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Pavel [41]
3 years ago
13

Which number(s) below belong to the solution set of inequalities?check all that apply x/9<=4

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0
Solve the inequality:
\frac{x}{9} \leq 4 \\&#10;x \leq 4 \times 9 \\&#10;x \leq 36

x must be less than or equal to 36.
The numbers that satisfy this inequality are: 36, 18, 27.
The answers are A, C, and E.
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What is the solution of log 3(x - 2)125 = 3 ? Choose one answer. a. x = 1 over 3 b. x = 1 c. x = 7 over 3 d. x = 4
SVETLANKA909090 [29]
From the definition of logarithm:
log_b x = y if b^y = x (1)

The equation in our problem is:
log_{3x-2} 125 = 3
If we use definition (1), this equation becomes
(3x-2)^3 = 125

Let's solve it:
(3x-2)^3 = 5^3
3x-2 = 5
3x=7
x= \frac{7}{3}

therefore, the correct answer is C).
3 0
4 years ago
Lydia told Al, "If you read the problem carefully, then the solution is not difficult."
Sonja [21]
To find the contrapositive of a conditional statement we first swap the hypothesis and conclusion, and then negate both. Doing so in this case gives us D. 
6 0
3 years ago
The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan
zubka84 [21]

Answer:

150 miles

Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

20*6=120

Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

10*3=30

120+30=150

The actual distance is 150 miles.

Hope this helps!

4 0
4 years ago
a side if the triangle below has been extended to form an exterior angle of 130° . find the value of x
11111nata11111 [884]

Step-by-step explanation:

So, you have to get angle under 130° angle:

180°-130°= 50°

And you get X

x=180°-(113°+50°)

x=180°- 163°

x=17°

8 0
3 years ago
Question 8 of 25
lisabon 2012 [21]

Answer: the y-intercept is (0,4)

Step-by-step explanation:

6 0
3 years ago
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