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Vika [28.1K]
2 years ago
14

Michael drove 210 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 413 miles?

Mathematics
1 answer:
Mkey [24]2 years ago
3 0

Answer:

210x=3717

x-3717/210

x=7.7 gal1

Step-by-step explanation:


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Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
2 years ago
What is 0.787878....... as a fraction
Vlad1618 [11]

Answer:

26/33

Step-by-step explanation:

The process is:

0.787878

78.7878

78/99x then simplify

3 0
2 years ago
What is the vertex of the graph y = x^2 + 6x - 5 ?
Dafna11 [192]
Given:  <span>y = x^2 + 6x - 5.  Then a = 1, b = 6 and c = -5.

The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.

Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:

y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14

Then the vertex is (-3, -14).</span>
6 0
3 years ago
What is the center and radius of the circle?<br> (x-3)2 + y² = 4
Kipish [7]

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle:  \sf (x-h)^2+(y-k)^2=r^2

(where (h, k) is the center of the circle and r is the radius)

Given equation:

\sf (x-3)^2+y^2=4

Rewrite in standard form:

\sf \implies (x-3)^2+(y-0)^2=2^2

Therefore

  • center = (3, 0)
  • radius = 2
4 0
2 years ago
11. Use multiplication to find an equivalent<br> fraction for 1/3
nikitadnepr [17]

Answer: 1/3*2*2=2/6

Step-by-step explanation:

Hope this helps

4 0
2 years ago
Read 2 more answers
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