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2 years ago

Which linear function rule models the table below? (0,6) (5,9) (10,12) (15,15)

Mathematics

1 answer:

Dovator [93]2 years ago

6 0

Answer:

y= 0.6x + 6 or y= 3/5x + 6

Step-by-step explanation:

The function for a linear function is y=mx+b.

We know that b is 6 because that is the y-intercept.

However to find m we need to see how much the x coordinates skip on the table and the y coordinates. We can see that x coordinates skip by 5s and the y corrdinates skip by 3. We than divide 3/5 to get o.6 and we get the equation. This video, tittled "Writing A Linear Equation From A Function Table" explains it much better than I can.

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The number A of tablet computers sold (in millions) can be modeled by the function A=4.5t2+43.5t+17 , where t represents the num

Rina8888 [55]

The problem indicates that A represents the number of tablet computers sold in millions. So, if 65 million were sold, we must substitute A = 65 to the equation. Then, we find for t.

65 = 4.5t² +43.5t + 17
Solving for t using a calculator,
t = 1 and -10.67

Let's take the positive root. So, t=1.
That means the year would be 1 year after 2010. Therefore, the answer is 2011.

6 0

2 years ago

Consider the following.3x + 3y = 8(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differenti

ludmilkaskok [199]

Answer:

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

$3x+3y=8$

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a. $3x+3y=8$

Differentiate w.r.t x then we get

$3+3\frac{dy}{dx}=0$

$3\frac{dy}{dx}=-3$

$\frac{dy}[dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

b. $3x+3y=8$

$3y=8-3x$

$y=\frac{8-3x}{3}$

Differentiate w.r.t x then we get

$\frac{dy}{dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

When we substituting the value of y obtained from part b into a solution of part a then we get

$y'=-1$

Hence, solutions are consistent.

8 0

2 years ago

50 5x + 15 Value of x

GenaCL600 [577]

Answer:

4 love u davy

Step-by-step explanation:

5 0

1 year ago

A box contains

Usimov [2.4K]

the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12

the probability that a crayon from the second box is selected
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4

7 0

2 years ago

Determine the volume of the square pyramid. 12 cm 10 cm 10 cm

Alona [7]

15cm that’s the answer

6 0

2 years ago