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Answer: Solution

−

2

+

2

−

2

x

+

x

2

−2x+2x​

Step-by-step explanation: Divide the numbers

2

−

1

⋅

2

2

⋅

−

3

+

2

4

⋅

2

x

Multiply the numbers

2

−

1

⋅

1

−

3

+

2

4

⋅

2

x

−

1

⋅

1

x

−

3

x

+

2

4

⋅

x

2x−1⋅1x−3x+42​⋅x

2

−

−

3

+

2

4

⋅

−

1

⋅

2

2

⋅

x

−

3

x

+

2

4

⋅

x

2x−1⋅22​⋅x−3x+42​⋅x

2

−

1

⋅

1

−

3

+

2

4

⋅

2

x

−

1

⋅

1

x

−

3

x

+

2

4

⋅

x

2x−1⋅1x−3x+42​⋅x

Divide the numbers

2

−

−

3

+

2

4

⋅

2

x

−

x

−

3

x

+

2

4

⋅

x

2x−x−3x+42​⋅x

2

−

−

3

+

1

2

2

x

−

x

−

3

x

+

1

2

x

2x−x−3x+21​x

Answer:

A=Bh

Step-by-step explanation:

use that formula for your calculation and it should help hopefully

Answer:

[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]

Step-by-step explanation:

Answer:

4 buses

Step-by-step explanation:

There are 173 basketball fans

one bus can hold 46 fans

Hence the number of buses needed can be calculated as follows

= 173/46

= 3.76

= 4

Hence 4 buses are needed

Answer:

69

Step-by-step explanation:

167-152=15

This is the number of people that only brought pens

167-84=83

This is the number of people that only brought pencils.

167-15-83=69

This is the number of people that brought both pencils and pens.

Answer:

9 x + 8 y = 10   (I)

y = -4x + 7        (II)

One way is to rewrite the second as

4x + y = 7

Now multiply this equation by 8

32 x + 8 y = 56

9 x + 8 y = 10        and now subtract the equations

23 x = 46     this gives x as 2

From equation (II)  y = -4 (2) + 7  = -1

So our values are (2, -1)

Check:

(I) 9 x + 8 y = 10         9 * 2 - 8 = 10

(II)  4 x + y = 7       or 4 * 2 - 1 = 7

Or you can substitute equation (II) directly into equation (I)

Answer:

18 *0.5*5=45

Step-by-step explanation:

Area of triangle is: 0.5 * base * height

Answer:

b is the correct answer ok

Answer:

b = 30°

Step-by-step explanation:

a + b + 90° = 180°

60° + 90° + b = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

Answer:

7 boxes

Step-by-step explanation:

We'll begin by writing convert 5 ft to in. This can be obtained as follow:

1 ft = 12 in

Therefore,

5 ft = 5 ft × 12 in / 1 ft

5 ft = 60 in

Next, we shall convert 60 in to cm. This can be obtained as follow:

1 in = 2.54 cm

Therefore,

60 in = 60 in × 2.54 cm / 1 in

60 in = 152.4 cm

Finally, we shall determine the maximum number of boxes the ware house worker can stack.

Total height = 152.4 cm

Height of 1 box = 20 cm

Number of box =?

Number of box = total height / height of 1 box

Number of box = 152.4 / 20

Number of box = 7

Therefore, the warehouse worker can only stack a maximum of 7 boxes

Answer:

7

Step-by-step explanation:

got it right on the test

Answer:

10.8 / 6 = 1.8

Answer:

1.8

Step-by-step explanation:

10.8/6=10.8/6×10/10=108/6=1.8

Answer:

Step-by-step explanation:

Answer:

3.7

Step-by-step explanation:

Answer:

10

-1

1

2

Step-by-step explanation:

f(3) this one we use the second question (because the value that x is equal to is between 0 and 4)

3²+1=10

f(6) = -1 because this value is greater than 4

because the second equation has 0 inclusive we use this one for f(0)

0²+1=1

F(-3) for this one the answer is just two because x is less than 0

Answer:

i think its the first one y<1/3x-1

Answer:

The second answer choice

Step-by-step explanation:

Answer:

2^4 × 3

Step-by-step explanation:

Answer:

Domain: {-3, -1, 0, 3}

Step-by-step explanation:

{(-3, 4), (-1,3), (0, 4), (3, 6)}

Domain is just the x values so:

Domain: {-3, -1, 0, 3}

Answer:

$25 is the hourly rate

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{x - 5} [/tex]

Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.

Answer:

[tex]C(h)=120*2^h[/tex]

Step-by-step explanation:

[tex]C(h)=120*2^h[/tex]

Doubling needs a base of 2, and the original number will need to be multiplied by two.

I don't know how to explain so I'm going to just give an example.

After an hour the original number doubles so 120*2

After two hours: 120*2*2

After 3 hours: 120*2*2*2

2*2 can also be written as [tex]2^2[/tex]

and 2*2*2 can be written as [tex]2^3[/tex]

So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.

Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

using BODMAS, our mathematical operation begins with the bracket.

it implies that from -3(-2+5), we solve the bracket.

-2+5=3

then our mathematical operation is the 'of' operation.

it implies that -3(3) = -9

Answer is -9

Answer:

answer is -6=9

Step-by-step explanation:

Answer:

He can make 5 pillows.

Step-by-step explanation:

1 pillow = 2/3 yards

? = 3 1/3 yards ( 10/3 yards)

10/3 ÷ 2/3

10/3 × 3/2= 5 pillows.

Answer: 1727.9

Step-by-step explanation:

Volume = πr2h

= π×52×22

= 550π

= 1727.8759594744 feet3

Answer:

might be wrong but i think A

Step-by-step explanation:

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i