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Given equations;

y₁ = 3x - 8               -------------------(i)

y₂ = 0.5x + 7          --------------------(ii)

To fill the table, substitute the values of x into equations (i) and (ii)

=> At x = 0

y₁ = 3(0) - 8 = -8

y₂ = 0.5(0) + 7 = 7

=> At x = 1

y₁ = 3(1) - 8 = -5

y₂ = 0.5(1) + 7 = 7.5

=> At x = 2

y₁ = 3(2) - 8 = -2

y₂ = 0.5(2) + 7 = 8

=> At x = 3

y₁ = 3(3) - 8 = 1

y₂ = 0.5(3) + 7 = 8.5

=> At x = 4

y₁ = 3(4) - 8 = 4

y₂ = 0.5(4) + 7 = 9

=> At x = 5

y₁ = 3(5) - 8 = 7

y₂ = 0.5(5) + 7 = 9.5

=> At x = 6

y₁ = 3(6) - 8 = 10

y₂ = 0.5(6) + 7 = 10

=> At x = 7

y₁ = 3(7) - 8 = 13

y₂ = 0.5(7) + 7 = 10.5

=> At x = 8

y₁ = 3(8) - 8 = 16

y₂ = 0.5(8) + 7 = 11

=> At x = 9

y₁ = 3(9) - 8 = 19

y₂ = 0.5(9) + 7 = 11.5

=> At x = 10

y₁ = 3(10) - 8 = 22

y₂ = 0.5(10) + 7 = 12

The complete table is attached to this response.

(ii) To find the solution of the system of equations using the table, we find the value of x for which y₁ and y₂ are the same.

As shown in the table, that value of x = 6. At this value of x, the values of y₁ and y₂ are both 10.

because the multiplication Slope of 2 perpendicular is -1

Answer:

length = 22

Width = 17

Step-by-step explanation:

78 = 2(w+5) + 2(w)

78 = 2w + 10 + 2w

78 = 4w + 10

68 = 4w

w = 17

l = 17 + 5 = 22

Answer:

[tex]9x - 10y = - 34 - - - (a) \\ 3x - 4y = - 16 - - - (b) \\ (a) - 3 \times (b) : \\ 0x + 2y = 14 \\ y = 7 \\ 3x - (4 \times 7) = - 16 \\ 3x = 12 \\ x = 4[/tex]

answer: ( 4, 7 )

Hi there!  

»»————-　★　————-««

I believe your answer is:  

(4,7)

»»————-　★　————-««  

Here’s why:  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

7480 hours

Step-by-step explanation:

440 - 100 = 340

LCM of 440 and 340

440 = 2 × 2 × 2 × 5 × 11

340 = 2 × 2 × 5 × 17

LCM = 2 × 2 × 2 × 5 × 11 × 17

LCM = 7480

9514 1404 393

Answer:

  D

Step-by-step explanation:

The exponential function is decreasing everywhere, so the base of the exponent must be less than 1. Only one answer choice fits.

Answer:

(x-8)(x+4-i)=x^2+4x-ix-8x-32+8i=x^2-(4+i)x-32+8i

y=x^2-(4+i)x-32+8i

Check:

D=16+8i-1+128-32i=143-24

Answer:

Hello! answer: 17

Step-by-step explanation:

15 × 15 = 225

8 × 8 = 64

225 + 64 = 289

√289 = 17 17 × 17 = 289 Therefore the answer is 17 hope that helps!

Answer:

17

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]8^{2} + 15^{2} = c^{2}[/tex]

289 = [tex]c^{2}[/tex]

square root both sides

c = 17

Answer:

No

Step-by-step explanation:

The coefficents of x³ and x² are 1 and -6 respectively

neither has a factor of 4

Answer:

8,648,640 different lineups are possible.

Step-by-step explanation:

The order in which the musics are there is important(lineup means that order matters), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

How many different lineups are possible?

7 musics from a set of 13. So

[tex]P_{(13,7)} = \frac{13!}{(13-7)!} = \frac{13!}{6!} = 8648640[/tex]

8,648,640 different lineups are possible.

Answer:

46-22= 24

Therefore, the answer is ;

A.24

Answer:

x = 6

m<1 = 20°

m<CFE = 140°

Step-by-step explanation:

m<1 = (3x + 2)°

m<2 = (5x - 10)°

✔️Given that FB bisects AFC, therefore,

m<1 = m<2

Substitute

3x + 2 = 5x - 10

Collect like terms and solve for x

3x - 5x = -2 - 10

-2x = -12

-2x/-2 = -12/-2

x = 6

✔️m<1 = 3x + 2

Plug in the value of x

m<1 = 3(6) + 2

m<1 = 18 + 2

m<1 = 20°

✔️m<CFE = 180° - m<AFC (angles on a straight line)

m<CFE = 180° - (m<1 + m<2)

m<CFE = 180° - (20 + 20)

m<CFE = 180° - 40°

m<CFE = 140°

Answer:

Step-by-step explanation:

y = 3x³ -4

the inverse is found by changing x with y and y with x than solve for y

x = 3y³ -4

x+4 = 3y³-4+4; add 4 to both sides

x+4 = 3y³

(x+4)/3 =y³ ;divide both sides by 3

∛((x+4)/3) = y ;cube root both sides

the inverse function of f(x) =3x³-4 is

[tex]f(x)^{-1} =\sqrt[3]{\frac{x+4}{3} }[/tex]

Answer:

x = 48.

Step-by-step explanation:

If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.

9514 1404 393

Answer:

  43.1 in³

Step-by-step explanation:

The volume can be computed using the formula ...

  V = (π/4)d²h . . . . where d is the diameter and h is the height

For your dimensions, the volume is ...

  V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³

A full can contains a volume of about 43.1 cubic inches.

Answer:

Between 4 and 5

Step-by-step explanation:

Given

See attachment for graph

Required

Between which points is g(x) = 0

From the attachment, we can see that the graph crosses the x-axis at 4... and -1...

This means that

g(x) = 0 between 4 and 5

g(x) = 0 between -1 and -2

Going by the available options,

g(x) = 0 between 4 and 5

Answer:

Below

Step-by-step explanation:

To find the volume of a cone, you can use the equation V=π r^2 (h/3)

Because the diameter is 7, the radius is 3.5 inch ( r=1/2 d)

V = π (3.5^2)(37/3)

   = 474.64 in^3

I hope that is correct good luck!

Answer:

474.642

Step-by-step explanation:

To find out the volume of the cone is using V= 1/3 TTR^2 * H

We know TT is pie, pie is 3.19 and the radius of the cone is 3.5 inches because half of seven is 3.5.

V=1/3 3.14 * 3.5 * 3.5 * 37 = 474.642

Answer:

1. True, because when performing the calculations in both sides of the equation, we find that the left value is indeed the same as the right value

4-3+5 = 1+5 = 6

-6+8+4 = 2+4 = 6

6=6, so the sentence is correct

2+5 = 19-12 => 7=7, true

5-4-3-2-1 = 30-34-1 => -5=-5, true

2(x+5)-4x = 3(x-2)-5x+16

=> 2x+10-4x = 3x-6-5x+16

=> -2x+10 = -2x+10, true

Step-by-step explanation:

the other two sentences lead to false

4/5 + 1/5 = 2 - 1 - 1, => 5/5 = 1 = 0, false

2(x+8) = 2x-8, => 2x+16 = 2x-8 => 16=-8, false

Answer:

first and third option are correct.

Step-by-step explanation:

6(x+3)

=6*x + 6*3

=6x + 18

Answer:

M) = 17

Step-by-step explanation:

You stated the answer right there. I think the question is missing more info but for now M=17

#CarryOnLearning

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

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

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-3+a}{2}=2[/tex]

[tex]-3+a=2\times 2[/tex]

[tex]a=4+3[/tex]

[tex]a=7[/tex]

And,

[tex]\dfrac{3+b}{2}=0[/tex]

[tex]3+b=0[/tex]

[tex]3+b-3=0-3[/tex]

[tex]b=-3[/tex]

Therefore, the coordinates of point B are (7,-3).

Answer:

[tex] \displaystyle C = 12[/tex]

Step-by-step explanation:

remember circumference formula

[tex] \displaystyle C = 2\pi r[/tex]

given that,r=2 thus substitute:

[tex] \displaystyle C = 2\pi .2[/tex]

simplify mutilation:

[tex] \displaystyle C = 4\pi [/tex]

substitute the given value of π:

[tex] \displaystyle C = 4.3[/tex]

simplify multiplication:

[tex] \displaystyle C = 12[/tex]

and we are done!

Answer:

C = 12.

Step-by-step explanation:

Given :-

To find :-

Formula for finding circumference of circle;

Circumference of circle = 2 × π × radius.

Solution :-

Circumference of circle = 2 × π × radius.

Circumference of circle = 2 × π × 2

Circumference of circle = 4 π.

Circumference of circle = 4 × 3

Circumference of circle = 12

Answer:

A)

[tex]f(x)=x^(2)-2x+3[/tex]

Step-by-step explanation:

Answer:

option a

pls give brainliest

Step-by-step explanation:

9514 1404 393

Answer:

  f(5) = 160

Step-by-step explanation:

The first several terms of the sequence are ...

  10, -20, 40, -80, 160, -320, 640, ...

Each term is -2 times the previous term.

  f(5) = 160

Answer:

c + (C+2) = 12

Step-by-step explanation:

Assume C is the no of dimes

So there are C+2 no of nickels

Guven that C + (C+ 2) = 12

Answer:

10.A

11.A

12.A

Step-by-step explanation:

thank me later

Answer:

1,260,000,000