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SashulF [63]
3 years ago
8

Courtney drives 279 miles in 6 hours. What is her unit rate (miles per hour)? Show your written steps to earn full credit.

Mathematics
2 answers:
Serga [27]3 years ago
8 0

Answer:

Step-by-step explanation:

It's hard to show how this is done other than providing an answer.

r = d/t

d = 279 miles

t = 6 hours.

r = 279/6

r = 46.5 miles / hour

Crazy boy [7]3 years ago
3 0

Answer:

46.5 kilometer per hour

Step-by-step explanation:

plz brainliest :)

<em>#</em><em>C</em><em>a</em><em>r</em><em>r</em><em>y</em><em>O</em><em>n</em><em>L</em><em>e</em><em>a</em><em>r</em><em>n</em><em>i</em><em>n</em><em>g</em>

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Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).
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Answer:

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Write g(x) = 40x 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect sq
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The specified function's vertex form is g(x) = 4(x+5)^2 - 100

<h3>What is vertex form of a quadratic equation?</h3>

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

<h3>What is a perfect square polynomial?</h3>

If a polynomial p(x) can be written as:

p(x) = [f(x)]^2

where f(x) is also a polynomial, then p(x) is called as perfect square polynomial

For the considered case, the polynomial specified is;

g(x)  = 40x + 4x^2

  • Case 1: Converting to vertex form

g(x)  = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\

Thus, the vertex form of the considered polynomial is g(x) = 4(x+5)^2 - 100

  • Case 2: Converting to standard form

Standard form of a quadratic polynomial is ax^2 + bx + c

Thus, we get: the considered polynomial in standard form as:

g(x) = 4x^2 +40x

  • Case 3: Factoring the first two terms of polynomial

g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)

  • Case 4: Forming a perfect square trinomial

The considered polynomial has only two terms, therefore, its not a trinomial.

Thus,  the specified function's vertex form is g(x) = 4(x+5)^2 - 100

Learn more about vertex form of a quadratic equation here:

brainly.com/question/9912128

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