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jeyben [28]
2 years ago
12

Graph the solution of this inequality 350 ≥ 125 + 15x

Mathematics
1 answer:
poizon [28]2 years ago
4 0

the line would be at x=15 and you would shade all to the left of the line and a point in that zone or on the line would work in the equation

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andreyandreev [35.5K]

Answer:

Decimal: 5.567764)

Step-by-step explanation:

Decimal: 5.567764)

3 0
2 years ago
a barrel of water contains 60 gallons of water if 21 gallons leaked out what percent of water was left in the barrel
adelina 88 [10]

Answer:

65% remains in the barrel

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3 0
3 years ago
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1) Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for serve
stiv31 [10]

Answer:

a) 0.1 = 10% probability of a tip of $200 or more.

b) 0.4 = 40% probability of a tip of up to $50.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Distribution:

Total of 500 checks.

200 with tips in the interval of 0-20.

100 with tips in the interval of 20-50.

75 with tips in the interval of 50-100.

75 with tips in the interval of 100-200.

50 with tips of 200 or more.

a) What is the probability of a tip of $200 or more?

50 out of 500. So

p = \frac{50}{500} = 0.1

0.1 = 10% probability of a tip of $200 or more.

b) What is the probability of a tip of up to $50?

200 out of 500. So

p = \frac{200}{500} = 0.4

0.4 = 40% probability of a tip of up to $50.

7 0
3 years ago
An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isos
Alex_Xolod [135]
BE is congruent to overline CF since they are altitudes of the same trapezoid(S). AB is congruent to overline CD (Given) AE is congruent to overline FD by the Hypotenuse Leg Theorem. triangle ABC is congruent to triangle DCF (SSS Triangle Congruence) angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.
5 0
3 years ago
A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
Read 2 more answers
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