m

h = 1 m

l = ??

Volume of a wedge = 0.35m³

0.35 = 1/2 × 0.5 × 1 × L

0.35 = 0.25 × L

L = 0.35/0.25

L = 1.4m

Answer:

hey! it's A and X on edge :)

Answer:

A.

Step-by-step explanation:

We need to find the equation where, if x is equal to 3, g(x) is equal to 1, because g(x) passes through the point (3,1)

Then, replacing x by 3 on every option we get:

[tex]g(x)=(\frac{1}{3}x)^2= (\frac{1}{3}3)^2=1\\g(x)=(\frac{1}{9}x)^2= (\frac{1}{9}3)^2=\frac{1}{9}\\g(x)= \frac{1}{3}x^2= \frac{1}{3}3^2=3\\g(x)=3x^2=3*3^2=27[/tex]

So, the answer is A. because g(x) is equal to 1

Answer:

Ф=144

Ф =s/r ( Ф is the central angle,s is the arc length, r is the radius)

find r:

radius =circumference/2π=1/2π=0.16

Ф=(2/5) /(1/2π)=4π/5=144 degree (π=180)

Ф in degrees: 144 degrees

Answer:

Length 1 - Width = 19, Area = 19

Length 2 - Width = 18, Area = 36

Length 3 - Width = 17, Area = 51

Length 4 - Width = 16, Area = 64

Length 5 - Width = 15, Area = 75

Step-by-step explanation:

Area Formula: A = lw

Since we only have a combined total of 20 m to use, we have to subtract the number of length in order to find length:

Length 1 = 20 - 1 = Width 19 m

Length 2 = 20 - 2 = Width 18 m

Length 3 = 20 - 3 = Width 17 m

Length 4 = 20 - 4 = Width 16 m

Length 5 = 20 - 5 = Width 15 m

Then we simply plug in our l values and w values into the area formula:

A = 1(19) = 19 m²

A = 2(18) = 36 m²

A = 3(17) = 51 m²

A = 4(16) = 64 m²

A = 5(15) = 75 m²

width from 1-5 =

when lem

length=1, width=19

length=2,width=18

length=3,width=17

length=4,width=16

length=5,width=15

length =1,Area=19

length=2,Area=36

length=3,area=51

length=4,area=64

length=5,area=75.

Step-by-step explanation:

to get our width, we minus each length from the given value which is 20m.

e.g.

when length =1 our width becomes 20-1=19.

and you do same for the rest.

the formula for the area was given to us in the question so we use that to find the area.

A=Length×Width.

e.g when length=1, width =19

so the area becomes 1×19=

[tex] {19m}^{2} [/tex]

please note that your area should be in

[tex] {m}^{2} [/tex]

Answer:

[tex] y = A_o (b)^t[/tex]

With [tex] A_o = 82.6[/tex] the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:

[tex] 41.3= 82.6(b)^{12}[/tex]

And solving for b we got:

[tex] \frac{1}{2}= b^{12}[/tex]

And then we have:

[tex] b= (\frac{1}{2})^{\frac{1}{12}}[/tex]

And the model would be given by:

[tex] y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}[/tex]

Step-by-step explanation:

Assuming this complete question: "A specific radioactive substance follows a continuous exponential decay model. It has a half-life of 12 hours. At the start of the experiment, 82.6g is present. "

For this case we can create a model like this one:

[tex] y = A_o (b)^t[/tex]

With [tex] A_o = 82.6[/tex] the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:

[tex] 41.3= 82.6(b)^{12}[/tex]

And solving for b we got:

[tex] \frac{1}{2}= b^{12}[/tex]

And then we have:

[tex] b= (\frac{1}{2})^{\frac{1}{12}}[/tex]

And the model would be given by:

[tex] y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}[/tex]

Answer:

(i) The area of the rabbit cage when the width is 5.2 m is 81.5 m²

(ii) The area of the rabbit cage if Wilson has 40 meters of wire mesh is 75 m²

Step-by-step explanation:

(i) The given relation of the area, A to the width P of the rabbit cage is A = 3·p²

The graph of the function between the values of 0 and 6 inclusive is found as follows;

A,              3·p²

0,               0

1,                1

2,               12

3,               27

4,               48

5,               75

6,               108

Please find attached the graph of A to 3·p²

From the graph, we have when the the width, p, of the rabbit cage = 5.2, the area, A ≈ 81.5 m²

The area of the rabbit cage when the width is 5.2 m = 81.5 m²

(ii) Also from the graph given that the total wire mess with Wilson = 40 meters, we have;

The formula for the perimeter of the cage = The formula for the perimeter of a rectangle = 2×length + 2×width

The formula for the perimeter of the cage = 2×3×p + 2× p = 8·p

Where the total length of the wire mesh available = 40 meters for the cage

The 40 meters of wire mesh will be used round the perimeter of the cage

∴ 40 m. = 8·p

p = 40/8 = 5 m.

At p = 5 m. the area is given as A = 75 m².

Therefore, the area of the rabbit cage if Wilson has 40 meters of wire mesh = 75 m².

Answer:

There are six equilateral triangles in regular hexagons

Answer:

There are 6 equilateral triangles in a regular hexagon.

Step-by-step explanation:

A regular hexagon has 6 congruent sides and can be divided into 6 congruent equilateral triangles.

There are 6 equilateral triangles in a regular hexagon.

Answer:

I believe the median is 6.5

Step-by-step explanation:

Answer: -6y= -3x-9

Since the slope is -6

y will be -6y

and the rest is -9, -3x

Answer:

5 < 10x – 3

Step-by-step explanation:

The inequality is 5 - 2x < 8x - 3.

5 < 6x – 3 is incorrect because 8x + 2x = 10x, not 6x.

3x < 8x – 3 is incorrect because 5 - 2x is not 3x, you can't subtract those terms as they are not like terms.

5 < 10x – 3 is correct because 8x + 2x = 10x.

2 – 2x < 8x is incorrect because 5 + 3 = 8, not 2.

Answer:

C on edg

Step-by-step explanation:

Answer:

for exapmle:  (2, 5)          {5=2•2.5}

                       (8, 20)        {20=8•2.5}  

                       (-5,  -12.5}    {-12.5=-5•2.5}

Step-by-step explanation:

    -3y+3x    -3y+3x

            ÷2     ÷2

Answer:

neither

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

you need to round 2.51 to 3 because it was the correct answer

Answer:

Step-by-step explanation:

4 solids cubes A, B, C and D have been made with the same material.

Since material is same density of the material (grams per cm³) will be same.

It shows that the weight of the cubes will vary in the ratio of their volumes.

Volume of cube A = 6³ = 216 cm³

Volume of cube B = 8³ = 512 cm³

Volume of cube C = 10³ = 1000 cm³

Volume of cube D = 12³ = 1728 cm³

Therefore, weights of these cubes will be in the same proportion.

Since, Volume of D = Volume of (A + B + C)

1728 = (216 + 512 + 1000)

1728 = 1728

Therefore, weights of A, B, C, D will be arranged in the same way to balance the plates of a scale.

On one side of the scale cubes A, B, and C should be placed and on the the other side of the scale cube D should be placed to balance the scale.

Answer:

10

Step-by-step explanation:

12 ÷ 1 1/5

Change to an improper fraction

12 ÷ ( 5*1+1)/5

12 ÷ 6/5

Copy dot flip

12 * 5/6

12/6 * 5

2*5

10

Answer:

10

Step-by-step explanation:

12 ÷ 1 1/5

Change into an improper fraction.

12 ÷ 6/5

Reciprocal and it becomes multiplication.

12 × 5/6

60/6

= 10

Answer:

x= -5

Step-by-step explanation:

The solution of f(x) = g(x) is where both functions intercept

they intercept in x = -5

Answer:

A i think its a A try. it it that looks correct

Answer:

Its B, 1.2EE6/1.1EE4

Step-by-step explanation:

The density is 109.9, and this is the only equation that gives you this answer

i also took the test!

Answer:B

Step-by-step explanation: x is less than 1 so it is a open circle on the graph and x is greater than or equal to -1 so it is a closed circle on -1, B has both of these so B is the answer

Answer: B. $16.13

Step-by-step explanation:

Formula : Sum of n observations = Mean x n

Given, 82 seniors earned an average $26.75 per student, 74 juniors earned an average $12.25 per student, 96 sophomores earned an average $15.50 per student, and 99 freshmen earned an average $10.85 per student.

Total students = 82+74+96+99 =351

Sum of earnings of 82 seniors  = $26.75  x 82= $2193.5

Sum of earnings of 74 juniors  = $12.25 x 74 = $906.5

Sum of earnings of 96 sophomores  = $15.50  x 96 = $1488

Sum of earnings of 99 freshmen  =  $10.85 x 99 = $1074.15

Total earnings =  $2193.5  + $906.5+  $1488 +$1074.15

= $5662.15

Average collection = (Total earnings) ÷ (Total students )

= $5662.15÷ 351

≈ $16.13

Hence, the  average collection for a student in this school = 16.31

So, the correct option is B.