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4 years ago

Need help with this one as well I would be very grateful please need help !

Mathematics

1 answer:

hram777 [196]4 years ago

8 0

You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.

m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25

Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m" the linear equation looks like this:
y = 0.25x + b

Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)

45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b

Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.

Final equation is:
y = 0.25x + 20

Part B.) If 939 minutes are used. Just put that in for x and solve for y.

y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75

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3 years ago

Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each quadratic graph to its respectiv

ch4aika [34]

Answer:

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

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

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

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

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

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

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

$8=a(-2)(2)$

$a=-2$

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

$-8=a(2-6)(2+2)$

$-8=a(-4)(4)$

$a=0.5$

therefore

The function is equal to

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

3 0

4 years ago

If 12 is equal to 6 plus X then what is X to the 2nd power.

leva [86]

Answer: 36

Step-by-step explanation:

Equation: 12=6+x; x^2

1. Solve for x. X=6

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3 years ago

Which of the following functions is quadratic?

madam [21]

Answer:

f(x)=3(x-4)(x+3)

Step-by-step explanation:

Quadratic function follows the f(x) = ax^2 +bx+c pattern

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f(x)=(3x-12)(x+3) = (3x^2+9x-12x-36) = (3x^2-3x-36)

f(x) = (3x^2-3x-36)

where

a = 3

b = -3

c = -36

7 0

4 years ago