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serg [7]
2 years ago
14

the cab charges $1.75 for the flst fee and $0.25 for each mile. write and solve an inequality to determine how many miles eddie

can travel if he his $15 to spend
Mathematics
1 answer:
Dominik [7]2 years ago
6 0

0.25m + 1.75= 15

Move +1.75 to the right side of the equal sign which becomes -1.75

0.25m=15-1.75

subtract 15 and 1.75 which is 13.25

0.25m=13.25

divide 0.25 by both sides. 0.25m divided by 0.25 is 1m and 13.25 divided by 0.25 is 53.

He can travel 53 miles

0.25m + 1.75= 15

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Part 2) The function of the Second graph is f(x)=-2(x-1)(x+3)

Part 3) The function of the Third graph is f(x)=0.5(x-6)(x+2)

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

f(x)=a(x-c)(x-d)

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Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

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The function is equal to

f(x)=a(x-3)(x+1)

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

-4=a(1-3)(1+1)

-4=a(-2)(2)

a=1

therefore

The function is equal to

f(x)=(x-3)(x+1)

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

f(x)=a(x-1)(x+3)

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

8=a(-1-1)(-1+3)

8=a(-2)(2)

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therefore

The function is equal to

f(x)=-2(x-1)(x+3)

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

f(x)=a(x-6)(x+2)

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

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a=0.5

therefore

The function is equal to

f(x)=0.5(x-6)(x+2)

3 0
3 years ago
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