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jonny [76]
3 years ago
14

Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequ

alities to represent this situation.
Mathematics
1 answer:
Sloan [31]3 years ago
3 0

The answer is :

x + y ≤ 14

2x + 3y ≤ 18

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According to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11
Genrish500 [490]

Answer:

\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}

Step-by-step explanation:

The given polynomial function is

f(x)=5x^3-7x+11

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

\pm\frac{11}{1}=\pm11

\pm\frac{1}{1}=\pm1

\pm\frac{11}{5}

\pm\frac{1}{5}

4 0
3 years ago
The height of a right triangle is √6 units and the base is √9 units. Find the area of the triangle
In-s [12.5K]

Answer:

Step-by-step explanation:

h = √6 units

b = √9 units

A = b*h/2 = √6·√9 /2 = √(6·9)/2 = √(2·3·3·3)/2 = 3√3 /2 units ²≈ 2.6 units²

3 0
2 years ago
Write an equation that models the sequence 6, 12, 24, 48... A) y = 6x B) y = 2x C) y = 6x2 D) y = 6(2x-1)
monitta
The answer is B) y=2x
8 0
3 years ago
Read 2 more answers
A student rolls a standard number cube. What is the probability the student rolled a 4. given that the number rolled was
Debora [2.8K]

Answer:

A

Step-by-step explanation:

Because on a dice there are only 6 sides meaning there is a 1/6 chance of you to role a 4

3 0
3 years ago
Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.
Jlenok [28]

<u>To find the area of the circle</u>:

 ⇒ need to know the formula: \pi r^{2}

  • r: radius or half of diameter's length ⇒ 7 meters

<u>Let's calculate:</u>

 Area = \pi (7)^2=49\pi =153.9380m^3

<u>The problem asks us to round to the nearest hundreth</u>:

Area = 153.94m^3

<u>Answer:</u> 153.94m^3

Hope that helps!

 

4 0
1 year ago
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