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nikklg [1K]
3 years ago
5

F (x) = |x + 3| -1 . Find the average rate of change from x = -6 to x = 8

Mathematics
1 answer:
Elenna [48]3 years ago
3 0
Average rate of change is (f(8) - f(-6))/(8 - (-6)) = ((<span>|8 + 3| -1) - (</span><span>|-6 + 3| -1))/(8 + 6) = ((</span><span>|11| -1) - (</span><span>|-3| -1))/14 = ((11 - 1) - (3 - 1))/14 = (10 - 2)/14 = 8/14 = 4/7</span>
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If p=3(2q+r), express q in terms of p and r.​
Kruka [31]

Answer:

q=\frac{1}{6}p- \frac{1}{2}r

Step-by-step explanation:

p=3(2q+r)

2q+r=\frac{p}{3}

2q=\frac{p}{3} -r

q=\frac{p}{6}- \frac{r}{2}

6 0
3 years ago
How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16%
Naily [24]

1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

For given question,

Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,

Thus,

Quantity of glycerin in 12 liters + Quantity of glycerin in x

= Quantity of glycerin in resultant mixture.

⇒ 8% of 12 + 100% of x = 16% of (12 + x )

⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )

⇒ 0.96 + x = 0.16 × 12 + 0.16x

⇒ 0.96 + x = 1.92 + 0.16x

⇒ x - 0.16x = 1.92 - 0.96

⇒ 0.84x = 0.96

⇒ x = 1.143 liters

Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

Learn more about the resulting solution here:

brainly.com/question/12051765

#SPJ4

7 0
2 years ago
Solve 3x^2 – 12 = – 12 by graphing the related function.
lana [24]
3x^2 - 12 = -12
3x^2/3 = 0
x = 0
6 0
3 years ago
Help picture below problem 23 will give brainlest
Ksju [112]

Answer:

It will take them 5 hours to make 180 cupcakes

Step-by-step explanation:

17 + 19 = 36 x 5 = 180

5 0
3 years ago
Read 2 more answers
A central angle in a circle with a radius of 3cm intercepts an arc with a length of 6cm. What is the radian measure of the centr
Nesterboy [21]
The correct answer for the question that is being presented above is this one: 

Radian Measure can be acquired by using the formula
Radian Measure = arc length / radius
Radian Measure = 6 cm / 3 cm
Radian Measure = 2 rad.
4 0
3 years ago
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