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3 years ago

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Ruby is visiting San Francisco. From her hotel she walks 2 blocks west and 3 blocks north to a coffee shop. Then she walks 7 blo

cks east and 4 blocks north to a museum. Where is the museum in relation to her hotel?

1 answer:

castortr0y [4]3 years ago

7 0

The answer is 16 blocks away

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em> $x =4$ </em>

Step-by-step explanation:

<u>First factorize the function</u>

$f (x) = -2x ^ 2 + 16x-30$

<em>Take -2 as a common factor.</em>

$-2(x ^ 2 -8x +15)$

<em>Now factor the expression $x ^ 2 -8x +15$ </em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

<u>Then the vertice is:</u>

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

$x = 4$

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0

3 years ago

The Chinese system presented in the text has symbols for 1 through 9, and also for 10, 100, and 1000. What is the greatest num

Naddika [18.5K]

To get the biggest possible number, use all the symbols at once. 1000+100+10+9+8+7+6+5+4+3+2+1=what?

4 0

2 years ago

Select the correct answer from each drop-down menu. In the coming year, a vehicle manufacturer has decided to manufacture 150 ve

dezoksy [38]

Answer:

Given:

v = 150d

v represents company's production for the coming year

d represents the number of days

150 is the daily production

The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.

Step-by-step explanation:

7 0

2 years ago

I am confused and it's due tomorrow

shusha [124]

That looks hard... I can see the attachment tho<span />

5 0

3 years ago

Read 2 more answers

PLEASE HELP- Vanessa earns a base salary of $400.00 every week with an additional 5% commission on everything she sells. Vanessa

matrenka [14]

The commission is 5% on everything she sells
If she sold $1650.00
First you have to find her commission
100%=1650
5%=x
100•x=1650•5
100•x=8250
—— ———
100 100
x=82.5(this is her commission)
Now you have to add $82.5 to total she earns in the week.
$400.00+ $82.5 = $482.5
The Vanessa’s total pay last week was $482.5

7 0

3 years ago