which point lies in the solution set of the inequality 1/2(x+2)+3y<8?

Answer:

x = {-5, 2}

Step-by-step explanation:

unfamiliar with the notation 7;2

will solve for |2x + 3| = 7

Solution I -  the quanity inside the absolute value is 7

2x + 3 = 7

2x = 4

x = 2

Solution II -  the quanity inside the absolute value is –7

2x + 3 = –7

2x = -10

x = -5

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

x = {-5, 2}

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

Answer:

1.6.7*520=3484

Step-by-step explanation:

( I).67*0.52

convert that 0.52 to proper fraction

67×13/25=871/25

which is=34.84

(III). 3484/5.2

convert 5.2 to improper fraction ❤️

=52/10=26/5

3484/26/5=3484×5/26=670

9514 1404 393

Answer:

  20 people

Step-by-step explanation:

Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...

  (1/5)·n = 4

The solution can be found by multiplying both sides of the equation by 5.

  5(1/5)n = 5(4)

  n = 20

20 people could be served.

Answer:

67.5

Step-by-step explanation:

The sum of the interior angles is 540, therefore

540 = 90 + 4y

540 - 90 = 4y

450 = 4y

450 / 4 = y

112.5 = y

X and Y together equal 180, therefore

180 = x + 112.5

180 - 112.5 = x

67.5 = x

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

Answer:

(-12x - 25) / (x + 3) (x - 5)

Step-by-step explanation:

1 - 2x/(x+3) + (x+3)/(x - 5)

= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)

= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)

= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)

= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)

= (-12x - 25) / (x + 3) (x - 5)

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Answer:

3570

Step-by-step explanation:

the current monthly rent is 4200.

now, decreasing it by 15% means to reduce it, to subtract 15% from it.

4200 = 100%

42 = 1%

15% = 42 × 15 = 630

so, the new rent is 4200 - 630 = 3570

The answer is :

- i

I hope this helps

Answer:

-i

Step-by-step explanation:

just did it on edg 2021

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Step-by-step explanation:

4*2-7x=-3

8-7x=-3

-7x=-3-8

-7x=-11

x=-11/-7

x=1.5714...

Answer:

Step-by-step explanation:

Answer:

The two numbers are 11/8 and 5/6

Step-by-step explanation:

Let the unknown numbers be x and y

Given that the difference of two numbers is 13/24

x - y = 13/24

and  that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other

11/12 * 1/x = 5/9 * 1/y

11/12x = 5/9y

cross multiply

12x * 5 = 11* 9y

60x = 99y

x = 99y/60

= 33y/20

substitute into x - y = 13/24

33y/20 - y = 13/24

13y/20 = 13/24

24y = 20

y = 20/24

= 5/6

x = 33y/20

= 33 *5/20*6

= 11/8

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

Answer:

y = -½x + 4

Step-by-step explanation:

the line passes point of y-intercept (0, 4) ,

and another point (6, 1)

the slope = (1-4)/(6-0) = (-3)/6 = -½

so the Equation is y = -½x + 4

Answer:

Step-by-step explanation:

6ax +12by -9ay -8bx

=6ax -8bx -9ay +12by

=2x(3a -4b)-3y(3a -4b)

=(2x-3y)(3a-4b)

Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation:

Answer:

what kind of math is that?

Step-by-step explanation:

hope this helps please like and mark as brainliest

Answer:

x = 1

y = 1

Step-by-step explanation:

3x - 2y = 1

2x + 2y = 4

3x - 2y + 2x + 2y = 1 + 4

3x + 2x = 5

5x = 5

5x ÷ 5 = 5 ÷ 5

x = 1

2x + 2y = 4

2(1) + 2y = 4

2 + 2y = 4

2 - 2 + 2y = 4 - 2

2y = 2

2y ÷ 2 = 2 ÷ 2

y = 1

Check:

3x - 2y = 1

3(1) - 2(1) = 1

3 - 2 = 1

x and y being 1 works for the first equation.

2x + 2y = 4

2(1) + 2(1) = 4

2 + 2 = 4

x and y being one works for both equations.

56 over 15

hope this help yoooooooooooooooooooo

Answer:

22/15

Step-by-step explanation:

(1/3 + 2/5) x (2 - 1/2) ÷ 3/4

=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4

=11/15 x 3/2 ÷ 3/4

=11/15 x 3/2 x 4/3

=22/15

Hope this helps! Have a nice day!

Answer:

here u go

Step-by-step explanation:

what i did was 15*7 which is 105

and then i did 105/2 which is 52.5 ft

Answer:

V = 1237 cubic feet

Step-by-step explanation:

V of cylinder = πr^2h

r = 7.5 ft (15/2)

h = 7 ft

v = ((7.5)^2)π*7 = 1237.002107 cubic feet

Answer:

[tex]y = 12.25[/tex]

Step-by-step explanation:

Area of parallelogram = [tex]49 {cm}^{2} [/tex]

∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]

[tex]∴ \: s = y[/tex]

[tex]y = \frac{49}{4} [/tex]

[tex]y = 12.25[/tex]

Answer:

64cm² I think :) if u get it wrong dont blame it on me.

Answer:

64 cm^2

Step-by-step explanation:

The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)

A = s^2

= 8^2 (8 x 8)

= 64 cm^2

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

The value of a₄ is -9

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

learn more about Recursively defined sequence

Here: https://brainly.com/question/1480398

#SPJ2

Answer:

Step-by-step explanation:

The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros.  This parabolic curve opens up and has its vertex (minimum) at (-1, -1).

Answer: The graph has two zeros.

Step-by-step explanation:

The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.

y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.

You can see the height degree of the function is 2.

Therefore, there should be two zeros of the function.

According to the given graph of parabola has two zeros at x = -2 and x = 0.

The graph cross the x-axis at x = -2 and x = 0.

Hence, the graph has two zeros.

Answer is A. The graph has two zeros

Answer:

221cm squre

Step-by-step explanation: