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guajiro [1.7K]
3 years ago
15

Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –20 B. x ≤ –9 C. x ≤ –5 D. x ≤ –37

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0
C.
You distribute both the 2 and the -, combine like terms, add three to both sides and then divide out the 3 from 3 on both sides
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From 1st principle find the derivative of log (ax+b)
OLga [1]

Answer:

Step-by-step explanation:

The parent function here is y = log x, where 10 is the base.

The derivative of y = log x is dy/dx = (ln x) / ln 10.

The derivative of y = log (ax+b) is found in that manner, but additional steps are necessary:  differentiate the argument ax + b:

The derivative with respect to 10 of log (ax + b) is:

dy/dx = [ 1 / (ax + b) ] / [ ln 10 ] *a, where a is the derivative of (ax + b).

Alternatively, we could express the answer as

dy/dx = [ a / (ax + b) ] / [ ln 10 ]

5 0
3 years ago
Which of the following equations could be used to determine the value of X
Tcecarenko [31]

Answer:

D

Step-by-step explanation:

If the original price is x and you deduct 3, you'l have x - 3.

If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).

Then, if that value is equal to 27, you get 4(x - 3) = 27

5 0
3 years ago
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The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
elena-s [515]
Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2

The equation
x + y = 120
60% x + 85% y = 65% (x + y)

Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x

From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24

y = 4x
y = 96

The first type should be 24 pints, the second type should be 96 pints
5 0
3 years ago
Used Cartesian coordinate system to plot the following points
Fiesta28 [93]
(x,y)
go over x, and up or down y
if fraction then between integers (1/2)=> between 0 and 1.
0=>don't move on that axes
(0,y) move y
(x,0) move x
8 0
3 years ago
What is the circumference of this circle, in centimeters? Use StartFraction 22 over 7 EndFraction for Pi.
yaroslaw [1]

Answer:

66 cm

Step-by-step explanation:

Diameter (d) = 21 cm

C = \pi  \: d =  \frac{22}{7}  \times 21 = 22 \times 3 = 66 \: cm

3 0
3 years ago
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