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3 years ago

Which is the rate of change for the interval between 3 and 6 on the x-axis?

Mathematics

2 answers:

Anna71 [15]3 years ago

8 0

Answer:

The correct answer is 2.

Step-by-step explanation:

To find this, first identify the ordered pairs at those two points. They would be (3, -2) and (6, 4). Then use the slope formula with those two points to find the rate of change.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - - 2)/(6 - 3)

m = 6/3

m = 2

nata0808 [166]3 years ago

8 0

Answer:

Step-by-step explanation:

Rate of change on the given interval a to b is

$\frac{f(b)-f(a)}{b-a}$

a=3 and b=6

f(a) and f(b) are the y values on the graph at x=3 and x=6

f(3)= -3 and f(6) is 4

Now plug in the values in the formula

$rate of change =\frac{4-(-2)}{6-3} =\frac{6}{3} =2$

answer is 2

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3 Valley Video charges a $15 annual

djyliett [7]

Answer:

x = 28

Step-by-step explanation:

15 + 3x = 99

-15. -15

3x = 84

3. 3

x = 28

4 0

3 years ago

1/5x + 4 =1/3x-8 Can you show your work too? That would be great

Vikentia [17]

Answer:

Step-by-step explanation:

1/5x+4=1/3x-8

add 8 to both sides and subtract 1/5x from both sides

4+8=1/3x-1/5x

12=5/15x-3/15x

12=2/15x

divide both sides by 2/15

12÷2/15=x

when dividing by a fraction, invert and multiply

12*15/2=x

90=x

CHECK:

1/5(90)+4=1/3(90)-8

18+4=30-8

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5 0

3 years ago

Write the equation of the line with the given slope through the given point Slope = 6; (1, 2).

xz_007 [3.2K]

Answer:

Y=6x-4

Step-by-step explanation:

Y=mx+b

in this cace we have m- the slope

Y=6x+b

now we can plug in the coordinates to solve for b- the y intercept

(1,2) 1 being the x value, and 2 being the y value

2= 1·6+b

2=6+b

-4=b

now we take our previous equation, and add to it

Y=6x-4

4 0

3 years ago

- Let y represent the width of a rectangle and let x represent the rectangle's lengu.

valentina_108 [34]

Answer:

Length: 21 cm and Width: 6cm

Step-by-step explanation:

Let $y$ be the width and $x$ length of the rectangle. We know:

$x = 4y -3$ -------- eq. 1

$54 = 2x + 2y$ (Perimeter of the rectangle) ------- eq. 2

Substitute equation 1 in equation 2:

$54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6$

Using the value of y, we find x.

$x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21$

4 0

3 years ago

Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

ra1l [238]

Answer:

-1.5x + 70

Step-by-step explanation:

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

Now, remaining money left to him after spending on x rides too is

Let f(x) denotes the function used to determine the money he has left over after rides .

So it becomes

f(x) = 70 - 1.50x

f (x) = -1.50x +70

3 0

3 years ago