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4 years ago

You are running at a rate of 6 miles per hour. Write a function that represents the distance d traveled in h hours.

Mathematics

1 answer:

avanturin [10]4 years ago

8 0

D=6h

The distance equals 6 (since you're running 6mph) times 'h' amount of hours.

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X^2 + 1/2x + = 2 + Help please

Gennadij [26K]

Answer:

Step 2:

For Completing the square,

$(\frac{1}{2} coefficient\ x)^{2} =(\frac{1}{2}\times \frac{1}{2})^{2}=\frac{1}{16}$

Add half coefficient of x square on both the side we get

$x^{2}+\dfrac{x}{2}+\frac{1}{16}=2+\frac{1}{16}$

Step-by-step explanation:

Solve:

$2x^{2}+x-4=0$

$2x^{2}+x=4$

Solution:

Step 1:

Dividing both the side by two we get

$x^{2}+\dfrac{x}{2}=2$

Step 2:

For Completing the square,

$(\frac{1}{2} coefficient\ x)^{2} =(\frac{1}{2}\times \frac{1}{2})^{2}=\frac{1}{16}$

Add half coefficient of x square on both the side we get

$x^{2}+\dfrac{x}{2}+\frac{1}{16}=2+\frac{1}{16}$

Step 3:

We know $(a +b)^{2} = a^{2}+2ab +b^{2}$

$(x+\frac{1}{4})^{2}=\frac{33}{16} \\ \\(x+\dfrac{1}{4})=\pm \sqrt{\dfrac{33}{16}} \\\\x=-\dfrac{1}{4}\pm \sqrt{\dfrac{33}{16}}$

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4 years ago

4/7 of 29= (estimate each product)

Naddika [18.5K]

Answer:

16.6 for nearest tenths

16.57 for nearest hundreths

Step-by-step explanation:

4/7*29/1=

29*7=203/7 to get the same denominator

203 x 4 = 812 mulptiply to get the fraction

7 x 7 = 49

812/49=16.5714285714

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3 years ago

Irene is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 8 inches × 13 1/2 inch

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Answer:

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Step-by-step explanation:

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3 years ago

A soccer team made 24 penalty shots out of 100. Which ratio represents

Misha Larkins [42]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

After plotting the data where x represents the length of the side of a polygon, and f(x) represents the area of the polygon, Jac

garri49 [273]

Answer:

C. 19

Step-by-step explanation:

$f(x) = x {}^{2} + 3x + 1 \\ f(3) = 3 {}^{2} + 3(3) + 1 \\ = 19$

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3 years ago