All categories

3 years ago

0.5b>-6 or 3b+16<-8+b solve compound inequality

Mathematics

1 answer:

Basile [38]3 years ago

7 0

0.5b>-6
b>-12

or

3b+16<-8+b
3b<24+b
2b<24
b<12

b>-12 or b<12

You might be interested in

Use the distance formula to find the distance, to the nearest tenth, from S(7, −1) to V(−1, 3).

34kurt

Answer: 8.9 units (choice C)

Explanation:

We plug $(x_1,y_1) = (7,-1) \text{ and } (x_2,y_2) = (-1,3)\\\\$ into the distance formula to get the following

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-(-1))^2 + (-1-3)^2}\\\\d = \sqrt{(7+1)^2 + (-1-3)^2}\\\\d = \sqrt{(8)^2 + (-4)^2}\\\\d = \sqrt{64 + 16}\\\\d = \sqrt{80}\\\\d \approx 8.94427\\\\d \approx 8.9\\\\$

4 0

2 years ago

Billy is hiking in Colorado. He walks eastward four miles, then turns $60$ degrees northward and walks six miles. How far is he

nikklg [1K]

He is 2√19 miles far way from starting point.

Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.

If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles

It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles eastward and 3√ 3 miles northward.

By the Pythagorean Theorem, the distance from his starting point is q:

(7)2 + (3√3)2

=√49 + 27

= √76

= 2√19 .

Learn more about Pythagorean Theorem on:

brainly.com/question/20545047

#SPJ4

5 0

1 year ago

What is the solution to this equation x/5=25

amid [387]

Answer:

x = 125

Step-by-step explanation:

Given

$\frac{x}{5}$ = 25

Multiply both sides by 5 to clear the fraction

x = 5 × 25 = 125

x = 125

6 0

3 years ago

Read 2 more answers

9. 2 1/8 + 1 5/12

MrMuchimi

Answer:

9) Exact Form: 85 /24 Decimal Form: 3.541 6 Mixed Number Form: 3 13 /24

10) Exact Form: 17 /18 Decimal Form: 0.9 4

11) Exact Form: 3 /5 Decimal Form: 0.6

Step-by-step explanation:

9) Convert the mixed numbers to improper fractions, then find the LCD and combine.

10) Simplify the expression.

11) To subtract fractions, find the LCD and then combine.

4 0

2 years ago

The formula equals 16t squared is used to approximate the distance s, in feet, that an object falls freely from rest in t seco

Brut [27]

The equation is actually $h(t)=-16t^2+1437$ . Free fall is always -16t^2 as the position function. We are looking for how long it takes the object to hit the ground. In other words, the height of an object is 0 when it is laying on the ground, so how long (t) did it take to get there? We will then set that position equal to 0 and solve for t. $0=-16t^2+1437$ . If we subtract 1437 from both sides and divide by -16, we have $t^2=89.8125$ . Taking the square root of both sides gives us, rounded to the nearest tenth, t = 9.5 or t=-9.5. The 2 things in math that will never EVER be negative are time and distance/length, so -9.5 is out. That means that it took just about 9.5 seconds for the object to fall to the ground from a height of 1437 feet when pulled on by the force of gravity.

6 0

3 years ago