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olga2289 [7]
3 years ago
10

Can someone help me with this maths question

Mathematics
1 answer:
vazorg [7]3 years ago
4 0

https://www.force11.org/event/watch-england-vs-south-africa-live-stream-watch-rugby-friendly-3rd-nov

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A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of
luda_lava [24]

Answer:

17.5

Step-by-step explanation:

Given that:

20% apple juice drink is mixed with a 100% apple juice drink.

f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}

represents the concentration of apple juice in the drink when x gallons of 20% drink are added to 2 gallons of pure juice.

Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.

To find:

The concentration of apple juice in the drink = ?

Solution:

Given the function:

f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}

and

x=6\ gallons

f(x)=\dfrac{(2)(0.1)+6(0.2)}{2+6}\\\Rightarrow f(x)=\dfrac{0.2+1.2}{8}\\\Rightarrow f(x)=\dfrac{1.4}{8}\\\Rightarrow f(x)=\bold{0.175}

In percentage, the concentration 17.5.

7 0
3 years ago
Factor completely x3 + 8x2 − 3x − 24.
Anna71 [15]

Answer:

<h2>x³ + 8x² - 3x - 24 = (x + 8)(x - √3)(x + √3)</h2>

Step-by-step explanation:

x^3+8x^2-3x-24\\\\=(x^2)(x)+(x^2)(8)+(-3)(x)+(-3)(8)\qquad\text{distribute}\\\\=x^2(x+8)-3(x+8)\\\\=(x+8)(x^2-3)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+8)(x^2-(\sqrt3)^2)\\\\=(x+8)(x-\sqrt3)(x+\sqrt3)

7 0
3 years ago
PLEASE HELP!
Radda [10]

Answer:

Answer: 67.97%

Step-by-step explanation: BEWARE: THE ANSWER IS NOT 39.56%.

7 0
2 years ago
Which is greater 5/8 or -1/4
Tpy6a [65]

Answer:

5/8

Step-by-step explanation:

-1/4=-0.25

5/8=0.625

8 0
3 years ago
Read 2 more answers
The temperature in Minnesota was -8°F one day. On the same day, the temperature was 12° higher in Indiana. What was the temperat
ahrayia [7]

Answer:

4

Step-by-step explanation:

-8 +12=4

there has to be 20 characters so thi is what I'm putting.

6 0
3 years ago
Read 2 more answers
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