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2 years ago

Solve the compound inequality. -14< 3x+1 ≤ 13 Graph the solution on the number line.

Mathematics

1 answer:

Zolol [24]2 years ago

8 0

Answer:

(1) 2x - 6 < - 14

(2) 2x + 3 < 1

Explanation:

(1) 2x - 6 < -14 -> 2x < - 8 -> x < - 4

(2) 2x + 3 < 1 -> 2x < -2 --> x < -1

Compound solution set: x < - 4

==========|-4----------|-1-------|0----------------

Step-by-step explanation:

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Seperate the number 53 into 3 parts so that the second number is 3 less than the first number and the third number is twice the

irga5000 [103]

Hello,

Let a the first, b the second and c the third.
a+b+c=53
b=a/3
c=2a
==>a+a/3+2a=53
==>10a/3=53
==>a=15.9
c=2*a=2*15.9=31.8
b=a/3=15.9/3=5.3

Proof: a+b+c=15.9+5.3+31.8=53

The second number is 5.3

7 0

3 years ago

Endent Practice

Vikki [24]

Answer:

Part A: The unit that would be best to describes the situations is to the mile

Part B: 4 significant figures

Part C: 1,450 miles

Part D: He is not correct

Step-by-step explanation:

Part A: By unit conversion, we have;

1 mile = 1,760 yards

Given that the distance from Ottawa, Canada to Jackson Mississippi is 2,552,000 yards it would best simplified into miles

Part B: The number of significant digits in the reporters estimate are the non-zero digits before the zeros in the number figure which are 2, 5, 5, and 2 or 4 significant figures

Part C: 2,552,000 yards = 2,552,000 yards/(1,760 yards/mile) = 1,450 miles

Part D: Given that the distance from Jackson to Tucson = 7,159,680 feet, we have;

1 mile = 5,280 feet

Therefore;

7,159,680 feet = 7,159,680 feet/(5,280 feet/mile) = 1,356 miles

Therefore, the claim that the distance from Jackson to Tucson which is 1,356 miles is further than the distance from Ottawa, Canada to Jackson Mississippi which is 1,450 miles is not correct because;

The distance from Jackson to Tucson 1,356 miles $\ngtr$ 1,450 miles which is the distance from Jackson to Ottawa

6 0

3 years ago

A car depreciates in value by 17% per year.

otez555 [7]

Answer:

17%of 23000

17/100×23000

1 yrs depreciation is 3910

then

after 4 years depreciation is 4×3910

=15640

the worth of after 4 yrs is 23000-15640

=Rs 7360

7 0

3 years ago

2^5 + 10=?????????????

Hoochie [10]

Answer:

Answer is 42

Step-by-step explanation:

2^5 + 10

2*2*2*2*2 + 10

32 + 10

7 0

3 years ago

Read 2 more answers

The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which stat

Alja [10]

C

"When the storm began", it means it has been snowed for 0 hours, so n=0.
f(0)=2.5, thus the <span>depth of snow was 2.5 inches when the storm began.

f(n+1)=f(n)+0.8, so f(n+1)-f(n)=0.8
it means when the time increases by one hour, the depth of snow increases by 0.8 inches.</span>

4 0

3 years ago

Read 2 more answers