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scoray [572]
3 years ago
7

An automobile uses 17 gal of fuel to go to 590mi. How many gallons are required to travel 870mi? (Round your answer to one decim

al)
Mathematics
1 answer:
Valentin [98]3 years ago
4 0

Answer:

Gallons = 27.95

Step-by-step explanation:

Given

Gallons : Miles = 17:590

Required

Determine the number of gallon for 870 miles

To do this, we simply substitute 870 for miles in the ratio above

So, we have:

Gallons : 870= 17:590

Convert to fraction

\frac{Gallons}{870} = \frac{17}{590}

Multiply through  by 870

870 * \frac{Gallons}{870} = \frac{17}{590}*870

Gallons = \frac{17}{590}*970

Gallons = \frac{17*970}{590}

Gallons = \frac{16490}{590}

Gallons = 27.95

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What is dy/dx if y = (x2 + 2)3(x3 + 3)2? A. 3(x2 + 2)2(x3 + 3)2 + 2(x2 + 2)2(x3 + 3) B. 2x(x3 + 3)2 + 3x2(x2 + 2)3 C. 6x(x2 + 2)
Vlada [557]
We want to find \displaystyle{  \frac{dy}{dx}, for

            \displaystyle{ y=(x^2+2)^3(x^3+3)^2.

Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:

                                  (fg)'=f'g+g'f.

Thus,

 y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3

Answer: A)      3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3.



8 0
3 years ago
Need help plzzzz will medal and fan
andriy [413]
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3

Let's check all functions.
1. The function f(x)=x²<span>+2x when evaluated with 3 gives you the value of 3:
  Evaluated with x means that</span> x = 3.
   f(3) = 3² + 2 * 3 = 9 + 6 = 15 
   15 ≠ 3, so, this is not correct.

2. f(x)=x²<span>-3x when evaulated with -3 give you the value of 3
    Evaluated with -3 means that x = -3.
    (f-3) = (-3)</span>² - 3 * (-3) = 9 + 9 = 18 
    18 ≠ 3, so, this is not correct.

3. f(x)=x²<span>+2x when evaluated with -3 gives you the value of 3
</span>    Evaluated with -3 means that x = -3.
    f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
    3 = 3, so this is correct.

4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
    Evaluated with 3 means that x = 3.
    f(3) = (3)² - 3 * 3 = 9 - 9 = 0
    0 ≠ 3, so this is not correct.
6 0
3 years ago
Read 2 more answers
Find three consecutive odd integers such that 10 times the first, plus 10 times the second, equals 10 more than 10 times the thi
SIZIF [17.4K]

Answer:

4

Step-by-step explanation:

If x is the third number, then x−1 and x−2 are the second and first numbers.

10(x−2) + 10(x−1) = 10 + 10x

x − 2 + x − 1 = 1 + x

2x − 3 = 1 + x

x = 4

8 0
3 years ago
Multiply: -14y(y+11)
Daniel [21]

Answer:

-14y^2-154y

Step-by-step explanation:

-14y(y+11)

Distribute

-14y*y + -14y*11

-14y^2-154y

6 0
2 years ago
Read 2 more answers
Pls help me out with this pls ;-;
VikaD [51]

Answer:

Sorry, I only know the answer to B.

Step-by-step explanation:

The answer is 0=0,  2=5, 4=10, 6= 15. Sorry if I am late. But I hope this helps, and Have an amazing day!!

8 0
3 years ago
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