I NEED HELPP WITH THIS

[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]

The given equation

x/2 = y/3 = z/4

can be broken into three separate equations which I'll call equations (A), (B) and (C)

We'll start off solving for z in equation (C)

x/2 = z/4

4x = 2z ... cross multiply

2z = 4x

z = 4x/2 ... divide both sides by 2

z = 2x

Now let's solve for y in equation (A)

x/2 = y/3

3x = 2y

2y = 3x

y = 3x/2

y = (3/2)x

y = 1.5x

The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.

We won't be using equation (B) at all.

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

The key takeaway from the last section is that

Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:

(2x-y+5z)/(3y-x)

(2x-y+5(2x))/(3y-x) ..... plug in z = 2x

(2x-y+10x)/(3y-x)

(12x-y)/(3y-x)

(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x

(12x-1.5x)/(4.5x-x)

(10.5x)/(3.5x)

(10.5)/(3.5)

3

We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.

Answer:

3

Step-by-step explanation:

3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?

equation is

[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

1, It has a definite volume but no definite shape.

Step-by-step explanation:

Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.

        4x - y = -19

       4(4x - y) = 4(-19)

            16x - 4y = -76

Now, let's substitute the 'x' value in the equation.

Therefore, the answers are:

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

(-7, -9).

( x = -7 and y = -9)

Step-by-step explanation:

-3x + 4y = -15  

  4x - y   = -19

Multiply second equation by 4:

16x - 4y = -76

Add this equation to the first to eliminate y:

13x = -15 + -76

13x = -91

x = -7.

Substitute this into equation 2:

4(-7) - y = -19

-y = -19 + 28

-y = 9

y = -9.

Answer:

24*(X^2)*(Z^2)*(Y)

Step-by-step explanation:

2*(3X)*(4Z)*(X)*(Y)*(Z)      

2*(3X^2)*(4Z)*(Y)*(Z)       [Combine like terms (X)]

2*(3X^2)*(4Z^2)*(Y)         [Combine like terms (Z)]

24*(X^2)*(Z^2)*(Y)           [Combine like terms (2*3*4)]

Answer:

The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.

Step-by-step explanation:

I got it right on my test! :)

The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

As we know,

The dilation is transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

From the graph:

The coordinate for E and F are:

E = (-4, 0)

F = (0, 2)

The scale factor = 1/2

E' = (-4/2, 0) = (-2, 0)

F' = (0, 2/2) = (0, 1)

Thus, the locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) correct.

Learn more about the straight line here:

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Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

Answer:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. .The range is the resulting y-values we get after substituting all the possible x-values.

Step-by-step explanation:

Answer:

10/12 i took the test

Step-by-step explanation:

Answer:

18/4  ,  27/6   ,   36/8

Step-by-step explanation:

9 to 2 x 2 = 18 to 4

9 to 2 x 3 = 27 to 6

9 to 2 x 4 = 36 to 8

Answer:

It will stay at x + 8

Step-by-step explanation:

Answer:

54 cm

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

None of the X values are the same number.

Answer:

12

2

answer

hope it helps

Answer:

(8x+3)<23 is the same as -(-8x-3)<23

Step-by-step explanation:

-(-8x-3)<23  Original equation

(8x+3)<23   [Remove the parentheses]

It is the same equation as the chosen answer: (8x+3)<23

Answer:

Choice E.

Step-by-step explanation:

-(-8x – 3) < 23

-8x - 3 >  -23

-8x > -20

x < 20/8

x < 2.5.

E:-

(8x + 3) < 23

8x < 20

x < 2.5.

Answer:

35g^2+38g+8

Step-by-step explanation:

(7g+2)(5g+4)

35g^2+10g+28g+8

35g^2+38g+8

Answer:

750/100 or 7 1/2 whichever way u need

Step-by-step explanation:

Answer:

(x-6)(x+5)^2 - 50

The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

One example of a function that has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity is:

[tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant that ensures the function continues to negative infinity and positive infinity.

To find the value of k, we can use one of the intercepts, say (5, 0):

0 = k / (5² - 25)

0 = k / 0

This tells us that k can take any value, as long as the denominator is not zero. So, we can choose any non-zero value for k.

For example, let's choose k = 1:

[tex]f(x) = 1 / (x^2 - 25)[/tex]

This function has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity.

Thus,

The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]

where k is a constant.

Learn more about functions here:

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Answer:

Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]

Step-by-step explanation:

[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]

X = 4 – 1 = 3

Y = 4 – 2 = 2

[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

or

[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

When x=0, y = 1.3333333333333

When y=0, x = -2

Answer:

C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

Step-by-step explanation:

Iterative geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

Recursive geometric sequence:

[tex]a_n=xa_{n-1}[/tex]

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

And so the answer is C.

Answer:

Not a parallelogram.

Step-by-step explanation:

By the midpoint formula, the midpoint of a segment between [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] is:

[tex]\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}[/tex].

A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.

The two diagonals of quadrilateral [tex]{\sf ABCD}[/tex] are segment [tex]\sf{AC}[/tex] and segment [tex]{\sf BD}[/tex], respectively.

Using the midpoint formula, the midpoint of segment [tex]{\sf AC}[/tex] (between [tex]{\sf A}\; (3,\, 3)[/tex] and [tex]{\sf C}\; (-3,\, 1)[/tex]) would be:

[tex]\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}[/tex].

Likewise, the midpoint of segment [tex]{\sf BD}[/tex] (between [tex]{\sf B}\; (1,\, 2)[/tex] and [tex]{\sf D}\; (-1,\, 4)[/tex] would be [tex](0,\, 3)[/tex].

Thus, quadrilateral [tex]{\sf ABCD}[/tex] would not be a parallelogram since the midpoints of its two diagonals are not the same.

Answer:

D

Step-by-step explanation:

There i hope it help

Stay safe and study hard

Answer:

50

Step-by-step explanation:

Answer:

[tex]1. \: \: \: a = \frac{5}{7} \\ 2. \: \: \: 4 \\ 3. \: \: \: 15 {x}^{2} + 60x + 135 \\ 4. \: \: \: m = {75}^{o} \\ [/tex]

Step-by-step explanation:

[tex]1. \: \: 7a - 8 = 13 \\ 7a - 8 + 8 = 13 + 8 \\ 7a = 5 \\ \frac{7a}{7} = \frac{5}{7} \\ a = \frac{5}{7} \\ [/tex]

[tex]2. \: \: \: 4 = 2 \times 2 \\ 8 = 2 \times 2 \times 2 \\ 4 \\ [/tex]

[tex]3. \: \: \: 15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\15 (x + 3)(x + 3) \\ 15 |x(x + 3) + 3(x + 3)| \\ 15 ({x}^{2} + 3x + 3x + 9 )\\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 60x + 135 \\ [/tex]

[tex]4. \: \: \: m = {75}^{o} (opposite \: angles)[/tex]