Shelly ran 2 1/4 miles Lynne ran 3 1/8 Miles WhobRan Farther and by how much

1 answer:

6 0

Lynne ran farther and by 7/8 miles

You can tell Lynne ran further because she ran 3 whole miles while shelly only ran 2 whole miles. Now you have to subtract to see how much Lynne had ran more.

You found a common denominator between 8 and 4. 4 can turn into 8. so you multiply 4x2 and 1x2 to get a mixed number of 2 2/8

Now you have to turn 3 1/8 because you cannot subtract 2/8 from 1/8. You can turn the fraction into 2 9/8 because there are 8 pieces in a whole.

2 9/8 - 2 2/8 = 0 7/8

Hope this helps! :)

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The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.

Airida [17]

Answer:

a = 2, b = - 5

Step-by-step explanation:

Given

y = ax² + bx

$\frac{dy}{dx}$ is the measure of the slope at x = a

Differentiate each term with respect to x using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

$\frac{dy}{dx}$ = 2ax + b, hence

2ax + b = 3 at (2, - 2)

Substitute x = 2 into $\frac{dy}{dx}$

4a + b = 3 → (1) and substitute x = 2 into y

4a + 2b = - 2 → (2)

Subtract ( 1) from (2)

b = - 2 - 3 = - 5

Substitute b = - 5 into (1)

4a - 5 = 3 ( add 5 to both sides )

4a = 8 ( divide both sides by 4 )

a = 2

7 0

2 years ago

24 is 0.6% of what number

algol [13]

Hello! The answer would be,
38.4
Since if you do 24x0.6 you would get 14.4 which then you would add
14.4 with 24 and get 38.4
Hope I've helped and feel free to ask me questions!

Sincerely, Kaylie :)

8 0

2 years ago

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Help me please:) anyways have a good day

sleet_krkn [62]

The correct answer is option 4! you have a good day as well

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2 years ago

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What is the equation for a quadratic function

GarryVolchara [31]

F(x) = ax^2 + bx + c