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MakcuM [25]
3 years ago
6

Given two functions j(x)=−3x+2 and k(x)=3+4x , what is the function rule for (kj) (x) ?

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

(k·j)(x) = -12x^2 -x +6

Step-by-step explanation:

(k·j)(x) = k(x)·j(x) = (4x+3)(-3x+2) . . . . . substitute function definitions

  = 4·(-3)x^2 +(4·2+3(-3))x +3·2 . . . . . multiply using the distributive property

  = -12x^2 -x +6

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Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
yarga [219]

Answer:

<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

i.e 5x+45y=15 -------------2

Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

\Rightarrow y=0.25

Putting the value of y in equation 1,

x=1-0.25=0.75

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

5 0
4 years ago
I need help now it’s due soon
zalisa [80]

Answer:

Ordered pairs are ( -3, 0) (0, 3)

Step-by-step explanation:

Now when your graphing, go up 3 spots in the y-axis ( up & down) and plot your point now do the same for your x-axis (( left and right), so go over to the left 3 places, and there now connect the 2 points and your done. Hope that helps!

7 0
3 years ago
Solve the system by the elimination method.
Vika [28.1K]
10x + 2y - 6 = 0

Multiply 5x + y - 3 = 0 by 2

2(5x + y - 3 = 0) = 10x + 2y - 6 = 0
7 0
3 years ago
Read 2 more answers
PLEASE HELP! Explain your answer, THANK YOU!
Misha Larkins [42]

Answer:

-2/-3

Step-by-step explanation:

(75, 60) (45, 40)

75       60               since 75 is larger than 45, we subtract = -30

45       40               since 60 is larger than 40, we subtract = -20

= -20/-30

reduce

= -2/-3

3 0
4 years ago
Please help. I don’t understand how to do this
Rasek [7]

Greetings from Brasil...

Let's apply the given formula:

A = (1/2)·B·H

The base of this polygon (in this case, the triangle) is B

B = X² - 2X + 6

The height of this polygon is H and is H

H = X + 4

Applying these values (B and H) in the given formula.....

A = (1/2)·B·H

A = (1/2)·(X² - 2X + 6)·(X + 4)

A = (1/2)·(X³ + 2X² - 2X + 24)

A = (X³/2) + X² - X + 12

OR

A = (X³ + 2X² - 2X + 24)/2

4 0
3 years ago
Read 2 more answers
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