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Blizzard [7]
3 years ago
5

delia drove her car 179 miles. The car used 6.04 gallons of gasoline on the drive. Estimate the cars gasoline milage in miles pe

r gallon
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0
29.6 mpg is the answer.
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Liz train for rock climbing 4 days a week
Goshia [24]
7 times 4 =28 this is cuz there is seven days in a week and 7x4
7 0
2 years ago
What expression is equivalent to 9(3x + 8)? *
Nat2105 [25]

Step-by-step explanation:

This is what it is equal to:

9×3x=27x

9×8=72

Therefore it will be:

27x + 72

hope it helps!

8 0
2 years ago
Read 2 more answers
2x^2+3x-2, a=0 How do I find the derivative?
Ghella [55]

You can use the definition:

\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h

Then if

f(x) = 2x^2+3x-2

we have

f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2

Then the derivative is

\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

f'(0) = 4(0) + 3 = 3

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-2) = 3 (<em>x</em> - 0)

<em>y</em> + 2 = 3<em>x</em>

<em>y</em> = 3<em>x</em> - 2

5 0
3 years ago
Please help question is in the picture
lara31 [8.8K]
A=(3.14)(12.5)^2
A=(3.14)(156.25)
A=490.625 ft squared
5 0
3 years ago
Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅
cluponka [151]

Answer:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Step-by-step explanation:

The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.

In this sense, the associative property for the sum is mathematically given by:

(x+y)+z=x+(y+z)

and for the multiplication by:

(xy)z=x(yz)

Now, let:

x=5\\y=3a\\z=4

Using the Associative Property of Multiplication:

(xy)z=x(yz)\\\\Replacing\hspace{3}the\hspace{3}values\\\\(5\cdot 3a)\cdot4=5(3a\cdot 4)

Therefore the equivalent expressions are:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

8 0
3 years ago
Read 2 more answers
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