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2 years ago

Please explain how you got the answer, i dont understand the subject

Mathematics

1 answer:

KIM [24]2 years ago

5 0

Answer:

y=mx+c

We have to find the value of m and c.

Let's substitute the value of x and y from the table.

When x=1, y=15,

15= m(1)+c

m +c= 15 ------(1)

Now substitute another set of x and y values.

When x=2, y=24,

24= m(2)+c

2m +c= 24

c= 24 -2m ------(2)

Let me rewrite the two equations so that it is clearer for you to see.

m + c= 15 -----(1)

c = 24 -2m -----(2)

subst. (2) into (1):

m+ 24-2m= 15

-m= 15-24 (bring constants to 1 side, m terms to the other)

-m= -9 (simplify)

m= 9 ( divide by -1 throughout)

subst. m=9 into (2):

c= 24 -2(9)

c= 24-18

c= 6

Thus, the equation is y=9x+6.

When the cat is 3 years old, x=3.

When x=3,

y= 9(3)+6

y= 33.

Hence, the cat is 33 years old in human years.

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Help on the second graph

Deffense [45]

Answer:

first graph:

function.

Not one-one

onto

Second graph:

Function

one-one

not onto.

Step-by-step explanation:

We know that a graph is a function if any vertical line parallel to the y-axis should intersect the curve exactly once.

A graph is one-one if any horizontal line parallel to the x-axis or domain should intersect the curve atmost once.

and it is onto if any horizontal line parallel to the domain should intersect the curve atleast once.

Hence, from the first graph:

if we draw a vertical line parallel to the y-axis then it will intersect the graph exactly once. Hence, the graph is a function.

But it is not one-one since any horizontal line parallel to the domain will intersect the curve more than once.

But it is onto, since any horizontal line parallel to the domain will intersect the curve atleast once.

Second graph

It is a function since any vertical line parallel to the co-domain will intersect the curve exactly once.

It is not one-one since any horizontal line parallel to the x-axis does not intersect the graph atmost once.

It is not onto, since any horizontal line parallel to the domain will not intersect the curve atleast once.

7 0

3 years ago

Sarah and Jenna are paid by the hour at their jobs. Their earnings, in dollars, for different numbers of hours worked are shown

Ivan

Answer:

Step-by-step explanation:

6 0

2 years ago

What is the twelfth term in the sequence 13, 26, 39, …?

Gwar [14]

Answer:

Step-by-step explanation:

Given the sequence

13, 26, 39, …

We see it is an AP with

The first term a = 13
Common difference d = 13 ( as 26 - 13 = 39 - 26 = 13)

The 12th term is:

a₁₂ = a + 11d = 13 + 11*13 = 156

7 0

2 years ago

Read 2 more answers

Find the missing measure for a right circular cone given the following information. Find V if r = 2 and L.A. = 12. (16/3)√2 16√2

aksik [14]

Volume of cone is given by formula

$V = \frac{\pi r^{2}h}{3}$ -------------------------------------------(1)

We are already given r =2, so we need to find h and then we can find volume

So missing meausre is height here ------------------------------------------------------------------------------

To find h we will use lateral area = $12\pi$ given

Formula for lateral area of cone is $\pi r\sqrt{r^{2}+ h^{2}}$

so we have $12 = \pi r\sqrt{r^{2}+ h^{2}}$

Now plug r as 2 in this equation

$12 \pi = \pi (2)\sqrt{2^{2}+ h^{2}}$

Now solve for h as shown and get h by itself

$\frac{12\pi}{2\pi} = \frac{2\pi\sqrt{4+h^{2}}}{2 \pi}$

$6 = \sqrt{4+h^{2}}$

$6^{2} = \sqrt{4+h^{2}} ^{2}$

$36} = 4+h^{2}$ $36 - 4 = 4+h^{2} -4$

$32 = h^{2}$ $\sqrt{32} = \sqrt{h^{2}}$

$\sqrt{16 \times 2} = h$ $\sqrt{16} \times \sqrt{2} = h$

$4\sqrt{2} = h$ ----------------------------------------------------(2)

Now plug 2 in r place and $4\sqrt{2}$ in h place in volume formula given in (1)

$V = \frac{\pi r^{2}h}{3}$

$V = \frac{\pi (2)^{2}4\sqrt{2}}{3} [/tex][tex] V = \frac{\pi (4)4\sqrt{2}}{3}$

$V = \frac{16 \pi \sqrt{2}}{3}$

so choice (1) is right answer

$(1) \frac{16 \sqrt{2}\pi}{3}$

correct answer --------------------------------------------------------------------------------------------------

$(2) 16 \sqrt{2} \pi$

incorrect answer as correct volume answer we got as $\frac{16 \sqrt{2}\pi}{3}$ --------------------------------------------------------------------------------------------------

$(3) 4 \sqrt{38} \pi$

incorrect answer as correct volume answer we got as $\frac{16 \sqrt{2}\pi}{3}$ --------------------------------------------------------------------------------------------------------

6 0

3 years ago

Read 2 more answers

A prism is comply filled with 3996 cubes that have edge lengths of 1/3 inches. What is the volume of the prism

stich3 [128]

The volume of a cube by definition is:
V = L ^ 3
Where:
L: side.
We have then that the volume of a cube is:
V = (1/3) ^ 3
V = 1/27
Then, the prism volume is:
Vtotal = 3996 * V
Vtotal = 3996 * (1/27)
Vtotal 148 inches ^ 3
Answer:
the volume of the prism is:
Vtotal 148 inches ^ 3

6 0

3 years ago