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Slav-nsk [51]
3 years ago
10

Curtis lives 9 miles away from Jean. If Curtis can ride his bike at a constant rate of 12 miles per hour, how many minutes would

it take Curtis to ride his bike from his house to Jean's house?
Please help- 15 points
Mathematics
1 answer:
sasho [114]3 years ago
4 0
It will take Curtis 45 minutes to ride his bike from his house to Jean's house.
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What model for distributive properties Shows that 3(2x+4) is equivalent to 6x+12
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How many 3/4-cup servings are in 1/2 of a cup of milk? Write your answer in simplest form. Write your answer in a fraction.
GalinKa [24]

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3/8

Step-by-step explanation:

The question requires that we find the amount of 3/4 cup servings in 1/2 cup of milk

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Zach is 6 inches shorter than two times his cousin’s height, c. How tall is Zach? To see what Gabriel did wrong, consider that c
irakobra [83]

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2 years ago
Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(
alekssr [168]

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

<em><u>Answer:</u></em>

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

<em><u>Solution:</u></em>

Given function is:

f(x) = (x+4)^2 - 5

The equation in vertex form is given as:

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

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

Minimum\ value = f(\frac{-b}{a})

f(x) = x^2 + 8x + 16 - 5\\\\f(x) = x^2 + 8x + 11

f(x) = ax^2+bx+c

On comparing,

a = 1

b = 8

x = \frac{-b}{2a} = \frac{-8}{2 \times 1} = -4

f(-4) = (-4)^2 + 8(-4) + 11 = 16 - 32 + 11 = -5

Thus, use the (-4, -5) to find the minimum value

Domain and range

f(x) = (x+4)^2 - 5

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

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