2.1 One Step Equations
1) 4p = 68
2)x - 1 = -9
3) -25 = K - 17
4) 20n = 300 5) -17 + x = -196) 10b = -10
7)r - 11 = -27 8) -11n = -55
9) -120 = -8x
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
I

Refer to the diagram below for examples of what I mean.

Answer:

[tex]h(x)= 9x - 18[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Required

The inverse

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Replace f(x) with y

[tex]y = \frac{1}{9}x + 2[/tex]

Swap x and y

[tex]x = \frac{1}{9}y + 2[/tex]

Subtract 2

[tex]x - 2= \frac{1}{9}y[/tex]

Multiply 9

[tex]9x - 18 = y[/tex]

Rewrite as:

[tex]y = 9x - 18[/tex]

So:

[tex]h(x)= 9x - 18[/tex]

Answer:

x = 0

Step-by-step explanation:

First, multiply 4 by x+1

4x + 4 = 3x + 4

Subtract 3x on both sides

x + 4 = 4

Subtract 4 from both sides

x =

this is x = 0, since x = nothing.

Answer:

x=0

Step-by-step explanation:

4(x+1)= 3x+4

Distribute

4x+4 = 3x+4

Subtract 3x from each side

4x-3x+4 =3x-3x+4

x+4 = 4

Subtract 4 from each side

x+4-4 = 4-4

x=0

Answer:

[tex]p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}[/tex]

Step-by-step explanation:

The expression for the cost of John's bike (p) using set notation can written as follows;

We note that the cost of the bike is a member of the positive rational number  and the cost price of the bike cannot exceed $5,000, therefore, it is less than or equal to $5,000, therefore, we get the following set notation;

[tex]p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}[/tex]

Answer:

The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.

Answer:

[tex]896 \pi~m^3[/tex]

Step-by-step explanation:

[tex] V_{cylinder} = \pi r^2 h [/tex]

[tex] V_{cylinder} = \pi (8~m)^2 \times (14~m) [/tex]

[tex]V_{cylinder} = 896 \pi~m^3[/tex]

Answer:

x = -72

Step-by-step explanation:

-72 + 8 = -64

The third square root of -64 is -4

Answer:

Step-by-step explanation:

Hello there

I'm also a student so I'm not 100% sure on this one, but I think I know.

Usually when you have functions you just replace the letters for their value:

f = 11x

g = x² - 6x + 3

h = -x + 4

Th exercise is asking for (g * h) (x)

Since there are parenthesis, here's what we have:

[(x² - 6x + 3)(-x + 4)](x)

Use the left side of the equation:

[(x² - 6x + 3)(-x + 4)](x)

And solve it:

-x³ + 6x² -3x + 4x² - 24x + 12

That's equal to

-x³ + 10x² -27x + 12

Multiply all that by that x on the left:

-x^4 + 10x³ -27x² + 12x

No idea if that's right so please tell me

Step-by-step explanation:

dbdhdhbdbshsjakkakkajnwbsbdbdbdbbdbdbdvdvdvvvddvvdvd

Answer:

290 foils

Step-by-step explanation:

145,000÷500=290

Answer:

Because it is a right triangle one angle is obviously 90°. The other two are approximately 36.87° and 53.13°.

hope it helps you

have a good day

plz mark me as brainliest

Answer:

3.75

Step-by-step explanation:

5 times 6  30/8

Answer:

[tex]23465459544 + 44492711 = 597595855122256.56114163174112113 \leqslant \leqslant \geqslant yhy \times \frac{?}{?}kwwkjuujsjkoodji \beta \pi \beta \cos(2216 {59 \times \tim3.5es - = 6 \\ \\ 53 \times }^{2} ) [/tex]

Answer:

6.270

Step-by-step explanation:

3 is below 5 so you just turn it into a 0. If it was 5 or above you would just add a number to the 7.

Answer:

2,-12

Step-by-step explanation:

The given equation is ,

[tex]\implies |x + 5 | = -7 [/tex]

We know that modulus only gives positive value , Therefore on squaring both sides we have ,

[tex]\implies (x + 5 )^2=( -7)^2 \\\\\implies (x+5)^2=7^2\\\\\implies x + 5 =\pm 7 \\\\\implies x = 7-5,-7-5 \\\\\implies \boxed{ x = 2, -12} [/tex]

Answer:

y = 2x - 2

Step-by-step explanation:

Because the table.

Answer:

Step-by-step explanation:

y/2 = (x-1)/(2-1)

y/2 = x-1

y = 2x - 2

Answer:

quadratic binomial

[tex]{ \boxed{ \bf{a {x}^{2} + bx + c }}} \\ 2 {g}^{2} + 3g - g[/tex]

The equation of the line is y + 1 = 3(x - 2).

The correct option is (3).

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

The line passes through the point (2, -1)

slope of the given line is 3

By using the slope intercept form of line:

y = mx + c

where m is the slope

c is the y intercept

The line passes through the point (2, -1) so substituting the point in the equation also m = 3

y = 3x + c

-1 = 3(2) + c

c = -7

The equation of the line now can be written as:

y = 3x - 7

y + 1 = 3x - 7 + 1

y + 1 = 3(x - 2)

Hence, the equation of the line is y + 1 = 3(x - 2).

To learn more about equation, click:

brainly.com/question/10413253

#SPJ5

Answer:

It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)

Step-by-step explanation:

[tex] {n}^{2} - 2 - ( {n}^{2} + 4 - 4n) = \\ {n}^{2} - 2 - {n}^{2} - 4 + 4n = \\ 4n - 6 = 2(2n - 3)[/tex]

Step-by-step explanation:

Answer: D. between 4.79 and 4.8

Step-by-step explanation:

The square root of 23 (√23) is 4.79583152331. We can obviously eliminate A and B. C and D is left. C is wrong because if we approximate the square root of 23, which is 4.79583152331, we get 4.79. 4.79 > 4.78, so it can't be C. Hope this helps :)

i'm on the same test-

Answer:  -2

Explanation: The coefficient is the number to the left of the variable.

Another example would be that 10xy has the coefficient 10.

Something like x^2 has coefficient 1 because x^2 = 1x^2.

Answer:

A) 45=x

B) Yes, since both A and B are 90°

6x+90=360

6x=270

x=45

No lines are not parallel

Answer:

$4n

Step-by-step explanation:

The variable identified in question 1 isn't given ;

If the cost per unit of fruit = $4

The total cost of fruit will be :

Cost per fruit * number of fruits

If the number of fruits is denoted by the variable, n

The the total cost of fruit will be :

Cost per fruit, $4 * number of fruits, n

Total cost = $4 * n = $4n

Answer: (-2, 0)

Step-by-step explanation: The x-intercept is the point where a line crosses or intersects the x-axis. In this case, the point is intersecting the x-axis 2 units to the left of the origin or at the point (-2, 0).

Answer:

2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Area of a square = [tex]s^{2}[/tex]   (s is a side length)

24 = [tex]s^{2}[/tex]

[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]

[tex]\sqrt{24}[/tex] = s

[tex]\sqrt{(4)(6) }[/tex] = s

2[tex]\sqrt{6}[/tex] = s

Answer:

D. 7.89 meters

Step-by-step explanation:

Given,

d = 0.3t

Here,

t = 26.3

Therefore,

d = 0.3*26.3

= 7.89m

Hey there!

4(3 - 1)^2

3 - 1 = 2

= 4(2^2)

2^2

= 2 * 2

= 4

4(4)

= 16

Answer: 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

4(3-1)^2= 16

Step-by-step explanation:

4(3-1)^2

=4×(2)^2

=4×4

=16 ........

HOPE THIS HELPS YOU....

Answer:

16 birds

8 mammals if you need to know.

Step-by-step explanation:

We can set this system of equations up by plugging the 2m from the second equation into where it says r in the first equation. The reason why we do this is because

The 2m is equal to r, so we can replace the r in the first equation with 2m, since they are equal.

Divide both

We can confirm this because

uh

(I like the enter key lol.)

It's the return key on some keyboards in other countries.

Oh yeah.

We can confirm the values.

If there are 16 birds, there is probably going to be a total of 32 legs.

With 8 mammals, it is something like 8 x 4, which is 32

32 + 32 = 64, which is the total.

Answer:

B

Step-by-step explanation:

It is shifted 15 units up. Think of how you're solving for y, and by adding 15 to the equation, y increases by 15. If y increases by 15 the graph shifts up by 15. Hope that helps.

Answer:

x = 5.333 , y= 9.620764575

Step-by-step explanation:

sin(29)/x = sin(90)/11

x = 11* sin(29)/sin(90)

x = 5.333

(5.333)^2 + y^2 = 121

y^2 = 121 - (5.333)^2

y= 9.620764575