Solve the equation

5x - ( 4x - 1) = 2

a. 1/9
b. - 1
c. - 1/9
d. 1



from the choices provided​

g = 1

Get variable onto one side of equation and simplify:

3g - 8 = g - 6

2g = 2

g = 1

Given:

p and q are the two distinct solutions to the equation

[tex](x-3)(x+3)=21x-63[/tex]

To find:

The value of p-q if p>q.

Solution:

We have,

[tex](x-3)(x+3)=21x-63[/tex]

[tex](x-3)(x+3)=21(x-3)[/tex]

[tex](x-3)(x+3)-21(x-3)=0[/tex]

[tex](x-3)(x+3-21)=0[/tex]

[tex](x-3)(x-18)=0[/tex]

Using zero product property, we get

[tex]x-3=0\text{ and }x-18=0[/tex]

[tex]x=3\text{ and }x=18[/tex]

Here, 18>3, so p=18 and q=3.

Now,

[tex]p-q=18-3[/tex]

[tex]p-q=12[/tex]

Therefore, the value of p-q is 12.

Answer:

The answer is 5, the "Expert Verified" is wrong :)

Step-by-step explanation:

First we try factoring the left side to simplify it. Now we can multiply both sides by (x+5)and solve.

Answer:

You have to divide 46 by 6. thats all I know sorry

Step-by-step explanation:

Each student gets 7 pencils.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, it is given that :

Mr. Rodriguez purchased 46 pencils to give to the students he tutors

and number of students = 6

Therefore, to find number of pencils each student get we divide 46 with 6 :

pencils will each student get = 46/6

pencils will each student get ≈ 7

as each student get equal number of pencils then 4 pencils are left with Mr. Rodriguez after giving 42 pencils to the students.

Therefore, each student gets 7 pencils.

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Answer:

Step-by-step explanation:

Change f(x) → x, and x → y, and solve for y:

y = f⁻¹(x)

Answer:

24 + 6

Step-by-step explanation:

Answer:

$14

Step-by-step explanation:

56 × 0.25 = 14

to check this, you can divide 14 ÷ 56 = 0.25

to turn a percentage into a decimal, just divide it by 100

Answer: 2 aka B

Step-by-step explanation: the answers B :)

Answer:

Step-by-step explanation:

Where is Ac leath

Answer:

26 cm

Step-by-step explanation:

just use Pythagoras theorem

c2 = a2 + b2

c2 = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]

c2 = 100 + 576

c2 = 676

shift the square to the other side and it becomes a square root

c = [tex]\sqrt{676}[/tex]

c = 26

AC = 26 cm.

Given:

Player 1 is at (-7,5).

Player 2 is at (7,5).

To find:

The relationship between the positions of the two players.

Solution:

The two points are (-7,5) and (7,5).

Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.

The transformation is defined as

[tex](x,y)\to (-x,y)[/tex]

It means, the points are mirror image of each other with respect to y-axis.

Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Therefore, the correct option is C.

Step-by-step explanation:

[tex]\bullet\hookrightarrow\sf 7 (x+4)=21 [/tex]

[tex]\bullet\Rrightarrow\sf 7x+28=21 [/tex]

[tex]\bullet\rightarrowtail\sf 7x=21-28 [/tex]

[tex]\bullet\twoheadrightarrow\sf 7x=-7 [/tex]

[tex]\bullet\looparrowright\sf x=\dfrac{-7}{7}[/tex]

[tex]\bullet\rightharpoonup\sf x=-1 [/tex]

Answer:

1. zach is 20'

2. zack is 13

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

the lines are parallel to each other

Answer:

x=3y-6

Step-by-step explanation:

x−3y=−6

Step 1: Add 3y to both sides.

x−3y+3y=−6+3y

x=3y−6

Answer:

x=3y−6

I just did this the answer is C. g(x) = –2(x – 5)2 + 9

The required function is [tex]g(x)=-2(x-5)^2+9[/tex].

Important information:

We need to find the equation in vertex form for the function g.

The vertex form of a parabola is:

[tex]g(x)=a(x-h)^2+k[/tex]         ...(i)

Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.

Substitute [tex]h=5,k=9[/tex] in (i).

[tex]g(x)=a(x-5)^2+9[/tex]          ...(ii)

Parabola passes through the point (3,1). So, substitute [tex]x=3,g(x)=1[/tex] in (ii).

[tex]1=a(3-5)^2+9[/tex]

[tex]1-9=a(-2)^2[/tex]

[tex]-8=4a[/tex]

[tex]-2=a[/tex]

Substitute [tex]a=-2[/tex] in (ii).

[tex]g(x)=-2(x-5)^2+9[/tex]

Thus, the required function is [tex]g(x)=-2(x-5)^2+9[/tex].

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Answer:

It is the first three options. A,B,C or 1,2,3

Step-by-step explanation:

Answer:

A. (fraction negative 1 and 1 over 4, fraction 3 over 4)

Step-by-step explanation:

Coordinates of point A cam be represented as (x, y). That is where point A cam be traced from the x-axis is the value of x, while the y-value is the point we can trace from the y-axis side ways to point A.

So, Point A from the x-axis, we have x = -1¼, and from the y-axis, we have y = 3/4.

Coordinates of point A cam be written as:

(-1¼, ¾).

Answer:

0

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

y=-5x+14 is in the form of y=mx+b.

m is the slope and b is the y-intercept.

So m = -5 and -5 is the slope

Answer:

x = -4

Step-by-step explanation:

x+y = -10 -------- (1)

x-y = 2 ------- (2)

from (1)

x+y = -10

y = -10-x -------- (3)

substitute (3) into (2)

x-y = 2

x-(-10-x) = 2

x+10+x = 2

2x = 2-10

2x = -8

x = -8/2

x = -4

Answer:

1

Step-by-step explanation:

in an equilateral triangle all the sides are equal

Answer:

x = 12

Step-by-step explanation:

10x = 120                 original equation

10x/10 = 120/10       divide both sides by 10

x = 12                       simplify

Check work:

10(12) = 120

120 = 120 (true)

Answer:

x = 12

Check:

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

10x = 120

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

10 x x (ten times x) = 120

10 x 12 = 120

OR

10^x = 120

10^12 = 120

x = 12

The statement that the two triangles are similar based on the given figure is false.

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

So, we know that two similar triangles will have all the corresponding angles equal to each other.

Given two triangles EFG and HJK.

Also, given that,

EG = 8 and HK = 16

EG/ HK = 8/16 = 1/2

∠E = ∠H = 90°

There are no other information given.

If one more corresponding angles are equal, we can use ASA, AAS or AA property, and if one more corresponding side are proportional, we can use SAS postulate.

In this case, we cannot say two triangles are similar.

Hence the statement is false.

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Answer:

the answer is -117/424, hope this helps :)

Answer:

18

Step-by-step explanation:

Thanks! Have a great day!

Answer:

-0(10 x 9)=90

Because here there are 5 zeroes so 0.00003 can be written as 3/100000 , here 100000 = 10⁵ . Now , 3/10⁵ → 3 × 1/10⁵ → 3 × 10-⁵

Hence , 0.00003 = 3 × 10-⁵ . So it is -5

Answer:

210 cm²

Step-by-step explanation:

The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.

Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles

✔️Area of the 2 trapezoid bases:

Area = 2(½(a + b)×h)

Where,

a = 7 cm

b = 11 cm

h = 3 cm

Plug in the values

Area = 2(½(7 + 11)×3)

= (18 × 3)

Area of the 2 trapezoid bases = 54 cm²

✔️Area of Rectangle 1:

Length = 6 cm

Width = 3 cm

Area = 6 × 3 = 18 cm²

✔️Area of Rectangle 2:

Length = 7 cm

Width = 6 cm

Area = 7 × 6 = 42 cm²

✔️Area of Rectangle 3:

Length = 6 cm

Width = 5 cm

Area = 6 × 5 = 30 cm²

✔️Area of Rectangle 4:

Length = 11 cm

Width = 6 cm

Area = 11 × 6 = 66 cm²

✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²