please help 30 points

Answer:

[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} [/tex]

[tex] \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} - \frac{5}{2} = 0[/tex]

[tex] \frac{2(x + 2 {)}^{2} + 2(x + 3) \times (x - 3) - 5(x + 3) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{2(x + 2 {)}^{2} + 2( {x}^{2} - 9) + ( - 15x - 15) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0 [/tex]

[tex] \frac{2( {x}^{2} + 4x + 4) - 3 {x}^{2} - 48 - 25x}{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{2 {x}^{2} + 8x + 8 - 3 {x}^{2} - 48 - 25x }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] \frac{ - {x}^{2} - 17x - 40 }{2(x + 3) \times (x + 2)} = 0[/tex]

[tex] {x}^{2} + 17x + 40 = 0[/tex]

[tex]x = \frac{ - 17± \sqrt{ {17}^{2} - 4 \times 1 \times 40 } }{2 \times 1} [/tex]

[tex]x = \frac{ - 17± \sqrt{289 - 160} }{2} [/tex]

[tex]x = \frac{ - 17± \sqrt{129} }{2} [/tex]

[tex]x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} [/tex]

Answer:

D

Step-by-step explanation:

because it's the right answer

Answer: D :))))) this is right

Answer:

The sequence does map shape I onto shape IV. So, the sequence of transformations proves the two shapes are similar.

Step-by-step explanation:

To check whether the sequence proves that shape I is similar to shape IV, check whether the given sequence of transformations maps shape I onto shape IV.

1. Dilate shape I by a scale factor of 2.

2. Then, reflect the dilated shape across the x-axis.

3. Finally, translate the reflected shape 1 unit left.

Answer:

The sequence does map shape I onto shape IV. So, the sequence of transformations proves the two shapes are similar.

Step-by-step explanation:

To check whether the sequence proves that shape I is similar to shape IV, check whether the given sequence of transformations maps shape I onto shape IV.

1. Dilate shape I by a scale factor of 2.

2. Then, reflect the dilated shape across the x-axis.

3. Finally, translate the reflected shape 1 unit left.

Answer:

150

Step-by-step explanation:

The overall answer should equal 360. 90+90+30=210. That leaves us with x. Try subtracting 360-210=x. :) Hope this helps!

Answer:

m=7

Step-by-step explanation:

divide by both sides by 2 then you will remain with m is the equal to 7

Answer:

7

Step-by-step explanation:

2m = 14

=> m = 14/2

=> m=7

Answer:

add all the rest of the angles, and then subtract the sum from 1080, and that's your ans mate

Answer:

147

Step-by-step explanation:

If you add up all the angles you have, you get 933. Since an octagon has 1080 degree angles the last angle must be added to 933 to make it equal to 1080. If you subtract 933 from 1080, you get the remaining angle 147.

Answer:

y ≥1

Step-by-step explanation:

y=5x-4

Let x  ≥ 1

y  ≥ 5(1)-4

y ≥ 5-4

y  ≥ 1

Answer:

[tex]herey = 5x - 4 \\ \\ given \: that \: x \geqslant 1 \\ so \: y \geqslant 5 \times 1 - 4 \\ y \geqslant 1 \\ thank \: you[/tex]

Answer:

x= (1,8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3≤ 6x - 9                 Add 9 to both sides

-3 + 9 ≤ 6x               Combine left

6 ≤ 6x                       Divide by 6

6/6 ≤ 6x/6

1 ≤ x

6x - 9 < 39               Add 9 to both sides

6x < 39 + 9              Combine

6x < 48                     Divide by 6

6x/6 < 48/6

x < 8

So the inequality is

1 ≤ x < 8

I think that is what you want. You have to express it as a combined inequality.

Answer:

(-12, -20).

Step-by-step explanation:

A dilation of factor 4 moves (-3, 5) to (-3*4, 5*4) = the point (-12, 20).

A reflection  over  the x-axis is (x, y) ------> ( x, -y).

So ( -12, 20) goes to (-12, -20).

Answer:

2.) translation,rotation, reflection

3.) rotation,reflection, translation

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

Given:

To find h(g(f(x))) first find g(f(x)), substitute x with f(x):

Since g(x) = x², the value of g(2x + 5) is:

Now, the next step:

Answer:

(13,-6)

Step-by-step explanation:

The midpoint is the exact halfway point, so all you need to do is find the distance between those two points and apply it again.

First find the x coordinate. The distance from -9 to 2 is 11. So you add 11 to 2, and you get 13, which is your x coordinate.

Then do the same thing with the y coordinate. And you get -6.

Your endpoint is (13,-6)

Answer:

rational as it can be in form b/q

Answer:

18cm

Step-by-step explanation:

[tex]area \: of \: rhombus = \frac{1}{2} \times \: d1 \times d2 \\ 216 = \frac{1}{2} \times 24 \times d2 \\ d2 = \frac{216 \times 2}{24} \\ = 18cm[/tex]

Answer:

im sorry about that bro

Step-by-step explanation:

im not smart as well

Answer:

Step-by-step explanation:

a) Number = x

Multiply it by 3 = 3*x = 3x

Now add 4 to it: 3x + 4

Equation:  

3x +4 = 22

b)

3x + 4 = 22

Subtract 4 from both sides

3x + 4 -4 = 22 - 4

        3x = 18

Divide both sides by 3

3x/3 = 18/3

x = 6

Answer:

Below in bold.

Step-by-step explanation:

The equation is

3x + 4 = 22

3x = 22 - 4 = 18

x = 18/3

x = 6.

Answer:

Step-by-step explanation:

(f-g)(x) = f(x)- g(x)

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

= 7

Therefore (f-g)(x) = 7

Answer:

(f - g)(x) = 7

Step-by-step explanation:

Here, we should subtract the two functions:

f(x) = 3x + 7  and g(x) = 3x

(f - g)(x) = 3x + 7 - 3x

            = 3x - 3x + 7

           = 7

Hence, (f - g)(x) = 7

Answer:  B

Step-by-step explanation:

P=R-$10MM

P = ($25MM)-$10MM

P = $15MM

We know that, Two angles are said to be complementary, if the sum of their measures is 90°.

According to the Question,

⇒ ∠ABD + ∠DBC = 90°

⇒ (2x + 30)° + (3x + 20)° = 90°

⇒ 2x + 30° + 3x + 20° = 90°

⇒ 5x + 50° = 90°

⇒ 5x = 90° - 50°

⇒ 5x = 40°

⇒ x = 40°/5

⇒ x = 8

So, the measure of each angle will be,

⇒ ∠ABD = (2x + 30)°

= 2 × 8 + 30°

= 16 + 30°

= 46°

⇒ ∠DBC = (3x + 20)°

= 3 × 8 + 30°

= 24 + 30°

Answer:

Different key aspects of the graph are revealed by each form. From the vertex form, you can easily determine the vertex, (3, −4). From the factored form, you can easily determine the x-intercepts, 1 and 5. In standard form, the y-intercept is clearly 5.

Step-by-step explanation:

__________________________________________________________

-DarkspiritOwO-

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

The factored form of a quadratic function reveals its root.

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

We have,

Factor form of a quadratic function.

Factoring quadratics is a way of expressing the quadratic function:

ax2 + bx + c = 0

as a product of its factors as:

(x - k) (x - h),

where h, k are the roots of the quadratic function.

Thus,

The factor form of a quadratic function reveals its root.

Learn more about quadratic functions here:

https://brainly.com/question/27958964

#SPJ2

Answer:

This equation is in y=mx + b form. Just plug in the point to get N, which is also B.

Whatever is in f(x) is your x. So x = 9; This means...

4 = 2/3(9) + n

Solving for n gets you -2.

Now we plug in -3 and also substitute N now that we solved for it.

f(-3) = 2/3(-3) - 2

f(-3) = -4

(A)

Answer:

the awnser of this question is 3,5,8

Answer:

m = 1/3

Step-by-step explanation:

-3.3m = -1.1

(-3.3/-1.1)m = (-1.1/-1.1)

3m=1

3m/3 = 1/3

m = 1/3

Answer:

Step-by-step explanation:

1/3