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Mamont248 [21]
3 years ago
11

5(x-2)-3x ≤2 Solve the inequality The solution is ____?

Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

x ≤ 6

Step-by-step explanation:

Distribute the 5 onto (x-2), then combine like terms.

5x -10 -3x ≤ 2

2x - 10 ≤ 2

Add 10 to both sides to get rid of the 10 on the left.

2x - 10  + 10 ≤ 2   + 10

2x ≤ 12

Divide 12 by 2.

x ≤ 6

x ≤ 6 will be your answer/solution.

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circle A has a diameter of 9 cm. Circle b has a radius of 5 cm
Liono4ka [1.6K]

Answer:

Circle B has a larger circumference.

Step-by-step explanation:

Circumference of a circle is the diameter times pi.

C = pi•d

Circle B has radius 5, so its diameter is 10. Circle A has diameter of 9. A larger diameter will give a larger circumference.

C_circle A = 9pi

~= 28

While,

C_circle B = 10pi

~= 31

Circle B's circumference is about 3 cm larger. More accurately it's 1pi larger.

4 0
3 years ago
Given the function f(x) = -2c+cx-x^2, and f^-1(5) = -1, find c
AnnZ [28]

Answer:

c=-2

Step-by-step explanation:

We are given the function:

f(x) = -2c + cx - x^2

And that:

\displaystyle f^{-1} (5) = -1

And we want to determine the value of <em>c</em>.

Recall that by definition of inverse functions:

\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a

So, since f⁻¹(5) = -1, then f(-1) = 5.

Substitute:

f(-1) = 5 = -2c + c(-1) - (-1)^2

Simplify:

5 = -2c - c - (1)

Combine like terms:

6 = -3c

And divide. Hence:

c = -2

In conclusion, the value of <em>c</em> is -2.

8 0
3 years ago
Which of thw following is equivalent to √20?​
kupik [55]

Answer:

it is b

Step-by-step explanation:

3 0
4 years ago
Joe worked as a waiter at a charity banquet. He earned $17.50 for each hour worked. Joe also received a tip for this event in th
Alenkasestr [34]

Answer:

Joe still owes his dad $121.83

Step-by-step explanation:

Joe's new loan balance after paying his dad = amount he owes his dad - joes profit

Joe's profit from working as a waiter = Revenue - cost of renting a uniform

Revenue = amount earned for total hours worked + tips

total hours worked = 4 hours + 2.5hours = 6.5 hours

amount earned for total hours worked = 6.5 x $17.50 = $113.75

Revenue = $113.75 + $35.80. = $149.55

Joe's profit = $149.55 - $21.38 = $128.17

Loan balance = $250 - 128.17 = $121.83

Alternatively, the equation provided in the question can be used :

250 – 17.5(4 + 2.5) – (35.80 – 21.38)

250 - 113.75 - 14.42

= $121.83

4 0
3 years ago
Given:<br> Set A = 1,6,9<br> Set B= 7, 9, 12<br> What is the union of sets A and B?
dmitriy555 [2]

Step-by-step explanation:

Union = elements of A + elements of B

Union = ( 1,6,7,9,12)

4 0
3 years ago
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