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nikklg [1K]
3 years ago
15

Kira runs 4 miles in 30 minutes. at the same rate, how many miles would she run in 48 minutes?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0

Answer:

13

Step-by-step explanation:

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A class of 40 students visits a farm they tour the farm in group of 5 how many groups of 5 can they make?
german

Answer:

8

Step-by-step explanation:

40 grouped into 5 = 40/5 = 8

5 0
3 years ago
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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
if a line contains a the point (0,-1) and has a slope of 2 which of the following points also lies on the line
Fudgin [204]

Answer:

I think 1 1

Step-by-step explanation:

7 0
3 years ago
What is the answer too -9/10 divided by -6/15 pls answer quickly ❤️
ipn [44]

Answer: 2 and 1/4 is the answer do the meth lol

Step-by-step explanation:

8 0
3 years ago
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Which ratio is equivalent to 5/10
grin007 [14]
5÷5=1
10÷5=2
answer is 1:2
3 0
3 years ago
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