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Kisachek [45]
2 years ago
15

On​ Saturday, Breanna drove 10 miles. On​ Sunday,40 drove miles. The number of miles drove on Sunday is what percent of the numb

er of miles drove on​ Saturday
Mathematics
1 answer:
erica [24]2 years ago
7 0

Answer:

80%

Step-by-step explanation:

find total miles drove-40+10=50...

50 * 2 = 100

40 * 2 = 80

10 * 2 = 20

80%

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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

4 0
2 years ago
Complete the simplified ratio:<br> 0.2 : 3.75
sesenic [268]

Answer:

1: 18.75

Step-by-step explanation:

We multiply both sides by 5.

4 0
3 years ago
Read 2 more answers
If the length of the longest side of a right triangle is 10 inches is 60 degrees, what is the length (in inches) of the shortest
Scorpion4ik [409]
Yep 5 is correct! Good job
6 0
3 years ago
Bailey bought a lawnmower for $600. The value of the lawnmower depreciates 2% every year. What is the value of the lawnmower aft
givi [52]

Answer:

$542

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

y=a(1-r)^x

where

y is the value of the lawnmower

x is the time in years

a is the initial value

r is the rate of change

we have

a=\$600\\r=2\%=2/100=0.02

substitute

y=600(1-0.02)^x

y=600(0.98)^x

For x=5 years

y=600(0.98)^5=\$542

8 0
3 years ago
For what values of x is the rational expression below undefined?
Marina CMI [18]
Hello,

A fraction is not defined if its denominator is null.

3x²-75=0
==>3(x²-25)=0
==>(x+5)(x-5)=0
==>x=-5 or x=5

8 0
3 years ago
Read 2 more answers
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