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Alenkinab [10]
2 years ago
9

HELP ASAP

Mathematics
1 answer:
Schach [20]2 years ago
5 0

Answer:

Step-by-step explanation:

(a). A_{1} = x ( 2x + 1 ) = <em>2x² + x</em>

(b). A_{2} = 2( 2x + 1 )( 5x + 3 ) = <em>20x² + 22x + 6</em>

(c). A_{3} = 20x² + 22x + 6 - ( 2x² + x ) =

( 20x² - 2x² ) + ( 22x - x ) + 6 =

<em>18x² + 21x + 6</em>  

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How would I graph y=2x-2; domain: x&gt;0
stira [4]

Hello,

Please find below the graph you need.

For x = 0, f(0) = --2, then for x = 1, f(1) = 0, graph is a straight line, you just need to draw that line through points (0, --2) and (1, 0), as simple as that, see below.

Green eyes.


8 0
3 years ago
Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 22.1 in.
nadya68 [22]

Answer:

Step-by-step explanation:

Given that  the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 22.1 in. and a standard deviation of sigma equals 1.2 in.

We have to find values of x such that

P(X\geq a) \leq 0.01\\ and

P(X\leq b) \leq 0.01

a=2.33 and b =-2.33 as z values

Let us convert to X values

x=22.1-2.33(1.2) \\x=22.1+2.33(1.2)\\

i.e. values below 19.304 and above 25.496

Hence for x below 19.304 and above 25.496 are significantly low and high.

24.2 length is not significantly high.

4 0
3 years ago
How many liters fit in a cube that is 30 centimeters on a side
astra-53 [7]

Answer:

27\ liters

Step-by-step explanation:

step 1

Find the volume of the cube

The volume of a cube is

V=b^{3}

where

b is the length side of the cube

we have

b=30\ cm

substitute

V=(30)^{3}

V=27,000\ cm^{3}

step 2

Convert cm^3 to liters

Remember that

1\ liter=1,000\ cm^3

27,000\ cm^{3}=27,000/1,000=27\ liters

3 0
3 years ago
Lilth makes soap and lotion. It takes her 20 minutes to make a batch of soap and 35 minutes to make a batch of lotion. The cost
fgiga [73]

Answer:

Step-by-step explanation:

Let x represent the number of batches of soap that Lilth makes.

Let y represent the number of batches of lotion that Lilth makes.

It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that

x/3 + 7y/12 = 20

4x + 7y = 240- - - - - - - - - - -1

The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that

5x + 15y ≤ 325 - - - - - - - - -2

4x = 240 - 7y

x = (240 - 7y)/4

Substituting

5(240 - 7y)/4 + 15y ≤ 325

(1200 - 35y)/4 + 15y ≤ 325

1200 - 35y + 60y ≤ 1300

25y ≤ 1300 - 1200

25y ≤ 100

y ≤ 100/25

y ≤ 4

4x + 7 × 4 = 240

4x + 28 = 240

4x = 212

x = 212/4 = 53

Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion

6 0
4 years ago
Help please. This is due tomorrow
Ray Of Light [21]

Answer:

96 is accortinaded to x therefore x - 76 = 89 x = 13

Step-by-step explanation:

3 0
2 years ago
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